%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SET609+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:25:59 AM UTC 2025
% Result : Theorem 221.16s 221.38s
% Output : Proof 221.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET609+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 20 05:31:03 EDT 2025
% 0.13/0.33 % CPUTime :
% 221.16/221.38 % SZS status Theorem
% 221.16/221.38 % SZS output start Proof
% 221.16/221.38 tff(member_type, type, (
% 221.16/221.38 member: ( $i * $i ) > $o)).
% 221.16/221.38 tff(difference_type, type, (
% 221.16/221.38 difference: ( $i * $i ) > $i)).
% 221.16/221.38 tff(tptp_fun_C_3_type, type, (
% 221.16/221.38 tptp_fun_C_3: $i)).
% 221.16/221.38 tff(union_type, type, (
% 221.16/221.38 union: ( $i * $i ) > $i)).
% 221.16/221.38 tff(tptp_fun_B_4_type, type, (
% 221.16/221.38 tptp_fun_B_4: $i)).
% 221.16/221.38 tff(tptp_fun_D_1_type, type, (
% 221.16/221.38 tptp_fun_D_1: ( $i * $i ) > $i)).
% 221.16/221.38 tff(intersection_type, type, (
% 221.16/221.38 intersection: ( $i * $i ) > $i)).
% 221.16/221.38 tff(tptp_fun_D_2_type, type, (
% 221.16/221.38 tptp_fun_D_2: $i)).
% 221.16/221.38 tff(subset_type, type, (
% 221.16/221.38 subset: ( $i * $i ) > $o)).
% 221.16/221.38 tff(tptp_fun_D_0_type, type, (
% 221.16/221.38 tptp_fun_D_0: ( $i * $i ) > $i)).
% 221.16/221.38 tff(1,assumption,(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))), introduced(assumption)).
% 221.16/221.38 tff(2,plain,
% 221.16/221.38 (^[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)))))),
% 221.16/221.38 inference(bind,[status(th)],[])).
% 221.16/221.38 tff(3,plain,
% 221.16/221.38 (![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))))),
% 221.16/221.38 inference(quant_intro,[status(thm)],[2])).
% 221.16/221.38 tff(4,plain,
% 221.16/221.38 (^[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))))))),
% 221.16/221.38 inference(bind,[status(th)],[])).
% 221.16/221.38 tff(5,plain,
% 221.16/221.38 (![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))))),
% 221.16/221.38 inference(quant_intro,[status(thm)],[4])).
% 221.16/221.38 tff(6,plain,
% 221.16/221.38 (![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))))),
% 221.16/221.38 inference(rewrite,[status(thm)],[])).
% 221.16/221.38 tff(7,axiom,(![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','difference_defn')).
% 221.16/221.38 tff(8,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 221.16/221.38 inference(modus_ponens,[status(thm)],[7, 6])).
% 221.16/221.38 tff(9,plain,(
% 221.16/221.38 ![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 221.16/221.38 inference(skolemize,[status(sab)],[8])).
% 221.16/221.38 tff(10,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))),
% 221.16/221.38 inference(modus_ponens,[status(thm)],[9, 5])).
% 221.16/221.38 tff(11,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))),
% 221.16/221.38 inference(modus_ponens,[status(thm)],[10, 3])).
% 221.16/221.38 tff(12,plain,
% 221.16/221.38 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))))),
% 221.16/221.38 inference(quant_inst,[status(thm)],[])).
% 221.16/221.38 tff(13,plain,
% 221.16/221.38 ($false),
% 221.16/221.38 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 221.16/221.38 tff(14,plain,(~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.38 tff(15,assumption,(~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.16/221.38 tff(16,plain,
% 221.16/221.38 (^[B: $i, C: $i, D: $i] : refl((~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C)))) <=> (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C)))))),
% 221.16/221.38 inference(bind,[status(th)],[])).
% 221.16/221.38 tff(17,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C)))) <=> ![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))),
% 221.16/221.38 inference(quant_intro,[status(thm)],[16])).
% 221.16/221.38 tff(18,plain,
% 221.16/221.38 (^[B: $i, C: $i, D: $i] : trans(trans(monotonicity(rewrite((member(D, B) & member(D, C)) <=> (~((~member(D, C)) | (~member(D, B))))), ((member(D, intersection(B, C)) <=> (member(D, B) & member(D, C))) <=> (member(D, intersection(B, C)) <=> (~((~member(D, C)) | (~member(D, B))))))), rewrite((member(D, intersection(B, C)) <=> (~((~member(D, C)) | (~member(D, B))))) <=> (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))), ((member(D, intersection(B, C)) <=> (member(D, B) & member(D, C))) <=> (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C)))))), rewrite((~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C)))) <=> (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))), ((member(D, intersection(B, C)) <=> (member(D, B) & member(D, C))) <=> (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))))),
% 221.16/221.38 inference(bind,[status(th)],[])).
% 221.16/221.38 tff(19,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C))) <=> ![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))),
% 221.16/221.38 inference(quant_intro,[status(thm)],[18])).
% 221.16/221.38 tff(20,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C))) <=> ![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C)))),
% 221.16/221.38 inference(rewrite,[status(thm)],[])).
% 221.16/221.38 tff(21,axiom,(![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','intersection_defn')).
% 221.16/221.38 tff(22,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C)))),
% 221.16/221.38 inference(modus_ponens,[status(thm)],[21, 20])).
% 221.16/221.38 tff(23,plain,(
% 221.16/221.38 ![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C)))),
% 221.16/221.38 inference(skolemize,[status(sab)],[22])).
% 221.16/221.38 tff(24,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))),
% 221.16/221.38 inference(modus_ponens,[status(thm)],[23, 19])).
% 221.16/221.38 tff(25,plain,
% 221.16/221.38 (![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))),
% 221.16/221.38 inference(modus_ponens,[status(thm)],[24, 17])).
