%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SET582+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:25:54 AM UTC 2025
% Result : Theorem 36.65s 36.82s
% Output : Proof 37.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET582+3 : TPTP v9.0.0. Released v2.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 05:28:48 EDT 2025
% 0.11/0.33 % CPUTime :
% 36.65/36.82 % SZS status Theorem
% 36.65/36.82 % SZS output start Proof
% 36.65/36.82 tff(member_type, type, (
% 36.65/36.82 member: ( $i * $i ) > $o)).
% 36.65/36.82 tff(union_type, type, (
% 36.65/36.82 union: ( $i * $i ) > $i)).
% 36.65/36.82 tff(difference_type, type, (
% 36.65/36.82 difference: ( $i * $i ) > $i)).
% 36.65/36.82 tff(tptp_fun_B_4_type, type, (
% 36.65/36.82 tptp_fun_B_4: $i)).
% 36.65/36.82 tff(tptp_fun_C_3_type, type, (
% 36.65/36.82 tptp_fun_C_3: $i)).
% 36.65/36.82 tff(tptp_fun_D_2_type, type, (
% 36.65/36.82 tptp_fun_D_2: $i)).
% 36.65/36.82 tff(tptp_fun_D_0_type, type, (
% 36.65/36.82 tptp_fun_D_0: ( $i * $i ) > $i)).
% 36.65/36.82 tff(symmetric_difference_type, type, (
% 36.65/36.82 symmetric_difference: ( $i * $i ) > $i)).
% 36.65/36.82 tff(subset_type, type, (
% 36.65/36.82 subset: ( $i * $i ) > $o)).
% 36.65/36.82 tff(tptp_fun_D_1_type, type, (
% 36.65/36.82 tptp_fun_D_1: ( $i * $i ) > $i)).
% 36.65/36.82 tff(1,plain,
% 36.65/36.82 (^[B: $i, C: $i] : refl((symmetric_difference(B, C) = union(difference(B, C), difference(C, B))) <=> (symmetric_difference(B, C) = union(difference(B, C), difference(C, B))))),
% 36.65/36.82 inference(bind,[status(th)],[])).
% 36.65/36.82 tff(2,plain,
% 36.65/36.82 (![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B))) <=> ![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B)))),
% 36.65/36.82 inference(quant_intro,[status(thm)],[1])).
% 36.65/36.82 tff(3,plain,
% 36.65/36.82 (![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B))) <=> ![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B)))),
% 36.65/36.82 inference(rewrite,[status(thm)],[])).
% 36.65/36.82 tff(4,axiom,(![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','symmetric_difference_defn')).
% 36.65/36.82 tff(5,plain,
% 36.65/36.82 (![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B)))),
% 36.65/36.82 inference(modus_ponens,[status(thm)],[4, 3])).
% 36.65/36.82 tff(6,plain,(
% 36.65/36.82 ![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B)))),
% 36.65/36.82 inference(skolemize,[status(sab)],[5])).
% 36.65/36.82 tff(7,plain,
% 36.65/36.82 (![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B)))),
% 36.65/36.82 inference(modus_ponens,[status(thm)],[6, 2])).
% 36.65/36.82 tff(8,plain,
% 36.65/36.82 ((~![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B)))) | (symmetric_difference(C!3, D!2) = union(difference(C!3, D!2), difference(D!2, C!3)))),
% 36.65/36.82 inference(quant_inst,[status(thm)],[])).
% 36.65/36.82 tff(9,plain,
% 36.65/36.82 (symmetric_difference(C!3, D!2) = union(difference(C!3, D!2), difference(D!2, C!3))),
% 36.65/36.82 inference(unit_resolution,[status(thm)],[8, 7])).
% 36.65/36.82 tff(10,plain,
% 36.65/36.82 (union(difference(C!3, D!2), difference(D!2, C!3)) = symmetric_difference(C!3, D!2)),
% 36.65/36.82 inference(symmetry,[status(thm)],[9])).
% 36.65/36.82 tff(11,plain,
% 36.65/36.82 (^[B: $i, C: $i, D: $i] : refl((~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))))),
% 36.65/36.82 inference(bind,[status(th)],[])).
% 36.65/36.82 tff(12,plain,
% 36.65/36.82 (![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(quant_intro,[status(thm)],[11])).
% 36.65/36.82 tff(13,plain,
% 36.65/36.82 (![B: $i, C: $i] : ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(pull_quant,[status(thm)],[])).
% 36.65/36.82 tff(14,plain,
% 36.65/36.82 (^[B: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(pull_quant(((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) <=> ![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))), ((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) <=> (~![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))))), pull_quant((~![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))) <=> ?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C))))), ((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) <=> ?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))))), (((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))) <=> (?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))), pull_quant((?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))) <=> ?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))), (((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))) <=> ?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))), ((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> (~?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))))), pull_quant((~?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))), ((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))))),
% 36.65/36.82 inference(bind,[status(th)],[])).
% 36.65/36.82 tff(15,plain,
% 36.65/36.82 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i] : ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(quant_intro,[status(thm)],[14])).
% 36.65/36.82 tff(16,plain,
% 36.65/36.82 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(transitivity,[status(thm)],[15, 13])).
% 36.65/36.82 tff(17,plain,
% 36.65/36.82 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(transitivity,[status(thm)],[16, 12])).
% 36.65/36.82 tff(18,plain,
% 36.65/36.82 (^[B: $i, C: $i] : rewrite((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))))),
% 36.65/36.82 inference(bind,[status(th)],[])).
% 36.65/36.82 tff(19,plain,
% 36.65/36.82 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(quant_intro,[status(thm)],[18])).
% 36.65/36.82 tff(20,plain,
% 36.65/36.82 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(transitivity,[status(thm)],[19, 17])).
% 36.65/36.82 tff(21,plain,
% 36.65/36.82 (^[B: $i, C: $i] : trans(monotonicity(rewrite(((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) <=> ((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))), trans(monotonicity(rewrite((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) <=> (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))), (((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))) <=> ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))), rewrite(((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))) <=> ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))), (((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))) <=> ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))), ((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))) <=> (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))))), rewrite((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))), ((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))))),
% 36.65/36.82 inference(bind,[status(th)],[])).
% 36.65/36.82 tff(22,plain,
% 36.65/36.82 (![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))))) <=> ![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(quant_intro,[status(thm)],[21])).
% 36.65/36.82 tff(23,plain,
% 36.65/36.82 (![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C))) <=> ![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))),
% 36.65/36.82 inference(rewrite,[status(thm)],[])).
% 36.65/36.82 tff(24,axiom,(![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','equal_member_defn')).
% 36.65/36.82 tff(25,plain,
% 36.65/36.82 (![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))),
% 36.65/36.82 inference(modus_ponens,[status(thm)],[24, 23])).
% 36.65/36.82 tff(26,plain,(
% 36.65/36.82 ![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))),
% 36.65/36.82 inference(skolemize,[status(sab)],[25])).
% 36.65/36.82 tff(27,plain,
% 36.65/36.82 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(modus_ponens,[status(thm)],[26, 22])).
% 36.65/36.82 tff(28,plain,
% 36.65/36.82 (![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))),
% 36.65/36.82 inference(modus_ponens,[status(thm)],[27, 20])).
% 36.65/36.82 tff(29,plain,
% 36.65/36.82 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(C!3, D!2), C!3) = C!3)) | (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)))) | (~((union(difference(C!3, D!2), C!3) = C!3) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)))))))),
% 36.65/36.82 inference(quant_inst,[status(thm)],[])).
% 36.65/36.82 tff(30,plain,
% 36.65/36.82 (~((~((~(union(difference(C!3, D!2), C!3) = C!3)) | (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)))) | (~((union(difference(C!3, D!2), C!3) = C!3) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))))))),
% 36.65/36.82 inference(unit_resolution,[status(thm)],[29, 28])).
% 36.65/36.82 tff(31,plain,
% 36.65/36.82 (((~((~(union(difference(C!3, D!2), C!3) = C!3)) | (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)))) | (~((union(difference(C!3, D!2), C!3) = C!3) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)))))) | ((union(difference(C!3, D!2), C!3) = C!3) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))))),
% 36.65/36.82 inference(tautology,[status(thm)],[])).
% 36.65/36.82 tff(32,plain,
% 36.65/36.82 ((union(difference(C!3, D!2), C!3) = C!3) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)))),
% 36.65/36.82 inference(unit_resolution,[status(thm)],[31, 30])).
% 36.65/36.82 tff(33,assumption,(~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))), introduced(assumption)).
% 36.65/36.82 tff(34,assumption,(~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)), introduced(assumption)).
% 36.65/36.82 tff(35,assumption,(~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3))), introduced(assumption)).
% 36.65/36.82 tff(36,plain,
% 36.65/36.82 (((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | (~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3))),
% 36.65/36.82 inference(tautology,[status(thm)],[])).
% 36.65/36.82 tff(37,plain,
% 36.65/36.82 (~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)),
% 36.65/36.82 inference(unit_resolution,[status(thm)],[36, 35])).
% 36.65/36.82 tff(38,plain,
% 36.65/36.82 (((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))),
% 36.65/36.82 inference(tautology,[status(thm)],[])).
% 36.65/36.82 tff(39,plain,
% 36.65/36.82 (member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))),
% 36.65/36.82 inference(unit_resolution,[status(thm)],[38, 35])).
% 36.65/36.82 tff(40,assumption,(((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))), introduced(assumption)).
% 36.65/36.82 tff(41,plain,
% 36.65/36.82 (^[B: $i, C: $i, D: $i] : refl((~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C)))) <=> (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C)))))),
% 36.65/36.82 inference(bind,[status(th)],[])).
% 36.65/36.82 tff(42,plain,
% 36.65/36.82 (![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C)))) <=> ![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))),
% 36.67/36.82 inference(quant_intro,[status(thm)],[41])).
% 36.67/36.82 tff(43,plain,
% 36.67/36.82 (^[B: $i, C: $i, D: $i] : trans(trans(monotonicity(rewrite((member(D, B) & (~member(D, C))) <=> (~((~member(D, B)) | member(D, C)))), ((member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C)))) <=> (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C)))))), rewrite((member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C)))) <=> (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))), ((member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C)))) <=> (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C)))))), rewrite((~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C)))) <=> (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))), ((member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C)))) <=> (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))))),
% 36.67/36.82 inference(bind,[status(th)],[])).
% 36.67/36.82 tff(44,plain,
% 36.67/36.82 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C)))) <=> ![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))),
% 36.67/36.82 inference(quant_intro,[status(thm)],[43])).
% 36.67/36.82 tff(45,plain,
% 36.67/36.82 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C)))) <=> ![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 36.67/36.82 inference(rewrite,[status(thm)],[])).
% 36.67/36.82 tff(46,axiom,(![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','difference_defn')).
% 36.67/36.82 tff(47,plain,
% 36.67/36.82 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 36.67/36.82 inference(modus_ponens,[status(thm)],[46, 45])).
% 36.67/36.82 tff(48,plain,(
% 36.67/36.82 ![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 36.67/36.82 inference(skolemize,[status(sab)],[47])).
% 36.67/36.82 tff(49,plain,
% 36.67/36.82 (![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))),
% 36.67/36.82 inference(modus_ponens,[status(thm)],[48, 44])).
% 36.67/36.82 tff(50,plain,
% 36.67/36.82 (![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))),
% 36.67/36.82 inference(modus_ponens,[status(thm)],[49, 42])).
% 36.67/36.82 tff(51,plain,
% 36.67/36.82 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))))),
% 36.67/36.82 inference(quant_inst,[status(thm)],[])).
% 36.67/36.82 tff(52,plain,
% 36.67/36.82 ($false),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[51, 50, 40])).
% 36.67/36.82 tff(53,plain,(~(((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.82 tff(54,plain,
% 36.67/36.82 ((((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), D!2))) | (~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2)))),
% 36.67/36.82 inference(tautology,[status(thm)],[])).
% 36.67/36.82 tff(55,plain,
% 36.67/36.82 ((~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), D!2))) | (~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2)))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[54, 53])).
% 36.67/36.82 tff(56,plain,
% 36.67/36.82 (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), D!2))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[55, 39])).
% 36.67/36.82 tff(57,plain,
% 36.67/36.82 (((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), D!2)) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)),
% 36.67/36.82 inference(tautology,[status(thm)],[])).
% 36.67/36.82 tff(58,plain,
% 36.67/36.82 ($false),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[57, 56, 37])).
% 36.67/36.82 tff(59,plain,((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)), inference(lemma,lemma(discharge,[]))).
% 36.67/36.82 tff(60,plain,
% 36.67/36.82 (^[B: $i, C: $i] : refl((~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))))))),
% 36.67/36.82 inference(bind,[status(th)],[])).
% 36.67/36.82 tff(61,plain,
% 36.67/36.82 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))),
% 36.67/36.82 inference(quant_intro,[status(thm)],[60])).
% 36.67/36.82 tff(62,plain,
% 36.67/36.82 (^[B: $i, C: $i] : rewrite((~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))))))),
% 36.67/36.82 inference(bind,[status(th)],[])).
% 36.67/36.82 tff(63,plain,
% 36.67/36.82 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))),
% 36.67/36.82 inference(quant_intro,[status(thm)],[62])).
% 36.67/36.82 tff(64,plain,
% 36.67/36.82 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))),
% 36.67/36.82 inference(transitivity,[status(thm)],[63, 61])).
% 36.67/36.82 tff(65,plain,
% 36.67/36.82 (^[B: $i, C: $i] : trans(monotonicity(rewrite(((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) <=> ((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))), rewrite((subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))) <=> (subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))), ((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))) <=> (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))))), rewrite((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))), ((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))))),
% 36.67/36.82 inference(bind,[status(th)],[])).
% 36.67/36.82 tff(66,plain,
% 36.67/36.82 (![B: $i, C: $i] : (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C))))) <=> ![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))),
% 36.67/36.82 inference(quant_intro,[status(thm)],[65])).
% 36.67/36.82 tff(67,plain,
% 36.67/36.82 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C))) <=> ![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 36.67/36.82 inference(rewrite,[status(thm)],[])).
% 36.67/36.82 tff(68,plain,
% 36.67/36.82 (^[B: $i, C: $i] : rewrite((subset(B, C) <=> ![D: $i] : (member(D, B) => member(D, C))) <=> (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C))))),
% 36.67/36.82 inference(bind,[status(th)],[])).
% 36.67/36.82 tff(69,plain,
% 36.67/36.82 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : (member(D, B) => member(D, C))) <=> ![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 36.67/36.82 inference(quant_intro,[status(thm)],[68])).
% 36.67/36.82 tff(70,axiom,(![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : (member(D, B) => member(D, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','subset_defn')).
% 36.67/36.82 tff(71,plain,
% 36.67/36.82 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 36.67/36.82 inference(modus_ponens,[status(thm)],[70, 69])).
% 36.67/36.82 tff(72,plain,
% 36.67/36.82 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 36.67/36.82 inference(modus_ponens,[status(thm)],[71, 67])).
% 36.67/36.82 tff(73,plain,(
% 36.67/36.82 ![B: $i, C: $i] : (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))),
% 36.67/36.82 inference(skolemize,[status(sab)],[72])).
% 36.67/36.82 tff(74,plain,
% 36.67/36.82 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))),
% 36.67/36.82 inference(modus_ponens,[status(thm)],[73, 66])).
% 36.67/36.82 tff(75,plain,
% 36.67/36.82 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))),
% 36.67/36.82 inference(modus_ponens,[status(thm)],[74, 64])).
% 36.67/36.82 tff(76,plain,
% 36.67/36.82 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3)))) | (~(subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)))))))),
% 36.67/36.82 inference(quant_inst,[status(thm)],[])).
% 36.67/36.82 tff(77,plain,
% 36.67/36.82 (~((~((~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3)))) | (~(subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3))))))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[76, 75])).
% 36.67/36.82 tff(78,plain,
% 36.67/36.82 (((~((~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3)))) | (~(subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)))))) | (subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3))))),
% 36.67/36.82 inference(tautology,[status(thm)],[])).
% 36.67/36.82 tff(79,plain,
% 36.67/36.82 (subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[78, 77])).
% 36.67/36.82 tff(80,plain,
% 36.67/36.82 ((~(subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3))))) | subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)))),
% 36.67/36.82 inference(tautology,[status(thm)],[])).
% 36.67/36.82 tff(81,plain,
% 36.67/36.82 (subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[80, 79])).
% 36.67/36.82 tff(82,plain,
% 36.67/36.82 (subset(difference(C!3, D!2), C!3)),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[81, 59])).
% 36.67/36.82 tff(83,plain,
% 36.67/36.82 (((~((~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3)))) | (~(subset(difference(C!3, D!2), C!3) | (~((~member(tptp_fun_D_1(C!3, difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(C!3, difference(C!3, D!2)), C!3)))))) | ((~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3)))),
% 36.67/36.82 inference(tautology,[status(thm)],[])).
% 36.67/36.82 tff(84,plain,
% 36.67/36.82 ((~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[83, 77])).
% 36.67/36.82 tff(85,plain,
% 36.67/36.82 ((~((~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3)))) | (~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))),
% 36.67/36.82 inference(tautology,[status(thm)],[])).
% 36.67/36.82 tff(86,plain,
% 36.67/36.82 ((~subset(difference(C!3, D!2), C!3)) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[85, 84])).
% 36.67/36.82 tff(87,plain,
% 36.67/36.82 (![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[86, 82])).
% 36.67/36.82 tff(88,plain,
% 36.67/36.82 (((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))) <=> ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))),
% 36.67/36.82 inference(rewrite,[status(thm)],[])).
% 36.67/36.82 tff(89,plain,
% 36.67/36.82 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))),
% 36.67/36.82 inference(quant_inst,[status(thm)],[])).
% 36.67/36.82 tff(90,plain,
% 36.67/36.82 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)),
% 36.67/36.82 inference(modus_ponens,[status(thm)],[89, 88])).
% 36.67/36.82 tff(91,plain,
% 36.67/36.82 ((~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[90, 87])).
% 36.67/36.82 tff(92,plain,
% 36.67/36.82 (~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[91, 34])).
% 36.67/36.82 tff(93,plain,
% 36.67/36.82 ((member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)),
% 36.67/36.82 inference(tautology,[status(thm)],[])).
% 36.67/36.82 tff(94,plain,
% 36.67/36.82 (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))),
% 36.67/36.82 inference(unit_resolution,[status(thm)],[93, 34, 33])).
% 36.67/36.82 tff(95,assumption,(~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))))), introduced(assumption)).
% 36.67/36.83 tff(96,plain,
% 36.67/36.83 (^[B: $i, C: $i, D: $i] : refl((member(D, union(B, C)) <=> (member(D, C) | member(D, B))) <=> (member(D, union(B, C)) <=> (member(D, C) | member(D, B))))),
% 36.67/36.83 inference(bind,[status(th)],[])).
% 36.67/36.83 tff(97,plain,
% 36.67/36.83 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B))) <=> ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 36.67/36.83 inference(quant_intro,[status(thm)],[96])).
% 36.67/36.83 tff(98,plain,
% 36.67/36.83 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B))) <=> ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 36.67/36.83 inference(rewrite,[status(thm)],[])).
% 36.67/36.83 tff(99,plain,
% 36.67/36.83 (^[B: $i, C: $i, D: $i] : rewrite((member(D, union(B, C)) <=> (member(D, B) | member(D, C))) <=> (member(D, union(B, C)) <=> (member(D, C) | member(D, B))))),
% 36.67/36.83 inference(bind,[status(th)],[])).
% 36.67/36.83 tff(100,plain,
% 36.67/36.83 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, B) | member(D, C))) <=> ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 36.67/36.83 inference(quant_intro,[status(thm)],[99])).
% 36.67/36.83 tff(101,axiom,(![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, B) | member(D, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','union_defn')).
% 36.67/36.83 tff(102,plain,
% 36.67/36.83 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 36.67/36.83 inference(modus_ponens,[status(thm)],[101, 100])).
% 36.67/36.83 tff(103,plain,
% 36.67/36.83 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 36.67/36.83 inference(modus_ponens,[status(thm)],[102, 98])).
% 36.67/36.83 tff(104,plain,(
% 36.67/36.83 ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 36.67/36.83 inference(skolemize,[status(sab)],[103])).
% 36.67/36.83 tff(105,plain,
% 36.67/36.83 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 36.67/36.83 inference(modus_ponens,[status(thm)],[104, 97])).
% 36.67/36.83 tff(106,plain,
% 36.67/36.83 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))))),
% 36.67/36.83 inference(quant_inst,[status(thm)],[])).
% 36.67/36.83 tff(107,plain,
% 36.67/36.83 ($false),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[106, 105, 95])).
% 36.67/36.83 tff(108,plain,(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.83 tff(109,plain,
% 36.67/36.83 ((~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))))) | (~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2)))),
% 36.67/36.83 inference(tautology,[status(thm)],[])).
% 36.67/36.83 tff(110,plain,
% 36.67/36.83 ((~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2)))),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[109, 108])).
% 36.67/36.83 tff(111,plain,
% 36.67/36.83 (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[110, 94])).
% 36.67/36.83 tff(112,plain,
% 36.67/36.83 ((~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2)))) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))),
% 36.67/36.83 inference(tautology,[status(thm)],[])).
% 36.67/36.83 tff(113,plain,
% 36.67/36.83 ($false),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[112, 111, 92, 34])).
% 36.67/36.83 tff(114,plain,(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.83 tff(115,plain,
% 36.67/36.83 (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[114, 33])).
% 36.67/36.83 tff(116,plain,
% 36.67/36.83 ((member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))) | (~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))),
% 36.67/36.83 inference(tautology,[status(thm)],[])).
% 36.67/36.83 tff(117,plain,
% 36.67/36.83 (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[116, 115])).
% 36.67/36.83 tff(118,plain,
% 36.67/36.83 ((member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)) | (~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))),
% 36.67/36.83 inference(tautology,[status(thm)],[])).
% 36.67/36.83 tff(119,plain,
% 36.67/36.83 (~member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[118, 115, 33])).
% 36.67/36.83 tff(120,plain,
% 36.67/36.83 ((~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))))) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))))),
% 36.67/36.83 inference(tautology,[status(thm)],[])).
% 36.67/36.83 tff(121,plain,
% 36.67/36.83 (member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3) | member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), difference(C!3, D!2))))),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[120, 108])).
% 36.67/36.83 tff(122,plain,
% 36.67/36.83 ($false),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[121, 119, 117])).
% 36.67/36.83 tff(123,plain,(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)), inference(lemma,lemma(discharge,[]))).
% 36.67/36.83 tff(124,plain,
% 36.67/36.83 ((~((union(difference(C!3, D!2), C!3) = C!3) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))))) | (union(difference(C!3, D!2), C!3) = C!3) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3)))),
% 36.67/36.83 inference(tautology,[status(thm)],[])).
% 36.67/36.83 tff(125,plain,
% 36.67/36.83 ((~((union(difference(C!3, D!2), C!3) = C!3) | (~(member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(C!3, union(difference(C!3, D!2), C!3)), C!3))))) | (union(difference(C!3, D!2), C!3) = C!3)),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[124, 123])).
% 36.67/36.83 tff(126,plain,
% 36.67/36.83 (union(difference(C!3, D!2), C!3) = C!3),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[125, 32])).
% 36.67/36.83 tff(127,plain,
% 36.67/36.83 (difference(D!2, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)),
% 36.67/36.83 inference(monotonicity,[status(thm)],[126])).
% 36.67/36.83 tff(128,plain,
% 36.67/36.83 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))),
% 36.67/36.83 inference(monotonicity,[status(thm)],[127])).
% 36.67/36.83 tff(129,plain,
% 36.67/36.83 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.83 inference(symmetry,[status(thm)],[128])).
% 36.67/36.83 tff(130,plain,
% 36.67/36.83 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))) <=> (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3))))),
% 36.67/36.83 inference(monotonicity,[status(thm)],[129])).
% 36.67/36.83 tff(131,assumption,(~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))), introduced(assumption)).
% 36.67/36.83 tff(132,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.67/36.83 tff(133,plain,
% 36.67/36.83 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))),
% 36.67/36.83 inference(tautology,[status(thm)],[])).
% 36.67/36.83 tff(134,plain,
% 36.67/36.83 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[133, 132, 131])).
% 36.67/36.83 tff(135,assumption,(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.67/36.83 tff(136,plain,
% 36.67/36.83 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))))),
% 36.67/36.83 inference(quant_inst,[status(thm)],[])).
% 36.67/36.83 tff(137,plain,
% 36.67/36.83 ($false),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[136, 50, 135])).
% 36.67/36.83 tff(138,plain,(~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.83 tff(139,plain,
% 36.67/36.83 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.83 inference(quant_inst,[status(thm)],[])).
% 36.67/36.83 tff(140,plain,
% 36.67/36.83 (~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))))),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[139, 50])).
% 36.67/36.83 tff(141,assumption,(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2))), introduced(assumption)).
% 36.67/36.83 tff(142,plain,
% 36.67/36.83 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2))))),
% 36.67/36.83 inference(rewrite,[status(thm)],[])).
% 36.67/36.83 tff(143,plain,
% 36.67/36.83 ((~(((~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), D!2)) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)))) <=> (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)))),
% 36.67/36.83 inference(rewrite,[status(thm)],[])).
% 36.67/36.83 tff(144,plain,
% 36.67/36.83 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), D!2)) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2))))),
% 36.67/36.83 inference(monotonicity,[status(thm)],[143])).
% 36.67/36.83 tff(145,plain,
% 36.67/36.83 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), D!2)) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2))))),
% 36.67/36.83 inference(transitivity,[status(thm)],[144, 142])).
% 36.67/36.83 tff(146,plain,
% 36.67/36.83 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), D!2)) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2))))),
% 36.67/36.83 inference(quant_inst,[status(thm)],[])).
% 36.67/36.83 tff(147,plain,
% 36.67/36.83 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)))),
% 36.67/36.83 inference(modus_ponens,[status(thm)],[146, 145])).
% 36.67/36.83 tff(148,plain,
% 36.67/36.83 ($false),
% 36.67/36.83 inference(unit_resolution,[status(thm)],[147, 50, 141])).
% 36.67/36.83 tff(149,plain,(~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.83 tff(150,plain,
% 36.67/36.83 (difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)) = difference(C!3, C!3)),
% 36.67/36.83 inference(monotonicity,[status(thm)],[126, 126])).
% 36.67/36.83 tff(151,plain,
% 36.67/36.83 (member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))),
% 36.67/36.83 inference(monotonicity,[status(thm)],[150])).
% 36.67/36.83 tff(152,plain,
% 36.67/36.83 (member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.67/36.83 inference(symmetry,[status(thm)],[151])).
% 36.67/36.83 tff(153,assumption,(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))), introduced(assumption)).
% 36.67/36.83 tff(154,plain,
% 36.67/36.83 (member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.67/36.83 inference(modus_ponens,[status(thm)],[153, 152])).
% 36.67/36.83 tff(155,plain,
% 36.67/36.83 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.83 inference(rewrite,[status(thm)],[])).
% 36.67/36.83 tff(156,plain,
% 36.67/36.83 ((~(((~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.67/36.83 inference(rewrite,[status(thm)],[])).
% 36.67/36.83 tff(157,plain,
% 36.67/36.83 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.83 inference(monotonicity,[status(thm)],[156])).
% 36.67/36.83 tff(158,plain,
% 36.67/36.83 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.83 inference(transitivity,[status(thm)],[157, 155])).
% 36.67/36.83 tff(159,plain,
% 36.67/36.83 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.84 inference(quant_inst,[status(thm)],[])).
% 36.67/36.84 tff(160,plain,
% 36.67/36.84 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.67/36.84 inference(modus_ponens,[status(thm)],[159, 158])).
% 36.67/36.84 tff(161,plain,
% 36.67/36.84 (~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[160, 50])).
% 36.67/36.84 tff(162,plain,
% 36.67/36.84 ($false),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[161, 154])).
% 36.67/36.84 tff(163,plain,(~member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.84 tff(164,plain,
% 36.67/36.84 ((member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) | member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(165,plain,
% 36.67/36.84 (member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[164, 163, 149])).
% 36.67/36.84 tff(166,plain,
% 36.67/36.84 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(D!2, D!2) = difference(C!3, C!3))) | (member(tptp_fun_D_0(difference(D!2, C!3), C!3), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(D!2, C!3), C!3), difference(C!3, C!3))))) | (~((difference(D!2, D!2) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))))))))),
% 36.67/36.84 inference(quant_inst,[status(thm)],[])).
% 36.67/36.84 tff(167,plain,
% 36.67/36.84 (~((~((~(difference(D!2, D!2) = difference(C!3, C!3))) | (member(tptp_fun_D_0(difference(D!2, C!3), C!3), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(D!2, C!3), C!3), difference(C!3, C!3))))) | (~((difference(D!2, D!2) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3)))))))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[166, 28])).
% 36.67/36.84 tff(168,plain,
% 36.67/36.84 (((~((~(difference(D!2, D!2) = difference(C!3, C!3))) | (member(tptp_fun_D_0(difference(D!2, C!3), C!3), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(D!2, C!3), C!3), difference(C!3, C!3))))) | (~((difference(D!2, D!2) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))))))) | ((difference(D!2, D!2) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3)))))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(169,plain,
% 36.67/36.84 ((difference(D!2, D!2) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[168, 167])).
% 36.67/36.84 tff(170,plain,
% 36.67/36.84 ((~((difference(D!2, D!2) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3)))))) | (difference(D!2, D!2) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(171,plain,
% 36.67/36.84 ((difference(D!2, D!2) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(C!3, C!3), difference(D!2, D!2)), difference(C!3, C!3))))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[170, 169])).
% 36.67/36.84 tff(172,plain,
% 36.67/36.84 (difference(D!2, D!2) = difference(C!3, C!3)),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[171, 165])).
% 36.67/36.84 tff(173,plain,
% 36.67/36.84 (difference(C!3, C!3) = difference(D!2, D!2)),
% 36.67/36.84 inference(symmetry,[status(thm)],[172])).
% 36.67/36.84 tff(174,plain,
% 36.67/36.84 (difference(D!2, difference(C!3, C!3)) = difference(D!2, difference(D!2, D!2))),
% 36.67/36.84 inference(monotonicity,[status(thm)],[173])).
% 36.67/36.84 tff(175,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2)))),
% 36.67/36.84 inference(monotonicity,[status(thm)],[174])).
% 36.67/36.84 tff(176,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))),
% 36.67/36.84 inference(symmetry,[status(thm)],[175])).
% 36.67/36.84 tff(177,assumption,(~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2))), introduced(assumption)).
% 36.67/36.84 tff(178,plain,
% 36.67/36.84 ((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2)))) <=> (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3))))),
% 36.67/36.84 inference(monotonicity,[status(thm)],[176])).
% 36.67/36.84 tff(179,assumption,(~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2)))), introduced(assumption)).
% 36.67/36.84 tff(180,plain,
% 36.67/36.84 (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))),
% 36.67/36.84 inference(modus_ponens,[status(thm)],[179, 178])).
% 36.67/36.84 tff(181,plain,
% 36.67/36.84 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))))),
% 36.67/36.84 inference(quant_inst,[status(thm)],[])).
% 36.67/36.84 tff(182,plain,
% 36.67/36.84 (~(((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3))))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[181, 50])).
% 36.67/36.84 tff(183,plain,
% 36.67/36.84 ((member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(184,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[183, 179, 177])).
% 36.67/36.84 tff(185,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))),
% 36.67/36.84 inference(monotonicity,[status(thm)],[150])).
% 36.67/36.84 tff(186,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3)) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.67/36.84 inference(symmetry,[status(thm)],[185])).
% 36.67/36.84 tff(187,assumption,(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))), introduced(assumption)).
% 36.67/36.84 tff(188,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.67/36.84 inference(modus_ponens,[status(thm)],[187, 186])).
% 36.67/36.84 tff(189,plain,
% 36.67/36.84 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.84 inference(rewrite,[status(thm)],[])).
% 36.67/36.84 tff(190,plain,
% 36.67/36.84 ((~(((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.67/36.84 inference(rewrite,[status(thm)],[])).
% 36.67/36.84 tff(191,plain,
% 36.67/36.84 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.84 inference(monotonicity,[status(thm)],[190])).
% 36.67/36.84 tff(192,plain,
% 36.67/36.84 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.84 inference(transitivity,[status(thm)],[191, 189])).
% 36.67/36.84 tff(193,plain,
% 36.67/36.84 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.84 inference(quant_inst,[status(thm)],[])).
% 36.67/36.84 tff(194,plain,
% 36.67/36.84 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.67/36.84 inference(modus_ponens,[status(thm)],[193, 192])).
% 36.67/36.84 tff(195,plain,
% 36.67/36.84 (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[194, 50])).
% 36.67/36.84 tff(196,plain,
% 36.67/36.84 ($false),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[195, 188])).
% 36.67/36.84 tff(197,plain,(~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.84 tff(198,plain,
% 36.67/36.84 ((~((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3)))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(199,plain,
% 36.67/36.84 ((~((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3)))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[198, 197])).
% 36.67/36.84 tff(200,plain,
% 36.67/36.84 (~((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3)))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[199, 184])).
% 36.67/36.84 tff(201,plain,
% 36.67/36.84 ((((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))) | ((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(202,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[201, 200, 182])).
% 36.67/36.84 tff(203,plain,
% 36.67/36.84 ($false),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[202, 180])).
% 36.67/36.84 tff(204,plain,(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) | (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.84 tff(205,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2)))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[204, 177])).
% 36.67/36.84 tff(206,plain,
% 36.67/36.84 (member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))),
% 36.67/36.84 inference(modus_ponens,[status(thm)],[205, 176])).
% 36.67/36.84 tff(207,plain,
% 36.67/36.84 ((member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2)))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(208,plain,
% 36.67/36.84 (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[207, 205, 177])).
% 36.67/36.84 tff(209,plain,
% 36.67/36.84 (((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(210,plain,
% 36.67/36.84 ((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[209, 208])).
% 36.67/36.84 tff(211,plain,
% 36.67/36.84 ((((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))) | (~((~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)) | member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(C!3, C!3)))) | (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3))))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(212,plain,
% 36.67/36.84 (~member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(C!3, C!3)))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[211, 210, 182])).
% 36.67/36.84 tff(213,plain,
% 36.67/36.84 ($false),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[212, 206])).
% 36.67/36.84 tff(214,plain,(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)), inference(lemma,lemma(discharge,[]))).
% 36.67/36.84 tff(215,plain,
% 36.67/36.84 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(D!2, difference(D!2, D!2)) = D!2)) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), D!2)))) | (~((difference(D!2, difference(D!2, D!2)) = D!2) | (~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)))))))),
% 36.67/36.84 inference(quant_inst,[status(thm)],[])).
% 36.67/36.84 tff(216,plain,
% 36.67/36.84 (~((~((~(difference(D!2, difference(D!2, D!2)) = D!2)) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), D!2)))) | (~((difference(D!2, difference(D!2, D!2)) = D!2) | (~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2))))))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[215, 28])).
% 36.67/36.84 tff(217,plain,
% 36.67/36.84 (((~((~(difference(D!2, difference(D!2, D!2)) = D!2)) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), D!2)))) | (~((difference(D!2, difference(D!2, D!2)) = D!2) | (~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)))))) | ((difference(D!2, difference(D!2, D!2)) = D!2) | (~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2))))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(218,plain,
% 36.67/36.84 ((difference(D!2, difference(D!2, D!2)) = D!2) | (~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[217, 216])).
% 36.67/36.84 tff(219,plain,
% 36.67/36.84 ((~((difference(D!2, difference(D!2, D!2)) = D!2) | (~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2))))) | (difference(D!2, difference(D!2, D!2)) = D!2) | (~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)))),
% 36.67/36.84 inference(tautology,[status(thm)],[])).
% 36.67/36.84 tff(220,plain,
% 36.67/36.84 ((difference(D!2, difference(D!2, D!2)) = D!2) | (~(member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(D!2, difference(D!2, difference(D!2, D!2))), D!2)))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[219, 218])).
% 36.67/36.84 tff(221,plain,
% 36.67/36.84 (difference(D!2, difference(D!2, D!2)) = D!2),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[220, 214])).
% 36.67/36.84 tff(222,plain,
% 36.67/36.84 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(difference(D!2, difference(D!2, D!2)), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.84 inference(quant_inst,[status(thm)],[])).
% 36.67/36.84 tff(223,plain,
% 36.67/36.84 (~(((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(difference(D!2, difference(D!2, D!2)), union(difference(C!3, D!2), C!3))))),
% 36.67/36.84 inference(unit_resolution,[status(thm)],[222, 50])).
% 36.67/36.84 tff(224,assumption,(difference(D!2, difference(D!2, D!2)) = D!2), introduced(assumption)).
% 36.67/36.84 tff(225,plain,
% 36.67/36.84 (difference(difference(D!2, difference(D!2, D!2)), union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)),
% 36.67/36.84 inference(monotonicity,[status(thm)],[224, 126])).
% 36.67/36.84 tff(226,plain,
% 36.67/36.84 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(difference(D!2, difference(D!2, D!2)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))),
% 36.67/36.84 inference(monotonicity,[status(thm)],[225])).
% 36.67/36.84 tff(227,plain,
% 36.67/36.84 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(difference(D!2, difference(D!2, D!2)), union(difference(C!3, D!2), C!3)))),
% 36.67/36.84 inference(symmetry,[status(thm)],[226])).
% 36.67/36.84 tff(228,plain,
% 36.67/36.84 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))))),
% 36.67/36.84 inference(rewrite,[status(thm)],[])).
% 36.67/36.84 tff(229,plain,
% 36.67/36.84 ((member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))))),
% 36.67/36.84 inference(rewrite,[status(thm)],[])).
% 36.67/36.84 tff(230,plain,
% 36.67/36.84 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))))),
% 36.67/36.85 inference(monotonicity,[status(thm)],[229])).
% 36.67/36.85 tff(231,plain,
% 36.67/36.85 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))))),
% 36.67/36.85 inference(transitivity,[status(thm)],[230, 228])).
% 36.67/36.85 tff(232,plain,
% 36.67/36.85 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)))),
% 36.67/36.85 inference(quant_inst,[status(thm)],[])).
% 36.67/36.85 tff(233,plain,
% 36.67/36.85 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[232, 231])).
% 36.67/36.85 tff(234,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[233, 105])).
% 36.67/36.85 tff(235,assumption,(~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4))), introduced(assumption)).
% 36.67/36.85 tff(236,assumption,(~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3)))), introduced(assumption)).
% 36.67/36.85 tff(237,plain,
% 36.67/36.85 ((member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(238,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[237, 236, 235])).
% 36.67/36.85 tff(239,plain,
% 36.67/36.85 ((~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(240,plain,
% 36.67/36.85 (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[239, 236, 234])).
% 36.67/36.85 tff(241,plain,
% 36.67/36.85 ((member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))) | (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(242,plain,
% 36.67/36.85 ($false),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[241, 240, 238])).
% 36.67/36.85 tff(243,plain,(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.85 tff(244,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3)))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[243, 235])).
% 36.67/36.85 tff(245,plain,
% 36.67/36.85 ((~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))))) | (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(246,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[245, 244, 234])).
% 36.67/36.85 tff(247,plain,
% 36.67/36.85 ((member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)) | (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(248,plain,
% 36.67/36.85 (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[247, 244, 235])).
% 36.67/36.85 tff(249,plain,
% 36.67/36.85 ((~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(250,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[249, 248, 246])).
% 36.67/36.85 tff(251,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(difference(D!2, difference(D!2, D!2)), union(difference(C!3, D!2), C!3)))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[250, 227])).
% 36.67/36.85 tff(252,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2)),
% 36.67/36.85 inference(monotonicity,[status(thm)],[224])).
% 36.67/36.85 tff(253,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))),
% 36.67/36.85 inference(symmetry,[status(thm)],[252])).
% 36.67/36.85 tff(254,plain,
% 36.67/36.85 ((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2)) <=> (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2))))),
% 36.67/36.85 inference(monotonicity,[status(thm)],[253])).
% 36.67/36.85 tff(255,plain,
% 36.67/36.85 (^[E: $i] : refl((~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2)))) <=> (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2)))))),
% 36.67/36.85 inference(bind,[status(th)],[])).
% 36.67/36.85 tff(256,plain,
% 36.67/36.85 (![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2)))) <=> ![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))),
% 36.67/36.85 inference(quant_intro,[status(thm)],[255])).
% 36.67/36.85 tff(257,plain,
% 36.67/36.85 ((![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2)))) & (~(B!4 = symmetric_difference(C!3, D!2)))) <=> (![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2)))) & (~(B!4 = symmetric_difference(C!3, D!2))))),
% 36.67/36.85 inference(rewrite,[status(thm)],[])).
% 36.67/36.85 tff(258,plain,
% 36.67/36.85 ((~![B: $i, C: $i, D: $i] : ((~![E: $i] : (~(member(E, B) <=> (member(E, C) <=> member(E, D))))) | (B = symmetric_difference(C, D)))) <=> (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (~(member(E, B) <=> (member(E, C) <=> member(E, D))))) | (B = symmetric_difference(C, D))))),
% 36.67/36.85 inference(rewrite,[status(thm)],[])).
% 36.67/36.85 tff(259,plain,
% 36.67/36.85 ((~![B: $i, C: $i, D: $i] : (![E: $i] : ((~member(E, B)) <=> (member(E, C) <=> member(E, D))) => (B = symmetric_difference(C, D)))) <=> (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (~(member(E, B) <=> (member(E, C) <=> member(E, D))))) | (B = symmetric_difference(C, D))))),
% 36.67/36.85 inference(rewrite,[status(thm)],[])).
% 36.67/36.85 tff(260,axiom,(~![B: $i, C: $i, D: $i] : (![E: $i] : ((~member(E, B)) <=> (member(E, C) <=> member(E, D))) => (B = symmetric_difference(C, D)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_th25')).