% 221.16/221.38 tff(26,plain,
% 221.16/221.38 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.38 inference(rewrite,[status(thm)],[])).
% 221.16/221.38 tff(27,plain,
% 221.16/221.38 ((~(~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) <=> (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.16/221.38 inference(rewrite,[status(thm)],[])).
% 221.16/221.38 tff(28,plain,
% 221.16/221.38 ((~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.38 inference(rewrite,[status(thm)],[])).
% 221.16/221.38 tff(29,plain,
% 221.16/221.38 (((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.38 inference(rewrite,[status(thm)],[])).
% 221.16/221.38 tff(30,plain,
% 221.16/221.38 (((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))),
% 221.16/221.38 inference(rewrite,[status(thm)],[])).
% 221.16/221.38 tff(31,plain,
% 221.16/221.38 ((((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.16/221.39 inference(monotonicity,[status(thm)],[30])).
% 221.16/221.39 tff(32,plain,
% 221.16/221.39 ((((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.39 inference(transitivity,[status(thm)],[31, 29])).
% 221.16/221.39 tff(33,plain,
% 221.16/221.39 ((((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.39 inference(transitivity,[status(thm)],[32, 28])).
% 221.16/221.39 tff(34,plain,
% 221.16/221.39 ((~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (~(~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))),
% 221.16/221.39 inference(monotonicity,[status(thm)],[33])).
% 221.16/221.39 tff(35,plain,
% 221.16/221.39 ((~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.16/221.39 inference(transitivity,[status(thm)],[34, 27])).
% 221.16/221.39 tff(36,plain,
% 221.16/221.39 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.39 inference(monotonicity,[status(thm)],[35])).
% 221.16/221.39 tff(37,plain,
% 221.16/221.39 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.39 inference(transitivity,[status(thm)],[36, 26])).
% 221.16/221.39 tff(38,plain,
% 221.16/221.39 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.39 inference(quant_inst,[status(thm)],[])).
% 221.16/221.39 tff(39,plain,
% 221.16/221.39 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.16/221.39 inference(modus_ponens,[status(thm)],[38, 37])).
% 221.16/221.39 tff(40,plain,
% 221.16/221.39 ($false),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[39, 25, 15])).
% 221.16/221.39 tff(41,plain,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.39 tff(42,plain,
% 221.16/221.39 (^[B: $i, C: $i, D: $i] : refl((~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))))),
% 221.16/221.39 inference(bind,[status(th)],[])).
% 221.16/221.39 tff(43,plain,
% 221.16/221.39 (![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(quant_intro,[status(thm)],[42])).
% 221.16/221.39 tff(44,plain,
% 221.16/221.39 (![B: $i, C: $i] : ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(pull_quant,[status(thm)],[])).
% 221.16/221.39 tff(45,plain,
% 221.16/221.39 (^[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_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))) <=> (?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))), pull_quant((?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))), (((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))), ((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> (~?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))))), pull_quant((~?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))), ((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))))),
% 221.16/221.39 inference(bind,[status(th)],[])).
% 221.16/221.39 tff(46,plain,
% 221.16/221.39 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i] : ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(quant_intro,[status(thm)],[45])).
% 221.16/221.39 tff(47,plain,
% 221.16/221.39 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(transitivity,[status(thm)],[46, 44])).
% 221.16/221.39 tff(48,plain,
% 221.16/221.39 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(transitivity,[status(thm)],[47, 43])).
% 221.16/221.39 tff(49,plain,
% 221.16/221.39 (^[B: $i, C: $i] : rewrite((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))))),
% 221.16/221.39 inference(bind,[status(th)],[])).
% 221.16/221.39 tff(50,plain,
% 221.16/221.39 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(quant_intro,[status(thm)],[49])).
% 221.16/221.39 tff(51,plain,
% 221.16/221.39 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(transitivity,[status(thm)],[50, 48])).
% 221.16/221.39 tff(52,plain,
% 221.16/221.39 (^[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_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))) <=> (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))), (((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))) <=> ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))), rewrite(((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))) <=> ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))), (((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))) <=> ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))), ((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))) <=> (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))))), rewrite((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))), ((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))))),
% 221.16/221.39 inference(bind,[status(th)],[])).
% 221.16/221.39 tff(53,plain,
% 221.16/221.39 (![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))) <=> ![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(quant_intro,[status(thm)],[52])).
% 221.16/221.39 tff(54,plain,
% 221.16/221.39 (![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)))),
% 221.16/221.39 inference(rewrite,[status(thm)],[])).
% 221.16/221.39 tff(55,axiom,(![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','equal_member_defn')).
% 221.16/221.39 tff(56,plain,
% 221.16/221.39 (![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))),
% 221.16/221.39 inference(modus_ponens,[status(thm)],[55, 54])).
% 221.16/221.39 tff(57,plain,(
% 221.16/221.39 ![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))),
% 221.16/221.39 inference(skolemize,[status(sab)],[56])).
% 221.16/221.39 tff(58,plain,
% 221.16/221.39 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(modus_ponens,[status(thm)],[57, 53])).
% 221.16/221.39 tff(59,plain,
% 221.16/221.39 (![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 221.16/221.39 inference(modus_ponens,[status(thm)],[58, 51])).
% 221.16/221.39 tff(60,plain,
% 221.16/221.39 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(C!3, D!2)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (~((difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))))),
% 221.16/221.39 inference(quant_inst,[status(thm)],[])).
% 221.16/221.39 tff(61,plain,
% 221.16/221.39 (~((~((~(difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(C!3, D!2)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (~((difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))))),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[60, 59])).
% 221.16/221.39 tff(62,plain,
% 221.16/221.39 (((~((~(difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (member(tptp_fun_D_1(difference(C!3, D!2), C!3), difference(C!3, D!2)) <=> member(tptp_fun_D_1(difference(C!3, D!2), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (~((difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))) | ((difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))),
% 221.16/221.39 inference(tautology,[status(thm)],[])).