% 36.67/36.85 tff(261,plain,
% 36.67/36.85 (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (~(member(E, B) <=> (member(E, C) <=> member(E, D))))) | (B = symmetric_difference(C, D)))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[260, 259])).
% 36.67/36.85 tff(262,plain,
% 36.67/36.85 (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (~(member(E, B) <=> (member(E, C) <=> member(E, D))))) | (B = symmetric_difference(C, D)))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[261, 258])).
% 36.67/36.85 tff(263,plain,
% 36.67/36.85 (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (~(member(E, B) <=> (member(E, C) <=> member(E, D))))) | (B = symmetric_difference(C, D)))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[262, 258])).
% 36.67/36.85 tff(264,plain,
% 36.67/36.85 (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (~(member(E, B) <=> (member(E, C) <=> member(E, D))))) | (B = symmetric_difference(C, D)))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[263, 258])).
% 36.67/36.85 tff(265,plain,
% 36.67/36.85 (![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2)))) & (~(B!4 = symmetric_difference(C!3, D!2)))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[264, 257])).
% 36.67/36.85 tff(266,plain,
% 36.67/36.85 (![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))),
% 36.67/36.85 inference(and_elim,[status(thm)],[265])).
% 36.67/36.85 tff(267,plain,
% 36.67/36.85 (![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[266, 256])).
% 36.67/36.85 tff(268,plain,
% 36.67/36.85 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2))))),
% 36.67/36.85 inference(quant_inst,[status(thm)],[])).
% 36.67/36.85 tff(269,plain,
% 36.67/36.85 (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2)))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[268, 267])).
% 36.67/36.85 tff(270,plain,
% 36.67/36.85 ((member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) <=> (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4) | (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(271,plain,
% 36.67/36.85 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2)),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[270, 248, 269])).
% 36.67/36.85 tff(272,assumption,(~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))), introduced(assumption)).
% 36.67/36.85 tff(273,assumption,(~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))), introduced(assumption)).
% 36.67/36.85 tff(274,plain,
% 36.67/36.85 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))),
% 36.67/36.85 inference(monotonicity,[status(thm)],[127])).
% 36.67/36.85 tff(275,plain,
% 36.67/36.85 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.85 inference(symmetry,[status(thm)],[274])).
% 36.67/36.85 tff(276,plain,
% 36.67/36.85 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))),
% 36.67/36.85 inference(quant_inst,[status(thm)],[])).
% 36.67/36.85 tff(277,plain,
% 36.67/36.85 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[276, 50])).
% 36.67/36.85 tff(278,plain,
% 36.67/36.85 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(279,plain,
% 36.67/36.85 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3)))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[278, 273])).
% 36.67/36.85 tff(280,plain,
% 36.67/36.85 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[279, 277])).
% 36.67/36.85 tff(281,assumption,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))), introduced(assumption)).
% 36.67/36.85 tff(282,plain,
% 36.67/36.85 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(283,plain,
% 36.67/36.85 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[282, 281])).
% 36.67/36.85 tff(284,plain,
% 36.67/36.85 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[283, 280])).
% 36.67/36.85 tff(285,plain,
% 36.67/36.85 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.85 inference(modus_ponens,[status(thm)],[284, 275])).
% 36.67/36.85 tff(286,plain,
% 36.67/36.85 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3)))))),
% 36.67/36.85 inference(quant_inst,[status(thm)],[])).
% 36.67/36.85 tff(287,plain,
% 36.67/36.85 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3))))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[286, 50])).
% 36.67/36.85 tff(288,plain,
% 36.67/36.85 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(289,plain,
% 36.67/36.85 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[288, 281])).
% 36.67/36.85 tff(290,plain,
% 36.67/36.85 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3))))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(291,plain,
% 36.67/36.85 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3))))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[290, 289])).
% 36.67/36.85 tff(292,plain,
% 36.67/36.85 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[291, 287])).
% 36.67/36.85 tff(293,plain,
% 36.67/36.85 ($false),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[292, 285])).
% 36.67/36.85 tff(294,plain,((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.85 tff(295,plain,
% 36.67/36.85 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[294, 273])).
% 36.67/36.85 tff(296,plain,
% 36.67/36.85 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))),
% 36.67/36.85 inference(tautology,[status(thm)],[])).
% 36.67/36.85 tff(297,plain,
% 36.67/36.85 ($false),
% 36.67/36.85 inference(unit_resolution,[status(thm)],[296, 295, 273, 272])).
% 36.67/36.86 tff(298,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.86 tff(299,plain,
% 36.67/36.86 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[298, 272])).
% 36.67/36.86 tff(300,plain,
% 36.67/36.86 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(301,plain,
% 36.67/36.86 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[300, 299, 272])).
% 36.67/36.86 tff(302,plain,
% 36.67/36.86 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(303,plain,
% 36.67/36.86 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3)))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[302, 299, 277])).
% 36.67/36.86 tff(304,plain,
% 36.67/36.86 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(305,plain,
% 36.67/36.86 ($false),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[304, 303, 301])).
% 36.67/36.86 tff(306,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.86 tff(307,plain,
% 36.67/36.86 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))) | (~((union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))))))),
% 36.67/36.86 inference(quant_inst,[status(thm)],[])).
% 36.67/36.86 tff(308,plain,
% 36.67/36.86 (~((~((~(union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))) | (~((union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))))))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[307, 28])).
% 36.67/36.86 tff(309,plain,
% 36.67/36.86 (((~((~(union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))) | (~((union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))))) | ((union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(310,plain,
% 36.67/36.86 ((union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[309, 308])).
% 36.67/36.86 tff(311,plain,
% 36.67/36.86 ((~((union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))))) | (union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(312,plain,
% 36.67/36.86 ((union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)), union(difference(C!3, D!2), C!3)), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[311, 310])).
% 36.67/36.86 tff(313,plain,
% 36.67/36.86 (union(difference(C!3, D!2), C!3) = difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[312, 306])).
% 36.67/36.86 tff(314,plain,
% 36.67/36.86 (difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)) = union(difference(C!3, D!2), C!3)),
% 36.67/36.86 inference(symmetry,[status(thm)],[313])).
% 36.67/36.86 tff(315,plain,
% 36.67/36.86 (difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)) = C!3),
% 36.67/36.86 inference(transitivity,[status(thm)],[314, 126])).
% 36.67/36.86 tff(316,plain,
% 36.67/36.86 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3)),
% 36.67/36.86 inference(monotonicity,[status(thm)],[315])).
% 36.67/36.86 tff(317,plain,
% 36.67/36.86 ((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) <=> (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3))),
% 36.67/36.86 inference(monotonicity,[status(thm)],[316])).
% 36.67/36.86 tff(318,plain,
% 36.67/36.86 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))))),
% 36.67/36.86 inference(quant_inst,[status(thm)],[])).
% 36.67/36.86 tff(319,plain,
% 36.67/36.86 (~(((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[318, 50])).
% 36.67/36.86 tff(320,plain,
% 36.67/36.86 (((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))) | (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(321,plain,
% 36.67/36.86 ((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[320, 250])).
% 36.67/36.86 tff(322,plain,
% 36.67/36.86 ((((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))) | (~((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3))))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(323,plain,
% 36.67/36.86 (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(D!2, C!3)))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[322, 321, 319])).
% 36.67/36.86 tff(324,plain,
% 36.67/36.86 (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3)),
% 36.67/36.86 inference(modus_ponens,[status(thm)],[323, 317])).
% 36.67/36.86 tff(325,plain,
% 36.67/36.86 ((~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), C!3) | (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(326,plain,
% 36.67/36.86 (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), D!2)),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[325, 324, 271])).
% 36.67/36.86 tff(327,plain,
% 36.67/36.86 (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))),
% 36.67/36.86 inference(modus_ponens,[status(thm)],[326, 254])).
% 36.67/36.86 tff(328,plain,
% 36.67/36.86 (((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(329,plain,
% 36.67/36.86 ((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[328, 327])).
% 36.67/36.86 tff(330,plain,
% 36.67/36.86 ((((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(difference(D!2, difference(D!2, D!2)), union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(D!2, difference(D!2, D!2)))) | member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), difference(difference(D!2, difference(D!2, D!2)), union(difference(C!3, D!2), C!3))))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(331,plain,
% 36.67/36.86 ($false),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[330, 329, 251, 223])).
% 36.67/36.86 tff(332,plain,((member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)) | (~(difference(D!2, difference(D!2, D!2)) = D!2))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.86 tff(333,plain,
% 36.67/36.86 (member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[332, 221])).
% 36.67/36.86 tff(334,plain,
% 36.67/36.86 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(B!4, difference(D!2, C!3)) = B!4)) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), B!4)))) | (~((union(B!4, difference(D!2, C!3)) = B!4) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)))))))),
% 36.67/36.86 inference(quant_inst,[status(thm)],[])).
% 36.67/36.86 tff(335,plain,
% 36.67/36.86 (~((~((~(union(B!4, difference(D!2, C!3)) = B!4)) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), B!4)))) | (~((union(B!4, difference(D!2, C!3)) = B!4) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4))))))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[334, 28])).
% 36.67/36.86 tff(336,plain,
% 36.67/36.86 (((~((~(union(B!4, difference(D!2, C!3)) = B!4)) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), B!4)))) | (~((union(B!4, difference(D!2, C!3)) = B!4) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)))))) | ((union(B!4, difference(D!2, C!3)) = B!4) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4))))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(337,plain,
% 36.67/36.86 ((union(B!4, difference(D!2, C!3)) = B!4) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[336, 335])).
% 36.67/36.86 tff(338,plain,
% 36.67/36.86 ((~((union(B!4, difference(D!2, C!3)) = B!4) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4))))) | (union(B!4, difference(D!2, C!3)) = B!4) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)))),
% 36.67/36.86 inference(tautology,[status(thm)],[])).
% 36.67/36.86 tff(339,plain,
% 36.67/36.86 ((union(B!4, difference(D!2, C!3)) = B!4) | (~(member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(B!4, union(B!4, difference(D!2, C!3))), B!4)))),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[338, 337])).
% 36.67/36.86 tff(340,plain,
% 36.67/36.86 (union(B!4, difference(D!2, C!3)) = B!4),
% 36.67/36.86 inference(unit_resolution,[status(thm)],[339, 333])).
% 36.67/36.86 tff(341,plain,
% 36.67/36.86 (difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)) = difference(B!4, union(difference(C!3, D!2), C!3))),
% 36.67/36.86 inference(monotonicity,[status(thm)],[340])).
% 36.67/36.86 tff(342,plain,
% 36.67/36.86 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.67/36.86 inference(monotonicity,[status(thm)],[341])).
% 36.67/36.86 tff(343,plain,
% 36.67/36.86 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 36.67/36.86 inference(symmetry,[status(thm)],[342])).
% 36.67/36.86 tff(344,plain,
% 36.67/36.86 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))))),
% 36.67/36.86 inference(monotonicity,[status(thm)],[343])).
% 36.67/36.87 tff(345,plain,
% 36.67/36.87 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(modus_ponens,[status(thm)],[132, 344])).
% 36.67/36.87 tff(346,plain,
% 36.67/36.87 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))) | ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(347,plain,
% 36.67/36.87 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[346, 345, 140])).
% 36.67/36.87 tff(348,assumption,(~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.67/36.87 tff(349,assumption,(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))), introduced(assumption)).
% 36.67/36.87 tff(350,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(modus_ponens,[status(thm)],[349, 129])).
% 36.67/36.87 tff(351,plain,
% 36.67/36.87 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3))))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(352,plain,
% 36.67/36.87 (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[351, 350, 348])).
% 36.67/36.87 tff(353,plain,
% 36.67/36.87 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(354,plain,
% 36.67/36.87 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[353, 352])).
% 36.67/36.87 tff(355,plain,
% 36.67/36.87 (union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)) = union(B!4, difference(D!2, C!3))),
% 36.67/36.87 inference(monotonicity,[status(thm)],[340])).
% 36.67/36.87 tff(356,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))),
% 36.67/36.87 inference(monotonicity,[status(thm)],[355])).
% 36.67/36.87 tff(357,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 36.67/36.87 inference(symmetry,[status(thm)],[356])).
% 36.67/36.87 tff(358,plain,
% 36.67/36.87 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) <=> (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))))),
% 36.67/36.87 inference(monotonicity,[status(thm)],[357])).
% 36.67/36.87 tff(359,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))), introduced(assumption)).
% 36.67/36.87 tff(360,plain,
% 36.67/36.87 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 36.67/36.87 inference(modus_ponens,[status(thm)],[359, 358])).
% 36.67/36.87 tff(361,plain,
% 36.67/36.87 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))))),
% 36.67/36.87 inference(quant_inst,[status(thm)],[])).
% 36.67/36.87 tff(362,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3))))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[361, 105])).
% 36.67/36.87 tff(363,plain,
% 36.67/36.87 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(364,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[363, 349])).
% 36.67/36.87 tff(365,plain,
% 36.67/36.87 ((~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(366,plain,
% 36.67/36.87 ((~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[365, 364])).
% 36.67/36.87 tff(367,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[366, 362])).
% 36.67/36.87 tff(368,plain,
% 36.67/36.87 ($false),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[367, 360])).
% 36.67/36.87 tff(369,plain,(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.87 tff(370,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[369, 349])).
% 36.67/36.87 tff(371,plain,
% 36.67/36.87 ((~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(372,plain,
% 36.67/36.87 ((~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[371, 370])).
% 36.67/36.87 tff(373,plain,
% 36.67/36.87 ($false),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[372, 354, 347])).
% 36.67/36.87 tff(374,plain,((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.87 tff(375,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[374, 138])).
% 36.67/36.87 tff(376,plain,
% 36.67/36.87 ($false),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[375, 134, 132])).
% 36.67/36.87 tff(377,plain,(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.87 tff(378,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[377, 131])).
% 36.67/36.87 tff(379,plain,
% 36.67/36.87 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(380,plain,
% 36.67/36.87 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[379, 378, 131])).
% 36.67/36.87 tff(381,plain,
% 36.67/36.87 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(modus_ponens,[status(thm)],[380, 130])).
% 36.67/36.87 tff(382,assumption,(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.67/36.87 tff(383,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(modus_ponens,[status(thm)],[382, 343])).
% 36.67/36.87 tff(384,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.67/36.87 tff(385,plain,
% 36.67/36.87 ($false),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[384, 383])).
% 36.67/36.87 tff(386,plain,(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.87 tff(387,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[386, 378])).
% 36.67/36.87 tff(388,assumption,(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.67/36.87 tff(389,plain,
% 36.67/36.87 ($false),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[139, 50, 388])).
% 36.67/36.87 tff(390,plain,(~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.87 tff(391,plain,
% 36.67/36.87 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(392,plain,
% 36.67/36.87 ((~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[391, 390])).
% 36.67/36.87 tff(393,plain,
% 36.67/36.87 (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[392, 387])).
% 36.67/36.87 tff(394,plain,
% 36.67/36.87 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(395,plain,
% 36.67/36.87 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[394, 393])).
% 36.67/36.87 tff(396,plain,
% 36.67/36.87 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(397,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[396, 393])).
% 36.67/36.87 tff(398,assumption,(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2))), introduced(assumption)).
% 36.67/36.87 tff(399,plain,
% 36.67/36.87 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2))))),
% 36.67/36.87 inference(quant_inst,[status(thm)],[])).
% 36.67/36.87 tff(400,plain,
% 36.67/36.87 ($false),
% 36.67/36.87 inference(unit_resolution,[status(thm)],[399, 267, 398])).
% 36.67/36.87 tff(401,plain,(~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.87 tff(402,plain,
% 36.67/36.87 (C!3 = union(difference(C!3, D!2), C!3)),
% 36.67/36.87 inference(symmetry,[status(thm)],[126])).
% 36.67/36.87 tff(403,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.67/36.87 inference(monotonicity,[status(thm)],[402])).
% 36.67/36.87 tff(404,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3)),
% 36.67/36.87 inference(symmetry,[status(thm)],[403])).
% 36.67/36.87 tff(405,plain,
% 36.67/36.87 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3))),
% 36.67/36.87 inference(monotonicity,[status(thm)],[404])).
% 36.67/36.87 tff(406,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))), introduced(assumption)).
% 36.67/36.87 tff(407,plain,
% 36.67/36.87 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3)),
% 36.67/36.87 inference(modus_ponens,[status(thm)],[406, 405])).
% 36.67/36.87 tff(408,assumption,(~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)))), introduced(assumption)).
% 36.67/36.87 tff(409,plain,
% 36.67/36.87 (B!4 = union(B!4, difference(D!2, C!3))),
% 36.67/36.87 inference(symmetry,[status(thm)],[340])).
% 36.67/36.87 tff(410,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))),
% 36.67/36.87 inference(monotonicity,[status(thm)],[409])).
% 36.67/36.87 tff(411,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4)),
% 36.67/36.87 inference(symmetry,[status(thm)],[410])).
% 36.67/36.87 tff(412,assumption,(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3)))), introduced(assumption)).
% 36.67/36.87 tff(413,plain,
% 36.67/36.87 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4)),
% 36.67/36.87 inference(modus_ponens,[status(thm)],[412, 411])).
% 36.67/36.87 tff(414,plain,
% 36.67/36.87 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)))),
% 36.67/36.87 inference(tautology,[status(thm)],[])).
% 36.67/36.87 tff(415,plain,
% 36.67/36.87 (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[414, 413, 408])).
% 36.67/36.88 tff(416,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)), introduced(assumption)).
% 36.67/36.88 tff(417,plain,
% 36.67/36.88 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)),
% 36.67/36.88 inference(tautology,[status(thm)],[])).
% 36.67/36.88 tff(418,plain,
% 36.67/36.88 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3)),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[417, 416])).
% 36.67/36.88 tff(419,plain,
% 36.67/36.88 ($false),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[418, 415, 407])).
% 36.67/36.88 tff(420,plain,((member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), B!4) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), C!3) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.88 tff(421,plain,
% 36.67/36.88 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(B!4, difference(D!2, C!3))))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[420, 401])).
% 36.67/36.88 tff(422,plain,
% 36.67/36.88 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[421, 395, 397])).
% 36.67/36.88 tff(423,plain,
% 36.67/36.88 ((~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.67/36.88 inference(tautology,[status(thm)],[])).
% 36.67/36.88 tff(424,plain,
% 36.67/36.88 (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[423, 422, 395])).
% 36.67/36.88 tff(425,plain,
% 36.67/36.88 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))) | ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.88 inference(tautology,[status(thm)],[])).
% 36.67/36.88 tff(426,plain,
% 36.67/36.88 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[425, 138])).
% 36.67/36.88 tff(427,plain,
% 36.67/36.88 (member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[426, 424])).
% 36.67/36.88 tff(428,plain,
% 36.67/36.88 ($false),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[427, 381])).
% 36.67/36.88 tff(429,plain,(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.88 tff(430,plain,
% 36.67/36.88 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(D!2, C!3))))) | (~((difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))))))))),
% 36.67/36.88 inference(quant_inst,[status(thm)],[])).
% 36.67/36.88 tff(431,plain,
% 36.67/36.88 (~((~((~(difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(D!2, C!3))))) | (~((difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))))))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[430, 28])).
% 36.67/36.88 tff(432,plain,
% 36.67/36.88 (((~((~(difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(D!2, C!3))))) | (~((difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))))))) | ((difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))))),
% 36.67/36.88 inference(tautology,[status(thm)],[])).
% 36.67/36.88 tff(433,plain,
% 36.67/36.88 ((difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[432, 431])).
% 36.67/36.88 tff(434,plain,
% 36.67/36.88 ((~((difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3)))))) | (difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))))),
% 36.67/36.88 inference(tautology,[status(thm)],[])).
% 36.67/36.88 tff(435,plain,
% 36.67/36.88 ((difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(B!4, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(B!4, union(difference(C!3, D!2), C!3))), difference(D!2, C!3))))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[434, 433])).
% 36.67/36.88 tff(436,plain,
% 36.67/36.88 (difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[435, 429])).
% 36.67/36.88 tff(437,plain,
% 36.67/36.88 (union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))) = union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.67/36.88 inference(monotonicity,[status(thm)],[173])).
% 36.67/36.88 tff(438,plain,
% 36.67/36.88 (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.88 inference(monotonicity,[status(thm)],[437])).
% 36.67/36.88 tff(439,plain,
% 36.67/36.88 (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.88 inference(symmetry,[status(thm)],[438])).
% 36.67/36.88 tff(440,assumption,(~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.67/36.88 tff(441,assumption,(~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.67/36.88 tff(442,plain,
% 36.67/36.88 ((member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.67/36.88 inference(tautology,[status(thm)],[])).
% 36.67/36.88 tff(443,plain,
% 36.67/36.88 (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[442, 441, 440])).
% 36.67/36.88 tff(444,plain,
% 36.67/36.88 ((~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))) <=> (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))))),
% 36.67/36.88 inference(monotonicity,[status(thm)],[439])).
% 36.67/36.88 tff(445,plain,
% 36.67/36.88 (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.88 inference(modus_ponens,[status(thm)],[441, 444])).
% 36.67/36.88 tff(446,assumption,(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.67/36.88 tff(447,plain,
% 36.67/36.88 ($false),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[446, 445])).
% 36.67/36.88 tff(448,plain,((~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.88 tff(449,plain,
% 36.67/36.88 (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[448, 441])).
% 36.67/36.88 tff(450,assumption,(~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))), introduced(assumption)).
% 36.67/36.88 tff(451,plain,
% 36.67/36.88 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))),
% 36.67/36.88 inference(quant_inst,[status(thm)],[])).
% 36.67/36.88 tff(452,plain,
% 36.67/36.88 ($false),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[451, 105, 450])).
% 36.67/36.88 tff(453,plain,(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.88 tff(454,plain,
% 36.67/36.88 ((~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))),
% 36.67/36.88 inference(tautology,[status(thm)],[])).
% 36.67/36.88 tff(455,plain,
% 36.67/36.88 (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[454, 453])).
% 36.67/36.88 tff(456,plain,
% 36.67/36.88 (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))),
% 36.67/36.88 inference(unit_resolution,[status(thm)],[455, 449])).
% 36.67/36.88 tff(457,plain,
% 36.67/36.88 ((member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))) | (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.88 inference(tautology,[status(thm)],[])).
% 36.67/36.88 tff(458,plain,
% 36.67/36.88 ($false),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[457, 456, 443])).
% 36.67/36.89 tff(459,plain,(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.89 tff(460,plain,
% 36.67/36.89 (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[459, 440])).
% 36.67/36.89 tff(461,plain,
% 36.67/36.89 (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.89 inference(modus_ponens,[status(thm)],[460, 439])).
% 36.67/36.89 tff(462,assumption,(member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.67/36.89 tff(463,plain,
% 36.67/36.89 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.89 inference(rewrite,[status(thm)],[])).
% 36.67/36.89 tff(464,plain,
% 36.67/36.89 ((~(((~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> (~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.67/36.89 inference(rewrite,[status(thm)],[])).
% 36.67/36.89 tff(465,plain,
% 36.67/36.89 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.89 inference(monotonicity,[status(thm)],[464])).
% 36.67/36.89 tff(466,plain,
% 36.67/36.89 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.89 inference(transitivity,[status(thm)],[465, 463])).
% 36.67/36.89 tff(467,plain,
% 36.67/36.89 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.67/36.89 inference(quant_inst,[status(thm)],[])).
% 36.67/36.89 tff(468,plain,
% 36.67/36.89 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.67/36.89 inference(modus_ponens,[status(thm)],[467, 466])).
% 36.67/36.89 tff(469,plain,
% 36.67/36.89 ($false),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[468, 50, 462])).
% 36.67/36.89 tff(470,plain,(~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.89 tff(471,assumption,(difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)), introduced(assumption)).
% 36.67/36.89 tff(472,plain,
% 36.67/36.89 (tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) = tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.89 inference(monotonicity,[status(thm)],[471])).
% 36.67/36.89 tff(473,plain,
% 36.67/36.89 (tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) = tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.89 inference(symmetry,[status(thm)],[472])).
% 36.67/36.89 tff(474,plain,
% 36.67/36.89 (member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))),
% 36.67/36.89 inference(monotonicity,[status(thm)],[473, 150])).
% 36.67/36.89 tff(475,plain,
% 36.67/36.89 (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)) <=> member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.67/36.89 inference(symmetry,[status(thm)],[474])).
% 36.67/36.89 tff(476,assumption,(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))), introduced(assumption)).
% 36.67/36.89 tff(477,plain,
% 36.67/36.89 (member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.67/36.89 inference(modus_ponens,[status(thm)],[476, 475])).
% 36.67/36.89 tff(478,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.67/36.89 tff(479,plain,
% 36.67/36.89 ($false),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[478, 477])).
% 36.67/36.89 tff(480,plain,(member(tptp_fun_D_0(difference(D!2, C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))) | (~(difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.89 tff(481,plain,
% 36.67/36.89 ((~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))) | (~(difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, C!3)))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[480, 470])).
% 36.67/36.89 tff(482,plain,
% 36.67/36.89 (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[481, 436])).
% 36.67/36.89 tff(483,plain,
% 36.67/36.89 ((member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))) | (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.89 inference(tautology,[status(thm)],[])).
% 36.67/36.89 tff(484,plain,
% 36.67/36.89 (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[483, 460, 440])).
% 36.67/36.89 tff(485,plain,
% 36.67/36.89 ((~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))),
% 36.67/36.89 inference(tautology,[status(thm)],[])).
% 36.67/36.89 tff(486,plain,
% 36.67/36.89 (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[485, 484, 482])).
% 36.67/36.89 tff(487,plain,
% 36.67/36.89 ((~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))) | (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))) | (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))),
% 36.67/36.89 inference(tautology,[status(thm)],[])).
% 36.67/36.89 tff(488,plain,
% 36.67/36.89 ((~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))) | (member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[487, 453])).
% 36.67/36.89 tff(489,plain,
% 36.67/36.89 (~member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, C!3), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[488, 486])).
% 36.67/36.89 tff(490,plain,
% 36.67/36.89 ($false),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[489, 461])).
% 36.67/36.89 tff(491,plain,(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.89 tff(492,plain,
% 36.67/36.89 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(B!4, union(difference(C!3, D!2), C!3)))))) | (~((union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))))))))),
% 36.67/36.89 inference(quant_inst,[status(thm)],[])).
% 36.67/36.89 tff(493,plain,
% 36.67/36.89 (~((~((~(union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(B!4, union(difference(C!3, D!2), C!3)))))) | (~((union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))))))))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[492, 28])).
% 36.67/36.89 tff(494,plain,
% 36.67/36.89 (((~((~(union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(B!4, union(difference(C!3, D!2), C!3)))))) | (~((union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))))))) | ((union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))))))),
% 36.67/36.89 inference(tautology,[status(thm)],[])).
% 36.67/36.89 tff(495,plain,
% 36.67/36.89 ((union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))))),
% 36.67/36.89 inference(unit_resolution,[status(thm)],[494, 493])).
% 36.67/36.89 tff(496,plain,
% 36.67/36.89 ((~((union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3))))))) | (union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(497,plain,
% 36.67/36.90 ((union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(B!4, union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))), difference(B!4, union(difference(C!3, D!2), C!3)))))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[496, 495])).
% 36.67/36.90 tff(498,plain,
% 36.67/36.90 (union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = difference(B!4, union(difference(C!3, D!2), C!3))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[497, 491])).
% 36.67/36.90 tff(499,plain,
% 36.67/36.90 (^[B: $i, C: $i] : refl((union(B, C) = union(C, B)) <=> (union(B, C) = union(C, B)))),
% 36.67/36.90 inference(bind,[status(th)],[])).
% 36.67/36.90 tff(500,plain,
% 36.67/36.90 (![B: $i, C: $i] : (union(B, C) = union(C, B)) <=> ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 36.67/36.90 inference(quant_intro,[status(thm)],[499])).
% 36.67/36.90 tff(501,plain,
% 36.67/36.90 (![B: $i, C: $i] : (union(B, C) = union(C, B)) <=> ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 36.67/36.90 inference(rewrite,[status(thm)],[])).
% 36.67/36.90 tff(502,axiom,(![B: $i, C: $i] : (union(B, C) = union(C, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','commutativity_of_union')).
% 36.67/36.90 tff(503,plain,
% 36.67/36.90 (![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 36.67/36.90 inference(modus_ponens,[status(thm)],[502, 501])).
% 36.67/36.90 tff(504,plain,(
% 36.67/36.90 ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 36.67/36.90 inference(skolemize,[status(sab)],[503])).
% 36.67/36.90 tff(505,plain,
% 36.67/36.90 (![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 36.67/36.90 inference(modus_ponens,[status(thm)],[504, 500])).
% 36.67/36.90 tff(506,plain,
% 36.67/36.90 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(difference(B!4, union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.67/36.90 inference(quant_inst,[status(thm)],[])).
% 36.67/36.90 tff(507,plain,
% 36.67/36.90 (union(difference(B!4, union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[506, 505])).
% 36.67/36.90 tff(508,assumption,(~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))), introduced(assumption)).
% 36.67/36.90 tff(509,plain,
% 36.67/36.90 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))),
% 36.67/36.90 inference(quant_inst,[status(thm)],[])).
% 36.67/36.90 tff(510,plain,
% 36.67/36.90 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[509, 50])).
% 36.67/36.90 tff(511,assumption,(~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))), introduced(assumption)).
% 36.67/36.90 tff(512,plain,
% 36.67/36.90 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(513,plain,
% 36.67/36.90 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[512, 511, 508])).
% 36.67/36.90 tff(514,plain,
% 36.67/36.90 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(515,plain,
% 36.67/36.90 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[514, 511])).
% 36.67/36.90 tff(516,plain,
% 36.67/36.90 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(517,plain,
% 36.67/36.90 ($false),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[516, 515, 513, 510])).
% 36.67/36.90 tff(518,plain,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))), inference(lemma,lemma(discharge,[]))).
% 36.67/36.90 tff(519,plain,
% 36.67/36.90 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[518, 508])).
% 36.67/36.90 tff(520,plain,
% 36.67/36.90 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), B!4) <=> (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))))),
% 36.67/36.90 inference(quant_inst,[status(thm)],[])).
% 36.67/36.90 tff(521,plain,
% 36.67/36.90 (~(member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), B!4) <=> (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[520, 267])).
% 36.67/36.90 tff(522,plain,
% 36.67/36.90 (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), B!4)),
% 36.67/36.90 inference(monotonicity,[status(thm)],[340])).
% 36.67/36.90 tff(523,plain,
% 36.67/36.90 ((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))) <=> (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), B!4))),
% 36.67/36.90 inference(monotonicity,[status(thm)],[522])).
% 36.67/36.90 tff(524,plain,
% 36.67/36.90 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))))),
% 36.67/36.90 inference(quant_inst,[status(thm)],[])).
% 36.67/36.90 tff(525,plain,
% 36.67/36.90 (~(((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[524, 50])).
% 36.67/36.90 tff(526,plain,
% 36.67/36.90 (difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 36.67/36.90 inference(monotonicity,[status(thm)],[340])).
% 36.67/36.90 tff(527,plain,
% 36.67/36.90 (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.67/36.90 inference(monotonicity,[status(thm)],[526])).
% 36.67/36.90 tff(528,plain,
% 36.67/36.90 (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.67/36.90 inference(symmetry,[status(thm)],[527])).
% 36.67/36.90 tff(529,assumption,(~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))), introduced(assumption)).
% 36.67/36.90 tff(530,plain,
% 36.67/36.90 (((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(531,plain,
% 36.67/36.90 (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[530, 529])).
% 36.67/36.90 tff(532,plain,
% 36.67/36.90 (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.67/36.90 inference(modus_ponens,[status(thm)],[531, 528])).
% 36.67/36.90 tff(533,plain,
% 36.67/36.90 ((((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(534,plain,
% 36.67/36.90 (~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3))))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[533, 532, 525])).
% 36.67/36.90 tff(535,plain,
% 36.67/36.90 (((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3))))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(536,plain,
% 36.67/36.90 (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[535, 534])).
% 36.67/36.90 tff(537,plain,
% 36.67/36.90 (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), B!4)),
% 36.67/36.90 inference(modus_ponens,[status(thm)],[536, 523])).
% 36.67/36.90 tff(538,plain,
% 36.67/36.90 (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3)),
% 36.67/36.90 inference(monotonicity,[status(thm)],[126])).
% 36.67/36.90 tff(539,plain,
% 36.67/36.90 (((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(540,plain,
% 36.67/36.90 (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(C!3, D!2), C!3))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[539, 534])).
% 36.67/36.90 tff(541,plain,
% 36.67/36.90 (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3)),
% 36.67/36.90 inference(modus_ponens,[status(thm)],[540, 538])).
% 36.67/36.90 tff(542,plain,
% 36.67/36.90 (((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)) | (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(543,plain,
% 36.67/36.90 (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[542, 529])).
% 36.67/36.90 tff(544,plain,
% 36.67/36.90 ((~(member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3)) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(545,plain,
% 36.67/36.90 ((~(member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | (~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[544, 543])).
% 36.67/36.90 tff(546,plain,
% 36.67/36.90 (~(member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[545, 541])).
% 36.67/36.90 tff(547,plain,
% 36.67/36.90 ((member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), B!4) <=> (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), B!4) | (member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), C!3) <=> member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 36.67/36.90 inference(tautology,[status(thm)],[])).
% 36.67/36.90 tff(548,plain,
% 36.67/36.90 ($false),
% 36.67/36.90 inference(unit_resolution,[status(thm)],[547, 546, 537, 521])).
% 36.67/36.90 tff(549,plain,((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)), inference(lemma,lemma(discharge,[]))).
% 36.67/36.90 tff(550,plain,
% 36.67/36.90 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))),
% 36.67/36.90 inference(rewrite,[status(thm)],[])).
% 36.67/36.90 tff(551,plain,
% 36.67/36.90 ((~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~(subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2) | (~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))))))) <=> (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))),
% 36.67/36.91 inference(rewrite,[status(thm)],[])).
% 36.67/36.91 tff(552,plain,
% 36.67/36.91 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~(subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2) | (~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))),
% 36.67/36.91 inference(monotonicity,[status(thm)],[551])).
% 36.67/36.91 tff(553,plain,
% 36.67/36.91 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~(subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2) | (~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))),
% 36.67/36.91 inference(transitivity,[status(thm)],[552, 550])).
% 36.67/36.91 tff(554,plain,
% 36.67/36.91 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~(subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2) | (~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2)))))))),
% 36.67/36.91 inference(quant_inst,[status(thm)],[])).
% 36.67/36.91 tff(555,plain,
% 36.67/36.91 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))),
% 36.67/36.91 inference(modus_ponens,[status(thm)],[554, 553])).
% 36.67/36.91 tff(556,plain,
% 36.67/36.91 (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[555, 75])).
% 36.67/36.91 tff(557,plain,
% 36.67/36.91 (((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | ((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.67/36.91 inference(tautology,[status(thm)],[])).
% 36.67/36.91 tff(558,plain,
% 36.67/36.91 ((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[557, 556])).
% 36.67/36.91 tff(559,plain,
% 36.67/36.91 ((~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)),
% 36.67/36.91 inference(tautology,[status(thm)],[])).
% 36.67/36.91 tff(560,plain,
% 36.67/36.91 ((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[559, 558])).
% 36.67/36.91 tff(561,plain,
% 36.67/36.91 (subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[560, 549])).
% 36.67/36.91 tff(562,plain,
% 36.67/36.91 (((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | ((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))),
% 36.67/36.91 inference(tautology,[status(thm)],[])).
% 36.67/36.91 tff(563,plain,
% 36.67/36.91 ((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[562, 556])).
% 36.67/36.91 tff(564,plain,
% 36.67/36.91 ((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2)))) | (~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))),
% 36.67/36.91 inference(tautology,[status(thm)],[])).
% 36.67/36.91 tff(565,plain,
% 36.67/36.91 ((~subset(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[564, 563])).
% 36.67/36.91 tff(566,plain,
% 36.67/36.91 (![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[565, 561])).
% 36.67/36.91 tff(567,plain,
% 36.67/36.91 (((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) <=> ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 36.67/36.91 inference(rewrite,[status(thm)],[])).
% 36.67/36.91 tff(568,plain,
% 36.67/36.91 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 36.67/36.91 inference(quant_inst,[status(thm)],[])).
% 36.67/36.91 tff(569,plain,
% 36.67/36.91 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)),
% 36.67/36.91 inference(modus_ponens,[status(thm)],[568, 567])).
% 36.67/36.91 tff(570,plain,
% 36.67/36.91 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[569, 566, 519])).
% 36.67/36.91 tff(571,plain,
% 36.67/36.91 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 36.67/36.91 inference(tautology,[status(thm)],[])).
% 36.67/36.91 tff(572,plain,
% 36.67/36.91 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[571, 570])).
% 36.67/36.91 tff(573,plain,
% 36.67/36.91 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 36.67/36.91 inference(tautology,[status(thm)],[])).
% 36.67/36.91 tff(574,plain,
% 36.67/36.91 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[573, 519, 508])).
% 36.67/36.91 tff(575,plain,
% 36.67/36.91 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.67/36.91 inference(tautology,[status(thm)],[])).
% 36.67/36.91 tff(576,plain,
% 36.67/36.91 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[575, 574])).
% 36.67/36.91 tff(577,plain,
% 36.67/36.91 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.67/36.91 inference(unit_resolution,[status(thm)],[576, 510])).
% 36.67/36.91 tff(578,plain,
% 36.67/36.91 ((~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.67/36.91 inference(tautology,[status(thm)],[])).
% 36.67/36.91 tff(579,plain,
% 36.67/36.91 ((~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.76/36.92 inference(unit_resolution,[status(thm)],[578, 519])).
% 36.76/36.92 tff(580,plain,
% 36.76/36.92 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.76/36.92 inference(unit_resolution,[status(thm)],[579, 577])).
% 36.76/36.92 tff(581,assumption,(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), introduced(assumption)).
% 36.76/36.92 tff(582,plain,
% 36.76/36.92 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 36.76/36.92 inference(quant_inst,[status(thm)],[])).
% 36.76/36.92 tff(583,plain,
% 36.76/36.92 ($false),
% 36.76/36.92 inference(unit_resolution,[status(thm)],[582, 50, 581])).
% 36.76/36.92 tff(584,plain,(~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.92 tff(585,plain,
% 36.76/36.92 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.92 inference(tautology,[status(thm)],[])).
% 36.76/36.92 tff(586,plain,
% 36.76/36.92 ((~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.92 inference(unit_resolution,[status(thm)],[585, 584])).
% 36.76/36.92 tff(587,plain,
% 36.76/36.92 ($false),
% 36.76/36.92 inference(unit_resolution,[status(thm)],[586, 580, 572])).
% 36.76/36.92 tff(588,plain,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.92 tff(589,plain,
% 36.76/36.92 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))))),
% 36.76/36.92 inference(rewrite,[status(thm)],[])).
% 36.76/36.92 tff(590,plain,
% 36.76/36.92 ((~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))))) <=> (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))))),
% 36.76/36.92 inference(rewrite,[status(thm)],[])).
% 36.76/36.92 tff(591,plain,
% 36.76/36.92 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))))),
% 36.76/36.92 inference(monotonicity,[status(thm)],[590])).
% 36.76/36.92 tff(592,plain,
% 36.76/36.92 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))))),
% 36.76/36.92 inference(transitivity,[status(thm)],[591, 589])).
% 36.76/36.92 tff(593,plain,
% 36.76/36.92 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))))))),
% 36.76/36.92 inference(quant_inst,[status(thm)],[])).
% 36.76/36.92 tff(594,plain,
% 36.76/36.92 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))))),
% 36.76/36.93 inference(modus_ponens,[status(thm)],[593, 592])).
% 36.76/36.93 tff(595,plain,
% 36.76/36.93 (~((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[594, 28])).
% 36.76/36.93 tff(596,plain,
% 36.76/36.93 (((~((~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | ((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 36.76/36.93 inference(tautology,[status(thm)],[])).
% 36.76/36.93 tff(597,plain,
% 36.76/36.93 ((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[596, 595])).
% 36.76/36.93 tff(598,plain,
% 36.76/36.93 ((~((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.93 inference(tautology,[status(thm)],[])).
% 36.76/36.93 tff(599,plain,
% 36.76/36.93 ((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[598, 597])).
% 36.76/36.93 tff(600,plain,
% 36.76/36.93 (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[599, 588])).
% 36.76/36.93 tff(601,plain,
% 36.76/36.93 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.93 inference(monotonicity,[status(thm)],[600])).
% 36.76/36.93 tff(602,plain,
% 36.76/36.93 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.93 inference(symmetry,[status(thm)],[601])).
% 36.76/36.93 tff(603,plain,
% 36.76/36.93 (tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)) = tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.93 inference(monotonicity,[status(thm)],[600])).
% 36.76/36.93 tff(604,plain,
% 36.76/36.93 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.93 inference(monotonicity,[status(thm)],[603, 600])).
% 36.76/36.93 tff(605,plain,
% 36.76/36.93 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.93 inference(transitivity,[status(thm)],[604, 602])).
% 36.76/36.93 tff(606,plain,
% 36.76/36.93 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.76/36.93 inference(monotonicity,[status(thm)],[605])).
% 36.76/36.93 tff(607,assumption,(~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))), introduced(assumption)).
% 36.76/36.93 tff(608,plain,
% 36.76/36.93 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))))),
% 36.76/36.93 inference(quant_inst,[status(thm)],[])).
% 36.76/36.93 tff(609,plain,
% 36.76/36.93 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[608, 50])).
% 36.76/36.93 tff(610,plain,
% 36.76/36.93 (difference(union(difference(C!3, D!2), C!3), D!2) = difference(C!3, D!2)),
% 36.76/36.93 inference(monotonicity,[status(thm)],[126])).