% 221.16/221.39 tff(63,plain,
% 221.16/221.39 ((difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[62, 61])).
% 221.16/221.39 tff(64,plain,
% 221.16/221.39 ((~((difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.39 inference(tautology,[status(thm)],[])).
% 221.16/221.39 tff(65,plain,
% 221.16/221.39 ((difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(C!3, D!2)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[64, 63])).
% 221.16/221.39 tff(66,plain,
% 221.16/221.39 (difference(C!3, D!2) = intersection(difference(C!3, D!2), difference(C!3, D!2))),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[65, 41])).
% 221.16/221.39 tff(67,plain,
% 221.16/221.39 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.16/221.39 inference(monotonicity,[status(thm)],[66])).
% 221.16/221.39 tff(68,plain,
% 221.16/221.39 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))),
% 221.16/221.39 inference(symmetry,[status(thm)],[67])).
% 221.16/221.39 tff(69,assumption,((~((~(B!4 = union(B!4, difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, C!3)), union(difference(B!4, C!3), B!4)), B!4) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, C!3)), union(difference(B!4, C!3), B!4)), union(B!4, difference(B!4, C!3)))))) | (~((B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))))))), introduced(assumption)).
% 221.16/221.39 tff(70,plain,
% 221.16/221.39 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(B!4 = union(B!4, difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, C!3)), union(difference(B!4, C!3), B!4)), B!4) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, C!3)), union(difference(B!4, C!3), B!4)), union(B!4, difference(B!4, C!3)))))) | (~((B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))))))))),
% 221.16/221.39 inference(quant_inst,[status(thm)],[])).
% 221.16/221.39 tff(71,plain,
% 221.16/221.39 ($false),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[70, 59, 69])).
% 221.16/221.39 tff(72,plain,(~((~((~(B!4 = union(B!4, difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, C!3)), union(difference(B!4, C!3), B!4)), B!4) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, C!3)), union(difference(B!4, C!3), B!4)), union(B!4, difference(B!4, C!3)))))) | (~((B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))))))))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.39 tff(73,plain,
% 221.16/221.39 (((~((~(B!4 = union(B!4, difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, C!3)), union(difference(B!4, C!3), B!4)), B!4) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, C!3)), union(difference(B!4, C!3), B!4)), union(B!4, difference(B!4, C!3)))))) | (~((B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))))))) | ((B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))))))),
% 221.16/221.39 inference(tautology,[status(thm)],[])).
% 221.16/221.39 tff(74,plain,
% 221.16/221.39 ((B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))))),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[73, 72])).
% 221.16/221.39 tff(75,assumption,(~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))))), introduced(assumption)).
% 221.16/221.39 tff(76,assumption,(~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))), introduced(assumption)).
% 221.16/221.39 tff(77,plain,
% 221.16/221.39 ((member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))),
% 221.16/221.39 inference(tautology,[status(thm)],[])).
% 221.16/221.39 tff(78,plain,
% 221.16/221.39 (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[77, 76, 75])).
% 221.16/221.39 tff(79,plain,
% 221.16/221.39 (^[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))))),
% 221.16/221.39 inference(bind,[status(th)],[])).
% 221.16/221.39 tff(80,plain,
% 221.16/221.39 (![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)))),
% 221.16/221.39 inference(quant_intro,[status(thm)],[79])).
% 221.16/221.39 tff(81,plain,
% 221.16/221.39 (![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)))),
% 221.16/221.39 inference(rewrite,[status(thm)],[])).
% 221.16/221.39 tff(82,plain,
% 221.16/221.39 (^[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))))),
% 221.16/221.39 inference(bind,[status(th)],[])).
% 221.16/221.39 tff(83,plain,
% 221.16/221.39 (![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)))),
% 221.16/221.39 inference(quant_intro,[status(thm)],[82])).
% 221.16/221.39 tff(84,axiom,(![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, B) | member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','union_defn')).
% 221.16/221.39 tff(85,plain,
% 221.16/221.39 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 221.16/221.39 inference(modus_ponens,[status(thm)],[84, 83])).
% 221.16/221.39 tff(86,plain,
% 221.16/221.39 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 221.16/221.39 inference(modus_ponens,[status(thm)],[85, 81])).
% 221.16/221.39 tff(87,plain,(
% 221.16/221.39 ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 221.16/221.39 inference(skolemize,[status(sab)],[86])).
% 221.16/221.39 tff(88,plain,
% 221.16/221.39 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 221.16/221.39 inference(modus_ponens,[status(thm)],[87, 80])).
% 221.16/221.39 tff(89,plain,
% 221.16/221.39 (((~![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(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))))) <=> ((~![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(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))))),
% 221.16/221.39 inference(rewrite,[status(thm)],[])).
% 221.16/221.39 tff(90,plain,
% 221.16/221.39 ((member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))))),
% 221.16/221.39 inference(rewrite,[status(thm)],[])).
% 221.16/221.39 tff(91,plain,
% 221.16/221.39 (((~![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(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)))) <=> ((~![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(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))))),
% 221.16/221.39 inference(monotonicity,[status(thm)],[90])).
% 221.16/221.39 tff(92,plain,
% 221.16/221.39 (((~![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(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)))) <=> ((~![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(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))))),
% 221.16/221.39 inference(transitivity,[status(thm)],[91, 89])).
% 221.16/221.39 tff(93,plain,
% 221.16/221.39 ((~![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(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)))),
% 221.16/221.39 inference(quant_inst,[status(thm)],[])).
% 221.16/221.39 tff(94,plain,
% 221.16/221.39 ((~![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(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))))),
% 221.16/221.39 inference(modus_ponens,[status(thm)],[93, 92])).