% 36.76/36.93 tff(611,plain,
% 36.76/36.93 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))),
% 36.76/36.93 inference(monotonicity,[status(thm)],[610])).
% 36.76/36.93 tff(612,plain,
% 36.76/36.93 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.76/36.93 inference(symmetry,[status(thm)],[611])).
% 36.76/36.93 tff(613,plain,
% 36.76/36.93 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2)))),
% 36.76/36.93 inference(monotonicity,[status(thm)],[612])).
% 36.76/36.93 tff(614,plain,
% 36.76/36.93 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))))),
% 36.76/36.93 inference(quant_inst,[status(thm)],[])).
% 36.76/36.93 tff(615,plain,
% 36.76/36.93 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[614, 50])).
% 36.76/36.93 tff(616,plain,
% 36.76/36.93 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))))),
% 36.76/36.93 inference(quant_inst,[status(thm)],[])).
% 36.76/36.93 tff(617,plain,
% 36.76/36.93 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[616, 50])).
% 36.76/36.93 tff(618,assumption,(~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 36.76/36.93 tff(619,assumption,(~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))), introduced(assumption)).
% 36.76/36.93 tff(620,plain,
% 36.76/36.93 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))),
% 36.76/36.93 inference(monotonicity,[status(thm)],[402])).
% 36.76/36.93 tff(621,plain,
% 36.76/36.93 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3)),
% 36.76/36.93 inference(symmetry,[status(thm)],[620])).
% 36.76/36.93 tff(622,plain,
% 36.76/36.93 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.76/36.93 inference(quant_inst,[status(thm)],[])).
% 36.76/36.93 tff(623,plain,
% 36.76/36.93 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[622, 50])).
% 36.76/36.93 tff(624,assumption,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))), introduced(assumption)).
% 36.76/36.93 tff(625,plain,
% 36.76/36.93 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.76/36.93 inference(tautology,[status(thm)],[])).
% 36.76/36.93 tff(626,plain,
% 36.76/36.93 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[625, 624])).
% 36.76/36.93 tff(627,plain,
% 36.76/36.93 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4))),
% 36.76/36.93 inference(unit_resolution,[status(thm)],[626, 623])).
% 36.76/36.93 tff(628,plain,
% 36.76/36.93 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(629,plain,
% 36.76/36.94 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[628, 627])).
% 36.76/36.94 tff(630,plain,
% 36.76/36.94 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3)),
% 36.76/36.94 inference(modus_ponens,[status(thm)],[629, 621])).
% 36.76/36.94 tff(631,plain,
% 36.76/36.94 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))))),
% 36.76/36.94 inference(quant_inst,[status(thm)],[])).
% 36.76/36.94 tff(632,plain,
% 36.76/36.94 (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[631, 267])).
% 36.76/36.94 tff(633,plain,
% 36.76/36.94 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(634,plain,
% 36.76/36.94 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[633, 627])).
% 36.76/36.94 tff(635,plain,
% 36.76/36.94 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(636,plain,
% 36.76/36.94 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[635, 634])).
% 36.76/36.94 tff(637,plain,
% 36.76/36.94 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[636, 632])).
% 36.76/36.94 tff(638,plain,
% 36.76/36.94 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(639,plain,
% 36.76/36.94 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[638, 619])).
% 36.76/36.94 tff(640,plain,
% 36.76/36.94 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[639, 617])).
% 36.76/36.94 tff(641,plain,
% 36.76/36.94 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(642,plain,
% 36.76/36.94 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[641, 629, 640])).
% 36.76/36.94 tff(643,plain,
% 36.76/36.94 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(644,plain,
% 36.76/36.94 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[643, 642])).
% 36.76/36.94 tff(645,plain,
% 36.76/36.94 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[644, 615])).
% 36.76/36.94 tff(646,plain,
% 36.76/36.94 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(647,plain,
% 36.76/36.94 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[646, 645])).
% 36.76/36.94 tff(648,plain,
% 36.76/36.94 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(649,plain,
% 36.76/36.94 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3)),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[648, 647, 637])).
% 36.76/36.94 tff(650,plain,
% 36.76/36.94 ($false),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[649, 630])).
% 36.76/36.94 tff(651,plain,((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.94 tff(652,plain,
% 36.76/36.94 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[651, 619])).
% 36.76/36.94 tff(653,plain,
% 36.76/36.94 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(654,plain,
% 36.76/36.94 ($false),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[653, 652, 619, 618])).
% 36.76/36.94 tff(655,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.94 tff(656,plain,
% 36.76/36.94 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[655, 618])).
% 36.76/36.94 tff(657,plain,
% 36.76/36.94 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(658,plain,
% 36.76/36.94 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[657, 656, 617])).
% 36.76/36.94 tff(659,plain,
% 36.76/36.94 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(660,plain,
% 36.76/36.94 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))),
% 36.76/36.94 inference(unit_resolution,[status(thm)],[659, 658])).
% 36.76/36.94 tff(661,plain,
% 36.76/36.94 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))),
% 36.76/36.94 inference(tautology,[status(thm)],[])).
% 36.76/36.94 tff(662,plain,
% 36.76/36.94 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[661, 660])).
% 36.76/36.95 tff(663,plain,
% 36.76/36.95 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[662, 615])).
% 36.76/36.95 tff(664,plain,
% 36.76/36.95 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(665,plain,
% 36.76/36.95 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[664, 656, 618])).
% 36.76/36.95 tff(666,plain,
% 36.76/36.95 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(667,plain,
% 36.76/36.95 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[666, 665, 623])).
% 36.76/36.95 tff(668,plain,
% 36.76/36.95 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(difference(C!3, D!2), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(669,plain,
% 36.76/36.95 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[668, 658])).
% 36.76/36.95 tff(670,plain,
% 36.76/36.95 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(671,plain,
% 36.76/36.95 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[670, 669, 667])).
% 36.76/36.95 tff(672,plain,
% 36.76/36.95 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)))),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(673,plain,
% 36.76/36.95 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[672, 671])).
% 36.76/36.95 tff(674,plain,
% 36.76/36.95 (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[673, 632])).
% 36.76/36.95 tff(675,plain,
% 36.76/36.95 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3)),
% 36.76/36.95 inference(modus_ponens,[status(thm)],[669, 621])).
% 36.76/36.95 tff(676,plain,
% 36.76/36.95 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), C!3)) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(677,plain,
% 36.76/36.95 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[676, 675, 674])).
% 36.76/36.95 tff(678,plain,
% 36.76/36.95 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(679,plain,
% 36.76/36.95 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(C!3, D!2))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[678, 677, 663])).
% 36.76/36.95 tff(680,plain,
% 36.76/36.95 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.76/36.95 inference(modus_ponens,[status(thm)],[679, 613])).
% 36.76/36.95 tff(681,plain,
% 36.76/36.95 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2))))),
% 36.76/36.95 inference(quant_inst,[status(thm)],[])).
% 36.76/36.95 tff(682,plain,
% 36.76/36.95 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2)))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[681, 50])).
% 36.76/36.95 tff(683,plain,
% 36.76/36.95 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(684,plain,
% 36.76/36.95 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[683, 669, 677])).
% 36.76/36.95 tff(685,plain,
% 36.76/36.95 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.76/36.95 inference(tautology,[status(thm)],[])).
% 36.76/36.95 tff(686,plain,
% 36.76/36.95 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[685, 684])).
% 36.76/36.95 tff(687,plain,
% 36.76/36.95 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[686, 682])).
% 36.76/36.95 tff(688,plain,
% 36.76/36.95 ($false),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[687, 680])).
% 36.76/36.95 tff(689,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.95 tff(690,plain,
% 36.76/36.95 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(D!2, difference(C!3, D!2)), difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(D!2, difference(C!3, D!2)), difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))))))),
% 36.76/36.95 inference(quant_inst,[status(thm)],[])).
% 36.76/36.95 tff(691,plain,
% 36.76/36.95 (~((~((~(difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(D!2, difference(C!3, D!2)), difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(D!2, difference(C!3, D!2)), difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 36.76/36.95 inference(unit_resolution,[status(thm)],[690, 28])).
% 36.76/36.95 tff(692,plain,
% 36.76/36.95 (((~((~(difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(D!2, difference(C!3, D!2)), difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(D!2, difference(C!3, D!2)), difference(D!2, C!3)), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))))) | ((difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(693,plain,
% 36.76/36.96 ((difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[692, 691])).
% 36.76/36.96 tff(694,plain,
% 36.76/36.96 ((~((difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4)))))) | (difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(695,plain,
% 36.76/36.96 ((difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[694, 693])).
% 36.76/36.96 tff(696,plain,
% 36.76/36.96 (difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[695, 689])).
% 36.76/36.96 tff(697,assumption,(~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2)))), introduced(assumption)).
% 36.76/36.96 tff(698,assumption,(~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))), introduced(assumption)).
% 36.76/36.96 tff(699,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(union(difference(C!3, D!2), C!3), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))),
% 36.76/36.96 inference(monotonicity,[status(thm)],[610])).
% 36.76/36.96 tff(700,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.76/36.96 inference(symmetry,[status(thm)],[699])).
% 36.76/36.96 tff(701,assumption,(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))), introduced(assumption)).
% 36.76/36.96 tff(702,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.76/36.96 inference(modus_ponens,[status(thm)],[701, 700])).
% 36.76/36.96 tff(703,plain,
% 36.76/36.96 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(union(difference(C!3, D!2), C!3), D!2))))),
% 36.76/36.96 inference(quant_inst,[status(thm)],[])).
% 36.76/36.96 tff(704,plain,
% 36.76/36.96 (~(((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(union(difference(C!3, D!2), C!3), D!2)))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[703, 50])).
% 36.76/36.96 tff(705,plain,
% 36.76/36.96 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))))),
% 36.76/36.96 inference(quant_inst,[status(thm)],[])).
% 36.76/36.96 tff(706,plain,
% 36.76/36.96 (~(((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[705, 50])).
% 36.76/36.96 tff(707,plain,
% 36.76/36.96 ((((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))) | ((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(708,plain,
% 36.76/36.96 ((((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))) | ((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[707, 698])).
% 36.76/36.96 tff(709,plain,
% 36.76/36.96 ((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[708, 706])).
% 36.76/36.96 tff(710,plain,
% 36.76/36.96 ((~((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2))) | (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(711,plain,
% 36.76/36.96 ((~((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[710, 701])).
% 36.76/36.96 tff(712,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[711, 709])).
% 36.76/36.96 tff(713,plain,
% 36.76/36.96 (((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) | (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(714,plain,
% 36.76/36.96 ((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[713, 712])).
% 36.76/36.96 tff(715,plain,
% 36.76/36.96 ((((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(union(difference(C!3, D!2), C!3), D!2))) | (~((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2))) | (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(union(difference(C!3, D!2), C!3), D!2)))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(716,plain,
% 36.76/36.96 (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[715, 714, 704])).
% 36.76/36.96 tff(717,plain,
% 36.76/36.96 ($false),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[716, 702])).
% 36.76/36.96 tff(718,plain,((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.96 tff(719,plain,
% 36.76/36.96 (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[718, 698])).
% 36.76/36.96 tff(720,plain,
% 36.76/36.96 ((member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(721,plain,
% 36.76/36.96 ($false),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[720, 719, 698, 697])).
% 36.76/36.96 tff(722,plain,(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.96 tff(723,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[722, 697])).
% 36.76/36.96 tff(724,plain,
% 36.76/36.96 ((member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))) | (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2)))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(725,plain,
% 36.76/36.96 (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[724, 723, 697])).
% 36.76/36.96 tff(726,plain,
% 36.76/36.96 ((((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2))) | (~((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2))) | (~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(727,plain,
% 36.76/36.96 (~((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[726, 723, 706])).
% 36.76/36.96 tff(728,plain,
% 36.76/36.96 (((~member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), D!2)) | member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(729,plain,
% 36.76/36.96 ($false),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[728, 727, 725])).
% 36.76/36.96 tff(730,plain,(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.96 tff(731,plain,
% 36.76/36.96 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(C!3, D!2), D!2) = difference(C!3, D!2))) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(C!3, D!2))))) | (~((difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)) | (~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))))))))),
% 36.76/36.96 inference(quant_inst,[status(thm)],[])).
% 36.76/36.96 tff(732,plain,
% 36.76/36.96 (~((~((~(difference(difference(C!3, D!2), D!2) = difference(C!3, D!2))) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(C!3, D!2))))) | (~((difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)) | (~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2)))))))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[731, 28])).
% 36.76/36.96 tff(733,plain,
% 36.76/36.96 (((~((~(difference(difference(C!3, D!2), D!2) = difference(C!3, D!2))) | (member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(D!2, difference(D!2, C!3)), difference(C!3, D!2))))) | (~((difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)) | (~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))))))) | ((difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)) | (~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2)))))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(734,plain,
% 36.76/36.96 ((difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)) | (~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[733, 732])).
% 36.76/36.96 tff(735,plain,
% 36.76/36.96 ((~((difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)) | (~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2)))))) | (difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)) | (~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(736,plain,
% 36.76/36.96 ((difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)) | (~(member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(difference(C!3, D!2), D!2)), difference(C!3, D!2))))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[735, 734])).
% 36.76/36.96 tff(737,plain,
% 36.76/36.96 (difference(difference(C!3, D!2), D!2) = difference(C!3, D!2)),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[736, 730])).
% 36.76/36.96 tff(738,plain,
% 36.76/36.96 (difference(C!3, D!2) = difference(difference(C!3, D!2), D!2)),
% 36.76/36.96 inference(symmetry,[status(thm)],[737])).
% 36.76/36.96 tff(739,plain,
% 36.76/36.96 (difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)) = difference(union(difference(C!3, D!2), C!3), difference(difference(C!3, D!2), D!2))),
% 36.76/36.96 inference(monotonicity,[status(thm)],[738])).
% 36.76/36.96 tff(740,plain,
% 36.76/36.96 (difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.76/36.96 inference(transitivity,[status(thm)],[739, 696, 600])).
% 36.76/36.96 tff(741,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.96 inference(monotonicity,[status(thm)],[740])).
% 36.76/36.96 tff(742,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.76/36.96 inference(symmetry,[status(thm)],[741])).
% 36.76/36.96 tff(743,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.76/36.96 inference(transitivity,[status(thm)],[604, 742])).
% 36.76/36.96 tff(744,assumption,(~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))), introduced(assumption)).
% 36.76/36.96 tff(745,plain,
% 36.76/36.96 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.96 inference(tautology,[status(thm)],[])).
% 36.76/36.96 tff(746,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.96 inference(unit_resolution,[status(thm)],[745, 744, 607])).
% 36.76/36.96 tff(747,plain,
% 36.76/36.96 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.76/36.96 inference(modus_ponens,[status(thm)],[746, 743])).
% 36.76/36.96 tff(748,plain,
% 36.76/36.96 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))))),
% 36.76/36.97 inference(tautology,[status(thm)],[])).
% 36.76/36.97 tff(749,plain,
% 36.76/36.97 (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2)))),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[748, 747, 609])).
% 36.76/36.97 tff(750,plain,
% 36.76/36.97 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))),
% 36.76/36.97 inference(quant_inst,[status(thm)],[])).
% 36.76/36.97 tff(751,plain,
% 36.76/36.97 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[750, 50])).
% 36.76/36.97 tff(752,plain,
% 36.76/36.97 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.97 inference(monotonicity,[status(thm)],[603])).
% 36.76/36.97 tff(753,plain,
% 36.76/36.97 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.97 inference(monotonicity,[status(thm)],[752])).
% 36.76/36.97 tff(754,plain,
% 36.76/36.97 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.97 inference(modus_ponens,[status(thm)],[744, 753])).
% 36.76/36.97 tff(755,plain,
% 36.76/36.97 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.97 inference(tautology,[status(thm)],[])).
% 36.76/36.97 tff(756,plain,
% 36.76/36.97 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[755, 754, 751])).
% 36.76/36.97 tff(757,plain,
% 36.76/36.97 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.97 inference(modus_ponens,[status(thm)],[746, 605])).
% 36.76/36.97 tff(758,plain,
% 36.76/36.97 ((~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))),
% 36.76/36.97 inference(tautology,[status(thm)],[])).
% 36.76/36.97 tff(759,plain,
% 36.76/36.97 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[758, 757, 756])).
% 36.76/36.97 tff(760,plain,
% 36.76/36.97 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2)))),
% 36.76/36.97 inference(tautology,[status(thm)],[])).
% 36.76/36.97 tff(761,plain,
% 36.76/36.97 ($false),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[760, 759, 749])).
% 36.76/36.97 tff(762,plain,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.97 tff(763,plain,
% 36.76/36.97 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[762, 607])).
% 36.76/36.97 tff(764,plain,
% 36.76/36.97 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.97 inference(tautology,[status(thm)],[])).
% 36.76/36.97 tff(765,plain,
% 36.76/36.97 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[764, 763, 607])).
% 36.76/36.97 tff(766,plain,
% 36.76/36.97 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.97 inference(modus_ponens,[status(thm)],[765, 606])).
% 36.76/36.97 tff(767,plain,
% 36.76/36.97 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.97 inference(modus_ponens,[status(thm)],[763, 752])).
% 36.76/36.97 tff(768,plain,
% 36.76/36.97 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.97 inference(tautology,[status(thm)],[])).
% 36.76/36.97 tff(769,plain,
% 36.76/36.97 (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2)))),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[768, 767, 751])).
% 36.76/36.97 tff(770,plain,
% 36.76/36.97 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.97 inference(tautology,[status(thm)],[])).
% 36.76/36.97 tff(771,plain,
% 36.76/36.97 ($false),
% 36.76/36.97 inference(unit_resolution,[status(thm)],[770, 769, 766])).
% 36.76/36.97 tff(772,plain,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.97 tff(773,plain,
% 36.76/36.97 (![B: $i, C: $i] : ((~![D: $i] : (member(D, B) <=> member(D, C))) | (B = C)) <=> ![B: $i, C: $i] : ((~![D: $i] : (member(D, B) <=> member(D, C))) | (B = C))),
% 36.76/36.97 inference(rewrite,[status(thm)],[])).
% 36.76/36.97 tff(774,plain,
% 36.76/36.97 (^[B: $i, C: $i] : rewrite((![D: $i] : (member(D, B) <=> member(D, C)) => (B = C)) <=> ((~![D: $i] : (member(D, B) <=> member(D, C))) | (B = C)))),
% 36.76/36.97 inference(bind,[status(th)],[])).
% 36.76/36.97 tff(775,plain,
% 36.76/36.97 (![B: $i, C: $i] : (![D: $i] : (member(D, B) <=> member(D, C)) => (B = C)) <=> ![B: $i, C: $i] : ((~![D: $i] : (member(D, B) <=> member(D, C))) | (B = C))),
% 36.76/36.97 inference(quant_intro,[status(thm)],[774])).
% 36.76/36.97 tff(776,axiom,(![B: $i, C: $i] : (![D: $i] : (member(D, B) <=> member(D, C)) => (B = C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','member_equal')).
% 36.76/36.97 tff(777,plain,
% 36.76/36.97 (![B: $i, C: $i] : ((~![D: $i] : (member(D, B) <=> member(D, C))) | (B = C))),
% 36.76/36.97 inference(modus_ponens,[status(thm)],[776, 775])).
% 36.76/36.97 tff(778,plain,
% 36.76/36.97 (![B: $i, C: $i] : ((~![D: $i] : (member(D, B) <=> member(D, C))) | (B = C))),
% 36.76/36.97 inference(modus_ponens,[status(thm)],[777, 773])).
% 36.76/36.97 tff(779,plain,(
% 36.76/36.97 ![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))),
% 36.76/36.97 inference(skolemize,[status(sab)],[778])).
% 36.76/36.97 tff(780,plain,
% 36.76/36.97 (((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | ((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) <=> ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.97 inference(rewrite,[status(thm)],[])).
% 36.76/36.97 tff(781,plain,
% 36.76/36.97 ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | ((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.98 inference(quant_inst,[status(thm)],[])).
% 36.76/36.98 tff(782,plain,
% 36.76/36.98 ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.98 inference(modus_ponens,[status(thm)],[781, 780])).
% 36.76/36.98 tff(783,plain,
% 36.76/36.98 ((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[782, 779])).
% 36.76/36.98 tff(784,plain,
% 36.76/36.98 (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[783, 772])).
% 36.76/36.98 tff(785,plain,
% 36.76/36.98 (difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.76/36.98 inference(monotonicity,[status(thm)],[784])).
% 36.76/36.98 tff(786,plain,
% 36.76/36.98 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.98 inference(monotonicity,[status(thm)],[785])).
% 36.76/36.98 tff(787,plain,
% 36.76/36.98 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.76/36.98 inference(symmetry,[status(thm)],[786])).
% 36.76/36.98 tff(788,assumption,(~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))), introduced(assumption)).
% 36.76/36.98 tff(789,plain,
% 36.76/36.98 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 36.76/36.98 inference(quant_inst,[status(thm)],[])).
% 36.76/36.98 tff(790,plain,
% 36.76/36.98 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[789, 50])).
% 36.76/36.98 tff(791,assumption,(~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2))), introduced(assumption)).
% 36.76/36.98 tff(792,plain,
% 36.76/36.98 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2))),
% 36.76/36.98 inference(tautology,[status(thm)],[])).
% 36.76/36.98 tff(793,plain,
% 36.76/36.98 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[792, 791])).
% 36.76/36.98 tff(794,plain,
% 36.76/36.98 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.98 inference(tautology,[status(thm)],[])).
% 36.76/36.98 tff(795,plain,
% 36.76/36.98 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[794, 791])).
% 36.76/36.98 tff(796,plain,
% 36.76/36.98 (((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2))) <=> ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2))),
% 36.76/36.98 inference(rewrite,[status(thm)],[])).
% 36.76/36.98 tff(797,plain,
% 36.76/36.98 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2))),
% 36.76/36.98 inference(quant_inst,[status(thm)],[])).
% 36.76/36.98 tff(798,plain,
% 36.76/36.98 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)),
% 36.76/36.98 inference(modus_ponens,[status(thm)],[797, 796])).
% 36.76/36.98 tff(799,plain,
% 36.76/36.98 ($false),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[798, 566, 795, 793])).
% 36.76/36.98 tff(800,plain,((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)), inference(lemma,lemma(discharge,[]))).
% 36.76/36.98 tff(801,plain,
% 36.76/36.98 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.98 inference(tautology,[status(thm)],[])).
% 36.76/36.98 tff(802,plain,
% 36.76/36.98 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[801, 800])).
% 36.76/36.98 tff(803,plain,
% 36.76/36.98 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[802, 790])).
% 36.76/36.98 tff(804,plain,
% 36.76/36.98 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.98 inference(tautology,[status(thm)],[])).
% 36.76/36.98 tff(805,plain,
% 36.76/36.98 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.76/36.98 inference(unit_resolution,[status(thm)],[804, 803, 788])).
% 36.76/36.98 tff(806,plain,
% 36.76/36.98 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.76/36.98 inference(modus_ponens,[status(thm)],[805, 787])).
% 36.76/36.98 tff(807,plain,
% 36.76/36.98 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.76/36.98 inference(rewrite,[status(thm)],[])).
% 36.76/36.98 tff(808,plain,
% 36.76/36.98 ((~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.76/36.98 inference(rewrite,[status(thm)],[])).
% 36.76/36.98 tff(809,plain,
% 36.76/36.98 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.76/36.98 inference(monotonicity,[status(thm)],[808])).
% 36.76/36.98 tff(810,plain,
% 36.76/36.98 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.76/36.99 inference(transitivity,[status(thm)],[809, 807])).
% 36.76/36.99 tff(811,plain,
% 36.76/36.99 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.76/36.99 inference(quant_inst,[status(thm)],[])).
% 36.76/36.99 tff(812,plain,
% 36.76/36.99 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.76/36.99 inference(modus_ponens,[status(thm)],[811, 810])).
% 36.76/36.99 tff(813,plain,
% 36.76/36.99 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.76/36.99 inference(unit_resolution,[status(thm)],[812, 50])).
% 36.76/36.99 tff(814,plain,
% 36.76/36.99 ($false),
% 36.76/36.99 inference(unit_resolution,[status(thm)],[813, 806])).
% 36.76/36.99 tff(815,plain,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 36.76/36.99 tff(816,plain,
% 36.76/36.99 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))))))),
% 36.76/36.99 inference(quant_inst,[status(thm)],[])).
% 36.76/36.99 tff(817,plain,
% 36.76/36.99 (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))))))),
% 36.76/36.99 inference(unit_resolution,[status(thm)],[816, 28])).
% 36.76/36.99 tff(818,plain,
% 36.76/36.99 (((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))))) | ((difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))))),
% 36.84/36.99 inference(tautology,[status(thm)],[])).
% 36.84/36.99 tff(819,plain,
% 36.84/36.99 ((difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))),
% 36.84/36.99 inference(unit_resolution,[status(thm)],[818, 817])).
% 36.84/36.99 tff(820,plain,
% 36.84/36.99 ((~((difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))),
% 36.84/36.99 inference(tautology,[status(thm)],[])).
% 36.84/36.99 tff(821,plain,
% 36.84/36.99 ((difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))),
% 36.84/36.99 inference(unit_resolution,[status(thm)],[820, 819])).
% 36.84/36.99 tff(822,plain,
% 36.84/36.99 (difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.84/36.99 inference(unit_resolution,[status(thm)],[821, 815])).
% 36.84/36.99 tff(823,plain,
% 36.84/36.99 (difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)),
% 36.84/36.99 inference(symmetry,[status(thm)],[822])).
% 36.84/36.99 tff(824,assumption,(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))), introduced(assumption)).
% 36.84/36.99 tff(825,plain,
% 36.84/36.99 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))),
% 36.84/36.99 inference(quant_inst,[status(thm)],[])).
% 36.84/36.99 tff(826,plain,
% 36.84/36.99 ($false),
% 36.84/36.99 inference(unit_resolution,[status(thm)],[825, 50, 824])).
% 36.84/36.99 tff(827,plain,(~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))), inference(lemma,lemma(discharge,[]))).
% 36.84/36.99 tff(828,plain,
% 36.84/36.99 (difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 36.84/36.99 inference(transitivity,[status(thm)],[739, 696])).
% 36.84/36.99 tff(829,plain,
% 36.84/36.99 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.84/36.99 inference(monotonicity,[status(thm)],[828])).
% 36.84/36.99 tff(830,plain,
% 36.84/36.99 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.84/36.99 inference(symmetry,[status(thm)],[829])).
% 36.84/36.99 tff(831,assumption,(~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))), introduced(assumption)).
% 36.84/36.99 tff(832,plain,
% 36.84/36.99 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.84/36.99 inference(tautology,[status(thm)],[])).
% 36.84/36.99 tff(833,plain,
% 36.84/36.99 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.84/36.99 inference(unit_resolution,[status(thm)],[832, 831])).
% 36.84/36.99 tff(834,plain,
% 36.84/36.99 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.84/37.00 inference(modus_ponens,[status(thm)],[833, 830])).
% 36.84/37.00 tff(835,plain,
% 36.84/37.00 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))))),
% 36.84/37.00 inference(quant_inst,[status(thm)],[])).
% 36.84/37.00 tff(836,plain,
% 36.84/37.00 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[835, 50])).
% 36.84/37.00 tff(837,plain,
% 36.84/37.00 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))),
% 36.84/37.00 inference(quant_inst,[status(thm)],[])).
% 36.84/37.00 tff(838,plain,
% 36.84/37.00 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[837, 50])).
% 36.84/37.00 tff(839,plain,
% 36.84/37.00 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.84/37.00 inference(tautology,[status(thm)],[])).
% 36.84/37.00 tff(840,plain,
% 36.84/37.00 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[839, 831])).
% 36.84/37.00 tff(841,plain,
% 36.84/37.00 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.84/37.00 inference(tautology,[status(thm)],[])).
% 36.84/37.00 tff(842,plain,
% 36.84/37.00 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2)))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[841, 840])).
% 36.84/37.00 tff(843,plain,
% 36.84/37.00 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[842, 838])).
% 36.84/37.00 tff(844,plain,
% 36.84/37.00 ((~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))),
% 36.84/37.00 inference(tautology,[status(thm)],[])).
% 36.84/37.00 tff(845,plain,
% 36.84/37.00 ((~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[844, 833])).
% 36.84/37.00 tff(846,plain,
% 36.84/37.00 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[845, 843])).
% 36.84/37.00 tff(847,plain,
% 36.84/37.00 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2)))),
% 36.84/37.00 inference(tautology,[status(thm)],[])).
% 36.84/37.00 tff(848,plain,
% 36.84/37.00 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[847, 846])).
% 36.84/37.00 tff(849,plain,
% 36.84/37.00 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))))),
% 36.84/37.00 inference(tautology,[status(thm)],[])).
% 36.84/37.00 tff(850,plain,
% 36.84/37.00 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[849, 848, 836])).
% 36.84/37.00 tff(851,plain,
% 36.84/37.00 ($false),
% 36.84/37.00 inference(unit_resolution,[status(thm)],[850, 834])).
% 36.84/37.00 tff(852,plain,((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.00 tff(853,plain,
% 36.84/37.00 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))),
% 36.84/37.00 inference(tautology,[status(thm)],[])).
% 36.84/37.00 tff(854,plain,
% 36.84/37.00 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[853, 852])).
% 36.84/37.01 tff(855,plain,
% 36.84/37.01 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[854, 827])).
% 36.84/37.01 tff(856,assumption,(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))), introduced(assumption)).
% 36.84/37.01 tff(857,plain,
% 36.84/37.01 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))),
% 36.84/37.01 inference(quant_inst,[status(thm)],[])).
% 36.84/37.01 tff(858,plain,
% 36.84/37.01 ($false),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[857, 50, 856])).
% 36.84/37.01 tff(859,plain,(~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.01 tff(860,plain,
% 36.84/37.01 (union(D!2, union(difference(C!3, D!2), C!3)) = union(D!2, C!3)),
% 36.84/37.01 inference(monotonicity,[status(thm)],[126])).
% 36.84/37.01 tff(861,plain,
% 36.84/37.01 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))),
% 36.84/37.01 inference(monotonicity,[status(thm)],[860])).
% 36.84/37.01 tff(862,plain,
% 36.84/37.01 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3)))),
% 36.84/37.01 inference(symmetry,[status(thm)],[861])).
% 36.84/37.01 tff(863,plain,
% 36.84/37.01 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3))))),
% 36.84/37.01 inference(monotonicity,[status(thm)],[862])).
% 36.84/37.01 tff(864,assumption,(~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3)))), introduced(assumption)).
% 36.84/37.01 tff(865,plain,
% 36.84/37.01 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3)))),
% 36.84/37.01 inference(tautology,[status(thm)],[])).
% 36.84/37.01 tff(866,plain,
% 36.84/37.01 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[865, 864])).
% 36.84/37.01 tff(867,plain,
% 36.84/37.01 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3)))),
% 36.84/37.01 inference(modus_ponens,[status(thm)],[866, 863])).
% 36.84/37.01 tff(868,plain,
% 36.84/37.01 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2)))),
% 36.84/37.01 inference(quant_inst,[status(thm)],[])).
% 36.84/37.01 tff(869,plain,
% 36.84/37.01 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2))),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[868, 105])).
% 36.84/37.01 tff(870,plain,
% 36.84/37.01 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.84/37.01 inference(tautology,[status(thm)],[])).
% 36.84/37.01 tff(871,plain,
% 36.84/37.01 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[870, 864])).
% 36.84/37.01 tff(872,plain,
% 36.84/37.01 (((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2))) <=> ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2))),
% 36.84/37.01 inference(rewrite,[status(thm)],[])).
% 36.84/37.01 tff(873,plain,
% 36.84/37.01 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2))),
% 36.84/37.01 inference(quant_inst,[status(thm)],[])).
% 36.84/37.01 tff(874,plain,
% 36.84/37.01 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2)),
% 36.84/37.01 inference(modus_ponens,[status(thm)],[873, 872])).
% 36.84/37.01 tff(875,plain,
% 36.84/37.01 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2)),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[874, 566, 871])).
% 36.84/37.01 tff(876,plain,
% 36.84/37.01 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2)) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2))),
% 36.84/37.01 inference(tautology,[status(thm)],[])).
% 36.84/37.01 tff(877,plain,
% 36.84/37.01 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2)),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[876, 875])).
% 36.84/37.01 tff(878,plain,
% 36.84/37.01 ((~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), D!2)))),
% 36.84/37.01 inference(tautology,[status(thm)],[])).
% 36.84/37.01 tff(879,plain,
% 36.84/37.01 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, union(difference(C!3, D!2), C!3)))),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[878, 877, 869])).
% 36.84/37.01 tff(880,plain,
% 36.84/37.01 ($false),
% 36.84/37.01 inference(unit_resolution,[status(thm)],[879, 867])).
% 36.84/37.01 tff(881,plain,((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.01 tff(882,plain,
% 36.84/37.01 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))))),
% 36.84/37.02 inference(tautology,[status(thm)],[])).
% 36.84/37.02 tff(883,plain,
% 36.84/37.02 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))))),
% 36.84/37.02 inference(unit_resolution,[status(thm)],[882, 881])).
% 36.84/37.02 tff(884,plain,
% 36.84/37.02 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))),
% 36.84/37.02 inference(unit_resolution,[status(thm)],[883, 859])).
% 36.84/37.02 tff(885,plain,
% 36.84/37.02 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.84/37.02 inference(tautology,[status(thm)],[])).
% 36.84/37.02 tff(886,plain,
% 36.84/37.02 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.84/37.02 inference(unit_resolution,[status(thm)],[885, 884])).
% 36.84/37.02 tff(887,plain,
% 36.84/37.02 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.84/37.02 inference(unit_resolution,[status(thm)],[886, 855])).
% 36.84/37.02 tff(888,plain,
% 36.84/37.02 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))))))),
% 36.84/37.02 inference(quant_inst,[status(thm)],[])).
% 36.84/37.02 tff(889,plain,
% 36.84/37.02 (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))))))),
% 36.84/37.02 inference(unit_resolution,[status(thm)],[888, 28])).
% 36.84/37.02 tff(890,plain,
% 36.84/37.02 (((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))))) | ((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))))),
% 36.84/37.02 inference(tautology,[status(thm)],[])).
% 36.84/37.02 tff(891,plain,
% 36.84/37.02 ((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))),
% 36.84/37.02 inference(unit_resolution,[status(thm)],[890, 889])).
% 36.84/37.02 tff(892,plain,
% 36.84/37.02 ((~((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))))))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))),
% 36.84/37.02 inference(tautology,[status(thm)],[])).
% 36.84/37.02 tff(893,plain,
% 36.84/37.02 ((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))))),
% 36.84/37.02 inference(unit_resolution,[status(thm)],[892, 891])).
% 36.84/37.02 tff(894,plain,
% 36.84/37.02 (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))),
% 36.84/37.02 inference(unit_resolution,[status(thm)],[893, 887])).
% 36.84/37.02 tff(895,assumption,(~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))))), introduced(assumption)).
% 36.84/37.02 tff(896,plain,
% 36.84/37.02 (tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) = tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.02 inference(monotonicity,[status(thm)],[894])).
% 36.84/37.02 tff(897,plain,
% 36.84/37.02 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.84/37.02 inference(monotonicity,[status(thm)],[896, 894])).
% 36.84/37.02 tff(898,plain,
% 36.84/37.02 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))),
% 36.84/37.02 inference(symmetry,[status(thm)],[897])).
% 36.84/37.02 tff(899,plain,
% 36.84/37.02 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))))),
% 36.84/37.02 inference(monotonicity,[status(thm)],[785])).
% 36.84/37.02 tff(900,plain,
% 36.84/37.02 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))),
% 36.84/37.02 inference(transitivity,[status(thm)],[899, 898])).
% 36.84/37.02 tff(901,plain,
% 36.84/37.02 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))))),
% 36.84/37.03 inference(monotonicity,[status(thm)],[900])).
% 36.84/37.03 tff(902,plain,
% 36.84/37.03 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.84/37.03 inference(rewrite,[status(thm)],[])).
% 36.84/37.03 tff(903,plain,
% 36.84/37.03 ((~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.84/37.03 inference(rewrite,[status(thm)],[])).
% 36.84/37.03 tff(904,plain,
% 36.84/37.03 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.84/37.03 inference(monotonicity,[status(thm)],[903])).
% 36.84/37.03 tff(905,plain,
% 36.84/37.03 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.84/37.03 inference(transitivity,[status(thm)],[904, 902])).
% 36.84/37.03 tff(906,plain,
% 36.84/37.03 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.84/37.03 inference(quant_inst,[status(thm)],[])).
% 36.84/37.03 tff(907,plain,
% 36.84/37.03 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.84/37.03 inference(modus_ponens,[status(thm)],[906, 905])).
% 36.84/37.03 tff(908,plain,
% 36.84/37.03 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.84/37.03 inference(unit_resolution,[status(thm)],[907, 50])).
% 36.84/37.03 tff(909,plain,
% 36.84/37.03 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))),
% 36.84/37.03 inference(modus_ponens,[status(thm)],[908, 901])).
% 36.84/37.03 tff(910,plain,
% 36.84/37.03 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.03 inference(monotonicity,[status(thm)],[896])).
% 36.84/37.03 tff(911,plain,
% 36.84/37.03 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.03 inference(symmetry,[status(thm)],[910])).
% 36.84/37.03 tff(912,assumption,(((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.84/37.03 tff(913,plain,
% 36.84/37.03 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.03 inference(quant_inst,[status(thm)],[])).
% 36.84/37.03 tff(914,plain,
% 36.84/37.03 ($false),
% 36.84/37.03 inference(unit_resolution,[status(thm)],[913, 50, 912])).
% 36.84/37.03 tff(915,plain,(~(((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.03 tff(916,plain,
% 36.84/37.03 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))),
% 36.84/37.03 inference(monotonicity,[status(thm)],[402])).
% 36.84/37.03 tff(917,plain,
% 36.84/37.03 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3)),
% 36.84/37.03 inference(symmetry,[status(thm)],[916])).
% 36.84/37.03 tff(918,plain,
% 36.84/37.03 ((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3))),
% 36.84/37.03 inference(monotonicity,[status(thm)],[917])).
% 36.84/37.03 tff(919,assumption,(~((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.84/37.03 tff(920,plain,
% 36.84/37.03 (((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3)))),
% 36.84/37.03 inference(tautology,[status(thm)],[])).
% 36.84/37.03 tff(921,plain,
% 36.84/37.03 (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))),
% 36.84/37.03 inference(unit_resolution,[status(thm)],[920, 919])).
% 36.84/37.03 tff(922,plain,
% 36.84/37.03 (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3)),
% 36.84/37.03 inference(modus_ponens,[status(thm)],[921, 918])).
% 36.84/37.03 tff(923,plain,
% 36.84/37.03 (((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))),
% 36.84/37.03 inference(tautology,[status(thm)],[])).
% 36.84/37.03 tff(924,plain,
% 36.84/37.03 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))),
% 36.84/37.03 inference(unit_resolution,[status(thm)],[923, 919])).
% 36.84/37.03 tff(925,plain,
% 36.84/37.03 (((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3))) <=> ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3))),
% 36.84/37.03 inference(rewrite,[status(thm)],[])).
% 36.84/37.03 tff(926,plain,
% 36.84/37.03 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3))),
% 36.84/37.03 inference(quant_inst,[status(thm)],[])).
% 36.84/37.03 tff(927,plain,
% 36.84/37.03 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3)),
% 36.84/37.03 inference(modus_ponens,[status(thm)],[926, 925])).
% 36.84/37.03 tff(928,plain,
% 36.84/37.03 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), C!3)),
% 36.84/37.03 inference(unit_resolution,[status(thm)],[927, 87, 924])).
% 36.84/37.03 tff(929,plain,
% 36.84/37.03 ($false),
% 36.84/37.03 inference(unit_resolution,[status(thm)],[928, 922])).
% 36.84/37.03 tff(930,plain,((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.03 tff(931,plain,
% 36.84/37.03 ((((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.03 inference(tautology,[status(thm)],[])).
% 36.84/37.03 tff(932,plain,
% 36.84/37.03 ((((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.03 inference(unit_resolution,[status(thm)],[931, 930])).
% 36.84/37.03 tff(933,plain,
% 36.84/37.03 (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.03 inference(unit_resolution,[status(thm)],[932, 915])).
% 36.84/37.03 tff(934,assumption,(~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))), introduced(assumption)).
% 36.84/37.03 tff(935,assumption,(~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.84/37.04 tff(936,assumption,(~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.84/37.04 tff(937,plain,
% 36.84/37.04 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.04 inference(rewrite,[status(thm)],[])).
% 36.84/37.04 tff(938,plain,
% 36.84/37.04 ((member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) <=> (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.04 inference(rewrite,[status(thm)],[])).
% 36.84/37.04 tff(939,plain,
% 36.84/37.04 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.04 inference(monotonicity,[status(thm)],[938])).
% 36.84/37.04 tff(940,plain,
% 36.84/37.04 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.04 inference(transitivity,[status(thm)],[939, 937])).
% 36.84/37.04 tff(941,plain,
% 36.84/37.04 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.04 inference(quant_inst,[status(thm)],[])).
% 36.84/37.04 tff(942,plain,
% 36.84/37.04 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.04 inference(modus_ponens,[status(thm)],[941, 940])).
% 36.84/37.04 tff(943,plain,
% 36.84/37.04 ($false),
% 36.84/37.04 inference(unit_resolution,[status(thm)],[942, 105, 936])).
% 36.84/37.04 tff(944,plain,(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.04 tff(945,plain,
% 36.84/37.04 ((~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.04 inference(tautology,[status(thm)],[])).
% 36.84/37.04 tff(946,plain,
% 36.84/37.04 (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.04 inference(unit_resolution,[status(thm)],[945, 944])).
% 36.84/37.04 tff(947,plain,
% 36.84/37.04 (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.04 inference(unit_resolution,[status(thm)],[946, 935])).
% 36.84/37.04 tff(948,plain,
% 36.84/37.04 ((member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.04 inference(tautology,[status(thm)],[])).
% 36.84/37.04 tff(949,plain,
% 36.84/37.04 ($false),
% 36.84/37.04 inference(unit_resolution,[status(thm)],[948, 947, 935, 934])).
% 36.84/37.04 tff(950,plain,(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.04 tff(951,plain,
% 36.84/37.04 (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.04 inference(unit_resolution,[status(thm)],[950, 934])).
% 36.84/37.04 tff(952,plain,
% 36.84/37.04 ((member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.05 inference(tautology,[status(thm)],[])).
% 36.84/37.05 tff(953,plain,
% 36.84/37.05 (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.05 inference(unit_resolution,[status(thm)],[952, 951, 934])).
% 36.84/37.05 tff(954,plain,
% 36.84/37.05 ((~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.05 inference(tautology,[status(thm)],[])).
% 36.84/37.05 tff(955,plain,
% 36.84/37.05 ((~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.05 inference(unit_resolution,[status(thm)],[954, 944])).
% 36.84/37.05 tff(956,plain,
% 36.84/37.05 ($false),
% 36.84/37.05 inference(unit_resolution,[status(thm)],[955, 953, 951])).
% 36.84/37.05 tff(957,plain,(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.05 tff(958,plain,
% 36.84/37.05 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))) | (~((difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))))))),
% 36.84/37.05 inference(quant_inst,[status(thm)],[])).
% 36.84/37.05 tff(959,plain,
% 36.84/37.05 (~((~((~(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))) | (~((difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))))),
% 36.84/37.05 inference(unit_resolution,[status(thm)],[958, 28])).
% 36.84/37.05 tff(960,plain,
% 36.84/37.05 (((~((~(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))) | (~((difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))))) | ((difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))),
% 36.84/37.05 inference(tautology,[status(thm)],[])).
% 36.84/37.05 tff(961,plain,
% 36.84/37.05 ((difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))),
% 36.84/37.05 inference(unit_resolution,[status(thm)],[960, 959])).
% 36.84/37.05 tff(962,plain,
% 36.84/37.05 ((~((difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))) | (difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))),
% 36.84/37.05 inference(tautology,[status(thm)],[])).
% 36.84/37.05 tff(963,plain,
% 36.84/37.05 ((difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))),
% 36.84/37.05 inference(unit_resolution,[status(thm)],[962, 961])).
% 36.84/37.05 tff(964,plain,
% 36.84/37.05 (difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.05 inference(unit_resolution,[status(thm)],[963, 957])).
% 36.84/37.05 tff(965,plain,
% 36.84/37.05 (difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))),
% 36.84/37.05 inference(monotonicity,[status(thm)],[738])).
% 36.84/37.05 tff(966,plain,
% 36.84/37.05 (difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.05 inference(transitivity,[status(thm)],[965, 964])).
% 36.84/37.05 tff(967,plain,
% 36.84/37.05 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.05 inference(monotonicity,[status(thm)],[966])).
% 36.84/37.05 tff(968,plain,
% 36.84/37.05 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.05 inference(symmetry,[status(thm)],[967])).
% 36.84/37.05 tff(969,assumption,(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.84/37.05 tff(970,plain,
% 36.84/37.05 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.05 inference(modus_ponens,[status(thm)],[969, 968])).
% 36.84/37.05 tff(971,assumption,(~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.84/37.05 tff(972,plain,
% 36.84/37.05 ($false),
% 36.84/37.05 inference(unit_resolution,[status(thm)],[971, 970])).
% 36.84/37.05 tff(973,plain,(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(C!3, D!2), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.06 tff(974,plain,
% 36.84/37.06 (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.06 inference(unit_resolution,[status(thm)],[973, 933])).
% 36.84/37.06 tff(975,assumption,(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.84/37.06 tff(976,plain,
% 36.84/37.06 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.06 inference(rewrite,[status(thm)],[])).
% 36.84/37.06 tff(977,plain,
% 36.84/37.06 ((~(((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.84/37.06 inference(rewrite,[status(thm)],[])).
% 36.84/37.06 tff(978,plain,
% 36.84/37.06 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.06 inference(monotonicity,[status(thm)],[977])).
% 36.84/37.06 tff(979,plain,
% 36.84/37.06 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.06 inference(transitivity,[status(thm)],[978, 976])).
% 36.84/37.06 tff(980,plain,
% 36.84/37.06 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.84/37.06 inference(quant_inst,[status(thm)],[])).
% 36.84/37.06 tff(981,plain,
% 36.84/37.06 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.84/37.06 inference(modus_ponens,[status(thm)],[980, 979])).
% 36.84/37.06 tff(982,plain,
% 36.84/37.06 ($false),
% 36.84/37.06 inference(unit_resolution,[status(thm)],[981, 50, 975])).
% 36.84/37.06 tff(983,plain,(~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.06 tff(984,plain,
% 36.84/37.06 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))),
% 36.84/37.06 inference(monotonicity,[status(thm)],[150])).
% 36.84/37.06 tff(985,plain,
% 36.84/37.06 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.84/37.06 inference(symmetry,[status(thm)],[984])).
% 36.84/37.06 tff(986,assumption,(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))), introduced(assumption)).
% 36.84/37.06 tff(987,plain,
% 36.84/37.06 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.84/37.06 inference(modus_ponens,[status(thm)],[986, 985])).
% 36.84/37.06 tff(988,assumption,(~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.84/37.06 tff(989,plain,
% 36.84/37.06 ($false),
% 36.84/37.06 inference(unit_resolution,[status(thm)],[988, 987])).
% 36.84/37.06 tff(990,plain,(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.06 tff(991,plain,
% 36.84/37.06 (~member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))),
% 36.84/37.06 inference(unit_resolution,[status(thm)],[990, 983])).
% 36.84/37.06 tff(992,plain,
% 36.84/37.06 ((member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))),
% 36.84/37.06 inference(tautology,[status(thm)],[])).
% 36.84/37.06 tff(993,plain,
% 36.84/37.06 ((member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))) | member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.84/37.06 inference(unit_resolution,[status(thm)],[992, 991])).
% 36.84/37.06 tff(994,plain,
% 36.84/37.06 (member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))),
% 36.84/37.06 inference(unit_resolution,[status(thm)],[993, 974])).
% 36.84/37.06 tff(995,plain,
% 36.84/37.06 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(C!3, C!3))))) | (~((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))))))),
% 36.84/37.06 inference(quant_inst,[status(thm)],[])).
% 36.84/37.06 tff(996,plain,
% 36.84/37.06 (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(C!3, C!3))))) | (~((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))))))),
% 36.84/37.06 inference(unit_resolution,[status(thm)],[995, 28])).
% 36.84/37.06 tff(997,plain,
% 36.84/37.06 (((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(C!3, C!3))))) | (~((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))))) | ((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))))),
% 36.84/37.06 inference(tautology,[status(thm)],[])).
% 36.84/37.06 tff(998,plain,
% 36.84/37.06 ((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))),
% 36.84/37.07 inference(unit_resolution,[status(thm)],[997, 996])).
% 36.84/37.07 tff(999,plain,
% 36.84/37.07 ((~((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3)))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))),
% 36.84/37.07 inference(tautology,[status(thm)],[])).
% 36.84/37.07 tff(1000,plain,
% 36.84/37.07 ((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)) | (~(member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(C!3, C!3))))),
% 36.84/37.07 inference(unit_resolution,[status(thm)],[999, 998])).
% 36.84/37.07 tff(1001,plain,
% 36.84/37.07 (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(C!3, C!3)),
% 36.84/37.07 inference(unit_resolution,[status(thm)],[1000, 994])).
% 36.84/37.07 tff(1002,plain,
% 36.84/37.07 (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))),
% 36.84/37.07 inference(monotonicity,[status(thm)],[173])).
% 36.84/37.07 tff(1003,plain,
% 36.84/37.07 (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)))),
% 36.84/37.07 inference(monotonicity,[status(thm)],[1002])).
% 36.84/37.07 tff(1004,plain,
% 36.84/37.07 (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))),
% 36.84/37.07 inference(symmetry,[status(thm)],[1003])).
% 36.84/37.07 tff(1005,assumption,(~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.84/37.07 tff(1006,assumption,(~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)))), introduced(assumption)).
% 36.84/37.07 tff(1007,plain,
% 36.84/37.07 ((member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.07 inference(tautology,[status(thm)],[])).
% 36.84/37.07 tff(1008,plain,
% 36.84/37.07 (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.84/37.07 inference(unit_resolution,[status(thm)],[1007, 1006, 1005])).
% 36.84/37.07 tff(1009,plain,
% 36.84/37.07 ((~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)))) <=> (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))))),
% 36.84/37.07 inference(monotonicity,[status(thm)],[1004])).
% 36.84/37.07 tff(1010,plain,
% 36.84/37.07 (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))),
% 36.84/37.07 inference(modus_ponens,[status(thm)],[1006, 1009])).
% 36.84/37.07 tff(1011,assumption,(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))), introduced(assumption)).
% 36.84/37.07 tff(1012,plain,
% 36.84/37.07 ($false),
% 36.84/37.07 inference(unit_resolution,[status(thm)],[1011, 1010])).
% 36.84/37.07 tff(1013,plain,((~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)))), inference(lemma,lemma(discharge,[]))).
% 36.84/37.07 tff(1014,plain,
% 36.84/37.07 (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))),
% 36.84/37.07 inference(unit_resolution,[status(thm)],[1013, 1006])).
% 36.84/37.07 tff(1015,assumption,(~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))) <=> (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))), introduced(assumption)).
% 36.84/37.07 tff(1016,plain,
% 36.84/37.07 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))) <=> (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))),
% 36.92/37.07 inference(quant_inst,[status(thm)],[])).
% 36.92/37.07 tff(1017,plain,
% 36.92/37.07 ($false),
% 36.92/37.07 inference(unit_resolution,[status(thm)],[1016, 105, 1015])).
% 36.92/37.07 tff(1018,plain,(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))) <=> (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.92/37.07 tff(1019,plain,
% 36.92/37.07 ((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))) <=> (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))) | (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))),
% 36.92/37.07 inference(tautology,[status(thm)],[])).
% 36.92/37.07 tff(1020,plain,
% 36.92/37.07 (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))) | (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))),
% 36.92/37.07 inference(unit_resolution,[status(thm)],[1019, 1018])).
% 36.92/37.07 tff(1021,plain,
% 36.92/37.07 (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.07 inference(unit_resolution,[status(thm)],[1020, 1014])).
% 36.92/37.07 tff(1022,plain,
% 36.92/37.07 ((member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.07 inference(tautology,[status(thm)],[])).
% 36.92/37.07 tff(1023,plain,
% 36.92/37.07 ($false),
% 36.92/37.07 inference(unit_resolution,[status(thm)],[1022, 1021, 1008])).
% 36.92/37.07 tff(1024,plain,(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) | (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.92/37.07 tff(1025,plain,
% 36.92/37.07 (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)))),
% 36.92/37.07 inference(unit_resolution,[status(thm)],[1024, 1005])).
% 36.92/37.07 tff(1026,plain,
% 36.92/37.07 (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))),
% 36.92/37.07 inference(modus_ponens,[status(thm)],[1025, 1004])).
% 36.92/37.07 tff(1027,assumption,(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.92/37.08 tff(1028,plain,
% 36.92/37.08 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.92/37.08 inference(rewrite,[status(thm)],[])).
% 36.92/37.08 tff(1029,plain,
% 36.92/37.08 ((~(((~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))) <=> (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.92/37.08 inference(rewrite,[status(thm)],[])).
% 36.92/37.08 tff(1030,plain,
% 36.92/37.08 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.92/37.08 inference(monotonicity,[status(thm)],[1029])).
% 36.92/37.08 tff(1031,plain,
% 36.92/37.08 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.92/37.08 inference(transitivity,[status(thm)],[1030, 1028])).
% 36.92/37.08 tff(1032,plain,
% 36.92/37.08 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))))),
% 36.92/37.08 inference(quant_inst,[status(thm)],[])).
% 36.92/37.08 tff(1033,plain,
% 36.92/37.08 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))))),
% 36.92/37.08 inference(modus_ponens,[status(thm)],[1032, 1031])).
% 36.92/37.08 tff(1034,plain,
% 36.92/37.08 ($false),
% 36.92/37.08 inference(unit_resolution,[status(thm)],[1033, 50, 1027])).
% 36.92/37.08 tff(1035,plain,(~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.92/37.08 tff(1036,plain,
% 36.92/37.08 (tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) = tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)))),
% 36.92/37.08 inference(monotonicity,[status(thm)],[964])).
% 36.92/37.08 tff(1037,plain,
% 36.92/37.08 (tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) = tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)))),
% 36.92/37.08 inference(symmetry,[status(thm)],[1036])).
% 36.92/37.08 tff(1038,plain,
% 36.92/37.08 (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3))),
% 36.92/37.08 inference(monotonicity,[status(thm)],[1037, 150])).
% 36.92/37.08 tff(1039,plain,
% 36.92/37.08 (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) <=> member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.92/37.08 inference(symmetry,[status(thm)],[1038])).
% 36.92/37.08 tff(1040,assumption,(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3))), introduced(assumption)).
% 36.92/37.08 tff(1041,plain,
% 36.92/37.08 (member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))),
% 36.92/37.08 inference(modus_ponens,[status(thm)],[1040, 1039])).
% 36.92/37.08 tff(1042,assumption,(~member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.92/37.08 tff(1043,plain,
% 36.92/37.08 ($false),
% 36.92/37.08 inference(unit_resolution,[status(thm)],[1042, 1041])).
% 36.92/37.08 tff(1044,plain,(member(tptp_fun_D_0(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(union(difference(C!3, D!2), C!3), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.92/37.08 tff(1045,plain,
% 36.92/37.08 (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3))),
% 36.92/37.08 inference(unit_resolution,[status(thm)],[1044, 1035])).
% 36.92/37.08 tff(1046,plain,
% 36.92/37.08 ((member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)))) | (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.08 inference(tautology,[status(thm)],[])).
% 36.92/37.08 tff(1047,plain,
% 36.92/37.08 (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.08 inference(unit_resolution,[status(thm)],[1046, 1025, 1005])).
% 36.92/37.08 tff(1048,plain,
% 36.92/37.08 ((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.08 inference(tautology,[status(thm)],[])).
% 36.92/37.08 tff(1049,plain,
% 36.92/37.08 (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.08 inference(unit_resolution,[status(thm)],[1048, 1047, 1045])).
% 36.92/37.08 tff(1050,plain,
% 36.92/37.08 ((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3))) <=> (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))) | (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.08 inference(tautology,[status(thm)],[])).
% 36.92/37.08 tff(1051,plain,
% 36.92/37.08 ((~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))) | (member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(C!3, C!3)) | member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.08 inference(unit_resolution,[status(thm)],[1050, 1018])).
% 36.92/37.08 tff(1052,plain,
% 36.92/37.08 (~member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(C!3, C!3)))),
% 36.92/37.08 inference(unit_resolution,[status(thm)],[1051, 1049])).
% 36.92/37.08 tff(1053,plain,
% 36.92/37.08 ($false),
% 36.92/37.08 inference(unit_resolution,[status(thm)],[1052, 1026])).
% 36.92/37.08 tff(1054,plain,(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.92/37.08 tff(1055,plain,
% 36.92/37.08 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))))),
% 36.92/37.08 inference(rewrite,[status(thm)],[])).
% 36.92/37.08 tff(1056,plain,
% 36.92/37.08 ((~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))))) <=> (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))),
% 36.92/37.09 inference(rewrite,[status(thm)],[])).
% 36.92/37.09 tff(1057,plain,
% 36.92/37.09 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))))),
% 36.92/37.09 inference(monotonicity,[status(thm)],[1056])).
% 36.92/37.09 tff(1058,plain,
% 36.92/37.09 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))))),
% 36.92/37.09 inference(transitivity,[status(thm)],[1057, 1055])).
% 36.92/37.09 tff(1059,plain,
% 36.92/37.09 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))))),
% 36.92/37.09 inference(quant_inst,[status(thm)],[])).
% 36.92/37.09 tff(1060,plain,
% 36.92/37.09 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))))),
% 36.92/37.09 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 36.92/37.09 tff(1061,plain,
% 36.92/37.09 (~((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))))),
% 36.92/37.09 inference(unit_resolution,[status(thm)],[1060, 28])).
% 36.92/37.09 tff(1062,plain,
% 36.92/37.09 (((~((~(union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | (~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))) | ((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.09 inference(tautology,[status(thm)],[])).
% 36.92/37.09 tff(1063,plain,
% 36.92/37.09 ((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.09 inference(unit_resolution,[status(thm)],[1062, 1061])).
% 36.92/37.09 tff(1064,plain,
% 36.92/37.09 ((~((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.09 inference(tautology,[status(thm)],[])).
% 36.92/37.09 tff(1065,plain,
% 36.92/37.09 ((~(member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))) <=> member(tptp_fun_D_0(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.09 inference(unit_resolution,[status(thm)],[1064, 1063])).
% 36.92/37.09 tff(1066,plain,
% 36.92/37.09 (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))),
% 36.92/37.09 inference(unit_resolution,[status(thm)],[1065, 1054])).
% 36.92/37.09 tff(1067,plain,
% 36.92/37.09 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.09 inference(quant_inst,[status(thm)],[])).
% 36.92/37.09 tff(1068,plain,
% 36.92/37.09 (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.10 inference(unit_resolution,[status(thm)],[1067, 505])).
% 36.92/37.10 tff(1069,plain,
% 36.92/37.10 (union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))),
% 36.92/37.10 inference(symmetry,[status(thm)],[1068])).
% 36.92/37.10 tff(1070,plain,
% 36.92/37.10 (union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(D!2, D!2)),
% 36.92/37.10 inference(transitivity,[status(thm)],[1069, 1066, 964, 1001, 173])).
% 36.92/37.10 tff(1071,plain,
% 36.92/37.10 (difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))),
% 36.92/37.10 inference(monotonicity,[status(thm)],[1070])).
% 36.92/37.10 tff(1072,plain,
% 36.92/37.10 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.10 inference(monotonicity,[status(thm)],[1071])).
% 36.92/37.10 tff(1073,plain,
% 36.92/37.10 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.10 inference(transitivity,[status(thm)],[1072, 911])).
% 36.92/37.10 tff(1074,plain,
% 36.92/37.10 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.10 inference(monotonicity,[status(thm)],[1073])).
% 36.92/37.10 tff(1075,plain,
% 36.92/37.10 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))))),
% 36.92/37.10 inference(quant_inst,[status(thm)],[])).
% 36.92/37.10 tff(1076,plain,
% 36.92/37.10 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))),
% 36.92/37.10 inference(unit_resolution,[status(thm)],[1075, 50])).
% 36.92/37.10 tff(1077,plain,
% 36.92/37.10 (difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(D!2, D!2))),
% 36.92/37.10 inference(symmetry,[status(thm)],[1066])).
% 36.92/37.10 tff(1078,plain,
% 36.92/37.10 (union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))),
% 36.92/37.10 inference(symmetry,[status(thm)],[964])).
% 36.92/37.10 tff(1079,plain,
% 36.92/37.10 (difference(C!3, C!3) = union(difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.10 inference(symmetry,[status(thm)],[1001])).
% 36.92/37.10 tff(1080,plain,
% 36.92/37.10 (difference(D!2, D!2) = union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))),
% 36.92/37.10 inference(transitivity,[status(thm)],[172, 1079, 1078, 1077, 1068])).
% 36.92/37.10 tff(1081,plain,
% 36.92/37.10 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.10 inference(monotonicity,[status(thm)],[1080])).
% 36.92/37.10 tff(1082,plain,
% 36.92/37.10 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))),
% 36.92/37.10 inference(symmetry,[status(thm)],[1081])).
% 36.92/37.10 tff(1083,assumption,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.92/37.10 tff(1084,plain,
% 36.92/37.10 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))),
% 36.92/37.10 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 36.92/37.10 tff(1085,plain,
% 36.92/37.10 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2)))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))))),
% 36.92/37.10 inference(rewrite,[status(thm)],[])).
% 36.92/37.10 tff(1086,plain,
% 36.92/37.10 ((~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2)))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2)))),
% 36.92/37.10 inference(rewrite,[status(thm)],[])).
% 36.92/37.10 tff(1087,plain,
% 36.92/37.10 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))))),
% 36.92/37.10 inference(monotonicity,[status(thm)],[1086])).
% 36.92/37.10 tff(1088,plain,
% 36.92/37.10 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))))),
% 36.92/37.10 inference(transitivity,[status(thm)],[1087, 1085])).
% 36.92/37.10 tff(1089,plain,
% 36.92/37.10 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), D!2)) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))))),
% 36.92/37.10 inference(quant_inst,[status(thm)],[])).
% 36.92/37.10 tff(1090,plain,
% 36.92/37.10 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2)))),
% 36.92/37.10 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 36.92/37.10 tff(1091,plain,
% 36.92/37.10 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(D!2, D!2))),
% 36.92/37.10 inference(unit_resolution,[status(thm)],[1090, 50])).
% 36.92/37.10 tff(1092,plain,
% 36.92/37.10 ($false),
% 36.92/37.10 inference(unit_resolution,[status(thm)],[1091, 1084])).
% 36.92/37.10 tff(1093,plain,(~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.92/37.10 tff(1094,plain,
% 36.92/37.10 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.92/37.10 inference(tautology,[status(thm)],[])).
% 36.95/37.10 tff(1095,plain,
% 36.95/37.10 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.95/37.10 inference(unit_resolution,[status(thm)],[1094, 1093])).
% 36.95/37.10 tff(1096,plain,
% 36.95/37.10 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))),
% 36.95/37.10 inference(tautology,[status(thm)],[])).
% 36.95/37.10 tff(1097,plain,
% 36.95/37.10 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1096, 1095])).
% 36.95/37.11 tff(1098,plain,
% 36.95/37.11 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1097, 1076])).
% 36.95/37.11 tff(1099,plain,
% 36.95/37.11 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.95/37.11 inference(modus_ponens,[status(thm)],[1098, 1074])).
% 36.95/37.11 tff(1100,plain,
% 36.95/37.11 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))),
% 36.95/37.11 inference(tautology,[status(thm)],[])).
% 36.95/37.11 tff(1101,plain,
% 36.95/37.11 ($false),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1100, 1099, 909, 895])).
% 36.95/37.11 tff(1102,plain,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.95/37.11 tff(1103,plain,
% 36.95/37.11 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))) | (~((difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))))))),
% 36.95/37.11 inference(quant_inst,[status(thm)],[])).
% 36.95/37.11 tff(1104,plain,
% 36.95/37.11 (~((~((~(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))) | (~((difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))))))))),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1103, 28])).
% 36.95/37.11 tff(1105,plain,
% 36.95/37.11 (((~((~(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))) | (~((difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))))) | ((difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))))))),
% 36.95/37.11 inference(tautology,[status(thm)],[])).
% 36.95/37.11 tff(1106,plain,
% 36.95/37.11 ((difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1105, 1104])).
% 36.95/37.11 tff(1107,plain,
% 36.95/37.11 ((~((difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))))))) | (difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))),
% 36.95/37.11 inference(tautology,[status(thm)],[])).
% 36.95/37.11 tff(1108,plain,
% 36.95/37.11 ((difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3)))))),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1107, 1106])).
% 36.95/37.11 tff(1109,plain,
% 36.95/37.11 (difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(D!2, C!3))),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1108, 1102])).
% 36.95/37.11 tff(1110,assumption,(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))), introduced(assumption)).
% 36.95/37.11 tff(1111,plain,
% 36.95/37.11 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2)))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))))),
% 36.95/37.11 inference(rewrite,[status(thm)],[])).
% 36.95/37.11 tff(1112,plain,
% 36.95/37.11 ((~(((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), D!2)) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2)))) <=> (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2)))),
% 36.95/37.11 inference(rewrite,[status(thm)],[])).
% 36.95/37.11 tff(1113,plain,
% 36.95/37.11 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), D!2)) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))))),
% 36.95/37.11 inference(monotonicity,[status(thm)],[1112])).
% 36.95/37.11 tff(1114,plain,
% 36.95/37.11 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), D!2)) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))))),
% 36.95/37.11 inference(transitivity,[status(thm)],[1113, 1111])).
% 36.95/37.11 tff(1115,plain,
% 36.95/37.11 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), D!2)) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))))),
% 36.95/37.11 inference(quant_inst,[status(thm)],[])).
% 36.95/37.11 tff(1116,plain,
% 36.95/37.11 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2)))),
% 36.95/37.11 inference(modus_ponens,[status(thm)],[1115, 1114])).
% 36.95/37.11 tff(1117,plain,
% 36.95/37.11 ($false),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1116, 50, 1110])).
% 36.95/37.11 tff(1118,plain,(~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))), inference(lemma,lemma(discharge,[]))).
% 36.95/37.11 tff(1119,plain,
% 36.95/37.11 (member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2)) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.95/37.11 inference(monotonicity,[status(thm)],[1080])).
% 36.95/37.11 tff(1120,plain,
% 36.95/37.11 (member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))),
% 36.95/37.11 inference(symmetry,[status(thm)],[1119])).
% 36.95/37.11 tff(1121,assumption,(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.95/37.11 tff(1122,plain,
% 36.95/37.11 (member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))),
% 36.95/37.11 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 36.95/37.11 tff(1123,assumption,(~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2))), introduced(assumption)).
% 36.95/37.11 tff(1124,plain,
% 36.95/37.11 ($false),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1123, 1122])).
% 36.95/37.11 tff(1125,plain,(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(D!2, D!2)) | (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))))), inference(lemma,lemma(discharge,[]))).
% 36.95/37.11 tff(1126,plain,
% 36.95/37.11 (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.95/37.11 inference(unit_resolution,[status(thm)],[1125, 1118])).
% 36.95/37.11 tff(1127,plain,
% 36.95/37.11 (member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.95/37.11 inference(monotonicity,[status(thm)],[1071])).
% 36.95/37.11 tff(1128,plain,
% 36.95/37.11 (member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.95/37.12 inference(symmetry,[status(thm)],[1127])).
% 36.95/37.12 tff(1129,assumption,(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.95/37.12 tff(1130,plain,
% 36.95/37.12 (member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.95/37.12 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 36.95/37.12 tff(1131,plain,
% 36.95/37.12 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))))),
% 36.95/37.12 inference(quant_inst,[status(thm)],[])).
% 36.95/37.12 tff(1132,plain,
% 36.95/37.12 (~(((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))),
% 36.95/37.12 inference(unit_resolution,[status(thm)],[1131, 50])).
% 36.95/37.12 tff(1133,plain,
% 36.95/37.12 (((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))),
% 36.95/37.12 inference(tautology,[status(thm)],[])).
% 36.95/37.12 tff(1134,plain,
% 36.95/37.12 ((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))),
% 36.95/37.12 inference(unit_resolution,[status(thm)],[1133, 1126])).
% 36.95/37.12 tff(1135,plain,
% 36.95/37.12 ((((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))),
% 36.95/37.12 inference(tautology,[status(thm)],[])).
% 36.95/37.12 tff(1136,plain,
% 36.95/37.12 ((((~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))),
% 36.95/37.12 inference(unit_resolution,[status(thm)],[1135, 1134])).
% 36.95/37.12 tff(1137,plain,
% 36.95/37.12 (~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.95/37.12 inference(unit_resolution,[status(thm)],[1136, 1132])).
% 36.95/37.12 tff(1138,plain,
% 36.95/37.12 ($false),
% 36.95/37.12 inference(unit_resolution,[status(thm)],[1137, 1130])).
% 36.95/37.12 tff(1139,plain,(~member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.95/37.12 tff(1140,plain,
% 36.95/37.12 ((member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.95/37.12 inference(tautology,[status(thm)],[])).
% 36.95/37.12 tff(1141,plain,
% 36.95/37.12 (member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))),
% 36.95/37.12 inference(unit_resolution,[status(thm)],[1140, 1139, 1126])).
% 36.95/37.12 tff(1142,plain,
% 36.95/37.12 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))))) | (~((union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))))))))),
% 36.95/37.12 inference(quant_inst,[status(thm)],[])).
% 36.97/37.12 tff(1143,plain,
% 36.97/37.12 (~((~((~(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))))) | (~((union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))))))))),
% 36.97/37.12 inference(unit_resolution,[status(thm)],[1142, 28])).
% 36.97/37.12 tff(1144,plain,
% 36.97/37.12 (((~((~(union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), C!3), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(C!3, D!2), C!3), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))))) | (~((union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))))))) | ((union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))))))),
% 36.97/37.12 inference(tautology,[status(thm)],[])).
% 36.97/37.12 tff(1145,plain,
% 36.97/37.12 ((union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))))),
% 36.97/37.12 inference(unit_resolution,[status(thm)],[1144, 1143])).
% 36.97/37.12 tff(1146,plain,
% 36.97/37.12 ((~((union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))))))) | (union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))))),
% 36.97/37.12 inference(tautology,[status(thm)],[])).
% 36.97/37.12 tff(1147,plain,
% 36.97/37.12 ((union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)), union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3)))), difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3)))))),
% 36.97/37.12 inference(unit_resolution,[status(thm)],[1146, 1145])).
% 36.97/37.12 tff(1148,plain,
% 36.97/37.12 (union(difference(D!2, D!2), difference(difference(difference(C!3, D!2), D!2), union(difference(C!3, D!2), C!3))) = difference(difference(D!2, D!2), union(difference(C!3, D!2), C!3))),
% 36.97/37.12 inference(unit_resolution,[status(thm)],[1147, 1141])).
% 36.97/37.12 tff(1149,plain,
% 36.97/37.12 (difference(D!2, D!2) = difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)),
% 36.97/37.12 inference(transitivity,[status(thm)],[172, 1079, 1078, 1077, 1068, 1148, 1109, 894, 823])).
% 36.97/37.12 tff(1150,assumption,(~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))), introduced(assumption)).
% 36.97/37.12 tff(1151,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))), introduced(assumption)).
% 36.97/37.12 tff(1152,plain,
% 36.97/37.12 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), B!4) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[409])).
% 36.97/37.13 tff(1153,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), B!4)),
% 36.97/37.13 inference(symmetry,[status(thm)],[1152])).
% 36.97/37.13 tff(1154,plain,
% 36.97/37.13 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))))),
% 36.97/37.13 inference(quant_inst,[status(thm)],[])).
% 36.97/37.13 tff(1155,plain,
% 36.97/37.13 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1154, 50])).
% 36.97/37.13 tff(1156,assumption,(~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 36.97/37.13 tff(1157,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[402])).
% 36.97/37.13 tff(1158,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3)),
% 36.97/37.13 inference(symmetry,[status(thm)],[1157])).
% 36.97/37.13 tff(1159,plain,
% 36.97/37.13 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[1158])).
% 36.97/37.13 tff(1160,plain,
% 36.97/37.13 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))))),
% 36.97/37.13 inference(quant_inst,[status(thm)],[])).
% 36.97/37.13 tff(1161,plain,
% 36.97/37.13 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1160, 50])).
% 36.97/37.13 tff(1162,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[526])).
% 36.97/37.13 tff(1163,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(symmetry,[status(thm)],[1162])).
% 36.97/37.13 tff(1164,plain,
% 36.97/37.13 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[1163])).
% 36.97/37.13 tff(1165,assumption,(~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))), introduced(assumption)).
% 36.97/37.13 tff(1166,plain,
% 36.97/37.13 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 36.97/37.13 tff(1167,plain,
% 36.97/37.13 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1168,plain,
% 36.97/37.13 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1167, 1166, 1161])).
% 36.97/37.13 tff(1169,plain,
% 36.97/37.13 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3))))))),
% 36.97/37.13 inference(quant_inst,[status(thm)],[])).
% 36.97/37.13 tff(1170,plain,
% 36.97/37.13 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1169, 50])).
% 36.97/37.13 tff(1171,plain,
% 36.97/37.13 (difference(D!2, union(B!4, difference(D!2, C!3))) = difference(D!2, B!4)),
% 36.97/37.13 inference(monotonicity,[status(thm)],[340])).
% 36.97/37.13 tff(1172,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[1171])).
% 36.97/37.13 tff(1173,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(symmetry,[status(thm)],[1172])).
% 36.97/37.13 tff(1174,plain,
% 36.97/37.13 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1175,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1174, 1165, 1156])).
% 36.97/37.13 tff(1176,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(modus_ponens,[status(thm)],[1175, 1173])).
% 36.97/37.13 tff(1177,plain,
% 36.97/37.13 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1178,plain,
% 36.97/37.13 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1177, 1176, 1170])).
% 36.97/37.13 tff(1179,plain,
% 36.97/37.13 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1180,plain,
% 36.97/37.13 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1179, 1178])).
% 36.97/37.13 tff(1181,plain,
% 36.97/37.13 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1182,plain,
% 36.97/37.13 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1181, 1180, 1168])).
% 36.97/37.13 tff(1183,plain,
% 36.97/37.13 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3)),
% 36.97/37.13 inference(modus_ponens,[status(thm)],[1182, 1159])).
% 36.97/37.13 tff(1184,plain,
% 36.97/37.13 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))))),
% 36.97/37.13 inference(quant_inst,[status(thm)],[])).
% 36.97/37.13 tff(1185,plain,
% 36.97/37.13 (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1184, 267])).
% 36.97/37.13 tff(1186,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), B!4) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[409])).
% 36.97/37.13 tff(1187,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), B!4)),
% 36.97/37.13 inference(symmetry,[status(thm)],[1186])).
% 36.97/37.13 tff(1188,plain,
% 36.97/37.13 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), B!4))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[1187])).
% 36.97/37.13 tff(1189,plain,
% 36.97/37.13 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), B!4)),
% 36.97/37.13 inference(modus_ponens,[status(thm)],[1180, 1188])).
% 36.97/37.13 tff(1190,plain,
% 36.97/37.13 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), B!4) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1191,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1190, 1189, 1185])).
% 36.97/37.13 tff(1192,plain,
% 36.97/37.13 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1193,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1192, 1178])).
% 36.97/37.13 tff(1194,plain,
% 36.97/37.13 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1195,plain,
% 36.97/37.13 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), C!3)),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1194, 1193])).
% 36.97/37.13 tff(1196,plain,
% 36.97/37.13 ($false),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1195, 1191, 1183])).
% 36.97/37.13 tff(1197,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.13 tff(1198,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1197, 1156])).
% 36.97/37.13 tff(1199,plain,
% 36.97/37.13 (((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))) <=> ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))),
% 36.97/37.13 inference(rewrite,[status(thm)],[])).
% 36.97/37.13 tff(1200,plain,
% 36.97/37.13 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2))),
% 36.97/37.13 inference(quant_inst,[status(thm)],[])).
% 36.97/37.13 tff(1201,plain,
% 36.97/37.13 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)),
% 36.97/37.13 inference(modus_ponens,[status(thm)],[1200, 1199])).
% 36.97/37.13 tff(1202,plain,
% 36.97/37.13 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1201, 566])).
% 36.97/37.13 tff(1203,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1202, 1198])).
% 36.97/37.13 tff(1204,plain,
% 36.97/37.13 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 36.97/37.13 inference(monotonicity,[status(thm)],[1173])).
% 36.97/37.13 tff(1205,plain,
% 36.97/37.13 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1206,plain,
% 36.97/37.13 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1205, 1198, 1156])).
% 36.97/37.13 tff(1207,plain,
% 36.97/37.13 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(modus_ponens,[status(thm)],[1206, 1204])).
% 36.97/37.13 tff(1208,plain,
% 36.97/37.13 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1209,plain,
% 36.97/37.13 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1208, 1207, 1170])).
% 36.97/37.13 tff(1210,plain,
% 36.97/37.13 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(modus_ponens,[status(thm)],[1198, 1163])).
% 36.97/37.13 tff(1211,plain,
% 36.97/37.13 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.13 inference(tautology,[status(thm)],[])).
% 36.97/37.13 tff(1212,plain,
% 36.97/37.13 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))))),
% 36.97/37.13 inference(unit_resolution,[status(thm)],[1211, 1210, 1161])).
% 36.97/37.13 tff(1213,plain,
% 36.97/37.13 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))))),
% 36.97/37.14 inference(tautology,[status(thm)],[])).
% 36.97/37.14 tff(1214,plain,
% 36.97/37.14 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1213, 1212])).
% 36.97/37.14 tff(1215,plain,
% 36.97/37.14 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), union(B!4, difference(D!2, C!3)))),
% 36.97/37.14 inference(tautology,[status(thm)],[])).
% 36.97/37.14 tff(1216,plain,
% 36.97/37.14 ($false),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1215, 1214, 1209, 1203])).
% 36.97/37.14 tff(1217,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.14 tff(1218,plain,
% 36.97/37.14 (((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(D!2, B!4) = difference(union(difference(C!3, D!2), C!3), B!4)))) <=> ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(D!2, B!4) = difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.14 inference(rewrite,[status(thm)],[])).
% 36.97/37.14 tff(1219,plain,
% 36.97/37.14 ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(D!2, B!4) = difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.14 inference(quant_inst,[status(thm)],[])).
% 36.97/37.14 tff(1220,plain,
% 36.97/37.14 ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(D!2, B!4) = difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.14 inference(modus_ponens,[status(thm)],[1219, 1218])).
% 36.97/37.14 tff(1221,plain,
% 36.97/37.14 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(D!2, B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, B!4)), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(D!2, B!4) = difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1220, 779])).
% 36.97/37.14 tff(1222,plain,
% 36.97/37.14 (difference(D!2, B!4) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1221, 1217])).
% 36.97/37.14 tff(1223,plain,
% 36.97/37.14 (difference(D!2, union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 36.97/37.14 inference(transitivity,[status(thm)],[1171, 1222])).
% 36.97/37.14 tff(1224,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.14 inference(monotonicity,[status(thm)],[1223])).
% 36.97/37.14 tff(1225,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 36.97/37.14 inference(symmetry,[status(thm)],[1224])).
% 36.97/37.14 tff(1226,plain,
% 36.97/37.14 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 36.97/37.14 inference(monotonicity,[status(thm)],[1225])).
% 36.97/37.14 tff(1227,assumption,(~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 36.97/37.14 tff(1228,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.14 inference(monotonicity,[status(thm)],[355])).
% 36.97/37.14 tff(1229,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 36.97/37.14 inference(symmetry,[status(thm)],[1228])).
% 36.97/37.14 tff(1230,plain,
% 36.97/37.14 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))))),
% 36.97/37.14 inference(monotonicity,[status(thm)],[1229])).
% 36.97/37.14 tff(1231,plain,
% 36.97/37.14 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))))),
% 36.97/37.14 inference(quant_inst,[status(thm)],[])).
% 36.97/37.14 tff(1232,plain,
% 36.97/37.14 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1231, 50])).
% 36.97/37.14 tff(1233,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.14 inference(monotonicity,[status(thm)],[526])).
% 36.97/37.14 tff(1234,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.14 inference(symmetry,[status(thm)],[1233])).
% 36.97/37.14 tff(1235,assumption,(~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))))), introduced(assumption)).
% 36.97/37.14 tff(1236,plain,
% 36.97/37.14 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.14 inference(tautology,[status(thm)],[])).
% 36.97/37.14 tff(1237,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1236, 1227, 1235])).
% 36.97/37.14 tff(1238,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.14 inference(modus_ponens,[status(thm)],[1237, 1234])).
% 36.97/37.14 tff(1239,plain,
% 36.97/37.14 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.14 inference(tautology,[status(thm)],[])).
% 36.97/37.14 tff(1240,plain,
% 36.97/37.14 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3))))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1239, 1238, 1232])).
% 36.97/37.14 tff(1241,plain,
% 36.97/37.14 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3))))),
% 36.97/37.14 inference(tautology,[status(thm)],[])).
% 36.97/37.14 tff(1242,plain,
% 36.97/37.14 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1241, 1240])).
% 36.97/37.14 tff(1243,plain,
% 36.97/37.14 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 36.97/37.14 inference(modus_ponens,[status(thm)],[1242, 1230])).
% 36.97/37.14 tff(1244,plain,
% 36.97/37.14 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.14 inference(quant_inst,[status(thm)],[])).
% 36.97/37.14 tff(1245,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3))))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1244, 105])).
% 36.97/37.14 tff(1246,plain,
% 36.97/37.14 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))))),
% 36.97/37.14 inference(quant_inst,[status(thm)],[])).
% 36.97/37.14 tff(1247,plain,
% 36.97/37.14 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3))))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1246, 50])).
% 36.97/37.14 tff(1248,plain,
% 36.97/37.14 (difference(D!2, C!3) = difference(B!4, union(difference(C!3, D!2), C!3))),
% 36.97/37.14 inference(symmetry,[status(thm)],[436])).
% 36.97/37.14 tff(1249,plain,
% 36.97/37.14 (difference(D!2, difference(D!2, C!3)) = difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.97/37.14 inference(monotonicity,[status(thm)],[1248])).
% 36.97/37.14 tff(1250,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.97/37.14 inference(monotonicity,[status(thm)],[1249])).
% 36.97/37.14 tff(1251,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.14 inference(symmetry,[status(thm)],[1250])).
% 36.97/37.14 tff(1252,plain,
% 36.97/37.14 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3))))),
% 36.97/37.14 inference(monotonicity,[status(thm)],[1251])).
% 36.97/37.14 tff(1253,plain,
% 36.97/37.14 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.14 inference(modus_ponens,[status(thm)],[1235, 1252])).
% 36.97/37.14 tff(1254,plain,
% 36.97/37.14 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.14 inference(tautology,[status(thm)],[])).
% 36.97/37.14 tff(1255,plain,
% 36.97/37.14 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))),
% 36.97/37.14 inference(unit_resolution,[status(thm)],[1254, 1253, 1247])).