% 221.16/221.39 tff(95,plain,
% 221.16/221.39 (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))),
% 221.16/221.39 inference(unit_resolution,[status(thm)],[94, 88])).
% 221.16/221.39 tff(96,plain,
% 221.16/221.39 ((~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))))) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))))),
% 221.16/221.39 inference(tautology,[status(thm)],[])).
% 221.16/221.39 tff(97,plain,
% 221.16/221.39 (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[96, 76, 95])).
% 221.16/221.40 tff(98,plain,
% 221.16/221.40 ((member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))) | (~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4))),
% 221.16/221.40 inference(tautology,[status(thm)],[])).
% 221.16/221.40 tff(99,plain,
% 221.16/221.40 ($false),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[98, 97, 78])).
% 221.16/221.40 tff(100,plain,(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) | (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.40 tff(101,plain,
% 221.16/221.40 (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[100, 75])).
% 221.16/221.40 tff(102,plain,
% 221.16/221.40 ((member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))) | (~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | (~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))))),
% 221.16/221.40 inference(tautology,[status(thm)],[])).
% 221.16/221.40 tff(103,plain,
% 221.16/221.40 (~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[102, 101, 75])).
% 221.16/221.40 tff(104,plain,
% 221.16/221.40 (((~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), C!3)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)),
% 221.16/221.40 inference(tautology,[status(thm)],[])).
% 221.16/221.40 tff(105,plain,
% 221.16/221.40 ((~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), C!3)),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[104, 103])).
% 221.16/221.40 tff(106,assumption,(~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))))), introduced(assumption)).
% 221.16/221.40 tff(107,plain,
% 221.16/221.40 ($false),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[94, 88, 106])).
% 221.16/221.40 tff(108,plain,(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.40 tff(109,plain,
% 221.16/221.40 ((~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))) <=> (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))))) | (~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))) | (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))),
% 221.16/221.40 inference(tautology,[status(thm)],[])).
% 221.16/221.40 tff(110,plain,
% 221.16/221.40 (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[109, 101, 108])).
% 221.16/221.40 tff(111,plain,
% 221.16/221.40 ((~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))),
% 221.16/221.40 inference(tautology,[status(thm)],[])).
% 221.16/221.40 tff(112,plain,
% 221.16/221.40 (member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[111, 103, 110])).
% 221.16/221.40 tff(113,assumption,(((~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), C!3)) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))), introduced(assumption)).
% 221.16/221.40 tff(114,plain,
% 221.16/221.40 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), C!3)) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))))),
% 221.16/221.40 inference(quant_inst,[status(thm)],[])).
% 221.16/221.40 tff(115,plain,
% 221.16/221.40 ($false),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[114, 11, 113])).
% 221.16/221.40 tff(116,plain,(~(((~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), C!3)) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.40 tff(117,plain,
% 221.16/221.40 ((((~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), C!3)) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3))) | (~((~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), C!3))) | (~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))),
% 221.16/221.40 inference(tautology,[status(thm)],[])).
% 221.16/221.40 tff(118,plain,
% 221.16/221.40 ((~((~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4)) | member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), C!3))) | (~member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), difference(B!4, C!3)))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[117, 116])).
% 221.16/221.40 tff(119,plain,
% 221.16/221.40 ($false),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[118, 112, 105])).
% 221.16/221.40 tff(120,plain,(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.40 tff(121,plain,
% 221.16/221.40 ((~((B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))))))) | (B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3)))))),
% 221.16/221.40 inference(tautology,[status(thm)],[])).
% 221.16/221.40 tff(122,plain,
% 221.16/221.40 ((~((B!4 = union(B!4, difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), B!4) <=> member(tptp_fun_D_1(union(B!4, difference(B!4, C!3)), B!4), union(B!4, difference(B!4, C!3))))))) | (B!4 = union(B!4, difference(B!4, C!3)))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[121, 120])).
% 221.16/221.40 tff(123,plain,
% 221.16/221.40 (B!4 = union(B!4, difference(B!4, C!3))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[122, 74])).
% 221.16/221.40 tff(124,plain,
% 221.16/221.40 (difference(B!4, C!3) = difference(union(B!4, difference(B!4, C!3)), C!3)),
% 221.16/221.40 inference(monotonicity,[status(thm)],[123])).
% 221.16/221.40 tff(125,plain,
% 221.16/221.40 (difference(union(B!4, difference(B!4, C!3)), C!3) = difference(B!4, C!3)),
% 221.16/221.40 inference(symmetry,[status(thm)],[124])).
% 221.16/221.40 tff(126,plain,
% 221.16/221.40 (intersection(B!4, D!2) = intersection(union(B!4, difference(B!4, C!3)), D!2)),
% 221.16/221.40 inference(monotonicity,[status(thm)],[123])).
% 221.16/221.40 tff(127,plain,
% 221.16/221.40 (intersection(union(B!4, difference(B!4, C!3)), D!2) = intersection(B!4, D!2)),
% 221.16/221.40 inference(symmetry,[status(thm)],[126])).
% 221.16/221.40 tff(128,plain,
% 221.16/221.40 (union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3)) = union(intersection(B!4, D!2), difference(B!4, C!3))),
% 221.16/221.40 inference(monotonicity,[status(thm)],[127, 125])).
% 221.16/221.40 tff(129,plain,
% 221.16/221.40 (union(intersection(B!4, D!2), difference(B!4, C!3)) = union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))),
% 221.16/221.40 inference(symmetry,[status(thm)],[128])).
% 221.16/221.40 tff(130,plain,
% 221.16/221.40 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.16/221.40 inference(monotonicity,[status(thm)],[129])).
% 221.16/221.40 tff(131,plain,
% 221.16/221.40 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))) <=> (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))))),
% 221.16/221.40 inference(monotonicity,[status(thm)],[130])).
% 221.16/221.40 tff(132,assumption,(~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))), introduced(assumption)).