% 36.97/37.14 tff(1256,plain,
% 36.97/37.14 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))),
% 36.97/37.15 inference(monotonicity,[status(thm)],[610])).
% 36.97/37.15 tff(1257,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.97/37.15 inference(symmetry,[status(thm)],[1256])).
% 36.97/37.15 tff(1258,plain,
% 36.97/37.15 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2)))),
% 36.97/37.15 inference(monotonicity,[status(thm)],[1257])).
% 36.97/37.15 tff(1259,plain,
% 36.97/37.15 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))))),
% 36.97/37.15 inference(quant_inst,[status(thm)],[])).
% 36.97/37.15 tff(1260,plain,
% 36.97/37.15 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1259, 50])).
% 36.97/37.15 tff(1261,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.15 inference(monotonicity,[status(thm)],[828])).
% 36.97/37.15 tff(1262,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.97/37.15 inference(symmetry,[status(thm)],[1261])).
% 36.97/37.15 tff(1263,plain,
% 36.97/37.15 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))))),
% 36.97/37.15 inference(monotonicity,[status(thm)],[1250])).
% 36.97/37.15 tff(1264,assumption,(~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)), introduced(assumption)).
% 36.97/37.15 tff(1265,plain,
% 36.97/37.15 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1266,plain,
% 36.97/37.15 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1265, 1264])).
% 36.97/37.15 tff(1267,plain,
% 36.97/37.15 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3))))),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1268,plain,
% 36.97/37.15 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1267, 1266, 1247])).
% 36.97/37.15 tff(1269,plain,
% 36.97/37.15 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.97/37.15 inference(modus_ponens,[status(thm)],[1268, 1263])).
% 36.97/37.15 tff(1270,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1236, 1269, 1227])).
% 36.97/37.15 tff(1271,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.97/37.15 inference(modus_ponens,[status(thm)],[1270, 1262])).
% 36.97/37.15 tff(1272,plain,
% 36.97/37.15 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))))),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1273,plain,
% 36.97/37.15 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2)))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1272, 1271, 1260])).
% 36.97/37.15 tff(1274,plain,
% 36.97/37.15 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2)))),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1275,plain,
% 36.97/37.15 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1274, 1273])).
% 36.97/37.15 tff(1276,plain,
% 36.97/37.15 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.97/37.15 inference(modus_ponens,[status(thm)],[1275, 1258])).
% 36.97/37.15 tff(1277,plain,
% 36.97/37.15 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2))))),
% 36.97/37.15 inference(quant_inst,[status(thm)],[])).
% 36.97/37.15 tff(1278,plain,
% 36.97/37.15 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2)))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1277, 50])).
% 36.97/37.15 tff(1279,plain,
% 36.97/37.15 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1280,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1279, 1273])).
% 36.97/37.15 tff(1281,plain,
% 36.97/37.15 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1282,plain,
% 36.97/37.15 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1281, 1280, 1264])).
% 36.97/37.15 tff(1283,plain,
% 36.97/37.15 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1284,plain,
% 36.97/37.15 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1283, 1282])).
% 36.97/37.15 tff(1285,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), D!2))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1284, 1278])).
% 36.97/37.15 tff(1286,plain,
% 36.97/37.15 ($false),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1285, 1276])).
% 36.97/37.15 tff(1287,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.15 tff(1288,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1287, 1227])).
% 36.97/37.15 tff(1289,plain,
% 36.97/37.15 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1290,plain,
% 36.97/37.15 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1289, 1288])).
% 36.97/37.15 tff(1291,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1290, 1255])).
% 36.97/37.15 tff(1292,plain,
% 36.97/37.15 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)))),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1293,plain,
% 36.97/37.15 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.15 inference(unit_resolution,[status(thm)],[1292, 1291])).
% 36.97/37.15 tff(1294,plain,
% 36.97/37.15 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.15 inference(tautology,[status(thm)],[])).
% 36.97/37.15 tff(1295,plain,
% 36.97/37.15 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1294, 1293])).
% 36.97/37.16 tff(1296,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1295, 1245])).
% 36.97/37.16 tff(1297,plain,
% 36.97/37.16 ($false),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1296, 1243])).
% 36.97/37.16 tff(1298,plain,((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.16 tff(1299,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1298, 1227])).
% 36.97/37.16 tff(1300,plain,
% 36.97/37.16 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1301,plain,
% 36.97/37.16 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1300, 1299, 1227])).
% 36.97/37.16 tff(1302,plain,
% 36.97/37.16 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 36.97/37.16 inference(modus_ponens,[status(thm)],[1301, 1226])).
% 36.97/37.16 tff(1303,plain,
% 36.97/37.16 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1304,plain,
% 36.97/37.16 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1303, 1302, 1155])).
% 36.97/37.16 tff(1305,plain,
% 36.97/37.16 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1306,plain,
% 36.97/37.16 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1305, 1288])).
% 36.97/37.16 tff(1307,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1306, 1304])).
% 36.97/37.16 tff(1308,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), B!4)),
% 36.97/37.16 inference(modus_ponens,[status(thm)],[1307, 1153])).
% 36.97/37.16 tff(1309,plain,
% 36.97/37.16 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2))))),
% 36.97/37.16 inference(quant_inst,[status(thm)],[])).
% 36.97/37.16 tff(1310,plain,
% 36.97/37.16 (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1309, 267])).
% 36.97/37.16 tff(1311,plain,
% 36.97/37.16 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2))))),
% 36.97/37.16 inference(monotonicity,[status(thm)],[1262])).
% 36.97/37.16 tff(1312,plain,
% 36.97/37.16 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.97/37.16 inference(modus_ponens,[status(thm)],[1301, 1311])).
% 36.97/37.16 tff(1313,plain,
% 36.97/37.16 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), difference(C!3, D!2)))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1314,plain,
% 36.97/37.16 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1313, 1312, 1260])).
% 36.97/37.16 tff(1315,assumption,(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.97/37.16 tff(1316,plain,
% 36.97/37.16 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))))),
% 36.97/37.16 inference(quant_inst,[status(thm)],[])).
% 36.97/37.16 tff(1317,plain,
% 36.97/37.16 ($false),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1316, 50, 1315])).
% 36.97/37.16 tff(1318,plain,(~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.16 tff(1319,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.16 inference(modus_ponens,[status(thm)],[1299, 1251])).
% 36.97/37.16 tff(1320,plain,
% 36.97/37.16 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1267, 1319, 1247])).
% 36.97/37.16 tff(1321,plain,
% 36.97/37.16 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1322,plain,
% 36.97/37.16 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1321, 1320])).
% 36.97/37.16 tff(1323,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))),
% 36.97/37.16 inference(monotonicity,[status(thm)],[127])).
% 36.97/37.16 tff(1324,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.97/37.16 inference(symmetry,[status(thm)],[1323])).
% 36.97/37.16 tff(1325,plain,
% 36.97/37.16 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3))))),
% 36.97/37.16 inference(monotonicity,[status(thm)],[1324])).
% 36.97/37.16 tff(1326,assumption,(~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))), introduced(assumption)).
% 36.97/37.16 tff(1327,plain,
% 36.97/37.16 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.97/37.16 inference(modus_ponens,[status(thm)],[1326, 1325])).
% 36.97/37.16 tff(1328,assumption,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.97/37.16 tff(1329,plain,
% 36.97/37.16 ($false),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1328, 1327])).
% 36.97/37.16 tff(1330,plain,((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, C!3))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.16 tff(1331,plain,
% 36.97/37.16 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1330, 1322])).
% 36.97/37.16 tff(1332,plain,
% 36.97/37.16 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1333,plain,
% 36.97/37.16 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1332, 1331, 1318])).
% 36.97/37.16 tff(1334,plain,
% 36.97/37.16 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1335,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1334, 1333, 1288])).
% 36.97/37.16 tff(1336,plain,
% 36.97/37.16 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1337,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1336, 1335, 1314])).
% 36.97/37.16 tff(1338,plain,
% 36.97/37.16 (((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3))) <=> ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3))),
% 36.97/37.16 inference(rewrite,[status(thm)],[])).
% 36.97/37.16 tff(1339,plain,
% 36.97/37.16 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3))),
% 36.97/37.16 inference(quant_inst,[status(thm)],[])).
% 36.97/37.16 tff(1340,plain,
% 36.97/37.16 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3)),
% 36.97/37.16 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 36.97/37.16 tff(1341,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3)),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1340, 87, 1337])).
% 36.97/37.16 tff(1342,plain,
% 36.97/37.16 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3)) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1343,plain,
% 36.97/37.16 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3))),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1342, 1288])).
% 36.97/37.16 tff(1344,plain,
% 36.97/37.16 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1343, 1341])).
% 36.97/37.16 tff(1345,plain,
% 36.97/37.16 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), B!4) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), C!3) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), D!2)))),
% 36.97/37.16 inference(tautology,[status(thm)],[])).
% 36.97/37.16 tff(1346,plain,
% 36.97/37.16 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), B!4)),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1345, 1344, 1310])).
% 36.97/37.16 tff(1347,plain,
% 36.97/37.16 ($false),
% 36.97/37.16 inference(unit_resolution,[status(thm)],[1346, 1308])).
% 36.97/37.16 tff(1348,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.17 tff(1349,plain,
% 36.97/37.17 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))))))))),
% 36.97/37.17 inference(quant_inst,[status(thm)],[])).
% 36.97/37.17 tff(1350,plain,
% 36.97/37.17 (~((~((~(difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1349, 28])).
% 36.97/37.17 tff(1351,plain,
% 36.97/37.17 (((~((~(difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))))))) | ((difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.17 inference(tautology,[status(thm)],[])).
% 36.97/37.17 tff(1352,plain,
% 36.97/37.17 ((difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1351, 1350])).
% 36.97/37.17 tff(1353,plain,
% 36.97/37.17 ((~((difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))))) | (difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.17 inference(tautology,[status(thm)],[])).
% 36.97/37.17 tff(1354,plain,
% 36.97/37.17 ((difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1353, 1352])).
% 36.97/37.17 tff(1355,plain,
% 36.97/37.17 (difference(D!2, difference(B!4, union(difference(C!3, D!2), C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1354, 1348])).
% 36.97/37.17 tff(1356,plain,
% 36.97/37.17 (difference(D!2, difference(D!2, C!3)) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 36.97/37.17 inference(transitivity,[status(thm)],[1249, 1355])).
% 36.97/37.17 tff(1357,plain,
% 36.97/37.17 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.17 inference(monotonicity,[status(thm)],[1356])).
% 36.97/37.17 tff(1358,plain,
% 36.97/37.17 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.17 inference(symmetry,[status(thm)],[1357])).
% 36.97/37.17 tff(1359,plain,
% 36.97/37.17 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3))))),
% 36.97/37.17 inference(monotonicity,[status(thm)],[1358])).
% 36.97/37.17 tff(1360,assumption,(~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 36.97/37.17 tff(1361,plain,
% 36.97/37.17 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.17 inference(tautology,[status(thm)],[])).
% 36.97/37.17 tff(1362,plain,
% 36.97/37.17 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1361, 1360])).
% 36.97/37.17 tff(1363,plain,
% 36.97/37.17 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.17 inference(modus_ponens,[status(thm)],[1362, 1359])).
% 36.97/37.17 tff(1364,plain,
% 36.97/37.17 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3)))))),
% 36.97/37.17 inference(quant_inst,[status(thm)],[])).
% 36.97/37.17 tff(1365,plain,
% 36.97/37.17 (~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3))))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1364, 50])).
% 36.97/37.17 tff(1366,plain,
% 36.97/37.17 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)),
% 36.97/37.17 inference(tautology,[status(thm)],[])).
% 36.97/37.17 tff(1367,plain,
% 36.97/37.17 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1366, 1360])).
% 36.97/37.17 tff(1368,plain,
% 36.97/37.17 ((~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))),
% 36.97/37.17 inference(tautology,[status(thm)],[])).
% 36.97/37.17 tff(1369,plain,
% 36.97/37.17 (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1368, 1151, 1367])).
% 36.97/37.17 tff(1370,plain,
% 36.97/37.17 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3)))) | ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.17 inference(tautology,[status(thm)],[])).
% 36.97/37.17 tff(1371,plain,
% 36.97/37.17 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1370, 1369])).
% 36.97/37.17 tff(1372,plain,
% 36.97/37.17 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(D!2, C!3)))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1371, 1365])).
% 36.97/37.17 tff(1373,plain,
% 36.97/37.17 ($false),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1372, 1363])).
% 36.97/37.17 tff(1374,plain,(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.17 tff(1375,plain,
% 36.97/37.17 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1374, 1151])).
% 36.97/37.17 tff(1376,plain,
% 36.97/37.17 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))),
% 36.97/37.17 inference(tautology,[status(thm)],[])).
% 36.97/37.17 tff(1377,plain,
% 36.97/37.17 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1376, 1151, 1150])).
% 36.97/37.17 tff(1378,assumption,(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 36.97/37.17 tff(1379,plain,
% 36.97/37.17 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.17 inference(quant_inst,[status(thm)],[])).
% 36.97/37.17 tff(1380,plain,
% 36.97/37.17 ($false),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1379, 50, 1378])).
% 36.97/37.17 tff(1381,plain,(~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.17 tff(1382,plain,
% 36.97/37.17 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.17 inference(tautology,[status(thm)],[])).
% 36.97/37.17 tff(1383,plain,
% 36.97/37.17 ((~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1382, 1381])).
% 36.97/37.17 tff(1384,plain,
% 36.97/37.17 ($false),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1383, 1377, 1375])).
% 36.97/37.17 tff(1385,plain,(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.17 tff(1386,plain,
% 36.97/37.17 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))),
% 36.97/37.17 inference(unit_resolution,[status(thm)],[1385, 1150])).
% 36.97/37.17 tff(1387,plain,
% 36.97/37.17 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))),
% 36.97/37.17 inference(monotonicity,[status(thm)],[127])).
% 36.97/37.17 tff(1388,plain,
% 36.97/37.17 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.97/37.18 inference(symmetry,[status(thm)],[1387])).
% 36.97/37.18 tff(1389,assumption,(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))), introduced(assumption)).
% 36.97/37.18 tff(1390,plain,
% 36.97/37.18 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.97/37.18 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 36.97/37.18 tff(1391,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.97/37.18 tff(1392,plain,
% 36.97/37.18 ($false),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1391, 1390])).
% 36.97/37.18 tff(1393,plain,(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.18 tff(1394,plain,
% 36.97/37.18 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3)))),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1393, 1386])).
% 36.97/37.18 tff(1395,assumption,(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.97/37.18 tff(1396,plain,
% 36.97/37.18 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3)))))),
% 36.97/37.18 inference(quant_inst,[status(thm)],[])).
% 36.97/37.18 tff(1397,plain,
% 36.97/37.18 ($false),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1396, 50, 1395])).
% 36.97/37.18 tff(1398,plain,(~(((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3))))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.18 tff(1399,plain,
% 36.97/37.18 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3))))),
% 36.97/37.18 inference(tautology,[status(thm)],[])).
% 36.97/37.18 tff(1400,plain,
% 36.97/37.18 ((~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, union(difference(C!3, D!2), C!3))))),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1399, 1398])).
% 36.97/37.18 tff(1401,plain,
% 36.97/37.18 (~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1400, 1394])).
% 36.97/37.18 tff(1402,plain,
% 36.97/37.18 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))),
% 36.97/37.18 inference(tautology,[status(thm)],[])).
% 36.97/37.18 tff(1403,plain,
% 36.97/37.18 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1402, 1401])).
% 36.97/37.18 tff(1404,plain,
% 36.97/37.18 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.18 inference(monotonicity,[status(thm)],[526])).
% 36.97/37.18 tff(1405,plain,
% 36.97/37.18 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.18 inference(symmetry,[status(thm)],[1404])).
% 36.97/37.18 tff(1406,plain,
% 36.97/37.18 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.18 inference(rewrite,[status(thm)],[])).
% 36.97/37.18 tff(1407,plain,
% 36.97/37.18 ((member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.18 inference(rewrite,[status(thm)],[])).
% 36.97/37.18 tff(1408,plain,
% 36.97/37.18 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.18 inference(monotonicity,[status(thm)],[1407])).
% 36.97/37.18 tff(1409,plain,
% 36.97/37.18 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.18 inference(transitivity,[status(thm)],[1408, 1406])).
% 36.97/37.18 tff(1410,plain,
% 36.97/37.18 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))),
% 36.97/37.18 inference(quant_inst,[status(thm)],[])).
% 36.97/37.18 tff(1411,plain,
% 36.97/37.18 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.18 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 36.97/37.18 tff(1412,plain,
% 36.97/37.18 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1411, 105])).
% 36.97/37.18 tff(1413,plain,
% 36.97/37.18 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)))),
% 36.97/37.18 inference(quant_inst,[status(thm)],[])).
% 36.97/37.18 tff(1414,plain,
% 36.97/37.18 (union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1413, 505])).
% 36.97/37.18 tff(1415,plain,
% 36.97/37.18 (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.18 inference(symmetry,[status(thm)],[1414])).
% 36.97/37.18 tff(1416,plain,
% 36.97/37.18 (tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) = tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.18 inference(monotonicity,[status(thm)],[1415])).
% 36.97/37.18 tff(1417,plain,
% 36.97/37.18 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.18 inference(monotonicity,[status(thm)],[1416, 1415])).
% 36.97/37.18 tff(1418,assumption,(~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.97/37.18 tff(1419,plain,
% 36.97/37.18 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 36.97/37.18 inference(monotonicity,[status(thm)],[1416])).
% 36.97/37.18 tff(1420,assumption,(~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)))), introduced(assumption)).
% 36.97/37.18 tff(1421,plain,
% 36.97/37.18 ((member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.97/37.18 inference(tautology,[status(thm)],[])).
% 36.97/37.18 tff(1422,plain,
% 36.97/37.18 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.97/37.18 inference(unit_resolution,[status(thm)],[1421, 1420, 1418])).
% 36.97/37.18 tff(1423,plain,
% 36.97/37.18 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 36.97/37.18 inference(modus_ponens,[status(thm)],[1422, 1419])).
% 36.97/37.18 tff(1424,plain,
% 36.97/37.18 ((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)))) <=> (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.18 inference(monotonicity,[status(thm)],[1417])).
% 36.97/37.18 tff(1425,plain,
% 36.97/37.18 (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.18 inference(modus_ponens,[status(thm)],[1420, 1424])).
% 36.97/37.18 tff(1426,plain,
% 36.97/37.18 ((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.19 inference(tautology,[status(thm)],[])).
% 36.97/37.19 tff(1427,plain,
% 36.97/37.19 (~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1426, 1425, 1412])).
% 36.97/37.19 tff(1428,plain,
% 36.97/37.19 ((member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))),
% 36.97/37.19 inference(tautology,[status(thm)],[])).
% 36.97/37.19 tff(1429,plain,
% 36.97/37.19 ($false),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1428, 1427, 1423])).
% 36.97/37.19 tff(1430,plain,(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.19 tff(1431,plain,
% 36.97/37.19 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1430, 1418])).
% 36.97/37.19 tff(1432,plain,
% 36.97/37.19 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.19 inference(modus_ponens,[status(thm)],[1431, 1417])).
% 36.97/37.19 tff(1433,plain,
% 36.97/37.19 ((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.19 inference(tautology,[status(thm)],[])).
% 36.97/37.19 tff(1434,plain,
% 36.97/37.19 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1433, 1432, 1412])).
% 36.97/37.19 tff(1435,plain,
% 36.97/37.19 ((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) <=> (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))),
% 36.97/37.19 inference(monotonicity,[status(thm)],[1419])).
% 36.97/37.19 tff(1436,plain,
% 36.97/37.19 ((member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))),
% 36.97/37.19 inference(tautology,[status(thm)],[])).
% 36.97/37.19 tff(1437,plain,
% 36.97/37.19 (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1436, 1431, 1418])).
% 36.97/37.19 tff(1438,plain,
% 36.97/37.19 (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 36.97/37.19 inference(modus_ponens,[status(thm)],[1437, 1435])).
% 36.97/37.19 tff(1439,plain,
% 36.97/37.19 ((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.19 inference(tautology,[status(thm)],[])).
% 36.97/37.19 tff(1440,plain,
% 36.97/37.19 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1439, 1438, 1434])).
% 36.97/37.19 tff(1441,plain,
% 36.97/37.19 (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.19 inference(modus_ponens,[status(thm)],[1440, 1405])).
% 36.97/37.19 tff(1442,plain,
% 36.97/37.19 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))))),
% 36.97/37.19 inference(quant_inst,[status(thm)],[])).
% 36.97/37.19 tff(1443,plain,
% 36.97/37.19 (~(((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1442, 50])).
% 36.97/37.19 tff(1444,plain,
% 36.97/37.19 (((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 36.97/37.19 inference(tautology,[status(thm)],[])).
% 36.97/37.19 tff(1445,plain,
% 36.97/37.19 ((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1444, 1438])).
% 36.97/37.19 tff(1446,plain,
% 36.97/37.19 ((((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.19 inference(tautology,[status(thm)],[])).
% 36.97/37.19 tff(1447,plain,
% 36.97/37.19 ((((~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1446, 1445])).
% 36.97/37.19 tff(1448,plain,
% 36.97/37.19 (~member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1447, 1443])).
% 36.97/37.19 tff(1449,plain,
% 36.97/37.19 ($false),
% 36.97/37.19 inference(unit_resolution,[status(thm)],[1448, 1441])).
% 36.97/37.19 tff(1450,plain,(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.19 tff(1451,plain,
% 36.97/37.19 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)))))))),
% 36.97/37.19 inference(rewrite,[status(thm)],[])).
% 36.97/37.19 tff(1452,plain,
% 36.97/37.19 ((~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)) | (~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))))))) <=> (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))))))),
% 36.97/37.19 inference(rewrite,[status(thm)],[])).
% 36.97/37.19 tff(1453,plain,
% 36.97/37.19 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)) | (~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)))))))),
% 36.97/37.20 inference(monotonicity,[status(thm)],[1452])).
% 36.97/37.20 tff(1454,plain,
% 36.97/37.20 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)) | (~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)))))))),
% 36.97/37.20 inference(transitivity,[status(thm)],[1453, 1451])).
% 36.97/37.20 tff(1455,plain,
% 36.97/37.20 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)) | (~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3))))))))),
% 36.97/37.20 inference(quant_inst,[status(thm)],[])).
% 36.97/37.20 tff(1456,plain,
% 36.97/37.20 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))))))),
% 36.97/37.20 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 36.97/37.20 tff(1457,plain,
% 36.97/37.20 (~((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)))))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1456, 28])).
% 36.97/37.20 tff(1458,plain,
% 36.97/37.20 (((~((~(union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | (~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))))) | ((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)))),
% 36.97/37.20 inference(tautology,[status(thm)],[])).
% 36.97/37.20 tff(1459,plain,
% 36.97/37.20 ((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1458, 1457])).
% 36.97/37.20 tff(1460,plain,
% 36.97/37.20 ((~((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)))) | (~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))),
% 36.97/37.20 inference(tautology,[status(thm)],[])).
% 36.97/37.20 tff(1461,plain,
% 36.97/37.20 ((~(member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3))), union(difference(C!3, D!2), C!3)))) | (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1460, 1459])).
% 36.97/37.20 tff(1462,plain,
% 36.97/37.20 (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(C!3, D!2), C!3)) = union(difference(C!3, D!2), C!3)),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1461, 1450])).
% 36.97/37.20 tff(1463,plain,
% 36.97/37.20 (union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(difference(C!3, D!2), C!3)),
% 36.97/37.20 inference(transitivity,[status(thm)],[1414, 1462])).
% 36.97/37.20 tff(1464,plain,
% 36.97/37.20 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 36.97/37.20 inference(monotonicity,[status(thm)],[1463])).
% 36.97/37.20 tff(1465,plain,
% 36.97/37.20 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.20 inference(symmetry,[status(thm)],[1464])).
% 36.97/37.20 tff(1466,plain,
% 36.97/37.20 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) <=> (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.20 inference(monotonicity,[status(thm)],[1465])).
% 36.97/37.20 tff(1467,assumption,(~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))), introduced(assumption)).
% 36.97/37.20 tff(1468,plain,
% 36.97/37.20 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.20 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 36.97/37.20 tff(1469,assumption,(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 36.97/37.20 tff(1470,plain,
% 36.97/37.20 ($false),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1469, 1468])).
% 36.97/37.20 tff(1471,plain,((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.20 tff(1472,plain,
% 36.97/37.20 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1471, 1403])).
% 36.97/37.20 tff(1473,plain,
% 36.97/37.20 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))),
% 36.97/37.20 inference(tautology,[status(thm)],[])).
% 36.97/37.20 tff(1474,plain,
% 36.97/37.20 (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1473, 1386, 1150])).
% 36.97/37.20 tff(1475,plain,
% 36.97/37.20 ((((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.20 inference(tautology,[status(thm)],[])).
% 36.97/37.20 tff(1476,plain,
% 36.97/37.20 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1475, 1381])).
% 36.97/37.20 tff(1477,plain,
% 36.97/37.20 ((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1476, 1474])).
% 36.97/37.20 tff(1478,plain,
% 36.97/37.20 (((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)),
% 36.97/37.20 inference(tautology,[status(thm)],[])).
% 36.97/37.20 tff(1479,plain,
% 36.97/37.20 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1478, 1401])).
% 36.97/37.20 tff(1480,plain,
% 36.97/37.20 ((~((~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.20 inference(tautology,[status(thm)],[])).
% 36.97/37.20 tff(1481,plain,
% 36.97/37.20 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1480, 1479, 1477])).
% 36.97/37.20 tff(1482,plain,
% 36.97/37.20 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.20 inference(tautology,[status(thm)],[])).
% 36.97/37.20 tff(1483,plain,
% 36.97/37.20 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.20 inference(unit_resolution,[status(thm)],[1482, 1481])).
% 36.97/37.20 tff(1484,assumption,(~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))), introduced(assumption)).
% 36.97/37.20 tff(1485,plain,
% 36.97/37.20 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.20 inference(rewrite,[status(thm)],[])).
% 36.97/37.20 tff(1486,plain,
% 36.97/37.20 ((member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.20 inference(rewrite,[status(thm)],[])).
% 36.97/37.20 tff(1487,plain,
% 36.97/37.20 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.21 inference(monotonicity,[status(thm)],[1486])).
% 36.97/37.21 tff(1488,plain,
% 36.97/37.21 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.21 inference(transitivity,[status(thm)],[1487, 1485])).
% 36.97/37.21 tff(1489,plain,
% 36.97/37.21 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))),
% 36.97/37.21 inference(quant_inst,[status(thm)],[])).
% 36.97/37.21 tff(1490,plain,
% 36.97/37.21 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.21 inference(modus_ponens,[status(thm)],[1489, 1488])).
% 36.97/37.21 tff(1491,plain,
% 36.97/37.21 ($false),
% 36.97/37.21 inference(unit_resolution,[status(thm)],[1490, 105, 1484])).
% 36.97/37.21 tff(1492,plain,(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.21 tff(1493,plain,
% 36.97/37.21 ((~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.21 inference(tautology,[status(thm)],[])).
% 36.97/37.21 tff(1494,plain,
% 36.97/37.21 (member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(union(difference(C!3, D!2), C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.21 inference(unit_resolution,[status(thm)],[1493, 1492])).
% 36.97/37.21 tff(1495,plain,
% 36.97/37.21 ($false),
% 36.97/37.21 inference(unit_resolution,[status(thm)],[1494, 1483, 1472])).
% 36.97/37.21 tff(1496,plain,(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.21 tff(1497,assumption,((~((~(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), D!2), difference(D!2, C!3))))) | (~((difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))))))), introduced(assumption)).
% 36.97/37.21 tff(1498,plain,
% 36.97/37.21 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), D!2), difference(D!2, C!3))))) | (~((difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))))))))),
% 36.97/37.21 inference(quant_inst,[status(thm)],[])).
% 36.97/37.21 tff(1499,plain,
% 36.97/37.21 ($false),
% 36.97/37.21 inference(unit_resolution,[status(thm)],[1498, 28, 1497])).
% 36.97/37.21 tff(1500,plain,(~((~((~(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), D!2), difference(D!2, C!3))))) | (~((difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))))))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.21 tff(1501,plain,
% 36.97/37.21 (((~((~(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3))) | (member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(C!3, D!2), C!3), D!2), difference(D!2, C!3))))) | (~((difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))))))) | ((difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))))),
% 36.97/37.21 inference(tautology,[status(thm)],[])).
% 36.97/37.21 tff(1502,plain,
% 36.97/37.21 ((difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))))),
% 36.97/37.21 inference(unit_resolution,[status(thm)],[1501, 1500])).
% 36.97/37.21 tff(1503,plain,
% 36.97/37.21 ((~((difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3)))))) | (difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))))),
% 36.97/37.21 inference(tautology,[status(thm)],[])).
% 36.97/37.21 tff(1504,plain,
% 36.97/37.21 ((difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)) | (~(member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(D!2, C!3), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(D!2, C!3))))),
% 36.97/37.21 inference(unit_resolution,[status(thm)],[1503, 1502])).
% 36.97/37.21 tff(1505,plain,
% 36.97/37.21 (difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, C!3)),
% 36.97/37.21 inference(unit_resolution,[status(thm)],[1504, 1496])).
% 36.97/37.21 tff(1506,plain,
% 36.97/37.21 (difference(D!2, C!3) = difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.21 inference(symmetry,[status(thm)],[1505])).
% 36.97/37.21 tff(1507,plain,
% 36.97/37.21 (difference(B!4, union(difference(C!3, D!2), C!3)) = difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.21 inference(transitivity,[status(thm)],[436, 1506])).
% 36.97/37.21 tff(1508,plain,
% 36.97/37.21 (union(difference(B!4, union(difference(C!3, D!2), C!3)), difference(D!2, D!2)) = union(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.97/37.21 inference(monotonicity,[status(thm)],[1507, 1149])).
% 36.97/37.21 tff(1509,plain,
% 36.97/37.21 (union(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) = union(difference(B!4, union(difference(C!3, D!2), C!3)), difference(D!2, D!2))),
% 36.97/37.21 inference(symmetry,[status(thm)],[1508])).
% 36.97/37.21 tff(1510,plain,
% 36.97/37.21 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.21 inference(quant_inst,[status(thm)],[])).
% 36.97/37.21 tff(1511,plain,
% 36.97/37.21 (union(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.21 inference(unit_resolution,[status(thm)],[1510, 505])).
% 36.97/37.21 tff(1512,plain,
% 36.97/37.21 (union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = union(difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 36.97/37.21 inference(symmetry,[status(thm)],[1511])).
% 36.97/37.21 tff(1513,plain,
% 36.97/37.21 (union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(D!2, C!3)),
% 36.97/37.21 inference(transitivity,[status(thm)],[1512, 1509, 507, 498, 436])).
% 36.97/37.21 tff(1514,plain,
% 36.97/37.21 (union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) = union(difference(C!3, D!2), difference(D!2, C!3))),
% 36.97/37.21 inference(monotonicity,[status(thm)],[1513])).
% 36.97/37.21 tff(1515,plain,
% 36.97/37.21 (union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) = symmetric_difference(C!3, D!2)),
% 36.97/37.21 inference(transitivity,[status(thm)],[1514, 10])).
% 36.97/37.21 tff(1516,plain,
% 36.97/37.21 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2))),
% 36.97/37.21 inference(monotonicity,[status(thm)],[1515])).
% 36.97/37.21 tff(1517,plain,
% 36.97/37.21 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.21 inference(symmetry,[status(thm)],[1516])).
% 36.97/37.21 tff(1518,plain,
% 36.97/37.21 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2))) <=> (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 36.97/37.21 inference(monotonicity,[status(thm)],[1517])).
% 36.97/37.21 tff(1519,plain,
% 36.97/37.21 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))))))))),
% 36.97/37.21 inference(rewrite,[status(thm)],[])).
% 36.97/37.21 tff(1520,plain,
% 36.97/37.21 ((~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))))))) <=> (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))))))),
% 36.97/37.21 inference(rewrite,[status(thm)],[])).
% 36.97/37.21 tff(1521,plain,
% 36.97/37.21 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))))))))),
% 36.97/37.22 inference(monotonicity,[status(thm)],[1520])).
% 36.97/37.22 tff(1522,plain,
% 36.97/37.22 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))))))))),
% 36.97/37.22 inference(transitivity,[status(thm)],[1521, 1519])).
% 36.97/37.22 tff(1523,plain,
% 36.97/37.22 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))))))))),
% 36.97/37.22 inference(quant_inst,[status(thm)],[])).
% 36.97/37.22 tff(1524,plain,
% 36.97/37.22 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))))))),
% 36.97/37.22 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 36.97/37.22 tff(1525,plain,
% 36.97/37.22 (~((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))))))),
% 36.97/37.22 inference(unit_resolution,[status(thm)],[1524, 28])).
% 36.97/37.22 tff(1526,plain,
% 36.97/37.22 (((~((~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(C!3, D!2), D!2), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), D!2), union(B!4, difference(D!2, C!3)))))) | (~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))))) | ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))))),
% 36.97/37.22 inference(tautology,[status(thm)],[])).
% 36.97/37.22 tff(1527,plain,
% 36.97/37.22 ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))),
% 36.97/37.22 inference(unit_resolution,[status(thm)],[1526, 1525])).
% 36.97/37.22 tff(1528,plain,
% 36.97/37.22 ((symmetric_difference(C!3, D!2) = B!4) <=> (B!4 = symmetric_difference(C!3, D!2))),
% 36.97/37.22 inference(commutativity,[status(thm)],[])).
% 36.97/37.22 tff(1529,plain,
% 36.97/37.22 ((symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))) <=> (symmetric_difference(C!3, D!2) = B!4)),
% 36.97/37.22 inference(monotonicity,[status(thm)],[340])).
% 36.97/37.22 tff(1530,plain,
% 36.97/37.22 ((symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))) <=> (B!4 = symmetric_difference(C!3, D!2))),
% 36.97/37.22 inference(transitivity,[status(thm)],[1529, 1528])).
% 36.97/37.22 tff(1531,plain,
% 36.97/37.22 ((B!4 = symmetric_difference(C!3, D!2)) <=> (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))),
% 36.97/37.22 inference(symmetry,[status(thm)],[1530])).
% 36.97/37.22 tff(1532,plain,
% 36.97/37.22 ((~(B!4 = symmetric_difference(C!3, D!2))) <=> (~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))))),
% 36.97/37.22 inference(monotonicity,[status(thm)],[1531])).
% 36.97/37.22 tff(1533,plain,
% 36.97/37.22 (~(B!4 = symmetric_difference(C!3, D!2))),
% 36.97/37.22 inference(and_elim,[status(thm)],[265])).
% 36.97/37.22 tff(1534,plain,
% 36.97/37.22 (~(symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))),
% 36.97/37.22 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 36.97/37.22 tff(1535,plain,
% 36.97/37.22 ((~((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3))))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | (symmetric_difference(C!3, D!2) = union(B!4, difference(D!2, C!3)))),
% 36.97/37.22 inference(tautology,[status(thm)],[])).
% 36.97/37.22 tff(1536,plain,
% 36.97/37.22 (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 36.97/37.22 inference(unit_resolution,[status(thm)],[1535, 1534, 1527])).
% 36.97/37.22 tff(1537,assumption,(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))), introduced(assumption)).
% 36.97/37.22 tff(1538,plain,
% 36.97/37.22 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 36.97/37.22 inference(quant_inst,[status(thm)],[])).
% 36.97/37.22 tff(1539,plain,
% 36.97/37.22 (union(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))),
% 36.97/37.22 inference(unit_resolution,[status(thm)],[1538, 505])).
% 36.97/37.22 tff(1540,assumption,(~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))), introduced(assumption)).
% 36.97/37.22 tff(1541,plain,
% 36.97/37.22 (difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.22 inference(monotonicity,[status(thm)],[1513])).
% 36.97/37.22 tff(1542,plain,
% 36.97/37.22 (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.22 inference(monotonicity,[status(thm)],[1541])).
% 36.97/37.22 tff(1543,plain,
% 36.97/37.22 (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.22 inference(symmetry,[status(thm)],[1542])).
% 36.97/37.22 tff(1544,assumption,(~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), introduced(assumption)).
% 36.97/37.22 tff(1545,plain,
% 36.97/37.22 ((member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.22 inference(tautology,[status(thm)],[])).
% 36.97/37.22 tff(1546,plain,
% 36.97/37.22 (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.22 inference(unit_resolution,[status(thm)],[1545, 1544, 1540])).
% 36.97/37.22 tff(1547,plain,
% 36.97/37.22 (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.22 inference(modus_ponens,[status(thm)],[1546, 1543])).
% 36.97/37.22 tff(1548,plain,
% 36.97/37.22 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.22 inference(quant_inst,[status(thm)],[])).
% 36.97/37.22 tff(1549,plain,
% 36.97/37.22 (~(((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.22 inference(unit_resolution,[status(thm)],[1548, 50])).
% 36.97/37.22 tff(1550,plain,
% 36.97/37.22 (((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.22 inference(tautology,[status(thm)],[])).
% 36.97/37.22 tff(1551,plain,
% 36.97/37.22 ((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.22 inference(unit_resolution,[status(thm)],[1550, 1544])).
% 36.97/37.22 tff(1552,plain,
% 36.97/37.22 ((((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.23 inference(tautology,[status(thm)],[])).
% 36.97/37.23 tff(1553,plain,
% 36.97/37.23 (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.23 inference(unit_resolution,[status(thm)],[1552, 1551, 1549])).
% 36.97/37.23 tff(1554,plain,
% 36.97/37.23 ($false),
% 36.97/37.23 inference(unit_resolution,[status(thm)],[1553, 1547])).
% 36.97/37.23 tff(1555,plain,(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))), inference(lemma,lemma(discharge,[]))).
% 36.97/37.23 tff(1556,plain,
% 36.97/37.23 (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.23 inference(unit_resolution,[status(thm)],[1555, 1540])).
% 36.97/37.23 tff(1557,plain,
% 36.97/37.23 ((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) <=> (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.23 inference(monotonicity,[status(thm)],[1543])).
% 36.97/37.23 tff(1558,plain,
% 36.97/37.23 ((member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.23 inference(tautology,[status(thm)],[])).
% 36.97/37.23 tff(1559,plain,
% 36.97/37.23 (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.23 inference(unit_resolution,[status(thm)],[1558, 1556, 1540])).
% 36.97/37.23 tff(1560,plain,
% 36.97/37.23 (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.23 inference(modus_ponens,[status(thm)],[1559, 1557])).
% 36.97/37.23 tff(1561,plain,
% 36.97/37.23 ((((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))) | ((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 36.97/37.23 inference(tautology,[status(thm)],[])).
% 36.97/37.23 tff(1562,plain,
% 36.97/37.23 ((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 36.97/37.23 inference(unit_resolution,[status(thm)],[1561, 1560, 1549])).
% 36.97/37.23 tff(1563,plain,
% 36.97/37.23 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 36.97/37.23 inference(quant_inst,[status(thm)],[])).
% 36.97/37.23 tff(1564,plain,
% 36.97/37.23 (~(((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 36.97/37.23 inference(unit_resolution,[status(thm)],[1563, 50])).
% 36.97/37.23 tff(1565,plain,
% 36.97/37.23 (union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3))) = union(difference(B!4, union(difference(C!3, D!2), C!3)), difference(D!2, D!2))),
% 36.97/37.23 inference(symmetry,[status(thm)],[507])).
% 36.97/37.23 tff(1566,plain,
% 36.97/37.23 (difference(B!4, union(difference(C!3, D!2), C!3)) = union(difference(D!2, D!2), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 36.97/37.23 inference(symmetry,[status(thm)],[498])).
% 37.08/37.23 tff(1567,plain,
% 37.08/37.23 (difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.23 inference(transitivity,[status(thm)],[1505, 1248, 1566, 1565, 1508, 1511])).
% 37.08/37.23 tff(1568,plain,
% 37.08/37.23 (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.23 inference(monotonicity,[status(thm)],[1567])).
% 37.08/37.23 tff(1569,plain,
% 37.08/37.23 (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.23 inference(symmetry,[status(thm)],[1568])).
% 37.08/37.23 tff(1570,plain,
% 37.08/37.23 (member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.23 inference(modus_ponens,[status(thm)],[1556, 1569])).
% 37.08/37.23 tff(1571,plain,
% 37.08/37.23 ((((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | (~((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.23 inference(tautology,[status(thm)],[])).
% 37.08/37.23 tff(1572,plain,
% 37.08/37.23 (~((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.23 inference(unit_resolution,[status(thm)],[1571, 1570, 1564])).
% 37.08/37.23 tff(1573,plain,
% 37.08/37.23 (((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2)) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.23 inference(tautology,[status(thm)],[])).
% 37.08/37.23 tff(1574,plain,
% 37.08/37.23 (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.23 inference(unit_resolution,[status(thm)],[1573, 1572])).
% 37.08/37.23 tff(1575,plain,
% 37.08/37.23 ((~((~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.23 inference(tautology,[status(thm)],[])).
% 37.08/37.23 tff(1576,plain,
% 37.08/37.23 ($false),
% 37.08/37.23 inference(unit_resolution,[status(thm)],[1575, 1574, 1562, 1556])).
% 37.08/37.23 tff(1577,plain,(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.24 tff(1578,plain,
% 37.08/37.24 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | (member(tptp_fun_D_0(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~((union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))))))),
% 37.08/37.24 inference(quant_inst,[status(thm)],[])).
% 37.08/37.24 tff(1579,plain,
% 37.08/37.24 (~((~((~(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | (member(tptp_fun_D_0(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~((union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))))))),
% 37.08/37.24 inference(unit_resolution,[status(thm)],[1578, 28])).
% 37.08/37.24 tff(1580,plain,
% 37.08/37.24 (((~((~(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | (member(tptp_fun_D_0(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(D!2, difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~((union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))))) | ((union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.08/37.24 inference(tautology,[status(thm)],[])).
% 37.08/37.24 tff(1581,plain,
% 37.08/37.24 ((union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.24 inference(unit_resolution,[status(thm)],[1580, 1579])).
% 37.08/37.24 tff(1582,plain,
% 37.08/37.24 ((~((union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))))) | (union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.24 inference(tautology,[status(thm)],[])).
% 37.08/37.24 tff(1583,plain,
% 37.08/37.24 ((union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | (~(member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.24 inference(unit_resolution,[status(thm)],[1582, 1581])).
% 37.08/37.24 tff(1584,plain,
% 37.08/37.24 (union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.24 inference(unit_resolution,[status(thm)],[1583, 1577])).
% 37.08/37.24 tff(1585,plain,
% 37.08/37.24 (difference(B!4, union(difference(C!3, D!2), C!3)) = difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.24 inference(transitivity,[status(thm)],[1566, 1565, 1508, 1511, 1584])).
% 37.08/37.24 tff(1586,assumption,(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), introduced(assumption)).
% 37.08/37.24 tff(1587,plain,
% 37.08/37.24 (difference(D!2, difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 37.08/37.24 inference(transitivity,[status(thm)],[1249, 1355, 1586])).
% 37.08/37.24 tff(1588,plain,
% 37.08/37.24 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 37.08/37.24 inference(monotonicity,[status(thm)],[1587])).
% 37.08/37.24 tff(1589,plain,
% 37.08/37.24 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))),
% 37.08/37.24 inference(symmetry,[status(thm)],[1588])).
% 37.08/37.24 tff(1590,plain,
% 37.08/37.24 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) <=> (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3))))),
% 37.08/37.24 inference(monotonicity,[status(thm)],[1589])).
% 37.08/37.24 tff(1591,assumption,(~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))), introduced(assumption)).
% 37.08/37.24 tff(1592,assumption,(~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))), introduced(assumption)).
% 37.08/37.24 tff(1593,assumption,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))), introduced(assumption)).
% 37.08/37.24 tff(1594,plain,
% 37.08/37.24 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))),
% 37.08/37.24 inference(modus_ponens,[status(thm)],[1593, 1589])).
% 37.08/37.24 tff(1595,plain,
% 37.08/37.24 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))))),
% 37.08/37.24 inference(quant_inst,[status(thm)],[])).
% 37.08/37.24 tff(1596,plain,
% 37.08/37.24 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3))))),
% 37.08/37.24 inference(unit_resolution,[status(thm)],[1595, 50])).
% 37.08/37.24 tff(1597,plain,
% 37.08/37.24 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.08/37.24 inference(quant_inst,[status(thm)],[])).
% 37.08/37.24 tff(1598,plain,
% 37.08/37.24 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.08/37.24 inference(unit_resolution,[status(thm)],[1597, 50])).
% 37.08/37.24 tff(1599,plain,
% 37.08/37.24 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))),
% 37.08/37.25 inference(tautology,[status(thm)],[])).
% 37.08/37.25 tff(1600,plain,
% 37.08/37.25 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1599, 1592])).
% 37.08/37.25 tff(1601,plain,
% 37.08/37.25 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1600, 1598])).
% 37.08/37.25 tff(1602,plain,
% 37.08/37.25 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))),
% 37.08/37.25 inference(quant_inst,[status(thm)],[])).
% 37.08/37.25 tff(1603,plain,
% 37.08/37.25 (~(((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1602, 50])).
% 37.08/37.25 tff(1604,plain,
% 37.08/37.25 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 37.08/37.25 inference(tautology,[status(thm)],[])).
% 37.08/37.25 tff(1605,plain,
% 37.08/37.25 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1604, 1593])).
% 37.08/37.25 tff(1606,plain,
% 37.08/37.25 (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1605, 1603])).
% 37.08/37.25 tff(1607,plain,
% 37.08/37.25 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.25 inference(tautology,[status(thm)],[])).
% 37.08/37.25 tff(1608,plain,
% 37.08/37.25 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1607, 1606])).
% 37.08/37.25 tff(1609,plain,
% 37.08/37.25 ((~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))),
% 37.08/37.25 inference(tautology,[status(thm)],[])).
% 37.08/37.25 tff(1610,plain,
% 37.08/37.25 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1609, 1608, 1601])).
% 37.08/37.25 tff(1611,plain,
% 37.08/37.25 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))),
% 37.08/37.25 inference(tautology,[status(thm)],[])).
% 37.08/37.25 tff(1612,plain,
% 37.08/37.25 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1611, 1610])).
% 37.08/37.25 tff(1613,plain,
% 37.08/37.25 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3))))),
% 37.08/37.25 inference(tautology,[status(thm)],[])).
% 37.08/37.25 tff(1614,plain,
% 37.08/37.25 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1613, 1612, 1596])).
% 37.08/37.25 tff(1615,plain,
% 37.08/37.25 ($false),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1614, 1594])).
% 37.08/37.25 tff(1616,plain,((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.25 tff(1617,plain,
% 37.08/37.25 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1616, 1592, 1586])).
% 37.08/37.25 tff(1618,plain,
% 37.08/37.25 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 37.08/37.25 inference(tautology,[status(thm)],[])).
% 37.08/37.25 tff(1619,plain,
% 37.08/37.25 ($false),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1618, 1617, 1592, 1591])).
% 37.08/37.25 tff(1620,plain,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.25 tff(1621,plain,
% 37.08/37.25 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1620, 1591, 1586])).
% 37.08/37.25 tff(1622,plain,
% 37.08/37.25 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))),
% 37.08/37.25 inference(tautology,[status(thm)],[])).
% 37.08/37.25 tff(1623,plain,
% 37.08/37.25 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 37.08/37.25 inference(unit_resolution,[status(thm)],[1622, 1621, 1591])).
% 37.08/37.25 tff(1624,plain,
% 37.08/37.25 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))),
% 37.08/37.25 inference(modus_ponens,[status(thm)],[1623, 1590])).
% 37.08/37.25 tff(1625,plain,
% 37.08/37.25 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.08/37.26 inference(tautology,[status(thm)],[])).
% 37.08/37.26 tff(1626,plain,
% 37.08/37.26 (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1625, 1621, 1598])).
% 37.08/37.26 tff(1627,plain,
% 37.08/37.26 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))),
% 37.08/37.26 inference(tautology,[status(thm)],[])).
% 37.08/37.26 tff(1628,plain,
% 37.08/37.26 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1627, 1626])).
% 37.08/37.26 tff(1629,plain,
% 37.08/37.26 (((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.26 inference(tautology,[status(thm)],[])).
% 37.08/37.26 tff(1630,plain,
% 37.08/37.26 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1629, 1626])).
% 37.08/37.26 tff(1631,plain,
% 37.08/37.26 (((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2))) <=> ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2))),
% 37.08/37.26 inference(rewrite,[status(thm)],[])).
% 37.08/37.26 tff(1632,plain,
% 37.08/37.26 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2))),
% 37.08/37.26 inference(quant_inst,[status(thm)],[])).
% 37.08/37.26 tff(1633,plain,
% 37.08/37.26 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)),
% 37.08/37.26 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 37.08/37.26 tff(1634,plain,
% 37.08/37.26 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1633, 566])).
% 37.08/37.26 tff(1635,plain,
% 37.08/37.26 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1634, 1630])).
% 37.08/37.26 tff(1636,plain,
% 37.08/37.26 ((~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))),
% 37.08/37.26 inference(tautology,[status(thm)],[])).
% 37.08/37.26 tff(1637,plain,
% 37.08/37.26 (~((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3)))),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1636, 1635, 1628])).
% 37.08/37.26 tff(1638,plain,
% 37.08/37.26 ((((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))) | ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2)) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, C!3))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))),
% 37.08/37.26 inference(tautology,[status(thm)],[])).
% 37.08/37.26 tff(1639,plain,
% 37.08/37.26 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(D!2, difference(D!2, C!3)))),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1638, 1637, 1596])).
% 37.08/37.26 tff(1640,plain,
% 37.08/37.26 ($false),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1639, 1624])).
% 37.08/37.26 tff(1641,plain,((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (~(difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.26 tff(1642,plain,
% 37.08/37.26 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1641, 600])).
% 37.08/37.26 tff(1643,plain,
% 37.08/37.26 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))))))),
% 37.08/37.26 inference(quant_inst,[status(thm)],[])).
% 37.08/37.26 tff(1644,plain,
% 37.08/37.26 (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))))),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1643, 28])).
% 37.08/37.26 tff(1645,plain,
% 37.08/37.26 (((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))))) | ((difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))),
% 37.08/37.26 inference(tautology,[status(thm)],[])).
% 37.08/37.26 tff(1646,plain,
% 37.08/37.26 ((difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))),
% 37.08/37.26 inference(unit_resolution,[status(thm)],[1645, 1644])).
% 37.08/37.26 tff(1647,plain,
% 37.08/37.26 ((~((difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))))))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))),
% 37.08/37.27 inference(tautology,[status(thm)],[])).
% 37.08/37.27 tff(1648,plain,
% 37.08/37.27 ((difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)))))),
% 37.08/37.27 inference(unit_resolution,[status(thm)],[1647, 1646])).
% 37.08/37.27 tff(1649,plain,
% 37.08/37.27 (difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))),
% 37.08/37.27 inference(unit_resolution,[status(thm)],[1648, 1642])).
% 37.08/37.27 tff(1650,plain,
% 37.08/37.27 (difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2)) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))),
% 37.08/37.27 inference(symmetry,[status(thm)],[1649])).
% 37.08/37.27 tff(1651,plain,
% 37.08/37.27 (difference(union(difference(C!3, D!2), C!3), B!4) = difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))),
% 37.08/37.27 inference(transitivity,[status(thm)],[600, 1650])).
% 37.08/37.27 tff(1652,plain,
% 37.08/37.27 (union(difference(union(difference(C!3, D!2), C!3), B!4), difference(B!4, union(difference(C!3, D!2), C!3))) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)), difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.27 inference(monotonicity,[status(thm)],[1651, 1585])).
% 37.08/37.27 tff(1653,plain,
% 37.08/37.27 (union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) = difference(B!4, union(difference(C!3, D!2), C!3))),
% 37.08/37.27 inference(transitivity,[status(thm)],[1512, 1509, 507, 498])).
% 37.08/37.27 tff(1654,plain,
% 37.08/37.27 (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) = union(difference(union(difference(C!3, D!2), C!3), B!4), difference(B!4, union(difference(C!3, D!2), C!3)))),
% 37.08/37.27 inference(monotonicity,[status(thm)],[1653])).
% 37.08/37.27 tff(1655,plain,
% 37.08/37.27 (union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))),
% 37.08/37.27 inference(transitivity,[status(thm)],[1654, 1652, 1539])).
% 37.08/37.27 tff(1656,plain,
% 37.08/37.27 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.08/37.27 inference(monotonicity,[status(thm)],[1655])).
% 37.08/37.27 tff(1657,plain,
% 37.08/37.27 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.27 inference(symmetry,[status(thm)],[1656])).
% 37.08/37.27 tff(1658,plain,
% 37.08/37.27 ((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.08/37.27 inference(monotonicity,[status(thm)],[1657])).
% 37.08/37.27 tff(1659,assumption,(~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))), introduced(assumption)).
% 37.08/37.27 tff(1660,assumption,(~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), introduced(assumption)).
% 37.08/37.27 tff(1661,plain,
% 37.08/37.27 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.27 inference(monotonicity,[status(thm)],[1567])).
% 37.08/37.27 tff(1662,plain,
% 37.08/37.27 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.27 inference(symmetry,[status(thm)],[1661])).
% 37.08/37.27 tff(1663,plain,
% 37.08/37.27 ((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.27 inference(monotonicity,[status(thm)],[1662])).
% 37.08/37.27 tff(1664,plain,
% 37.08/37.27 (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.27 inference(modus_ponens,[status(thm)],[1660, 1663])).
% 37.08/37.27 tff(1665,assumption,(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 37.08/37.27 tff(1666,plain,
% 37.08/37.27 ($false),
% 37.08/37.27 inference(unit_resolution,[status(thm)],[1665, 1664])).
% 37.08/37.27 tff(1667,plain,((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.27 tff(1668,plain,
% 37.08/37.27 (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.27 inference(unit_resolution,[status(thm)],[1667, 1660])).
% 37.08/37.27 tff(1669,assumption,(((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 37.08/37.27 tff(1670,plain,
% 37.08/37.27 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.27 inference(quant_inst,[status(thm)],[])).
% 37.08/37.27 tff(1671,plain,
% 37.08/37.27 ($false),
% 37.08/37.27 inference(unit_resolution,[status(thm)],[1670, 50, 1669])).
% 37.08/37.27 tff(1672,plain,(~(((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.27 tff(1673,plain,
% 37.08/37.27 ((((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | ((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.27 inference(tautology,[status(thm)],[])).
% 37.08/37.27 tff(1674,plain,
% 37.08/37.27 (((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.27 inference(unit_resolution,[status(thm)],[1673, 1672])).
% 37.08/37.27 tff(1675,plain,
% 37.08/37.27 ((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.27 inference(unit_resolution,[status(thm)],[1674, 1668])).
% 37.08/37.27 tff(1676,assumption,(~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))), introduced(assumption)).
% 37.08/37.27 tff(1677,plain,
% 37.08/37.27 (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.27 inference(modus_ponens,[status(thm)],[1676, 1658])).
% 37.08/37.27 tff(1678,assumption,((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))), introduced(assumption)).
% 37.08/37.27 tff(1679,plain,
% 37.08/37.27 ((member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.08/37.27 inference(tautology,[status(thm)],[])).
% 37.08/37.27 tff(1680,plain,
% 37.08/37.27 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)),
% 37.08/37.27 inference(unit_resolution,[status(thm)],[1679, 1676, 1659])).
% 37.08/37.27 tff(1681,plain,
% 37.08/37.27 ((~((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.28 inference(tautology,[status(thm)],[])).
% 37.08/37.28 tff(1682,plain,
% 37.08/37.28 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.28 inference(unit_resolution,[status(thm)],[1681, 1680, 1678])).
% 37.08/37.28 tff(1683,plain,
% 37.08/37.28 ((member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.28 inference(tautology,[status(thm)],[])).
% 37.08/37.28 tff(1684,plain,
% 37.08/37.28 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.28 inference(unit_resolution,[status(thm)],[1683, 1682])).
% 37.08/37.28 tff(1685,assumption,(~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))), introduced(assumption)).
% 37.08/37.28 tff(1686,plain,
% 37.08/37.28 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.08/37.28 inference(rewrite,[status(thm)],[])).
% 37.08/37.28 tff(1687,plain,
% 37.08/37.28 ((member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.08/37.28 inference(rewrite,[status(thm)],[])).
% 37.08/37.28 tff(1688,plain,
% 37.08/37.28 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.08/37.28 inference(monotonicity,[status(thm)],[1687])).
% 37.08/37.28 tff(1689,plain,
% 37.08/37.28 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.08/37.28 inference(transitivity,[status(thm)],[1688, 1686])).
% 37.08/37.28 tff(1690,plain,
% 37.08/37.28 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.28 inference(quant_inst,[status(thm)],[])).
% 37.08/37.28 tff(1691,plain,
% 37.08/37.28 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.08/37.28 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 37.08/37.28 tff(1692,plain,
% 37.08/37.28 ($false),
% 37.08/37.28 inference(unit_resolution,[status(thm)],[1691, 105, 1685])).
% 37.08/37.28 tff(1693,plain,(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.28 tff(1694,plain,
% 37.08/37.28 ((~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.08/37.28 inference(tautology,[status(thm)],[])).
% 37.08/37.28 tff(1695,plain,
% 37.08/37.28 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.08/37.28 inference(unit_resolution,[status(thm)],[1694, 1693])).
% 37.08/37.28 tff(1696,plain,
% 37.08/37.28 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.28 inference(unit_resolution,[status(thm)],[1695, 1684])).
% 37.08/37.28 tff(1697,plain,
% 37.08/37.28 ($false),
% 37.08/37.28 inference(unit_resolution,[status(thm)],[1696, 1677])).
% 37.08/37.28 tff(1698,plain,(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.29 tff(1699,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1698, 1659, 1675])).
% 37.08/37.29 tff(1700,assumption,(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))), introduced(assumption)).
% 37.08/37.29 tff(1701,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.29 inference(modus_ponens,[status(thm)],[1700, 1657])).
% 37.08/37.29 tff(1702,assumption,(~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))), introduced(assumption)).
% 37.08/37.29 tff(1703,plain,
% 37.08/37.29 ($false),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1702, 1701])).
% 37.08/37.29 tff(1704,plain,(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.29 tff(1705,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1704, 1699])).
% 37.08/37.29 tff(1706,plain,
% 37.08/37.29 ((~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.29 inference(tautology,[status(thm)],[])).
% 37.08/37.29 tff(1707,plain,
% 37.08/37.29 ((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1706, 1693])).
% 37.08/37.29 tff(1708,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1707, 1705])).
% 37.08/37.29 tff(1709,plain,
% 37.08/37.29 ((~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.29 inference(tautology,[status(thm)],[])).
% 37.08/37.29 tff(1710,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1709, 1708, 1660])).
% 37.08/37.29 tff(1711,plain,
% 37.08/37.29 ((member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.08/37.29 inference(tautology,[status(thm)],[])).
% 37.08/37.29 tff(1712,plain,
% 37.08/37.29 (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1711, 1699, 1659])).
% 37.08/37.29 tff(1713,plain,
% 37.08/37.29 (((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2))) <=> ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2))),
% 37.08/37.29 inference(rewrite,[status(thm)],[])).
% 37.08/37.29 tff(1714,plain,
% 37.08/37.29 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2))),
% 37.08/37.29 inference(quant_inst,[status(thm)],[])).
% 37.08/37.29 tff(1715,plain,
% 37.08/37.29 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)),
% 37.08/37.29 inference(modus_ponens,[status(thm)],[1714, 1713])).
% 37.08/37.29 tff(1716,plain,
% 37.08/37.29 ($false),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1715, 566, 1712, 1710])).
% 37.08/37.29 tff(1717,plain,((member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.29 tff(1718,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1717, 1659])).
% 37.08/37.29 tff(1719,assumption,(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), introduced(assumption)).
% 37.08/37.29 tff(1720,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.29 inference(modus_ponens,[status(thm)],[1719, 1662])).
% 37.08/37.29 tff(1721,plain,
% 37.08/37.29 (~(((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1670, 50])).
% 37.08/37.29 tff(1722,assumption,(~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)), introduced(assumption)).
% 37.08/37.29 tff(1723,plain,
% 37.08/37.29 (((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)),
% 37.08/37.29 inference(tautology,[status(thm)],[])).
% 37.08/37.29 tff(1724,plain,
% 37.08/37.29 ((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1723, 1722])).
% 37.08/37.29 tff(1725,plain,
% 37.08/37.29 ((((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | (~((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.29 inference(tautology,[status(thm)],[])).
% 37.08/37.29 tff(1726,plain,
% 37.08/37.29 ((((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1725, 1724])).
% 37.08/37.29 tff(1727,plain,
% 37.08/37.29 (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1726, 1721])).
% 37.08/37.29 tff(1728,plain,
% 37.08/37.29 ($false),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1727, 1720])).
% 37.08/37.29 tff(1729,plain,((~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)), inference(lemma,lemma(discharge,[]))).
% 37.08/37.29 tff(1730,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2)),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1729, 1718])).
% 37.08/37.29 tff(1731,plain,
% 37.08/37.29 (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.08/37.29 inference(unit_resolution,[status(thm)],[1711, 1730, 1659])).
% 37.08/37.29 tff(1732,plain,
% 37.08/37.29 (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.29 inference(modus_ponens,[status(thm)],[1731, 1658])).
% 37.08/37.29 tff(1733,plain,
% 37.08/37.29 ((member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.29 inference(tautology,[status(thm)],[])).
% 37.08/37.29 tff(1734,plain,
% 37.08/37.29 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), difference(union(difference(C!3, D!2), C!3), B!4)) | member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1733, 1718])).
% 37.08/37.30 tff(1735,plain,
% 37.08/37.30 (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(union(difference(C!3, D!2), C!3), B!4), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1695, 1734])).
% 37.08/37.30 tff(1736,plain,
% 37.08/37.30 ($false),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1735, 1732])).
% 37.08/37.30 tff(1737,plain,(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 37.08/37.30 tff(1738,plain,
% 37.08/37.30 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))) | (~((D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))))))),
% 37.08/37.30 inference(quant_inst,[status(thm)],[])).
% 37.08/37.30 tff(1739,plain,
% 37.08/37.30 (~((~((~(D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))) | (~((D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))))))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1738, 28])).
% 37.08/37.30 tff(1740,plain,
% 37.08/37.30 (((~((~(D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | (member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))) | (~((D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))))) | ((D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))))),
% 37.08/37.30 inference(tautology,[status(thm)],[])).
% 37.08/37.30 tff(1741,plain,
% 37.08/37.30 ((D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1740, 1739])).
% 37.08/37.30 tff(1742,plain,
% 37.08/37.30 ((~((D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))))) | (D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.08/37.30 inference(tautology,[status(thm)],[])).
% 37.08/37.30 tff(1743,plain,
% 37.08/37.30 ((D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), D!2) <=> member(tptp_fun_D_0(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1742, 1741])).
% 37.08/37.30 tff(1744,plain,
% 37.08/37.30 (D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1743, 1737])).
% 37.08/37.30 tff(1745,assumption,(~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2)))), introduced(assumption)).
% 37.08/37.30 tff(1746,plain,
% 37.08/37.30 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.08/37.30 inference(monotonicity,[status(thm)],[409])).
% 37.08/37.30 tff(1747,plain,
% 37.08/37.30 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4)),
% 37.08/37.30 inference(symmetry,[status(thm)],[1746])).
% 37.08/37.30 tff(1748,plain,
% 37.08/37.30 ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) <=> (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4))),
% 37.08/37.30 inference(monotonicity,[status(thm)],[1747])).
% 37.08/37.30 tff(1749,plain,
% 37.08/37.30 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2))))),
% 37.08/37.30 inference(quant_inst,[status(thm)],[])).
% 37.08/37.30 tff(1750,plain,
% 37.08/37.30 (~(((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1749, 50])).
% 37.08/37.30 tff(1751,plain,
% 37.08/37.30 (difference(union(B!4, difference(D!2, C!3)), D!2) = difference(B!4, D!2)),
% 37.08/37.30 inference(monotonicity,[status(thm)],[340])).
% 37.08/37.30 tff(1752,plain,
% 37.08/37.30 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))),
% 37.08/37.30 inference(monotonicity,[status(thm)],[1751])).
% 37.08/37.30 tff(1753,plain,
% 37.08/37.30 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2))),
% 37.08/37.30 inference(symmetry,[status(thm)],[1752])).
% 37.08/37.30 tff(1754,plain,
% 37.08/37.30 ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))) <=> (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.08/37.30 inference(monotonicity,[status(thm)],[1753])).
% 37.08/37.30 tff(1755,assumption,(~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))), introduced(assumption)).
% 37.08/37.30 tff(1756,plain,
% 37.08/37.30 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2))),
% 37.08/37.30 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 37.08/37.30 tff(1757,plain,
% 37.08/37.30 ((((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2))) | ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2))),
% 37.08/37.30 inference(tautology,[status(thm)],[])).
% 37.08/37.30 tff(1758,plain,
% 37.08/37.30 ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1757, 1756, 1750])).
% 37.08/37.30 tff(1759,plain,
% 37.08/37.30 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(difference(C!3, D!2), D!2))))),
% 37.08/37.30 inference(quant_inst,[status(thm)],[])).
% 37.08/37.30 tff(1760,plain,
% 37.08/37.30 (~(((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(difference(C!3, D!2), D!2)))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1759, 50])).
% 37.08/37.30 tff(1761,plain,
% 37.08/37.30 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(difference(C!3, D!2), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.08/37.30 inference(monotonicity,[status(thm)],[737])).
% 37.08/37.30 tff(1762,plain,
% 37.08/37.30 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(difference(C!3, D!2), D!2))),
% 37.08/37.30 inference(symmetry,[status(thm)],[1761])).
% 37.08/37.30 tff(1763,plain,
% 37.08/37.30 ((member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))),
% 37.08/37.30 inference(tautology,[status(thm)],[])).
% 37.08/37.30 tff(1764,plain,
% 37.08/37.30 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1763, 1755, 1745])).
% 37.08/37.30 tff(1765,plain,
% 37.08/37.30 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(difference(C!3, D!2), D!2))),
% 37.08/37.30 inference(modus_ponens,[status(thm)],[1764, 1762])).
% 37.08/37.30 tff(1766,plain,
% 37.08/37.30 ((((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(difference(C!3, D!2), D!2))) | (~((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(difference(C!3, D!2), D!2)))),
% 37.08/37.30 inference(tautology,[status(thm)],[])).
% 37.08/37.30 tff(1767,plain,
% 37.08/37.30 (~((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1766, 1765, 1760])).
% 37.08/37.30 tff(1768,plain,
% 37.08/37.30 (((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))),
% 37.08/37.30 inference(tautology,[status(thm)],[])).
% 37.08/37.30 tff(1769,plain,
% 37.08/37.30 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1768, 1767])).
% 37.08/37.30 tff(1770,plain,
% 37.08/37.30 ((~((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.08/37.30 inference(tautology,[status(thm)],[])).
% 37.08/37.30 tff(1771,plain,
% 37.08/37.30 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.08/37.30 inference(unit_resolution,[status(thm)],[1770, 1769, 1758])).
% 37.08/37.30 tff(1772,plain,
% 37.08/37.30 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4)),
% 37.08/37.30 inference(modus_ponens,[status(thm)],[1771, 1748])).
% 37.08/37.30 tff(1773,plain,
% 37.08/37.30 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4) <=> (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))))),
% 37.15/37.31 inference(quant_inst,[status(thm)],[])).
% 37.15/37.31 tff(1774,plain,
% 37.15/37.31 (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4) <=> (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1773, 267])).
% 37.15/37.31 tff(1775,plain,
% 37.15/37.31 (((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3))) <=> ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3))),
% 37.15/37.31 inference(rewrite,[status(thm)],[])).
% 37.15/37.31 tff(1776,plain,
% 37.15/37.31 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3))),
% 37.15/37.31 inference(quant_inst,[status(thm)],[])).
% 37.15/37.31 tff(1777,plain,
% 37.15/37.31 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3)),
% 37.15/37.31 inference(modus_ponens,[status(thm)],[1776, 1775])).
% 37.15/37.31 tff(1778,plain,
% 37.15/37.31 ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3)),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1777, 87])).
% 37.15/37.31 tff(1779,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3)),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1778, 1764])).
% 37.15/37.31 tff(1780,plain,
% 37.15/37.31 ((~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3)) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1781,plain,
% 37.15/37.31 ((~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1780, 1779])).
% 37.15/37.31 tff(1782,plain,
% 37.15/37.31 (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1781, 1769])).
% 37.15/37.31 tff(1783,plain,
% 37.15/37.31 ((member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4) <=> (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4) | (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1784,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4)),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1783, 1782, 1774])).
% 37.15/37.31 tff(1785,plain,
% 37.15/37.31 ($false),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1784, 1772])).
% 37.15/37.31 tff(1786,plain,(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2)) | (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2)))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.31 tff(1787,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1786, 1745])).
% 37.15/37.31 tff(1788,plain,
% 37.15/37.31 ((member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2)))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1789,plain,
% 37.15/37.31 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1788, 1787, 1745])).
% 37.15/37.31 tff(1790,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))),
% 37.15/37.31 inference(monotonicity,[status(thm)],[402])).
% 37.15/37.31 tff(1791,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3)),
% 37.15/37.31 inference(symmetry,[status(thm)],[1790])).
% 37.15/37.31 tff(1792,plain,
% 37.15/37.31 ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))) <=> (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3))),
% 37.15/37.31 inference(monotonicity,[status(thm)],[1791])).
% 37.15/37.31 tff(1793,plain,
% 37.15/37.31 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), D!2))))),
% 37.15/37.31 inference(quant_inst,[status(thm)],[])).
% 37.15/37.31 tff(1794,plain,
% 37.15/37.31 (~(((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), D!2)))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1793, 50])).
% 37.15/37.31 tff(1795,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.15/37.31 inference(monotonicity,[status(thm)],[610])).
% 37.15/37.31 tff(1796,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), D!2))),
% 37.15/37.31 inference(symmetry,[status(thm)],[1795])).
% 37.15/37.31 tff(1797,plain,
% 37.15/37.31 ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))) <=> (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), D!2)))),
% 37.15/37.31 inference(monotonicity,[status(thm)],[1796])).
% 37.15/37.31 tff(1798,assumption,(~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))), introduced(assumption)).
% 37.15/37.31 tff(1799,plain,
% 37.15/37.31 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), D!2))),
% 37.15/37.31 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 37.15/37.31 tff(1800,plain,
% 37.15/37.31 ((((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), D!2))) | ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), D!2))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1801,plain,
% 37.15/37.31 ((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1800, 1799, 1794])).
% 37.15/37.31 tff(1802,assumption,(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))), introduced(assumption)).
% 37.15/37.31 tff(1803,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2))),
% 37.15/37.31 inference(modus_ponens,[status(thm)],[1802, 1753])).
% 37.15/37.31 tff(1804,plain,
% 37.15/37.31 ((((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2))) | (~((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1805,plain,
% 37.15/37.31 (~((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1804, 1803, 1750])).
% 37.15/37.31 tff(1806,plain,
% 37.15/37.31 (((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1807,plain,
% 37.15/37.31 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1806, 1805])).
% 37.15/37.31 tff(1808,plain,
% 37.15/37.31 ((~((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1809,plain,
% 37.15/37.31 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(difference(C!3, D!2), C!3))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1808, 1807, 1801])).
% 37.15/37.31 tff(1810,plain,
% 37.15/37.31 (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3)),
% 37.15/37.31 inference(modus_ponens,[status(thm)],[1809, 1792])).
% 37.15/37.31 tff(1811,plain,
% 37.15/37.31 (((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1812,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1811, 1805])).
% 37.15/37.31 tff(1813,plain,
% 37.15/37.31 (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4)),
% 37.15/37.31 inference(modus_ponens,[status(thm)],[1812, 1747])).
% 37.15/37.31 tff(1814,plain,
% 37.15/37.31 ((member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4) <=> (member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))) | (~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), B!4)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1815,plain,
% 37.15/37.31 (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1814, 1813, 1774])).
% 37.15/37.31 tff(1816,plain,
% 37.15/37.31 ((member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1817,plain,
% 37.15/37.31 ((member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), D!2)) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), C!3)),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1816, 1807])).
% 37.15/37.31 tff(1818,plain,
% 37.15/37.31 ($false),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1817, 1815, 1810])).
% 37.15/37.31 tff(1819,plain,((~member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))) | member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.31 tff(1820,plain,
% 37.15/37.31 ($false),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1819, 1789, 1787])).
% 37.15/37.31 tff(1821,plain,(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.31 tff(1822,plain,
% 37.15/37.31 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(B!4, D!2))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(B!4, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(B!4, D!2)), difference(B!4, D!2))))) | (~((difference(C!3, D!2) = difference(B!4, D!2)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))))))))),
% 37.15/37.31 inference(quant_inst,[status(thm)],[])).
% 37.15/37.31 tff(1823,plain,
% 37.15/37.31 (~((~((~(difference(C!3, D!2) = difference(B!4, D!2))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(B!4, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(B!4, D!2)), difference(B!4, D!2))))) | (~((difference(C!3, D!2) = difference(B!4, D!2)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2)))))))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1822, 28])).
% 37.15/37.31 tff(1824,plain,
% 37.15/37.31 (((~((~(difference(C!3, D!2) = difference(B!4, D!2))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(B!4, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(B!4, D!2)), difference(B!4, D!2))))) | (~((difference(C!3, D!2) = difference(B!4, D!2)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))))))) | ((difference(C!3, D!2) = difference(B!4, D!2)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2)))))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1825,plain,
% 37.15/37.31 ((difference(C!3, D!2) = difference(B!4, D!2)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1824, 1823])).
% 37.15/37.31 tff(1826,plain,
% 37.15/37.31 ((~((difference(C!3, D!2) = difference(B!4, D!2)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2)))))) | (difference(C!3, D!2) = difference(B!4, D!2)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1827,plain,
% 37.15/37.31 ((difference(C!3, D!2) = difference(B!4, D!2)) | (~(member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(B!4, D!2), difference(C!3, D!2)), difference(B!4, D!2))))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1826, 1825])).
% 37.15/37.31 tff(1828,plain,
% 37.15/37.31 (difference(C!3, D!2) = difference(B!4, D!2)),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1827, 1821])).
% 37.15/37.31 tff(1829,plain,
% 37.15/37.31 (difference(B!4, D!2) = difference(C!3, D!2)),
% 37.15/37.31 inference(symmetry,[status(thm)],[1828])).
% 37.15/37.31 tff(1830,assumption,(D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))), introduced(assumption)).
% 37.15/37.31 tff(1831,plain,
% 37.15/37.31 (union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) = D!2),
% 37.15/37.31 inference(symmetry,[status(thm)],[1830])).
% 37.15/37.31 tff(1832,plain,
% 37.15/37.31 (difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) = difference(B!4, D!2)),
% 37.15/37.31 inference(monotonicity,[status(thm)],[340, 1831])).
% 37.15/37.31 tff(1833,plain,
% 37.15/37.31 (difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) = difference(C!3, D!2)),
% 37.15/37.31 inference(transitivity,[status(thm)],[1832, 1829])).
% 37.15/37.31 tff(1834,plain,
% 37.15/37.31 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.15/37.31 inference(monotonicity,[status(thm)],[1833])).
% 37.15/37.31 tff(1835,plain,
% 37.15/37.31 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.15/37.31 inference(symmetry,[status(thm)],[1834])).
% 37.15/37.31 tff(1836,assumption,(~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))), introduced(assumption)).
% 37.15/37.31 tff(1837,plain,
% 37.15/37.31 (((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1838,plain,
% 37.15/37.31 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1837, 1836])).
% 37.15/37.31 tff(1839,plain,
% 37.15/37.31 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.15/37.31 inference(modus_ponens,[status(thm)],[1838, 1835])).
% 37.15/37.31 tff(1840,plain,
% 37.15/37.31 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))))),
% 37.15/37.31 inference(quant_inst,[status(thm)],[])).
% 37.15/37.31 tff(1841,plain,
% 37.15/37.31 (~(((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1840, 50])).
% 37.15/37.31 tff(1842,plain,
% 37.15/37.31 (((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1843,plain,
% 37.15/37.31 (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1842, 1836])).
% 37.15/37.31 tff(1844,plain,
% 37.15/37.31 (((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.31 inference(tautology,[status(thm)],[])).
% 37.15/37.31 tff(1845,plain,
% 37.15/37.31 ((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.15/37.31 inference(unit_resolution,[status(thm)],[1844, 1843])).
% 37.15/37.31 tff(1846,plain,
% 37.15/37.31 ((((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))) | (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.15/37.32 inference(tautology,[status(thm)],[])).
% 37.15/37.32 tff(1847,plain,
% 37.15/37.32 ((((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))) | (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1846, 1845])).
% 37.15/37.32 tff(1848,plain,
% 37.15/37.32 (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1847, 1841])).
% 37.15/37.32 tff(1849,plain,
% 37.15/37.32 ($false),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1848, 1839])).
% 37.15/37.32 tff(1850,plain,(((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | (~(D!2 = union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.32 tff(1851,plain,
% 37.15/37.32 ((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1850, 1744])).
% 37.15/37.32 tff(1852,plain,
% 37.15/37.32 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))))))))),
% 37.15/37.32 inference(rewrite,[status(thm)],[])).
% 37.15/37.32 tff(1853,plain,
% 37.15/37.32 ((~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))))))) <=> (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))))))),
% 37.15/37.32 inference(rewrite,[status(thm)],[])).
% 37.15/37.32 tff(1854,plain,
% 37.15/37.32 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))))))))),
% 37.15/37.32 inference(monotonicity,[status(thm)],[1853])).
% 37.15/37.32 tff(1855,plain,
% 37.15/37.32 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))))))))),
% 37.15/37.32 inference(transitivity,[status(thm)],[1854, 1852])).
% 37.15/37.32 tff(1856,plain,
% 37.15/37.32 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))))))))),
% 37.15/37.32 inference(quant_inst,[status(thm)],[])).
% 37.15/37.32 tff(1857,plain,
% 37.15/37.32 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))))))),
% 37.15/37.32 inference(modus_ponens,[status(thm)],[1856, 1855])).
% 37.15/37.32 tff(1858,plain,
% 37.15/37.32 (~((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))))))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1857, 75])).
% 37.15/37.32 tff(1859,plain,
% 37.15/37.32 (((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))))) | ((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))))),
% 37.15/37.32 inference(tautology,[status(thm)],[])).
% 37.15/37.32 tff(1860,plain,
% 37.15/37.32 ((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1859, 1858])).
% 37.15/37.32 tff(1861,plain,
% 37.15/37.32 ((~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))),
% 37.15/37.32 inference(tautology,[status(thm)],[])).
% 37.15/37.32 tff(1862,plain,
% 37.15/37.32 ((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1861, 1860])).
% 37.15/37.32 tff(1863,plain,
% 37.15/37.32 (subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1862, 1851])).
% 37.15/37.32 tff(1864,plain,
% 37.15/37.32 (((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) | subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))))) | ((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))),
% 37.15/37.32 inference(tautology,[status(thm)],[])).
% 37.15/37.32 tff(1865,plain,
% 37.15/37.32 ((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1864, 1858])).
% 37.15/37.32 tff(1866,plain,
% 37.15/37.32 ((~((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))),
% 37.15/37.32 inference(tautology,[status(thm)],[])).
% 37.15/37.32 tff(1867,plain,
% 37.15/37.32 ((~subset(difference(C!3, D!2), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1866, 1865])).
% 37.15/37.32 tff(1868,plain,
% 37.15/37.32 (![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1867, 1863])).
% 37.15/37.32 tff(1869,plain,
% 37.15/37.32 (((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) <=> ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.32 inference(rewrite,[status(thm)],[])).
% 37.15/37.32 tff(1870,plain,
% 37.15/37.32 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.32 inference(quant_inst,[status(thm)],[])).
% 37.15/37.32 tff(1871,plain,
% 37.15/37.32 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.32 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 37.15/37.32 tff(1872,plain,
% 37.15/37.32 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1871, 1868])).
% 37.15/37.32 tff(1873,plain,
% 37.15/37.32 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1872, 1537])).
% 37.15/37.32 tff(1874,plain,
% 37.15/37.32 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.32 inference(tautology,[status(thm)],[])).
% 37.15/37.32 tff(1875,plain,
% 37.15/37.32 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2))),
% 37.15/37.32 inference(unit_resolution,[status(thm)],[1874, 1873, 1536])).
% 37.15/37.32 tff(1876,plain,
% 37.15/37.32 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.32 inference(modus_ponens,[status(thm)],[1875, 1518])).
% 37.15/37.32 tff(1877,plain,
% 37.15/37.32 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.15/37.32 inference(rewrite,[status(thm)],[])).
% 37.15/37.32 tff(1878,plain,
% 37.15/37.32 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.15/37.32 inference(rewrite,[status(thm)],[])).
% 37.15/37.32 tff(1879,plain,
% 37.15/37.32 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.15/37.33 inference(monotonicity,[status(thm)],[1878])).
% 37.15/37.33 tff(1880,plain,
% 37.15/37.33 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.15/37.33 inference(transitivity,[status(thm)],[1879, 1877])).
% 37.15/37.33 tff(1881,plain,
% 37.15/37.33 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))))),
% 37.15/37.33 inference(quant_inst,[status(thm)],[])).
% 37.15/37.33 tff(1882,plain,
% 37.15/37.33 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.15/37.33 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 37.15/37.33 tff(1883,plain,
% 37.15/37.33 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1882, 105])).
% 37.15/37.33 tff(1884,plain,
% 37.15/37.33 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)))),
% 37.15/37.33 inference(tautology,[status(thm)],[])).
% 37.15/37.33 tff(1885,plain,
% 37.15/37.33 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1884, 1537])).
% 37.15/37.33 tff(1886,plain,
% 37.15/37.33 ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.15/37.33 inference(tautology,[status(thm)],[])).
% 37.15/37.33 tff(1887,plain,
% 37.15/37.33 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1886, 1885, 1883])).
% 37.15/37.33 tff(1888,plain,
% 37.15/37.33 ($false),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1887, 1876])).
% 37.15/37.33 tff(1889,plain,(~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.33 tff(1890,plain,
% 37.15/37.33 (^[B: $i, C: $i] : refl((symmetric_difference(B, C) = symmetric_difference(C, B)) <=> (symmetric_difference(B, C) = symmetric_difference(C, B)))),
% 37.15/37.33 inference(bind,[status(th)],[])).
% 37.15/37.33 tff(1891,plain,
% 37.15/37.33 (![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B)) <=> ![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B))),
% 37.15/37.33 inference(quant_intro,[status(thm)],[1890])).
% 37.15/37.33 tff(1892,plain,
% 37.15/37.33 (![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B)) <=> ![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B))),
% 37.15/37.33 inference(rewrite,[status(thm)],[])).
% 37.15/37.33 tff(1893,axiom,(![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','commutativity_of_symmetric_difference')).
% 37.15/37.33 tff(1894,plain,
% 37.15/37.33 (![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B))),
% 37.15/37.33 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 37.15/37.33 tff(1895,plain,(
% 37.15/37.33 ![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B))),
% 37.15/37.33 inference(skolemize,[status(sab)],[1894])).