% 221.16/221.40 tff(133,assumption,(~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))), introduced(assumption)).
% 221.16/221.40 tff(134,plain,
% 221.16/221.40 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.16/221.40 inference(quant_inst,[status(thm)],[])).
% 221.16/221.40 tff(135,plain,
% 221.16/221.40 ($false),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[134, 88, 133])).
% 221.16/221.40 tff(136,plain,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.40 tff(137,plain,
% 221.16/221.40 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.16/221.40 inference(quant_inst,[status(thm)],[])).
% 221.16/221.40 tff(138,plain,
% 221.16/221.40 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[137, 88])).
% 221.16/221.40 tff(139,plain,
% 221.16/221.40 (intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(C!3, D!2)),
% 221.16/221.40 inference(symmetry,[status(thm)],[66])).
% 221.16/221.40 tff(140,plain,
% 221.16/221.40 (union(B!4, difference(B!4, C!3)) = B!4),
% 221.16/221.40 inference(symmetry,[status(thm)],[123])).
% 221.16/221.40 tff(141,plain,
% 221.16/221.40 (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = difference(B!4, difference(C!3, D!2))),
% 221.16/221.40 inference(monotonicity,[status(thm)],[140, 139])).
% 221.16/221.40 tff(142,plain,
% 221.16/221.40 (difference(B!4, difference(C!3, D!2)) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.16/221.40 inference(symmetry,[status(thm)],[141])).
% 221.16/221.40 tff(143,plain,
% 221.16/221.40 ((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.16/221.40 inference(commutativity,[status(thm)],[])).
% 221.16/221.40 tff(144,plain,
% 221.16/221.40 ((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(B!4, difference(C!3, D!2))) <=> (intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.16/221.40 inference(monotonicity,[status(thm)],[142])).
% 221.16/221.40 tff(145,plain,
% 221.16/221.40 ((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(B!4, difference(C!3, D!2))) <=> (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.16/221.40 inference(transitivity,[status(thm)],[144, 143])).
% 221.16/221.40 tff(146,plain,
% 221.16/221.40 ((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> (intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(B!4, difference(C!3, D!2)))),
% 221.16/221.40 inference(symmetry,[status(thm)],[145])).
% 221.16/221.40 tff(147,assumption,((~((~(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(C!3, B!4), intersection(D!2, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(C!3, B!4), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))) | (~((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))))), introduced(assumption)).
% 221.16/221.40 tff(148,plain,
% 221.16/221.40 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(C!3, B!4), intersection(D!2, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(C!3, B!4), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))) | (~((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))))))),
% 221.16/221.40 inference(quant_inst,[status(thm)],[])).
% 221.16/221.40 tff(149,plain,
% 221.16/221.40 ($false),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[148, 59, 147])).
% 221.16/221.40 tff(150,plain,(~((~((~(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(C!3, B!4), intersection(D!2, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(C!3, B!4), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))) | (~((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))))))), inference(lemma,lemma(discharge,[]))).
% 221.16/221.40 tff(151,plain,
% 221.16/221.40 (((~((~(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(C!3, B!4), intersection(D!2, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(C!3, B!4), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))) | (~((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))))) | ((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))))),
% 221.16/221.40 inference(tautology,[status(thm)],[])).
% 221.16/221.40 tff(152,plain,
% 221.16/221.40 ((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))),
% 221.16/221.40 inference(unit_resolution,[status(thm)],[151, 150])).
% 221.16/221.40 tff(153,plain,
% 221.16/221.40 (^[B: $i, C: $i] : refl((~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))))),
% 221.16/221.40 inference(bind,[status(th)],[])).
% 221.16/221.40 tff(154,plain,
% 221.16/221.40 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(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_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 221.16/221.40 inference(quant_intro,[status(thm)],[153])).
% 221.16/221.40 tff(155,plain,
% 221.16/221.40 (^[B: $i, C: $i] : rewrite((~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))))),
% 221.16/221.40 inference(bind,[status(th)],[])).
% 221.16/221.40 tff(156,plain,
% 221.16/221.40 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(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_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 221.16/221.40 inference(quant_intro,[status(thm)],[155])).
% 221.16/221.40 tff(157,plain,
% 221.16/221.40 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(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_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 221.16/221.41 inference(transitivity,[status(thm)],[156, 154])).
% 221.16/221.41 tff(158,plain,
% 221.16/221.41 (^[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_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))) <=> (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))), ((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))) <=> (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))), rewrite((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))), ((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))))),
% 221.16/221.41 inference(bind,[status(th)],[])).
% 221.16/221.41 tff(159,plain,
% 221.16/221.41 (![B: $i, C: $i] : (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(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_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 221.16/221.41 inference(quant_intro,[status(thm)],[158])).
% 221.16/221.41 tff(160,plain,
% 221.16/221.41 (![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)))),
% 221.16/221.41 inference(rewrite,[status(thm)],[])).
% 221.16/221.41 tff(161,plain,
% 221.16/221.41 (^[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))))),
% 221.16/221.41 inference(bind,[status(th)],[])).
% 221.16/221.41 tff(162,plain,
% 221.16/221.41 (![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)))),
% 221.16/221.41 inference(quant_intro,[status(thm)],[161])).
% 221.16/221.41 tff(163,axiom,(![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : (member(D, B) => member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','subset_defn')).
% 221.16/221.41 tff(164,plain,
% 221.16/221.41 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 221.16/221.41 inference(modus_ponens,[status(thm)],[163, 162])).
% 221.16/221.41 tff(165,plain,
% 221.16/221.41 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 221.16/221.41 inference(modus_ponens,[status(thm)],[164, 160])).
% 221.16/221.41 tff(166,plain,(
% 221.16/221.41 ![B: $i, C: $i] : (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))),
% 221.16/221.41 inference(skolemize,[status(sab)],[165])).
% 221.16/221.41 tff(167,plain,
% 221.16/221.41 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 221.16/221.41 inference(modus_ponens,[status(thm)],[166, 159])).
% 221.16/221.41 tff(168,plain,
% 221.16/221.41 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 221.16/221.41 inference(modus_ponens,[status(thm)],[167, 157])).
% 221.16/221.41 tff(169,plain,
% 221.16/221.41 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4))))) | (~(subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) | (~((~member(tptp_fun_D_0(union(C!3, B!4), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))) | member(tptp_fun_D_0(union(C!3, B!4), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))))))))),
% 221.16/221.41 inference(quant_inst,[status(thm)],[])).
% 221.16/221.41 tff(170,plain,
% 221.16/221.41 (~((~((~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4))))) | (~(subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) | (~((~member(tptp_fun_D_0(union(C!3, B!4), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))) | member(tptp_fun_D_0(union(C!3, B!4), difference(B!4, difference(C!3, D!2))), union(C!3, B!4)))))))),
% 221.16/221.41 inference(unit_resolution,[status(thm)],[169, 168])).
% 221.16/221.41 tff(171,plain,
% 221.16/221.41 (((~((~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4))))) | (~(subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) | (~((~member(tptp_fun_D_0(union(C!3, B!4), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))) | member(tptp_fun_D_0(union(C!3, B!4), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))))))) | ((~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4))))),
% 221.16/221.41 inference(tautology,[status(thm)],[])).
% 221.16/221.41 tff(172,plain,
% 221.16/221.41 ((~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4)))),
% 221.16/221.41 inference(unit_resolution,[status(thm)],[171, 170])).
% 221.16/221.41 tff(173,plain,
% 221.16/221.41 (^[B: $i, C: $i] : refl((union(B, C) = union(C, B)) <=> (union(B, C) = union(C, B)))),
% 221.16/221.41 inference(bind,[status(th)],[])).
% 221.16/221.41 tff(174,plain,
% 221.16/221.41 (![B: $i, C: $i] : (union(B, C) = union(C, B)) <=> ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 221.16/221.41 inference(quant_intro,[status(thm)],[173])).
% 221.16/221.41 tff(175,plain,
% 221.16/221.41 (![B: $i, C: $i] : (union(B, C) = union(C, B)) <=> ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 221.16/221.41 inference(rewrite,[status(thm)],[])).
% 221.16/221.41 tff(176,axiom,(![B: $i, C: $i] : (union(B, C) = union(C, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','commutativity_of_union')).
% 221.16/221.41 tff(177,plain,
% 221.16/221.41 (![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 221.16/221.41 inference(modus_ponens,[status(thm)],[176, 175])).
% 221.16/221.41 tff(178,plain,(
% 221.16/221.41 ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 221.16/221.41 inference(skolemize,[status(sab)],[177])).
% 221.16/221.41 tff(179,plain,
% 221.16/221.41 (![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 221.16/221.41 inference(modus_ponens,[status(thm)],[178, 174])).
% 221.16/221.41 tff(180,plain,
% 221.16/221.41 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(B!4, C!3) = union(C!3, B!4))),
% 221.16/221.41 inference(quant_inst,[status(thm)],[])).
% 221.16/221.41 tff(181,plain,
% 221.16/221.41 (union(B!4, C!3) = union(C!3, B!4)),
% 221.16/221.41 inference(unit_resolution,[status(thm)],[180, 179])).
% 221.16/221.41 tff(182,plain,
% 221.16/221.41 (union(B!4, C!3) = union(union(B!4, difference(B!4, C!3)), C!3)),
% 221.16/221.41 inference(monotonicity,[status(thm)],[123])).
% 221.16/221.41 tff(183,plain,
% 221.16/221.41 (union(union(B!4, difference(B!4, C!3)), C!3) = union(B!4, C!3)),
% 221.16/221.41 inference(symmetry,[status(thm)],[182])).
% 221.16/221.41 tff(184,plain,
% 221.16/221.41 (union(union(B!4, difference(B!4, C!3)), C!3) = union(C!3, B!4)),
% 221.16/221.41 inference(transitivity,[status(thm)],[183, 181])).
% 221.16/221.41 tff(185,plain,
% 221.16/221.41 (difference(B!4, difference(C!3, D!2)) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.16/221.41 inference(monotonicity,[status(thm)],[123, 66])).
% 221.16/221.41 tff(186,plain,
% 221.16/221.41 (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = difference(B!4, difference(C!3, D!2))),
% 221.16/221.41 inference(symmetry,[status(thm)],[185])).
% 221.16/221.41 tff(187,plain,
% 221.16/221.41 (subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) <=> subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))),
% 221.16/221.41 inference(monotonicity,[status(thm)],[186, 184])).
% 221.16/221.41 tff(188,plain,
% 221.16/221.41 (subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) <=> subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.16/221.41 inference(symmetry,[status(thm)],[187])).
% 221.16/221.41 tff(189,plain,
% 221.16/221.41 ((~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> (~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.16/221.41 inference(monotonicity,[status(thm)],[188])).
% 221.16/221.41 tff(190,assumption,(~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), introduced(assumption)).
% 221.16/221.41 tff(191,plain,
% 221.16/221.41 (~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.16/221.41 inference(modus_ponens,[status(thm)],[190, 189])).
% 221.16/221.41 tff(192,plain,
% 221.16/221.41 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))))))),
% 221.16/221.41 inference(rewrite,[status(thm)],[])).
% 221.16/221.41 tff(193,plain,
% 221.16/221.41 ((~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~(subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) | (~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))))))) <=> (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))))))),
% 221.16/221.41 inference(rewrite,[status(thm)],[])).
% 221.16/221.41 tff(194,plain,
% 221.16/221.41 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~(subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) | (~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3))))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))))))),
% 221.16/221.41 inference(monotonicity,[status(thm)],[193])).