% 37.15/37.33 tff(1896,plain,
% 37.15/37.33 (![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B))),
% 37.15/37.33 inference(modus_ponens,[status(thm)],[1895, 1891])).
% 37.15/37.33 tff(1897,plain,
% 37.15/37.33 ((~![B: $i, C: $i] : (symmetric_difference(B, C) = symmetric_difference(C, B))) | (symmetric_difference(D!2, C!3) = symmetric_difference(C!3, D!2))),
% 37.15/37.33 inference(quant_inst,[status(thm)],[])).
% 37.15/37.33 tff(1898,plain,
% 37.15/37.33 (symmetric_difference(D!2, C!3) = symmetric_difference(C!3, D!2)),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1897, 1896])).
% 37.15/37.33 tff(1899,plain,
% 37.15/37.33 ((~![B: $i, C: $i] : (symmetric_difference(B, C) = union(difference(B, C), difference(C, B)))) | (symmetric_difference(D!2, C!3) = union(difference(D!2, C!3), difference(C!3, D!2)))),
% 37.15/37.33 inference(quant_inst,[status(thm)],[])).
% 37.15/37.33 tff(1900,plain,
% 37.15/37.33 (symmetric_difference(D!2, C!3) = union(difference(D!2, C!3), difference(C!3, D!2))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1899, 7])).
% 37.15/37.33 tff(1901,plain,
% 37.15/37.33 (union(difference(D!2, C!3), difference(C!3, D!2)) = symmetric_difference(D!2, C!3)),
% 37.15/37.33 inference(symmetry,[status(thm)],[1900])).
% 37.15/37.33 tff(1902,plain,
% 37.15/37.33 (union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2)) = union(difference(D!2, C!3), difference(C!3, D!2))),
% 37.15/37.33 inference(monotonicity,[status(thm)],[1513])).
% 37.15/37.33 tff(1903,plain,
% 37.15/37.33 (union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2)) = symmetric_difference(C!3, D!2)),
% 37.15/37.33 inference(transitivity,[status(thm)],[1902, 1901, 1898])).
% 37.15/37.33 tff(1904,plain,
% 37.15/37.33 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2))),
% 37.15/37.33 inference(monotonicity,[status(thm)],[1903])).
% 37.15/37.33 tff(1905,plain,
% 37.15/37.33 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2)))) <=> (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)))),
% 37.15/37.33 inference(monotonicity,[status(thm)],[1904])).
% 37.15/37.33 tff(1906,plain,
% 37.15/37.33 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.15/37.33 inference(quant_inst,[status(thm)],[])).
% 37.15/37.33 tff(1907,plain,
% 37.15/37.33 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1906, 105])).
% 37.15/37.33 tff(1908,assumption,(~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), introduced(assumption)).
% 37.15/37.33 tff(1909,assumption,(~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))), introduced(assumption)).
% 37.15/37.33 tff(1910,plain,
% 37.15/37.33 ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.33 inference(tautology,[status(thm)],[])).
% 37.15/37.33 tff(1911,plain,
% 37.15/37.33 (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1910, 1909, 1908])).
% 37.15/37.33 tff(1912,plain,
% 37.15/37.33 ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.33 inference(tautology,[status(thm)],[])).
% 37.15/37.33 tff(1913,plain,
% 37.15/37.33 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(C!3, D!2)))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1912, 1911, 1907])).
% 37.15/37.33 tff(1914,plain,
% 37.15/37.33 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2))),
% 37.15/37.33 inference(modus_ponens,[status(thm)],[1913, 1905])).
% 37.15/37.33 tff(1915,plain,
% 37.15/37.33 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))))),
% 37.15/37.33 inference(quant_inst,[status(thm)],[])).
% 37.15/37.33 tff(1916,plain,
% 37.15/37.33 (~(((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1915, 50])).
% 37.15/37.33 tff(1917,assumption,(~(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))), introduced(assumption)).
% 37.15/37.33 tff(1918,assumption,(~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))), introduced(assumption)).
% 37.15/37.33 tff(1919,plain,
% 37.15/37.33 (union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))) = D!2),
% 37.15/37.33 inference(symmetry,[status(thm)],[1744])).
% 37.15/37.33 tff(1920,plain,
% 37.15/37.33 (difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)) = difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.33 inference(monotonicity,[status(thm)],[1919])).
% 37.15/37.33 tff(1921,plain,
% 37.15/37.33 (difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.15/37.33 inference(transitivity,[status(thm)],[1920, 1505, 1248, 1566, 1565, 1508, 1511])).
% 37.15/37.33 tff(1922,plain,
% 37.15/37.33 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.33 inference(monotonicity,[status(thm)],[1921])).
% 37.15/37.33 tff(1923,plain,
% 37.15/37.33 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.15/37.33 inference(symmetry,[status(thm)],[1922])).
% 37.15/37.33 tff(1924,plain,
% 37.15/37.33 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.15/37.33 inference(quant_inst,[status(thm)],[])).
% 37.15/37.33 tff(1925,plain,
% 37.15/37.33 (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.15/37.33 inference(unit_resolution,[status(thm)],[1924, 50])).
% 37.15/37.33 tff(1926,assumption,(~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))), introduced(assumption)).
% 37.15/37.34 tff(1927,plain,
% 37.15/37.34 ((((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.34 inference(tautology,[status(thm)],[])).
% 37.15/37.34 tff(1928,plain,
% 37.15/37.34 ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.34 inference(unit_resolution,[status(thm)],[1927, 1926, 1925])).
% 37.15/37.34 tff(1929,plain,
% 37.15/37.34 ((member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.34 inference(tautology,[status(thm)],[])).
% 37.15/37.34 tff(1930,plain,
% 37.15/37.34 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.15/37.34 inference(unit_resolution,[status(thm)],[1929, 1926, 1918])).
% 37.15/37.34 tff(1931,plain,
% 37.15/37.34 (((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) <=> ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.34 inference(rewrite,[status(thm)],[])).
% 37.15/37.34 tff(1932,plain,
% 37.15/37.34 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.34 inference(quant_inst,[status(thm)],[])).
% 37.15/37.34 tff(1933,plain,
% 37.15/37.34 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.34 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 37.15/37.34 tff(1934,plain,
% 37.15/37.34 ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.34 inference(unit_resolution,[status(thm)],[1933, 1868])).
% 37.15/37.34 tff(1935,plain,
% 37.15/37.34 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.34 inference(unit_resolution,[status(thm)],[1934, 1930])).
% 37.15/37.34 tff(1936,plain,
% 37.15/37.34 ((~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.34 inference(tautology,[status(thm)],[])).
% 37.15/37.34 tff(1937,plain,
% 37.15/37.34 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.34 inference(unit_resolution,[status(thm)],[1936, 1935, 1928])).
% 37.15/37.34 tff(1938,plain,
% 37.15/37.34 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.15/37.34 inference(modus_ponens,[status(thm)],[1937, 1923])).
% 37.15/37.34 tff(1939,plain,
% 37.15/37.34 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.34 inference(quant_inst,[status(thm)],[])).
% 37.15/37.34 tff(1940,plain,
% 37.15/37.34 (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.34 inference(unit_resolution,[status(thm)],[1939, 50])).
% 37.15/37.34 tff(1941,plain,
% 37.15/37.34 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))))),
% 37.15/37.34 inference(quant_inst,[status(thm)],[])).
% 37.15/37.34 tff(1942,plain,
% 37.15/37.34 (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.15/37.34 inference(unit_resolution,[status(thm)],[1941, 50])).
% 37.15/37.34 tff(1943,plain,
% 37.15/37.34 (difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) = difference(difference(C!3, D!2), D!2)),
% 37.15/37.34 inference(monotonicity,[status(thm)],[1919])).
% 37.15/37.34 tff(1944,plain,
% 37.15/37.34 (difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) = difference(C!3, D!2)),
% 37.15/37.34 inference(transitivity,[status(thm)],[1943, 737])).
% 37.15/37.34 tff(1945,plain,
% 37.15/37.34 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.15/37.34 inference(monotonicity,[status(thm)],[1944])).
% 37.15/37.34 tff(1946,plain,
% 37.15/37.34 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.15/37.34 inference(symmetry,[status(thm)],[1945])).
% 37.15/37.34 tff(1947,plain,
% 37.15/37.34 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.15/37.34 inference(modus_ponens,[status(thm)],[1930, 1946])).
% 37.15/37.34 tff(1948,plain,
% 37.15/37.34 ((((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))) | (~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(difference(C!3, D!2), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.15/37.35 inference(tautology,[status(thm)],[])).
% 37.15/37.35 tff(1949,plain,
% 37.15/37.35 (~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1948, 1947, 1942])).
% 37.15/37.35 tff(1950,plain,
% 37.15/37.35 (((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.15/37.35 inference(tautology,[status(thm)],[])).
% 37.15/37.35 tff(1951,plain,
% 37.15/37.35 (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1950, 1949])).
% 37.15/37.35 tff(1952,plain,
% 37.15/37.35 (((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.15/37.35 inference(tautology,[status(thm)],[])).
% 37.15/37.35 tff(1953,plain,
% 37.15/37.35 ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1952, 1951])).
% 37.15/37.35 tff(1954,plain,
% 37.15/37.35 ((((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.35 inference(tautology,[status(thm)],[])).
% 37.15/37.35 tff(1955,plain,
% 37.15/37.35 (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1954, 1953, 1940])).
% 37.15/37.35 tff(1956,plain,
% 37.15/37.35 ($false),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1955, 1938])).
% 37.15/37.35 tff(1957,plain,(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.35 tff(1958,plain,
% 37.15/37.35 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1957, 1918])).
% 37.15/37.35 tff(1959,plain,
% 37.15/37.35 ((member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.15/37.35 inference(tautology,[status(thm)],[])).
% 37.15/37.35 tff(1960,plain,
% 37.15/37.35 (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1959, 1958, 1918])).
% 37.15/37.35 tff(1961,plain,
% 37.15/37.35 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(D!2, C!3))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.35 inference(quant_inst,[status(thm)],[])).
% 37.15/37.35 tff(1962,plain,
% 37.15/37.35 (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(D!2, C!3))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1961, 50])).
% 37.15/37.35 tff(1963,assumption,(~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))), introduced(assumption)).
% 37.15/37.35 tff(1964,assumption,(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))), introduced(assumption)).
% 37.15/37.35 tff(1965,plain,
% 37.15/37.35 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))),
% 37.15/37.35 inference(tautology,[status(thm)],[])).
% 37.15/37.35 tff(1966,plain,
% 37.15/37.35 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1965, 1964, 1963])).
% 37.15/37.35 tff(1967,plain,
% 37.15/37.35 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))),
% 37.15/37.35 inference(monotonicity,[status(thm)],[860])).
% 37.15/37.35 tff(1968,plain,
% 37.15/37.35 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3)))),
% 37.15/37.35 inference(symmetry,[status(thm)],[1967])).
% 37.15/37.35 tff(1969,plain,
% 37.15/37.35 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) <=> (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))))),
% 37.15/37.35 inference(monotonicity,[status(thm)],[1968])).
% 37.15/37.35 tff(1970,plain,
% 37.15/37.35 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.15/37.35 inference(quant_inst,[status(thm)],[])).
% 37.15/37.35 tff(1971,plain,
% 37.15/37.35 (~(((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1970, 50])).
% 37.15/37.35 tff(1972,assumption,(~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 37.15/37.35 tff(1973,plain,
% 37.15/37.35 ((((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.15/37.35 inference(tautology,[status(thm)],[])).
% 37.15/37.35 tff(1974,plain,
% 37.15/37.35 ((((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.15/37.35 inference(unit_resolution,[status(thm)],[1973, 1972])).
% 37.15/37.35 tff(1975,plain,
% 37.15/37.35 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1974, 1971])).
% 37.15/37.36 tff(1976,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.36 inference(monotonicity,[status(thm)],[526])).
% 37.15/37.36 tff(1977,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 37.15/37.36 inference(symmetry,[status(thm)],[1976])).
% 37.15/37.36 tff(1978,assumption,(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))), introduced(assumption)).
% 37.15/37.36 tff(1979,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 37.15/37.36 inference(modus_ponens,[status(thm)],[1978, 1977])).
% 37.15/37.36 tff(1980,plain,
% 37.15/37.36 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))))),
% 37.15/37.36 inference(quant_inst,[status(thm)],[])).
% 37.15/37.36 tff(1981,plain,
% 37.15/37.36 (~(((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1980, 50])).
% 37.15/37.36 tff(1982,plain,
% 37.15/37.36 (((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))),
% 37.15/37.36 inference(tautology,[status(thm)],[])).
% 37.15/37.36 tff(1983,plain,
% 37.15/37.36 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1982, 1964])).
% 37.15/37.36 tff(1984,plain,
% 37.15/37.36 ((((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 37.15/37.36 inference(tautology,[status(thm)],[])).
% 37.15/37.36 tff(1985,plain,
% 37.15/37.36 ((((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3)))))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1984, 1983])).
% 37.15/37.36 tff(1986,plain,
% 37.15/37.36 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), union(B!4, difference(D!2, C!3))))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1985, 1981])).
% 37.15/37.36 tff(1987,plain,
% 37.15/37.36 ($false),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1986, 1979])).
% 37.15/37.36 tff(1988,plain,((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.36 tff(1989,plain,
% 37.15/37.36 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1988, 1964])).
% 37.15/37.36 tff(1990,plain,
% 37.15/37.36 ((~((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.36 inference(tautology,[status(thm)],[])).
% 37.15/37.36 tff(1991,plain,
% 37.15/37.36 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1990, 1989, 1975])).
% 37.15/37.36 tff(1992,plain,
% 37.15/37.36 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3)))),
% 37.15/37.36 inference(modus_ponens,[status(thm)],[1991, 1969])).
% 37.15/37.36 tff(1993,plain,
% 37.15/37.36 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))))),
% 37.15/37.36 inference(rewrite,[status(thm)],[])).
% 37.15/37.36 tff(1994,plain,
% 37.15/37.36 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))),
% 37.15/37.36 inference(rewrite,[status(thm)],[])).
% 37.15/37.36 tff(1995,plain,
% 37.15/37.36 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2)))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))))),
% 37.15/37.36 inference(monotonicity,[status(thm)],[1994])).
% 37.15/37.36 tff(1996,plain,
% 37.15/37.36 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2)))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))))),
% 37.15/37.36 inference(transitivity,[status(thm)],[1995, 1993])).
% 37.15/37.36 tff(1997,plain,
% 37.15/37.36 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2)))),
% 37.15/37.36 inference(quant_inst,[status(thm)],[])).
% 37.15/37.36 tff(1998,plain,
% 37.15/37.36 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))),
% 37.15/37.36 inference(modus_ponens,[status(thm)],[1997, 1996])).
% 37.15/37.36 tff(1999,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[1998, 105])).
% 37.15/37.36 tff(2000,plain,
% 37.15/37.36 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), B!4) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2))))),
% 37.15/37.36 inference(quant_inst,[status(thm)],[])).
% 37.15/37.36 tff(2001,plain,
% 37.15/37.36 (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), B!4) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2)))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[2000, 267])).
% 37.15/37.36 tff(2002,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), B!4) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))),
% 37.15/37.36 inference(monotonicity,[status(thm)],[409])).
% 37.15/37.36 tff(2003,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), B!4)),
% 37.15/37.36 inference(symmetry,[status(thm)],[2002])).
% 37.15/37.36 tff(2004,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), B!4)),
% 37.15/37.36 inference(modus_ponens,[status(thm)],[1964, 2003])).
% 37.15/37.36 tff(2005,plain,
% 37.15/37.36 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), B!4) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), B!4)) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2)))),
% 37.15/37.36 inference(tautology,[status(thm)],[])).
% 37.15/37.36 tff(2006,plain,
% 37.15/37.36 (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2))),
% 37.15/37.36 inference(unit_resolution,[status(thm)],[2005, 2004, 2001])).
% 37.15/37.36 tff(2007,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3)),
% 37.15/37.36 inference(monotonicity,[status(thm)],[126])).
% 37.15/37.36 tff(2008,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 37.15/37.36 inference(symmetry,[status(thm)],[2007])).
% 37.15/37.36 tff(2009,assumption,(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3)), introduced(assumption)).
% 37.15/37.36 tff(2010,plain,
% 37.15/37.36 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 37.15/37.36 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 37.15/37.36 tff(2011,assumption,(~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))), introduced(assumption)).
% 37.15/37.36 tff(2012,plain,
% 37.15/37.36 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3)))),
% 37.15/37.36 inference(modus_ponens,[status(thm)],[2011, 1969])).
% 37.15/37.36 tff(2013,plain,
% 37.15/37.36 ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2014,plain,
% 37.15/37.37 (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2013, 2012, 1999])).
% 37.15/37.37 tff(2015,plain,
% 37.15/37.37 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3)))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2016,plain,
% 37.15/37.37 ($false),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2015, 2014, 2010])).
% 37.15/37.37 tff(2017,plain,(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3)) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.37 tff(2018,plain,
% 37.15/37.37 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3)),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2017, 1991])).
% 37.15/37.37 tff(2019,plain,
% 37.15/37.37 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), C!3) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2)),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2020,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2)),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2019, 2018, 2006])).
% 37.15/37.37 tff(2021,plain,
% 37.15/37.37 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2022,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2021, 2020])).
% 37.15/37.37 tff(2023,plain,
% 37.15/37.37 ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), D!2) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(difference(C!3, D!2), C!3))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3)))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2013, 2022])).
% 37.15/37.37 tff(2024,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, union(difference(C!3, D!2), C!3)))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2023, 1999])).
% 37.15/37.37 tff(2025,plain,
% 37.15/37.37 ($false),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2024, 1992])).
% 37.15/37.37 tff(2026,plain,((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.37 tff(2027,plain,
% 37.15/37.37 ($false),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2026, 1966, 1964])).
% 37.15/37.37 tff(2028,plain,((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.37 tff(2029,plain,
% 37.15/37.37 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2028, 1963])).
% 37.15/37.37 tff(2030,plain,
% 37.15/37.37 ((union(union(B!4, difference(D!2, C!3)), D!2) = union(D!2, C!3)) <=> (union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.15/37.37 inference(commutativity,[status(thm)],[])).
% 37.15/37.37 tff(2031,plain,
% 37.15/37.37 ((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) <=> (union(union(B!4, difference(D!2, C!3)), D!2) = union(D!2, C!3))),
% 37.15/37.37 inference(symmetry,[status(thm)],[2030])).
% 37.15/37.37 tff(2032,assumption,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))), introduced(assumption)).
% 37.15/37.37 tff(2033,plain,
% 37.15/37.37 ((~![E: $i] : (~(member(E, B!4) <=> (member(E, C!3) <=> member(E, D!2))))) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))))),
% 37.15/37.37 inference(quant_inst,[status(thm)],[])).
% 37.15/37.37 tff(2034,plain,
% 37.15/37.37 ($false),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2033, 267, 2032])).
% 37.15/37.37 tff(2035,plain,(~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.37 tff(2036,assumption,(~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)))), introduced(assumption)).
% 37.15/37.37 tff(2037,assumption,(~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3))), introduced(assumption)).
% 37.15/37.37 tff(2038,assumption,(~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))))), introduced(assumption)).
% 37.15/37.37 tff(2039,plain,
% 37.15/37.37 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))))),
% 37.15/37.37 inference(quant_inst,[status(thm)],[])).
% 37.15/37.37 tff(2040,plain,
% 37.15/37.37 ($false),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2039, 105, 2038])).
% 37.15/37.37 tff(2041,plain,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.37 tff(2042,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3))),
% 37.15/37.37 inference(monotonicity,[status(thm)],[402])).
% 37.15/37.37 tff(2043,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3)),
% 37.15/37.37 inference(symmetry,[status(thm)],[2042])).
% 37.15/37.37 tff(2044,plain,
% 37.15/37.37 ((~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3))) <=> (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3))),
% 37.15/37.37 inference(monotonicity,[status(thm)],[2043])).
% 37.15/37.37 tff(2045,plain,
% 37.15/37.37 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))),
% 37.15/37.37 inference(quant_inst,[status(thm)],[])).
% 37.15/37.37 tff(2046,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2045, 105])).
% 37.15/37.37 tff(2047,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3))),
% 37.15/37.37 inference(monotonicity,[status(thm)],[860])).
% 37.15/37.37 tff(2048,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3)))),
% 37.15/37.37 inference(symmetry,[status(thm)],[2047])).
% 37.15/37.37 tff(2049,plain,
% 37.15/37.37 ((~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3))) <=> (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))))),
% 37.15/37.37 inference(monotonicity,[status(thm)],[2048])).
% 37.15/37.37 tff(2050,plain,
% 37.15/37.37 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3)))),
% 37.15/37.37 inference(modus_ponens,[status(thm)],[2037, 2049])).
% 37.15/37.37 tff(2051,plain,
% 37.15/37.37 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2052,plain,
% 37.15/37.37 (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2051, 2050, 2046])).
% 37.15/37.37 tff(2053,plain,
% 37.15/37.37 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2054,plain,
% 37.15/37.37 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2053, 2052])).
% 37.15/37.37 tff(2055,plain,
% 37.15/37.37 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3)),
% 37.15/37.37 inference(modus_ponens,[status(thm)],[2054, 2044])).
% 37.15/37.37 tff(2056,plain,
% 37.15/37.37 (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2033, 267])).
% 37.15/37.37 tff(2057,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.37 inference(monotonicity,[status(thm)],[409])).
% 37.15/37.37 tff(2058,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4)),
% 37.15/37.37 inference(symmetry,[status(thm)],[2057])).
% 37.15/37.37 tff(2059,assumption,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3))))), introduced(assumption)).
% 37.15/37.37 tff(2060,assumption,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))), introduced(assumption)).
% 37.15/37.37 tff(2061,plain,
% 37.15/37.37 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))))) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))) | (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2062,plain,
% 37.15/37.37 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))))) | (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2061, 2060])).
% 37.15/37.37 tff(2063,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2062, 2059])).
% 37.15/37.37 tff(2064,plain,
% 37.15/37.37 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2065,plain,
% 37.15/37.37 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2064, 2052])).
% 37.15/37.37 tff(2066,plain,
% 37.15/37.37 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3))))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2067,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2066, 2065, 2063])).
% 37.15/37.37 tff(2068,plain,
% 37.15/37.37 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4)),
% 37.15/37.37 inference(modus_ponens,[status(thm)],[2067, 2058])).
% 37.15/37.37 tff(2069,plain,
% 37.15/37.37 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))),
% 37.15/37.37 inference(tautology,[status(thm)],[])).
% 37.15/37.37 tff(2070,plain,
% 37.15/37.37 (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))),
% 37.15/37.37 inference(unit_resolution,[status(thm)],[2069, 2068, 2056])).
% 37.15/37.38 tff(2071,plain,
% 37.15/37.38 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2072,plain,
% 37.15/37.38 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3)),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2071, 2065])).
% 37.15/37.38 tff(2073,plain,
% 37.15/37.38 ($false),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2072, 2070, 2055])).
% 37.15/37.38 tff(2074,plain,((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.38 tff(2075,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2074, 2041])).
% 37.15/37.38 tff(2076,plain,
% 37.15/37.38 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2075, 2037])).
% 37.15/37.38 tff(2077,plain,
% 37.15/37.38 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2078,plain,
% 37.15/37.38 ($false),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2077, 2076, 2037, 2036])).
% 37.15/37.38 tff(2079,plain,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) | (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.38 tff(2080,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2079, 2036])).
% 37.15/37.38 tff(2081,plain,
% 37.15/37.38 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3))) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2082,plain,
% 37.15/37.38 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2081, 2080, 2036])).
% 37.15/37.38 tff(2083,plain,
% 37.15/37.38 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2084,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2083, 2041])).
% 37.15/37.38 tff(2085,plain,
% 37.15/37.38 (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2084, 2082])).
% 37.15/37.38 tff(2086,plain,
% 37.15/37.38 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3))))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2087,plain,
% 37.15/37.38 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2086, 2085])).
% 37.15/37.38 tff(2088,plain,
% 37.15/37.38 ((~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))) <=> (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4))),
% 37.15/37.38 inference(monotonicity,[status(thm)],[2058])).
% 37.15/37.38 tff(2089,assumption,(~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))), introduced(assumption)).
% 37.15/37.38 tff(2090,plain,
% 37.15/37.38 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4)),
% 37.15/37.38 inference(modus_ponens,[status(thm)],[2089, 2088])).
% 37.15/37.38 tff(2091,assumption,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4)), introduced(assumption)).
% 37.15/37.38 tff(2092,plain,
% 37.15/37.38 ($false),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2091, 2090])).
% 37.15/37.38 tff(2093,plain,((~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.38 tff(2094,plain,
% 37.15/37.38 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4)),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2093, 2087])).
% 37.15/37.38 tff(2095,plain,
% 37.15/37.38 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2096,plain,
% 37.15/37.38 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2095, 2085])).
% 37.15/37.38 tff(2097,assumption,(~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))), introduced(assumption)).
% 37.15/37.38 tff(2098,plain,
% 37.15/37.38 ($false),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2045, 105, 2097])).
% 37.15/37.38 tff(2099,plain,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.38 tff(2100,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3)),
% 37.15/37.38 inference(monotonicity,[status(thm)],[126])).
% 37.15/37.38 tff(2101,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3))),
% 37.15/37.38 inference(symmetry,[status(thm)],[2100])).
% 37.15/37.38 tff(2102,plain,
% 37.15/37.38 ((~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3)) <=> (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 37.15/37.38 inference(monotonicity,[status(thm)],[2101])).
% 37.15/37.38 tff(2103,assumption,(~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3)), introduced(assumption)).
% 37.15/37.38 tff(2104,plain,
% 37.15/37.38 (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3))),
% 37.15/37.38 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 37.15/37.38 tff(2105,assumption,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))), introduced(assumption)).
% 37.15/37.38 tff(2106,assumption,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3))), introduced(assumption)).
% 37.15/37.38 tff(2107,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3)))),
% 37.15/37.38 inference(modus_ponens,[status(thm)],[2106, 2048])).
% 37.15/37.38 tff(2108,plain,
% 37.15/37.38 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3)))) | (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2109,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2108, 2107, 2105])).
% 37.15/37.38 tff(2110,assumption,(~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)), introduced(assumption)).
% 37.15/37.38 tff(2111,plain,
% 37.15/37.38 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2112,plain,
% 37.15/37.38 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2111, 2110])).
% 37.15/37.38 tff(2113,plain,
% 37.15/37.38 ($false),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2112, 2109, 2104])).
% 37.15/37.38 tff(2114,plain,((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, union(difference(C!3, D!2), C!3))) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(difference(C!3, D!2), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.38 tff(2115,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2114, 2099])).
% 37.15/37.38 tff(2116,plain,
% 37.15/37.38 (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3)),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2115, 2096, 2080])).
% 37.15/37.38 tff(2117,plain,
% 37.15/37.38 ((~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))) | (~member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3)) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2)),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2118,plain,
% 37.15/37.38 (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2117, 2116, 2096])).
% 37.15/37.38 tff(2119,plain,
% 37.15/37.38 ((member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4) <=> (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))) | member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), B!4) | (member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), C!3) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), D!2))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2120,plain,
% 37.15/37.38 ($false),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2119, 2118, 2094, 2035])).
% 37.15/37.38 tff(2121,plain,(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.38 tff(2122,assumption,((~((~(union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2))) | (member(tptp_fun_D_0(difference(C!3, D!2), union(union(B!4, difference(D!2, C!3)), D!2)), union(D!2, C!3)) <=> member(tptp_fun_D_0(difference(C!3, D!2), union(union(B!4, difference(D!2, C!3)), D!2)), union(union(B!4, difference(D!2, C!3)), D!2))))) | (~((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))))))), introduced(assumption)).
% 37.15/37.38 tff(2123,plain,
% 37.15/37.38 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2))) | (member(tptp_fun_D_0(difference(C!3, D!2), union(union(B!4, difference(D!2, C!3)), D!2)), union(D!2, C!3)) <=> member(tptp_fun_D_0(difference(C!3, D!2), union(union(B!4, difference(D!2, C!3)), D!2)), union(union(B!4, difference(D!2, C!3)), D!2))))) | (~((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))))))))),
% 37.15/37.38 inference(quant_inst,[status(thm)],[])).
% 37.15/37.38 tff(2124,plain,
% 37.15/37.38 ($false),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2123, 28, 2122])).
% 37.15/37.38 tff(2125,plain,(~((~((~(union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2))) | (member(tptp_fun_D_0(difference(C!3, D!2), union(union(B!4, difference(D!2, C!3)), D!2)), union(D!2, C!3)) <=> member(tptp_fun_D_0(difference(C!3, D!2), union(union(B!4, difference(D!2, C!3)), D!2)), union(union(B!4, difference(D!2, C!3)), D!2))))) | (~((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)))))))), inference(lemma,lemma(discharge,[]))).
% 37.15/37.38 tff(2126,plain,
% 37.15/37.38 (((~((~(union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2))) | (member(tptp_fun_D_0(difference(C!3, D!2), union(union(B!4, difference(D!2, C!3)), D!2)), union(D!2, C!3)) <=> member(tptp_fun_D_0(difference(C!3, D!2), union(union(B!4, difference(D!2, C!3)), D!2)), union(union(B!4, difference(D!2, C!3)), D!2))))) | (~((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))))))) | ((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)))))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2127,plain,
% 37.15/37.38 ((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2126, 2125])).
% 37.15/37.38 tff(2128,plain,
% 37.15/37.38 ((~((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2)))))) | (union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))))),
% 37.15/37.38 inference(tautology,[status(thm)],[])).
% 37.15/37.38 tff(2129,plain,
% 37.15/37.38 ((union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(D!2, C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(D!2, C!3)), D!2), union(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), D!2))))),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2128, 2127])).
% 37.15/37.38 tff(2130,plain,
% 37.15/37.38 (union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)),
% 37.15/37.38 inference(unit_resolution,[status(thm)],[2129, 2121])).
% 37.15/37.38 tff(2131,plain,
% 37.15/37.38 (union(union(B!4, difference(D!2, C!3)), D!2) = union(D!2, C!3)),
% 37.15/37.38 inference(modus_ponens,[status(thm)],[2130, 2031])).
% 37.15/37.38 tff(2132,assumption,(~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))), introduced(assumption)).
% 37.15/37.38 tff(2133,plain,
% 37.15/37.38 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.38 inference(monotonicity,[status(thm)],[1223])).
% 37.15/37.38 tff(2134,plain,
% 37.15/37.38 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 37.15/37.39 inference(symmetry,[status(thm)],[2133])).
% 37.15/37.39 tff(2135,assumption,(~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))), introduced(assumption)).
% 37.15/37.39 tff(2136,plain,
% 37.15/37.39 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.39 inference(tautology,[status(thm)],[])).
% 37.15/37.39 tff(2137,plain,
% 37.15/37.39 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.15/37.39 inference(unit_resolution,[status(thm)],[2136, 2135, 2132])).
% 37.15/37.39 tff(2138,plain,
% 37.15/37.39 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 37.23/37.39 inference(modus_ponens,[status(thm)],[2137, 2134])).
% 37.23/37.39 tff(2139,plain,
% 37.23/37.39 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))))),
% 37.23/37.39 inference(quant_inst,[status(thm)],[])).
% 37.23/37.39 tff(2140,plain,
% 37.23/37.39 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2139, 50])).
% 37.23/37.39 tff(2141,plain,
% 37.23/37.39 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))),
% 37.23/37.39 inference(quant_inst,[status(thm)],[])).
% 37.23/37.39 tff(2142,plain,
% 37.23/37.39 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2141, 50])).
% 37.23/37.39 tff(2143,plain,
% 37.23/37.39 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))),
% 37.23/37.39 inference(tautology,[status(thm)],[])).
% 37.23/37.39 tff(2144,plain,
% 37.23/37.39 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2143, 2135, 2142])).
% 37.23/37.39 tff(2145,plain,
% 37.23/37.39 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.39 inference(tautology,[status(thm)],[])).
% 37.23/37.39 tff(2146,plain,
% 37.23/37.39 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2145, 2137, 2144])).
% 37.23/37.39 tff(2147,plain,
% 37.23/37.39 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.39 inference(tautology,[status(thm)],[])).
% 37.23/37.39 tff(2148,plain,
% 37.23/37.39 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2147, 2146])).
% 37.23/37.39 tff(2149,plain,
% 37.23/37.39 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 37.23/37.39 inference(tautology,[status(thm)],[])).
% 37.23/37.39 tff(2150,plain,
% 37.23/37.39 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2149, 2148, 2140])).
% 37.23/37.39 tff(2151,plain,
% 37.23/37.39 ($false),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2150, 2138])).
% 37.23/37.39 tff(2152,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.39 tff(2153,plain,
% 37.23/37.39 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2152, 2132])).
% 37.23/37.39 tff(2154,plain,
% 37.23/37.39 ((member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.39 inference(tautology,[status(thm)],[])).
% 37.23/37.39 tff(2155,plain,
% 37.23/37.39 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2154, 2153, 2132])).
% 37.23/37.39 tff(2156,plain,
% 37.23/37.39 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.39 inference(tautology,[status(thm)],[])).
% 37.23/37.39 tff(2157,plain,
% 37.23/37.39 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2156, 2153, 2142])).
% 37.23/37.39 tff(2158,plain,
% 37.23/37.39 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.39 inference(tautology,[status(thm)],[])).
% 37.23/37.39 tff(2159,plain,
% 37.23/37.39 ($false),
% 37.23/37.39 inference(unit_resolution,[status(thm)],[2158, 2157, 2155])).
% 37.23/37.39 tff(2160,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.39 tff(2161,plain,
% 37.23/37.39 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.23/37.39 inference(rewrite,[status(thm)],[])).
% 37.23/37.39 tff(2162,plain,
% 37.23/37.39 ((~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))))))) <=> (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.23/37.40 inference(rewrite,[status(thm)],[])).
% 37.23/37.40 tff(2163,plain,
% 37.23/37.40 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.23/37.40 inference(monotonicity,[status(thm)],[2162])).
% 37.23/37.40 tff(2164,plain,
% 37.23/37.40 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.23/37.40 inference(transitivity,[status(thm)],[2163, 2161])).
% 37.23/37.40 tff(2165,plain,
% 37.23/37.40 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))))))))),
% 37.23/37.40 inference(quant_inst,[status(thm)],[])).
% 37.23/37.40 tff(2166,plain,
% 37.23/37.40 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.23/37.40 inference(modus_ponens,[status(thm)],[2165, 2164])).
% 37.23/37.40 tff(2167,plain,
% 37.23/37.40 (~((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.23/37.40 inference(unit_resolution,[status(thm)],[2166, 28])).
% 37.23/37.40 tff(2168,plain,
% 37.23/37.40 (((~((~(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(difference(C!3, D!2), C!3), B!4))))) | (~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))))) | ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.40 inference(tautology,[status(thm)],[])).
% 37.23/37.40 tff(2169,plain,
% 37.23/37.40 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.40 inference(unit_resolution,[status(thm)],[2168, 2167])).
% 37.23/37.40 tff(2170,plain,
% 37.23/37.40 ((~((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)))) | (~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.40 inference(tautology,[status(thm)],[])).
% 37.23/37.40 tff(2171,plain,
% 37.23/37.40 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.40 inference(unit_resolution,[status(thm)],[2170, 2169])).
% 37.23/37.40 tff(2172,plain,
% 37.23/37.40 (difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 37.23/37.40 inference(unit_resolution,[status(thm)],[2171, 2160])).
% 37.23/37.40 tff(2173,assumption,(~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)))), introduced(assumption)).
% 37.23/37.40 tff(2174,plain,
% 37.23/37.40 (((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.40 inference(tautology,[status(thm)],[])).
% 37.23/37.40 tff(2175,plain,
% 37.23/37.40 (member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.40 inference(unit_resolution,[status(thm)],[2174, 2173])).
% 37.23/37.40 tff(2176,plain,
% 37.23/37.40 (((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))) | (~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.23/37.41 inference(tautology,[status(thm)],[])).
% 37.23/37.41 tff(2177,plain,
% 37.23/37.41 (~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2176, 2173])).
% 37.23/37.41 tff(2178,assumption,(member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))), introduced(assumption)).
% 37.23/37.41 tff(2179,plain,
% 37.23/37.41 (((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))) <=> ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 37.23/37.41 inference(rewrite,[status(thm)],[])).
% 37.23/37.41 tff(2180,plain,
% 37.23/37.41 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 37.23/37.41 inference(quant_inst,[status(thm)],[])).
% 37.23/37.41 tff(2181,plain,
% 37.23/37.41 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, D!2))) | (~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)),
% 37.23/37.41 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 37.23/37.41 tff(2182,plain,
% 37.23/37.41 (member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2)),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2181, 566, 2178])).
% 37.23/37.41 tff(2183,plain,
% 37.23/37.41 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.41 inference(quant_inst,[status(thm)],[])).
% 37.23/37.41 tff(2184,plain,
% 37.23/37.41 (member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3))))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2183, 105])).
% 37.23/37.41 tff(2185,assumption,(~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))), introduced(assumption)).
% 37.23/37.41 tff(2186,plain,
% 37.23/37.41 ((~(member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)) | (~(member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.41 inference(tautology,[status(thm)],[])).
% 37.23/37.41 tff(2187,plain,
% 37.23/37.41 ((~(member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))))) | (~(member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2186, 2185])).
% 37.23/37.41 tff(2188,plain,
% 37.23/37.41 (~(member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3))))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2187, 2184])).
% 37.23/37.41 tff(2189,plain,
% 37.23/37.41 ((member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), D!2))),
% 37.23/37.41 inference(tautology,[status(thm)],[])).
% 37.23/37.41 tff(2190,plain,
% 37.23/37.41 ($false),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2189, 2188, 2182])).
% 37.23/37.41 tff(2191,plain,((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.41 tff(2192,plain,
% 37.23/37.41 ($false),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2191, 2177, 2175])).
% 37.23/37.41 tff(2193,plain,((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.41 tff(2194,plain,
% 37.23/37.41 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2))))) | (~(subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))))))))),
% 37.23/37.41 inference(quant_inst,[status(thm)],[])).
% 37.23/37.41 tff(2195,plain,
% 37.23/37.41 (~((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2))))) | (~(subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)))))))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2194, 75])).
% 37.23/37.41 tff(2196,plain,
% 37.23/37.41 (((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2))))) | (~(subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))))))) | (subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)))))),
% 37.23/37.41 inference(tautology,[status(thm)],[])).
% 37.23/37.41 tff(2197,plain,
% 37.23/37.41 (subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2196, 2195])).
% 37.23/37.41 tff(2198,plain,
% 37.23/37.41 ((~(subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2)))))) | subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))))),
% 37.23/37.41 inference(tautology,[status(thm)],[])).
% 37.23/37.41 tff(2199,plain,
% 37.23/37.41 (subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2198, 2197])).
% 37.23/37.41 tff(2200,plain,
% 37.23/37.41 (subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2199, 2193])).
% 37.23/37.41 tff(2201,plain,
% 37.23/37.41 (((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2))))) | (~(subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2)) | (~((~member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_1(union(union(B!4, difference(D!2, C!3)), D!2), difference(union(difference(C!3, D!2), C!3), B!4)), union(union(B!4, difference(D!2, C!3)), D!2))))))) | ((~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2))))),
% 37.23/37.41 inference(tautology,[status(thm)],[])).
% 37.23/37.41 tff(2202,plain,
% 37.23/37.41 ((~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2201, 2195])).
% 37.23/37.41 tff(2203,plain,
% 37.23/37.41 ((~((~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2))))) | (~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.23/37.41 inference(tautology,[status(thm)],[])).
% 37.23/37.41 tff(2204,plain,
% 37.23/37.41 ((~subset(difference(union(difference(C!3, D!2), C!3), B!4), union(union(B!4, difference(D!2, C!3)), D!2))) | ![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2203, 2202])).
% 37.23/37.41 tff(2205,plain,
% 37.23/37.41 (![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2204, 2200])).
% 37.23/37.41 tff(2206,plain,
% 37.23/37.41 (tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) = tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))),
% 37.23/37.41 inference(monotonicity,[status(thm)],[2172])).
% 37.23/37.41 tff(2207,plain,
% 37.23/37.41 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.41 inference(monotonicity,[status(thm)],[2206, 2172])).
% 37.23/37.41 tff(2208,assumption,(~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))))), introduced(assumption)).
% 37.23/37.41 tff(2209,plain,
% 37.23/37.41 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))))),
% 37.23/37.41 inference(quant_inst,[status(thm)],[])).
% 37.23/37.41 tff(2210,plain,
% 37.23/37.41 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 37.23/37.41 inference(unit_resolution,[status(thm)],[2209, 50])).
% 37.23/37.41 tff(2211,plain,
% 37.23/37.41 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.41 inference(monotonicity,[status(thm)],[1223])).
% 37.23/37.41 tff(2212,plain,
% 37.23/37.41 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 37.23/37.41 inference(symmetry,[status(thm)],[2211])).
% 37.23/37.41 tff(2213,plain,
% 37.23/37.41 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 37.23/37.41 inference(transitivity,[status(thm)],[2207, 2212])).
% 37.23/37.41 tff(2214,plain,
% 37.23/37.41 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 37.23/37.42 inference(monotonicity,[status(thm)],[2213])).
% 37.23/37.42 tff(2215,assumption,(~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))), introduced(assumption)).
% 37.23/37.42 tff(2216,plain,
% 37.23/37.42 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 37.23/37.42 tff(2217,plain,
% 37.23/37.42 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(tautology,[status(thm)],[])).
% 37.23/37.42 tff(2218,plain,
% 37.23/37.42 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2217, 2216, 2210])).
% 37.23/37.42 tff(2219,plain,
% 37.23/37.42 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))))),
% 37.23/37.42 inference(quant_inst,[status(thm)],[])).
% 37.23/37.42 tff(2220,plain,
% 37.23/37.42 (~(((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2219, 50])).
% 37.23/37.42 tff(2221,plain,
% 37.23/37.42 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(monotonicity,[status(thm)],[2206])).
% 37.23/37.42 tff(2222,plain,
% 37.23/37.42 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(tautology,[status(thm)],[])).
% 37.23/37.42 tff(2223,plain,
% 37.23/37.42 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2222, 2215, 2208])).
% 37.23/37.42 tff(2224,plain,
% 37.23/37.42 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(modus_ponens,[status(thm)],[2223, 2221])).
% 37.23/37.42 tff(2225,plain,
% 37.23/37.42 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.42 inference(tautology,[status(thm)],[])).
% 37.23/37.42 tff(2226,plain,
% 37.23/37.42 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2225, 2224, 2220])).
% 37.23/37.42 tff(2227,plain,
% 37.23/37.42 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(tautology,[status(thm)],[])).
% 37.23/37.42 tff(2228,plain,
% 37.23/37.42 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2227, 2226])).
% 37.23/37.42 tff(2229,assumption,(~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))))), introduced(assumption)).
% 37.23/37.42 tff(2230,plain,
% 37.23/37.42 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.42 inference(quant_inst,[status(thm)],[])).
% 37.23/37.42 tff(2231,plain,
% 37.23/37.42 ($false),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2230, 105, 2229])).
% 37.23/37.42 tff(2232,plain,(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.42 tff(2233,plain,
% 37.23/37.42 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.23/37.42 inference(tautology,[status(thm)],[])).
% 37.23/37.42 tff(2234,plain,
% 37.23/37.42 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2233, 2226])).
% 37.23/37.42 tff(2235,plain,
% 37.23/37.42 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2)) <=> (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(tautology,[status(thm)],[])).
% 37.23/37.42 tff(2236,plain,
% 37.23/37.42 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2235, 2234, 2232])).
% 37.23/37.42 tff(2237,plain,
% 37.23/37.42 ((~(member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.42 inference(tautology,[status(thm)],[])).
% 37.23/37.42 tff(2238,plain,
% 37.23/37.42 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2237, 2228, 2236])).
% 37.23/37.42 tff(2239,plain,
% 37.23/37.42 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.42 inference(tautology,[status(thm)],[])).
% 37.23/37.42 tff(2240,plain,
% 37.23/37.42 ($false),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2239, 2238, 2228, 2218])).
% 37.23/37.42 tff(2241,plain,(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.42 tff(2242,plain,
% 37.23/37.42 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))),
% 37.23/37.42 inference(unit_resolution,[status(thm)],[2241, 2208])).
% 37.23/37.42 tff(2243,plain,
% 37.23/37.42 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.42 inference(modus_ponens,[status(thm)],[2242, 2207])).
% 37.23/37.42 tff(2244,assumption,(![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))), introduced(assumption)).
% 37.23/37.42 tff(2245,plain,
% 37.23/37.42 (((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2)))) <=> ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.23/37.42 inference(rewrite,[status(thm)],[])).
% 37.23/37.42 tff(2246,plain,
% 37.23/37.42 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2)))),
% 37.23/37.43 inference(quant_inst,[status(thm)],[])).
% 37.23/37.43 tff(2247,plain,
% 37.23/37.43 ((~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.23/37.43 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 37.23/37.43 tff(2248,plain,
% 37.23/37.43 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2247, 2244])).
% 37.23/37.43 tff(2249,plain,
% 37.23/37.43 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2248, 2243])).
% 37.23/37.43 tff(2250,plain,
% 37.23/37.43 ((~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))) <=> (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.43 inference(monotonicity,[status(thm)],[2221])).
% 37.23/37.43 tff(2251,plain,
% 37.23/37.43 ((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.43 inference(tautology,[status(thm)],[])).
% 37.23/37.43 tff(2252,plain,
% 37.23/37.43 (~member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2251, 2242, 2208])).
% 37.23/37.43 tff(2253,plain,
% 37.23/37.43 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))),
% 37.23/37.43 inference(modus_ponens,[status(thm)],[2252, 2250])).
% 37.23/37.43 tff(2254,plain,
% 37.23/37.43 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))))),
% 37.23/37.43 inference(tautology,[status(thm)],[])).
% 37.23/37.43 tff(2255,plain,
% 37.23/37.43 ((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2254, 2253, 2220])).
% 37.23/37.43 tff(2256,plain,
% 37.23/37.43 (member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))),
% 37.23/37.43 inference(modus_ponens,[status(thm)],[2242, 2213])).
% 37.23/37.43 tff(2257,plain,
% 37.23/37.43 ((((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3))))) | (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(D!2, union(B!4, difference(D!2, C!3)))))),
% 37.23/37.43 inference(tautology,[status(thm)],[])).
% 37.23/37.43 tff(2258,plain,
% 37.23/37.43 (~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2257, 2256, 2210])).
% 37.23/37.43 tff(2259,plain,
% 37.23/37.43 (((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), D!2)) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.43 inference(tautology,[status(thm)],[])).
% 37.23/37.43 tff(2260,plain,
% 37.23/37.43 (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2259, 2258])).
% 37.23/37.43 tff(2261,plain,
% 37.23/37.43 ((~((~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(union(B!4, difference(D!2, C!3)), D!2))) | member(tptp_fun_D_0(difference(union(difference(C!3, D!2), C!3), B!4), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.43 inference(tautology,[status(thm)],[])).
% 37.23/37.43 tff(2262,plain,
% 37.23/37.43 ($false),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2261, 2260, 2255, 2249])).
% 37.23/37.43 tff(2263,plain,((member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | (~![D: $i] : ((~member(D, difference(union(difference(C!3, D!2), C!3), B!4))) | member(D, union(union(B!4, difference(D!2, C!3)), D!2))))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.43 tff(2264,plain,
% 37.23/37.43 (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2263, 2205])).
% 37.23/37.43 tff(2265,plain,
% 37.23/37.43 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))) | (~((difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))))))),
% 37.23/37.43 inference(quant_inst,[status(thm)],[])).
% 37.23/37.43 tff(2266,plain,
% 37.23/37.43 (~((~((~(difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))) | (~((difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))))))))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2265, 28])).
% 37.23/37.43 tff(2267,plain,
% 37.23/37.43 (((~((~(difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))) | (member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(C!3, D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))) | (~((difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))))) | ((difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))))))),
% 37.23/37.43 inference(tautology,[status(thm)],[])).
% 37.23/37.43 tff(2268,plain,
% 37.23/37.43 ((difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))),
% 37.23/37.43 inference(unit_resolution,[status(thm)],[2267, 2266])).
% 37.23/37.43 tff(2269,plain,
% 37.23/37.43 ((~((difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))))))) | (difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))),
% 37.23/37.44 inference(tautology,[status(thm)],[])).
% 37.23/37.44 tff(2270,plain,
% 37.23/37.44 ((difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))) | (~(member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))), difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))), difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3))))))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2269, 2268])).
% 37.23/37.44 tff(2271,plain,
% 37.23/37.44 (difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3))) = difference(difference(union(difference(C!3, D!2), C!3), B!4), union(B!4, difference(D!2, C!3)))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2270, 2264])).
% 37.23/37.44 tff(2272,assumption,(union(union(B!4, difference(D!2, C!3)), D!2) = union(D!2, C!3)), introduced(assumption)).
% 37.23/37.44 tff(2273,plain,
% 37.23/37.44 (union(D!2, C!3) = union(union(B!4, difference(D!2, C!3)), D!2)),
% 37.23/37.44 inference(symmetry,[status(thm)],[2272])).
% 37.23/37.44 tff(2274,plain,
% 37.23/37.44 (difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))) = difference(union(union(B!4, difference(D!2, C!3)), D!2), union(B!4, difference(D!2, C!3)))),
% 37.23/37.44 inference(monotonicity,[status(thm)],[2273])).
% 37.23/37.44 tff(2275,plain,
% 37.23/37.44 (difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))) = difference(union(difference(C!3, D!2), C!3), B!4)),
% 37.23/37.44 inference(transitivity,[status(thm)],[2274, 2271, 2172])).
% 37.23/37.44 tff(2276,plain,
% 37.23/37.44 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.44 inference(monotonicity,[status(thm)],[2275])).
% 37.23/37.44 tff(2277,plain,
% 37.23/37.44 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(symmetry,[status(thm)],[2276])).
% 37.23/37.44 tff(2278,plain,
% 37.23/37.44 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.44 inference(monotonicity,[status(thm)],[2277])).
% 37.23/37.44 tff(2279,assumption,(~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))), introduced(assumption)).
% 37.23/37.44 tff(2280,plain,
% 37.23/37.44 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.44 inference(tautology,[status(thm)],[])).
% 37.23/37.44 tff(2281,plain,
% 37.23/37.44 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2280, 2279, 1963])).
% 37.23/37.44 tff(2282,plain,
% 37.23/37.44 ((((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.23/37.44 inference(tautology,[status(thm)],[])).
% 37.23/37.44 tff(2283,plain,
% 37.23/37.44 (~((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2282, 2281, 1971])).
% 37.23/37.44 tff(2284,plain,
% 37.23/37.44 (((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.44 inference(tautology,[status(thm)],[])).
% 37.23/37.44 tff(2285,plain,
% 37.23/37.44 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2284, 2283])).
% 37.23/37.44 tff(2286,plain,
% 37.23/37.44 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(modus_ponens,[status(thm)],[2285, 2278])).
% 37.23/37.44 tff(2287,plain,
% 37.23/37.44 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))))))),
% 37.23/37.44 inference(quant_inst,[status(thm)],[])).
% 37.23/37.44 tff(2288,plain,
% 37.23/37.44 (~(((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3)))))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2287, 50])).
% 37.23/37.44 tff(2289,plain,
% 37.23/37.44 (((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))),
% 37.23/37.44 inference(tautology,[status(thm)],[])).
% 37.23/37.44 tff(2290,plain,
% 37.23/37.44 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2289, 2283])).
% 37.23/37.44 tff(2291,plain,
% 37.23/37.44 ((~((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))),
% 37.23/37.44 inference(tautology,[status(thm)],[])).
% 37.23/37.44 tff(2292,plain,
% 37.23/37.44 (~((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2291, 2279, 2290])).
% 37.23/37.44 tff(2293,plain,
% 37.23/37.44 ((((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(tautology,[status(thm)],[])).
% 37.23/37.44 tff(2294,plain,
% 37.23/37.44 ((((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(D!2, C!3))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2293, 2292])).
% 37.23/37.44 tff(2295,plain,
% 37.23/37.44 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2294, 2288])).
% 37.23/37.44 tff(2296,plain,
% 37.23/37.44 ($false),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2295, 2286])).
% 37.23/37.44 tff(2297,plain,(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))) | (~(union(union(B!4, difference(D!2, C!3)), D!2) = union(D!2, C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.44 tff(2298,plain,
% 37.23/37.44 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))) | (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2297, 2131])).
% 37.23/37.44 tff(2299,plain,
% 37.23/37.44 ($false),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2298, 2029, 1963])).
% 37.23/37.44 tff(2300,plain,(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.44 tff(2301,plain,
% 37.23/37.44 (((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))) | (difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(B!4, difference(D!2, C!3))))) <=> ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))) | (difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(rewrite,[status(thm)],[])).
% 37.23/37.44 tff(2302,plain,
% 37.23/37.44 ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))) | (difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(B!4, difference(D!2, C!3))))),
% 37.23/37.44 inference(quant_inst,[status(thm)],[])).
% 37.23/37.44 tff(2303,plain,
% 37.23/37.44 ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | (~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))) | (difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(B!4, difference(D!2, C!3)))),
% 37.23/37.44 inference(modus_ponens,[status(thm)],[2302, 2301])).
% 37.23/37.44 tff(2304,plain,
% 37.23/37.44 ((~(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))) | (difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(B!4, difference(D!2, C!3)))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2303, 779])).
% 37.23/37.44 tff(2305,plain,
% 37.23/37.44 (difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)) = union(B!4, difference(D!2, C!3))),
% 37.23/37.44 inference(unit_resolution,[status(thm)],[2304, 2300])).
% 37.23/37.44 tff(2306,plain,
% 37.23/37.44 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.23/37.44 inference(monotonicity,[status(thm)],[2305])).
% 37.23/37.44 tff(2307,plain,
% 37.23/37.44 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.44 inference(symmetry,[status(thm)],[2306])).
% 37.23/37.44 tff(2308,assumption,(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))), introduced(assumption)).
% 37.23/37.44 tff(2309,plain,
% 37.23/37.44 ((((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.23/37.45 inference(tautology,[status(thm)],[])).
% 37.23/37.45 tff(2310,plain,
% 37.23/37.45 ((((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.23/37.45 inference(unit_resolution,[status(thm)],[2309, 2308])).
% 37.23/37.45 tff(2311,plain,
% 37.23/37.45 (~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.23/37.45 inference(unit_resolution,[status(thm)],[2310, 1925])).
% 37.23/37.45 tff(2312,plain,
% 37.23/37.45 (((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.23/37.45 inference(tautology,[status(thm)],[])).
% 37.23/37.45 tff(2313,plain,
% 37.23/37.45 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.23/37.45 inference(unit_resolution,[status(thm)],[2312, 2311])).
% 37.23/37.45 tff(2314,plain,
% 37.23/37.45 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.45 inference(modus_ponens,[status(thm)],[2313, 2307])).
% 37.23/37.45 tff(2315,plain,
% 37.23/37.45 ((((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(D!2, C!3))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(D!2, C!3))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.23/37.45 inference(tautology,[status(thm)],[])).
% 37.23/37.45 tff(2316,plain,
% 37.23/37.45 (~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(D!2, C!3))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.45 inference(unit_resolution,[status(thm)],[2315, 2314, 1962])).
% 37.23/37.45 tff(2317,plain,
% 37.23/37.45 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))))),
% 37.23/37.45 inference(quant_inst,[status(thm)],[])).
% 37.23/37.45 tff(2318,plain,
% 37.23/37.45 (~(((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.23/37.45 inference(unit_resolution,[status(thm)],[2317, 50])).
% 37.23/37.45 tff(2319,plain,
% 37.23/37.45 (difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) = difference(B!4, D!2)),
% 37.23/37.45 inference(monotonicity,[status(thm)],[340, 1919])).
% 37.23/37.45 tff(2320,plain,
% 37.23/37.45 (difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))) = difference(C!3, D!2)),
% 37.23/37.45 inference(transitivity,[status(thm)],[2319, 1829])).
% 37.23/37.45 tff(2321,plain,
% 37.23/37.45 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))),
% 37.23/37.45 inference(monotonicity,[status(thm)],[2320])).
% 37.23/37.45 tff(2322,plain,
% 37.23/37.45 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.23/37.45 inference(symmetry,[status(thm)],[2321])).
% 37.23/37.45 tff(2323,plain,
% 37.23/37.45 ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))) <=> (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))))),
% 37.23/37.45 inference(monotonicity,[status(thm)],[2322])).
% 37.23/37.45 tff(2324,assumption,(~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))), introduced(assumption)).
% 37.23/37.45 tff(2325,plain,
% 37.23/37.45 (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.23/37.45 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 37.23/37.45 tff(2326,plain,
% 37.23/37.45 ((((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))) | ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))),
% 37.23/37.45 inference(tautology,[status(thm)],[])).
% 37.23/37.45 tff(2327,plain,
% 37.23/37.45 ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.23/37.45 inference(unit_resolution,[status(thm)],[2326, 2325, 2318])).
% 37.23/37.45 tff(2328,plain,
% 37.23/37.45 ((~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3)))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.23/37.45 inference(tautology,[status(thm)],[])).
% 37.23/37.45 tff(2329,plain,
% 37.23/37.45 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))),
% 37.23/37.45 inference(unit_resolution,[status(thm)],[2328, 2327, 2313])).
% 37.23/37.45 tff(2330,plain,
% 37.23/37.45 ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.23/37.46 inference(monotonicity,[status(thm)],[1923])).
% 37.23/37.46 tff(2331,plain,
% 37.23/37.46 (((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.23/37.46 inference(tautology,[status(thm)],[])).
% 37.23/37.46 tff(2332,plain,
% 37.23/37.46 (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.23/37.46 inference(unit_resolution,[status(thm)],[2331, 2311])).
% 37.23/37.46 tff(2333,plain,
% 37.23/37.46 (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.46 inference(modus_ponens,[status(thm)],[2332, 2330])).
% 37.23/37.46 tff(2334,plain,
% 37.23/37.46 ((((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)))) | ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.46 inference(tautology,[status(thm)],[])).
% 37.23/37.46 tff(2335,plain,
% 37.23/37.46 ((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.46 inference(unit_resolution,[status(thm)],[2334, 2333, 1940])).
% 37.23/37.46 tff(2336,plain,
% 37.23/37.46 ((~((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(difference(difference(D!2, C!3), difference(union(difference(C!3, D!2), C!3), B!4)), difference(difference(union(difference(C!3, D!2), C!3), B!4), difference(D!2, C!3))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.46 inference(tautology,[status(thm)],[])).
% 37.23/37.46 tff(2337,plain,
% 37.23/37.46 (member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))),
% 37.23/37.46 inference(unit_resolution,[status(thm)],[2336, 2335, 2329])).
% 37.23/37.46 tff(2338,plain,
% 37.23/37.46 (((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), union(D!2, C!3))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4))) | (~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.23/37.46 inference(tautology,[status(thm)],[])).
% 37.23/37.46 tff(2339,plain,
% 37.23/37.46 ($false),
% 37.23/37.46 inference(unit_resolution,[status(thm)],[2338, 2337, 2316])).
% 37.23/37.46 tff(2340,plain,((~member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.46 tff(2341,plain,
% 37.23/37.46 ($false),
% 37.23/37.46 inference(unit_resolution,[status(thm)],[2340, 1960, 1958])).
% 37.23/37.46 tff(2342,plain,(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))), inference(lemma,lemma(discharge,[]))).
% 37.23/37.46 tff(2343,plain,
% 37.23/37.46 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))))))),
% 37.23/37.46 inference(rewrite,[status(thm)],[])).
% 37.23/37.46 tff(2344,plain,
% 37.23/37.46 ((~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))))))) <=> (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))))),
% 37.23/37.46 inference(rewrite,[status(thm)],[])).
% 37.23/37.46 tff(2345,plain,
% 37.23/37.46 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))))))),
% 37.23/37.46 inference(monotonicity,[status(thm)],[2344])).
% 37.23/37.46 tff(2346,plain,
% 37.23/37.46 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))))))),
% 37.23/37.47 inference(transitivity,[status(thm)],[2345, 2343])).
% 37.23/37.47 tff(2347,plain,
% 37.23/37.47 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))))))),
% 37.23/37.47 inference(quant_inst,[status(thm)],[])).
% 37.23/37.47 tff(2348,plain,
% 37.23/37.47 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))))),
% 37.23/37.47 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 37.23/37.47 tff(2349,plain,
% 37.23/37.47 (~((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))))),
% 37.23/37.47 inference(unit_resolution,[status(thm)],[2348, 28])).
% 37.23/37.47 tff(2350,plain,
% 37.23/37.47 (((~((~(difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(C!3, D!2), difference(D!2, C!3)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | (~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))) | ((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.23/37.47 inference(tautology,[status(thm)],[])).
% 37.23/37.47 tff(2351,plain,
% 37.23/37.47 ((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.23/37.47 inference(unit_resolution,[status(thm)],[2350, 2349])).
% 37.23/37.47 tff(2352,plain,
% 37.23/37.47 ((~((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.23/37.47 inference(tautology,[status(thm)],[])).
% 37.23/37.47 tff(2353,plain,
% 37.23/37.47 ((~(member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_0(difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))) | (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.23/37.47 inference(unit_resolution,[status(thm)],[2352, 2351])).
% 37.23/37.47 tff(2354,plain,
% 37.23/37.47 (difference(C!3, D!2) = difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.23/37.47 inference(unit_resolution,[status(thm)],[2353, 2342])).
% 37.23/37.47 tff(2355,plain,
% 37.23/37.47 (difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) = difference(C!3, D!2)),
% 37.23/37.47 inference(symmetry,[status(thm)],[2354])).
% 37.23/37.47 tff(2356,plain,
% 37.23/37.47 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))),
% 37.23/37.47 inference(monotonicity,[status(thm)],[2355])).
% 37.23/37.47 tff(2357,plain,
% 37.23/37.47 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.23/37.47 inference(symmetry,[status(thm)],[2356])).
% 37.23/37.47 tff(2358,plain,
% 37.23/37.47 ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) <=> (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.23/37.47 inference(monotonicity,[status(thm)],[2357])).
% 37.23/37.47 tff(2359,plain,
% 37.23/37.47 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))))),
% 37.23/37.47 inference(quant_inst,[status(thm)],[])).
% 37.23/37.47 tff(2360,plain,
% 37.23/37.47 (~(((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))))),
% 37.23/37.47 inference(unit_resolution,[status(thm)],[2359, 50])).
% 37.23/37.47 tff(2361,assumption,(~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), introduced(assumption)).
% 37.23/37.47 tff(2362,plain,
% 37.23/37.47 ((member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.23/37.48 inference(tautology,[status(thm)],[])).
% 37.23/37.48 tff(2363,plain,
% 37.23/37.48 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))),
% 37.23/37.48 inference(unit_resolution,[status(thm)],[2362, 2361, 1917])).
% 37.23/37.48 tff(2364,plain,
% 37.23/37.48 ((((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))) | (~((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))))),
% 37.23/37.48 inference(tautology,[status(thm)],[])).
% 37.23/37.48 tff(2365,plain,
% 37.23/37.48 (~((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2)))),
% 37.23/37.48 inference(unit_resolution,[status(thm)],[2364, 2363, 2360])).
% 37.23/37.48 tff(2366,plain,
% 37.23/37.48 (((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2)))),
% 37.32/37.48 inference(tautology,[status(thm)],[])).
% 37.32/37.48 tff(2367,plain,
% 37.32/37.48 (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2366, 2365])).
% 37.32/37.48 tff(2368,plain,
% 37.32/37.48 (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.32/37.48 inference(modus_ponens,[status(thm)],[2367, 2358])).
% 37.32/37.48 tff(2369,plain,
% 37.32/37.48 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))))),
% 37.32/37.48 inference(quant_inst,[status(thm)],[])).
% 37.32/37.48 tff(2370,plain,
% 37.32/37.48 (~(((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))))),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2369, 50])).
% 37.32/37.48 tff(2371,plain,
% 37.32/37.48 (((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))),
% 37.32/37.48 inference(tautology,[status(thm)],[])).
% 37.32/37.48 tff(2372,plain,
% 37.32/37.48 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2371, 2365])).
% 37.32/37.48 tff(2373,plain,
% 37.32/37.48 ((~((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.32/37.48 inference(tautology,[status(thm)],[])).
% 37.32/37.48 tff(2374,plain,
% 37.32/37.48 (~((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2373, 2361, 2372])).
% 37.32/37.48 tff(2375,plain,
% 37.32/37.48 ((((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.32/37.48 inference(tautology,[status(thm)],[])).
% 37.32/37.48 tff(2376,plain,
% 37.32/37.48 ((((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2375, 2374])).
% 37.32/37.48 tff(2377,plain,
% 37.32/37.48 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2376, 2370])).
% 37.32/37.48 tff(2378,plain,
% 37.32/37.48 ($false),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2377, 2368])).
% 37.32/37.48 tff(2379,plain,(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) | (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))), inference(lemma,lemma(discharge,[]))).
% 37.32/37.48 tff(2380,plain,
% 37.32/37.48 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2379, 1917])).
% 37.32/37.48 tff(2381,plain,
% 37.32/37.48 ((member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.32/37.48 inference(tautology,[status(thm)],[])).
% 37.32/37.48 tff(2382,plain,
% 37.32/37.48 (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))),
% 37.32/37.48 inference(unit_resolution,[status(thm)],[2381, 2380, 1917])).
% 37.32/37.48 tff(2383,plain,
% 37.32/37.48 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3))),
% 37.32/37.48 inference(monotonicity,[status(thm)],[402])).
% 37.32/37.48 tff(2384,plain,
% 37.32/37.48 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3)) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3)),
% 37.32/37.48 inference(symmetry,[status(thm)],[2383])).
% 37.32/37.48 tff(2385,plain,
% 37.32/37.48 ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3))) <=> (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3))),
% 37.32/37.48 inference(monotonicity,[status(thm)],[2384])).
% 37.32/37.48 tff(2386,plain,
% 37.32/37.48 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))))),
% 37.32/37.49 inference(quant_inst,[status(thm)],[])).
% 37.32/37.49 tff(2387,plain,
% 37.32/37.49 (~(((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))))),
% 37.32/37.49 inference(unit_resolution,[status(thm)],[2386, 50])).
% 37.32/37.49 tff(2388,plain,
% 37.32/37.49 (difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.32/37.49 inference(transitivity,[status(thm)],[341, 1566, 1565, 1508, 1511])).
% 37.32/37.49 tff(2389,plain,
% 37.32/37.49 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.32/37.49 inference(monotonicity,[status(thm)],[2388])).
% 37.32/37.49 tff(2390,plain,
% 37.32/37.49 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 37.32/37.49 inference(symmetry,[status(thm)],[2389])).
% 37.32/37.49 tff(2391,assumption,(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), introduced(assumption)).
% 37.32/37.49 tff(2392,plain,
% 37.32/37.49 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))),
% 37.33/37.49 inference(modus_ponens,[status(thm)],[2391, 2390])).
% 37.33/37.49 tff(2393,plain,
% 37.33/37.49 ((((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3)))) | (~((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3)))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), union(difference(C!3, D!2), C!3))))),
% 37.33/37.49 inference(tautology,[status(thm)],[])).
% 37.33/37.49 tff(2394,plain,
% 37.33/37.49 (~((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3)))),
% 37.33/37.49 inference(unit_resolution,[status(thm)],[2393, 2392, 2387])).
% 37.33/37.49 tff(2395,plain,
% 37.33/37.49 (((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3)))),
% 37.33/37.49 inference(tautology,[status(thm)],[])).
% 37.33/37.49 tff(2396,plain,
% 37.33/37.49 (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(C!3, D!2), C!3))),
% 37.33/37.49 inference(unit_resolution,[status(thm)],[2395, 2394])).
% 37.33/37.49 tff(2397,plain,
% 37.33/37.49 (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3)),
% 37.33/37.49 inference(modus_ponens,[status(thm)],[2396, 2385])).
% 37.33/37.49 tff(2398,assumption,(~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))), introduced(assumption)).
% 37.33/37.49 tff(2399,plain,
% 37.33/37.49 ((((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))) | ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))),
% 37.33/37.49 inference(tautology,[status(thm)],[])).
% 37.33/37.49 tff(2400,plain,
% 37.33/37.49 ((((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))) | ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2)))),
% 37.33/37.49 inference(unit_resolution,[status(thm)],[2399, 2398])).
% 37.33/37.49 tff(2401,plain,
% 37.33/37.49 ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))),
% 37.33/37.49 inference(unit_resolution,[status(thm)],[2400, 2360])).
% 37.33/37.49 tff(2402,plain,
% 37.33/37.49 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))) | subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))) | subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))))))),
% 37.33/37.49 inference(rewrite,[status(thm)],[])).
% 37.33/37.49 tff(2403,plain,
% 37.33/37.49 ((~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))))))) <=> (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))) | subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))))))),
% 37.33/37.49 inference(rewrite,[status(thm)],[])).
% 37.33/37.49 tff(2404,plain,
% 37.33/37.49 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3)))))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))) | subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))))))),
% 37.33/37.50 inference(monotonicity,[status(thm)],[2403])).
% 37.33/37.50 tff(2405,plain,
% 37.33/37.50 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3)))))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))) | subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))))))),
% 37.33/37.50 inference(transitivity,[status(thm)],[2404, 2402])).
% 37.33/37.50 tff(2406,plain,
% 37.33/37.50 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3)))))))))),
% 37.33/37.50 inference(quant_inst,[status(thm)],[])).
% 37.33/37.50 tff(2407,plain,
% 37.33/37.50 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))) | subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))))))),
% 37.33/37.50 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 37.33/37.50 tff(2408,plain,
% 37.33/37.50 (~((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))) | subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))))))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2407, 75])).
% 37.33/37.50 tff(2409,plain,
% 37.33/37.50 (((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~((~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))), union(B!4, difference(D!2, C!3))))) | subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))))) | ((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))),
% 37.33/37.50 inference(tautology,[status(thm)],[])).
% 37.33/37.50 tff(2410,plain,
% 37.33/37.50 ((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2409, 2408])).
% 37.33/37.50 tff(2411,plain,
% 37.33/37.50 (subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3))) <=> subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3)))),
% 37.33/37.50 inference(monotonicity,[status(thm)],[1513])).
% 37.33/37.50 tff(2412,plain,
% 37.33/37.50 (subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) <=> subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))),
% 37.33/37.50 inference(symmetry,[status(thm)],[2411])).
% 37.33/37.50 tff(2413,assumption,((~((~subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(D!2, C!3))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))))), introduced(assumption)).
% 37.33/37.50 tff(2414,plain,
% 37.33/37.50 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_1(C, B), B)) | member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(D!2, C!3))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))))))),
% 37.33/37.50 inference(quant_inst,[status(thm)],[])).
% 37.33/37.50 tff(2415,plain,
% 37.33/37.50 ($false),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2414, 75, 2413])).
% 37.33/37.50 tff(2416,plain,(~((~((~subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(D!2, C!3))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3))))))))), inference(lemma,lemma(discharge,[]))).
% 37.33/37.50 tff(2417,plain,
% 37.33/37.50 (((~((~subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, difference(D!2, C!3))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~(subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))))) | (subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3))))))),
% 37.33/37.50 inference(tautology,[status(thm)],[])).
% 37.33/37.50 tff(2418,plain,
% 37.33/37.50 (subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2417, 2416])).
% 37.33/37.50 tff(2419,plain,
% 37.33/37.50 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))),
% 37.33/37.50 inference(monotonicity,[status(thm)],[355])).
% 37.33/37.50 tff(2420,plain,
% 37.33/37.50 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3))) <=> member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 37.33/37.50 inference(symmetry,[status(thm)],[2419])).
% 37.33/37.50 tff(2421,plain,
% 37.33/37.50 ((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))) <=> (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))))),
% 37.33/37.50 inference(monotonicity,[status(thm)],[2420])).
% 37.33/37.50 tff(2422,assumption,(~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3))))), introduced(assumption)).
% 37.33/37.50 tff(2423,plain,
% 37.33/37.50 (((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3))))),
% 37.33/37.50 inference(tautology,[status(thm)],[])).
% 37.33/37.50 tff(2424,plain,
% 37.33/37.50 (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2423, 2422])).
% 37.33/37.50 tff(2425,plain,
% 37.33/37.50 (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 37.33/37.50 inference(modus_ponens,[status(thm)],[2424, 2421])).
% 37.33/37.50 tff(2426,plain,
% 37.33/37.50 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3)) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))),
% 37.33/37.50 inference(quant_inst,[status(thm)],[])).
% 37.33/37.50 tff(2427,plain,
% 37.33/37.50 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3)) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3))))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2426, 105])).
% 37.33/37.50 tff(2428,plain,
% 37.33/37.50 (((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))),
% 37.33/37.50 inference(tautology,[status(thm)],[])).
% 37.33/37.50 tff(2429,plain,
% 37.33/37.50 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2428, 2422])).
% 37.33/37.50 tff(2430,plain,
% 37.33/37.50 ((member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3)) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))) | (~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3)))),
% 37.33/37.50 inference(tautology,[status(thm)],[])).
% 37.33/37.50 tff(2431,plain,
% 37.33/37.50 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3)) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2430, 2429])).
% 37.33/37.50 tff(2432,plain,
% 37.33/37.50 ((~(member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3)) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3)) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))),
% 37.33/37.50 inference(tautology,[status(thm)],[])).
% 37.33/37.50 tff(2433,plain,
% 37.33/37.50 ((~(member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3)) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2432, 2431])).
% 37.33/37.50 tff(2434,plain,
% 37.33/37.50 (member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2433, 2427])).
% 37.33/37.50 tff(2435,plain,
% 37.33/37.50 ($false),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2434, 2425])).
% 37.33/37.50 tff(2436,plain,((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 37.33/37.50 tff(2437,plain,
% 37.33/37.50 ((~(subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3))))))) | subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3)))))),
% 37.33/37.50 inference(tautology,[status(thm)],[])).
% 37.33/37.50 tff(2438,plain,
% 37.33/37.50 ((~(subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), difference(D!2, C!3))) | member(tptp_fun_D_1(union(B!4, difference(D!2, C!3)), difference(D!2, C!3)), union(B!4, difference(D!2, C!3))))))) | subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3)))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2437, 2436])).
% 37.33/37.50 tff(2439,plain,
% 37.33/37.50 (subset(difference(D!2, C!3), union(B!4, difference(D!2, C!3)))),
% 37.33/37.50 inference(unit_resolution,[status(thm)],[2438, 2418])).
% 37.33/37.50 tff(2440,plain,
% 37.33/37.50 (subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))),
% 37.35/37.50 inference(modus_ponens,[status(thm)],[2439, 2412])).
% 37.35/37.50 tff(2441,plain,
% 37.35/37.50 ((~((~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3)))))) | (~subset(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), union(B!4, difference(D!2, C!3)))) | ![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))),
% 37.35/37.50 inference(tautology,[status(thm)],[])).
% 37.35/37.50 tff(2442,plain,
% 37.35/37.50 (![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))),
% 37.35/37.50 inference(unit_resolution,[status(thm)],[2441, 2440, 2410])).
% 37.35/37.50 tff(2443,plain,
% 37.35/37.50 (((~![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3))))) <=> ((~![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3))))),
% 37.35/37.50 inference(rewrite,[status(thm)],[])).
% 37.35/37.50 tff(2444,plain,
% 37.35/37.50 ((~![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3))))),
% 37.35/37.51 inference(quant_inst,[status(thm)],[])).
% 37.35/37.51 tff(2445,plain,
% 37.35/37.51 ((~![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))),
% 37.35/37.51 inference(modus_ponens,[status(thm)],[2444, 2443])).
% 37.35/37.51 tff(2446,plain,
% 37.35/37.51 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))),
% 37.35/37.51 inference(unit_resolution,[status(thm)],[2445, 2391, 2442])).
% 37.35/37.51 tff(2447,plain,
% 37.35/37.51 ((~((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))),
% 37.35/37.51 inference(tautology,[status(thm)],[])).
% 37.35/37.51 tff(2448,plain,
% 37.35/37.51 ((~((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2)))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))),
% 37.35/37.51 inference(unit_resolution,[status(thm)],[2447, 2446])).
% 37.35/37.51 tff(2449,plain,
% 37.35/37.51 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))),
% 37.35/37.51 inference(unit_resolution,[status(thm)],[2448, 2401])).
% 37.35/37.51 tff(2450,plain,
% 37.35/37.51 (((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3))) <=> ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3))),
% 37.35/37.51 inference(rewrite,[status(thm)],[])).
% 37.35/37.51 tff(2451,plain,
% 37.35/37.51 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | ((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3))),
% 37.35/37.51 inference(quant_inst,[status(thm)],[])).
% 37.35/37.51 tff(2452,plain,
% 37.35/37.51 ((~![D: $i] : ((~member(D, difference(C!3, D!2))) | member(D, C!3))) | (~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(C!3, D!2))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3)),
% 37.35/37.51 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 37.35/37.51 tff(2453,plain,
% 37.35/37.51 (member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), C!3)),
% 37.35/37.51 inference(unit_resolution,[status(thm)],[2452, 87, 2449])).
% 37.35/37.51 tff(2454,plain,
% 37.35/37.51 ($false),
% 37.35/37.51 inference(unit_resolution,[status(thm)],[2453, 2397])).
% 37.35/37.51 tff(2455,plain,((~member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 37.35/37.51 tff(2456,plain,
% 37.35/37.51 ($false),
% 37.35/37.51 inference(unit_resolution,[status(thm)],[2455, 2382, 2380])).
% 37.35/37.51 tff(2457,plain,(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), inference(lemma,lemma(discharge,[]))).
% 37.35/37.51 tff(2458,plain,
% 37.35/37.51 (((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | ((~(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) <=> ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | (~(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.35/37.51 inference(rewrite,[status(thm)],[])).
% 37.35/37.51 tff(2459,plain,
% 37.35/37.51 ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | ((~(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.35/37.51 inference(quant_inst,[status(thm)],[])).
% 37.35/37.51 tff(2460,plain,
% 37.35/37.51 ((~![B: $i, C: $i] : ((~(member(tptp_fun_D_0(C, B), B) <=> member(tptp_fun_D_0(C, B), C))) | (B = C))) | (~(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.35/37.51 inference(modus_ponens,[status(thm)],[2459, 2458])).
% 37.35/37.51 tff(2461,plain,
% 37.35/37.51 ((~(member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))) | (difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.35/37.51 inference(unit_resolution,[status(thm)],[2460, 779])).
% 37.35/37.51 tff(2462,plain,
% 37.35/37.51 (difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)) = union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))),
% 37.35/37.51 inference(unit_resolution,[status(thm)],[2461, 2457])).
% 37.35/37.51 tff(2463,plain,
% 37.35/37.51 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.35/37.51 inference(monotonicity,[status(thm)],[2462])).
% 37.35/37.51 tff(2464,plain,
% 37.35/37.51 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))),
% 37.35/37.51 inference(symmetry,[status(thm)],[2463])).
% 37.35/37.51 tff(2465,plain,
% 37.35/37.51 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) <=> (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2))))),
% 37.35/37.51 inference(monotonicity,[status(thm)],[2464])).
% 37.35/37.51 tff(2466,plain,
% 37.35/37.51 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))),
% 37.35/37.51 inference(modus_ponens,[status(thm)],[1908, 2465])).
% 37.35/37.51 tff(2467,plain,
% 37.35/37.51 ((((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))) | ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(union(B!4, difference(D!2, C!3)), difference(C!3, D!2)))),
% 37.35/37.51 inference(tautology,[status(thm)],[])).
% 37.35/37.51 tff(2468,plain,
% 37.35/37.51 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))),
% 37.36/37.51 inference(unit_resolution,[status(thm)],[2467, 2466, 1916])).
% 37.36/37.51 tff(2469,plain,
% 37.36/37.51 ((~((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2))),
% 37.36/37.51 inference(tautology,[status(thm)],[])).
% 37.36/37.51 tff(2470,plain,
% 37.36/37.51 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.36/37.51 inference(unit_resolution,[status(thm)],[2469, 1909, 2468])).
% 37.36/37.51 tff(2471,plain,
% 37.36/37.51 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) <=> member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.36/37.51 inference(tautology,[status(thm)],[])).
% 37.36/37.51 tff(2472,plain,
% 37.36/37.51 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2))),
% 37.36/37.51 inference(unit_resolution,[status(thm)],[2471, 2470, 1536])).
% 37.36/37.51 tff(2473,plain,
% 37.36/37.51 ($false),
% 37.36/37.51 inference(unit_resolution,[status(thm)],[2472, 1914])).
% 37.36/37.51 tff(2474,plain,(member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))), inference(lemma,lemma(discharge,[]))).
% 37.36/37.51 tff(2475,plain,
% 37.36/37.51 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.36/37.51 inference(unit_resolution,[status(thm)],[2474, 1889])).
% 37.36/37.51 tff(2476,plain,
% 37.36/37.51 (((~![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))) <=> ((~![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 37.36/37.51 inference(rewrite,[status(thm)],[])).
% 37.36/37.51 tff(2477,plain,
% 37.36/37.51 ((~![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))) | ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3))))),
% 37.36/37.52 inference(quant_inst,[status(thm)],[])).
% 37.36/37.52 tff(2478,plain,
% 37.36/37.52 ((~![D: $i] : ((~member(D, union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(D, union(B!4, difference(D!2, C!3))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.36/37.52 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 37.36/37.52 tff(2479,plain,
% 37.36/37.52 ((~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.36/37.52 inference(unit_resolution,[status(thm)],[2478, 2442])).
% 37.36/37.52 tff(2480,plain,
% 37.36/37.52 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(B!4, difference(D!2, C!3)))),
% 37.36/37.52 inference(unit_resolution,[status(thm)],[2479, 2475])).
% 37.36/37.52 tff(2481,plain,
% 37.36/37.52 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), symmetric_difference(C!3, D!2))),
% 37.36/37.52 inference(unit_resolution,[status(thm)],[1874, 2480, 1536])).
% 37.36/37.52 tff(2482,plain,
% 37.36/37.52 (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.36/37.52 inference(modus_ponens,[status(thm)],[2481, 1518])).
% 37.36/37.52 tff(2483,plain,
% 37.36/37.52 ((member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))) | (~member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.36/37.52 inference(tautology,[status(thm)],[])).
% 37.36/37.52 tff(2484,plain,
% 37.36/37.52 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), difference(C!3, D!2)) | member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4))))),
% 37.36/37.52 inference(unit_resolution,[status(thm)],[2483, 2475])).
% 37.36/37.52 tff(2485,plain,
% 37.36/37.52 (member(tptp_fun_D_0(union(B!4, difference(D!2, C!3)), symmetric_difference(C!3, D!2)), union(difference(C!3, D!2), union(difference(difference(union(difference(C!3, D!2), C!3), B!4), D!2), difference(D!2, difference(union(difference(C!3, D!2), C!3), B!4)))))),
% 37.36/37.52 inference(unit_resolution,[status(thm)],[1886, 2484, 1883])).
% 37.36/37.52 tff(2486,plain,
% 37.36/37.52 ($false),
% 37.36/37.52 inference(unit_resolution,[status(thm)],[2485, 2482])).
% 37.36/37.52 % SZS output end Proof
% 37.36/37.53 % E exiting
%------------------------------------------------------------------------------