% 221.16/221.41 tff(195,plain,
% 221.16/221.41 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~(subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) | (~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3))))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))))))),
% 221.21/221.41 inference(transitivity,[status(thm)],[194, 192])).
% 221.21/221.41 tff(196,plain,
% 221.21/221.41 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~(subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) | (~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3))))))))),
% 221.21/221.41 inference(quant_inst,[status(thm)],[])).
% 221.21/221.41 tff(197,plain,
% 221.21/221.41 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))))))),
% 221.21/221.41 inference(modus_ponens,[status(thm)],[196, 195])).
% 221.21/221.41 tff(198,plain,
% 221.21/221.41 (~((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))))),
% 221.21/221.41 inference(unit_resolution,[status(thm)],[197, 168])).
% 221.21/221.41 tff(199,plain,
% 221.21/221.41 (((~((~subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))) | ![D: $i] : ((~member(D, difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(D, union(union(B!4, difference(B!4, C!3)), C!3))))) | (~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))))) | ((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(200,plain,
% 221.21/221.42 ((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[199, 198])).
% 221.21/221.42 tff(201,plain,
% 221.21/221.42 (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.42 inference(monotonicity,[status(thm)],[186])).
% 221.21/221.42 tff(202,plain,
% 221.21/221.42 (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))) <=> member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.21/221.42 inference(symmetry,[status(thm)],[201])).
% 221.21/221.42 tff(203,plain,
% 221.21/221.42 (tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) = tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.42 inference(monotonicity,[status(thm)],[186])).
% 221.21/221.42 tff(204,plain,
% 221.21/221.42 (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.42 inference(monotonicity,[status(thm)],[203, 186])).
% 221.21/221.42 tff(205,assumption,(~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))), introduced(assumption)).
% 221.21/221.42 tff(206,plain,
% 221.21/221.42 (((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(207,plain,
% 221.21/221.42 (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[206, 205])).
% 221.21/221.42 tff(208,plain,
% 221.21/221.42 (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.42 inference(modus_ponens,[status(thm)],[207, 204])).
% 221.21/221.42 tff(209,plain,
% 221.21/221.42 (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.21/221.42 inference(modus_ponens,[status(thm)],[208, 202])).
% 221.21/221.42 tff(210,plain,
% 221.21/221.42 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))),
% 221.21/221.42 inference(quant_inst,[status(thm)],[])).
% 221.21/221.42 tff(211,plain,
% 221.21/221.42 (~(((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[210, 11])).
% 221.21/221.42 tff(212,plain,
% 221.21/221.42 ((~![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(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))))),
% 221.21/221.42 inference(quant_inst,[status(thm)],[])).
% 221.21/221.42 tff(213,plain,
% 221.21/221.42 (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3))))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[212, 88])).
% 221.21/221.42 tff(214,plain,
% 221.21/221.42 (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)) <=> member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.21/221.42 inference(monotonicity,[status(thm)],[203])).
% 221.21/221.42 tff(215,plain,
% 221.21/221.42 ((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3))) <=> (~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.21/221.42 inference(monotonicity,[status(thm)],[214])).
% 221.21/221.42 tff(216,plain,
% 221.21/221.42 (((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3))) | (~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(217,plain,
% 221.21/221.42 (~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[216, 205])).
% 221.21/221.42 tff(218,plain,
% 221.21/221.42 (~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.21/221.42 inference(modus_ponens,[status(thm)],[217, 215])).
% 221.21/221.42 tff(219,plain,
% 221.21/221.42 ((~(member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) | (~(member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(220,plain,
% 221.21/221.42 ((~(member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)) <=> (member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))))) | (~(member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[219, 218])).
% 221.21/221.42 tff(221,plain,
% 221.21/221.42 (~(member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3))))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[220, 213])).
% 221.21/221.42 tff(222,plain,
% 221.21/221.42 ((member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), C!3) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))) | (~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3))))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(223,plain,
% 221.21/221.42 (~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[222, 221])).
% 221.21/221.42 tff(224,plain,
% 221.21/221.42 (((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(225,plain,
% 221.21/221.42 ((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[224, 223])).
% 221.21/221.42 tff(226,plain,
% 221.21/221.42 ((((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(227,plain,
% 221.21/221.42 (~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(B!4, difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[226, 225, 211])).
% 221.21/221.42 tff(228,plain,
% 221.21/221.42 ($false),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[227, 209])).
% 221.21/221.42 tff(229,plain,((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3))), inference(lemma,lemma(discharge,[]))).
% 221.21/221.42 tff(230,plain,
% 221.21/221.42 ((~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))) | (~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(231,plain,
% 221.21/221.42 ((~((~((~member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_0(union(union(B!4, difference(B!4, C!3)), C!3), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3)))) | subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[230, 229])).
% 221.21/221.42 tff(232,plain,
% 221.21/221.42 (subset(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(union(B!4, difference(B!4, C!3)), C!3))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[231, 200])).
% 221.21/221.42 tff(233,plain,
% 221.21/221.42 ($false),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[232, 191])).
% 221.21/221.42 tff(234,plain,(subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), inference(lemma,lemma(discharge,[]))).
% 221.21/221.42 tff(235,plain,
% 221.21/221.42 ((~((~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4))))) | (~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4)))),
% 221.21/221.42 inference(tautology,[status(thm)],[])).
% 221.21/221.42 tff(236,plain,
% 221.21/221.42 ((~((~subset(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4))))) | ![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4)))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[235, 234])).
% 221.21/221.42 tff(237,plain,
% 221.21/221.42 (![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4)))),
% 221.21/221.42 inference(unit_resolution,[status(thm)],[236, 172])).
% 221.21/221.42 tff(238,plain,
% 221.21/221.42 (tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) = tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.42 inference(monotonicity,[status(thm)],[186])).
% 221.21/221.42 tff(239,plain,
% 221.21/221.42 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.42 inference(monotonicity,[status(thm)],[238, 186])).
% 221.21/221.42 tff(240,assumption,(~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))), introduced(assumption)).
% 221.21/221.42 tff(241,plain,
% 221.21/221.42 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.42 inference(monotonicity,[status(thm)],[238])).
% 221.21/221.42 tff(242,assumption,(~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.21/221.42 tff(243,plain,
% 221.21/221.42 ((member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.43 inference(tautology,[status(thm)],[])).
% 221.21/221.43 tff(244,plain,
% 221.21/221.43 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[243, 242, 240])).
% 221.21/221.43 tff(245,plain,
% 221.21/221.43 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.43 inference(modus_ponens,[status(thm)],[244, 241])).
% 221.21/221.43 tff(246,plain,
% 221.21/221.43 ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))),
% 221.21/221.43 inference(monotonicity,[status(thm)],[239])).
% 221.21/221.43 tff(247,plain,
% 221.21/221.43 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.43 inference(modus_ponens,[status(thm)],[242, 246])).
% 221.21/221.43 tff(248,plain,
% 221.21/221.43 (((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.43 inference(tautology,[status(thm)],[])).
% 221.21/221.43 tff(249,plain,
% 221.21/221.43 ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[248, 247])).
% 221.21/221.43 tff(250,assumption,(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))), introduced(assumption)).
% 221.21/221.43 tff(251,plain,
% 221.21/221.43 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))),
% 221.21/221.43 inference(quant_inst,[status(thm)],[])).
% 221.21/221.43 tff(252,plain,
% 221.21/221.43 ($false),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[251, 25, 250])).
% 221.21/221.43 tff(253,plain,(~(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))), inference(lemma,lemma(discharge,[]))).
% 221.21/221.43 tff(254,plain,
% 221.21/221.43 ((((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (~((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))),
% 221.21/221.43 inference(tautology,[status(thm)],[])).
% 221.21/221.43 tff(255,plain,
% 221.21/221.43 ((~((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[254, 253])).
% 221.21/221.43 tff(256,plain,
% 221.21/221.43 ($false),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[255, 249, 245])).
% 221.21/221.43 tff(257,plain,(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))), inference(lemma,lemma(discharge,[]))).
% 221.21/221.43 tff(258,plain,
% 221.21/221.43 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[257, 240])).
% 221.21/221.43 tff(259,plain,
% 221.21/221.43 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.43 inference(modus_ponens,[status(thm)],[258, 239])).
% 221.21/221.43 tff(260,plain,
% 221.21/221.43 ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) <=> (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))),
% 221.21/221.43 inference(monotonicity,[status(thm)],[241])).
% 221.21/221.43 tff(261,plain,
% 221.21/221.43 ((member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))),
% 221.21/221.43 inference(tautology,[status(thm)],[])).
% 221.21/221.43 tff(262,plain,
% 221.21/221.43 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[261, 258, 240])).
% 221.21/221.43 tff(263,plain,
% 221.21/221.43 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.43 inference(modus_ponens,[status(thm)],[262, 260])).
% 221.21/221.43 tff(264,plain,
% 221.21/221.43 ((((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.43 inference(tautology,[status(thm)],[])).
% 221.21/221.43 tff(265,plain,
% 221.21/221.43 (((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[264, 253])).
% 221.21/221.43 tff(266,plain,
% 221.21/221.43 ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[265, 263])).
% 221.21/221.43 tff(267,plain,
% 221.21/221.43 ((~((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2))))),
% 221.21/221.43 inference(tautology,[status(thm)],[])).
% 221.21/221.43 tff(268,plain,
% 221.21/221.43 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[267, 266, 259])).
% 221.21/221.43 tff(269,plain,
% 221.21/221.43 (((~![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4)))) | ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4)))) <=> ((~![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4)))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4)))),
% 221.21/221.43 inference(rewrite,[status(thm)],[])).
% 221.21/221.43 tff(270,plain,
% 221.21/221.43 ((~![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4)))) | ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4)))),
% 221.21/221.43 inference(quant_inst,[status(thm)],[])).
% 221.21/221.43 tff(271,plain,
% 221.21/221.43 ((~![D: $i] : ((~member(D, difference(B!4, difference(C!3, D!2)))) | member(D, union(C!3, B!4)))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), difference(B!4, difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(B!4, difference(C!3, D!2))), union(C!3, B!4))),
% 221.21/221.43 inference(modus_ponens,[status(thm)],[270, 269])).
% 221.21/221.43 tff(272,plain,
% 221.21/221.43 ($false),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[271, 268, 259, 237])).
% 221.21/221.43 tff(273,plain,(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))), inference(lemma,lemma(discharge,[]))).
% 221.21/221.43 tff(274,plain,
% 221.21/221.43 ((~((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))))) | (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))),
% 221.21/221.43 inference(tautology,[status(thm)],[])).
% 221.21/221.43 tff(275,plain,
% 221.21/221.43 ((~((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))))) | (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[274, 273])).
% 221.21/221.43 tff(276,plain,
% 221.21/221.43 (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[275, 152])).
% 221.21/221.43 tff(277,plain,
% 221.21/221.43 (intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(B!4, difference(C!3, D!2))),
% 221.21/221.43 inference(modus_ponens,[status(thm)],[276, 146])).
% 221.21/221.43 tff(278,assumption,(~(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(B!4, difference(C!3, D!2)))), introduced(assumption)).
% 221.21/221.43 tff(279,plain,
% 221.21/221.43 ($false),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[278, 277])).
% 221.21/221.43 tff(280,plain,(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(B!4, difference(C!3, D!2))), inference(lemma,lemma(discharge,[]))).
% 221.21/221.43 tff(281,assumption,(~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), introduced(assumption)).
% 221.21/221.43 tff(282,assumption,(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.21/221.43 tff(283,plain,
% 221.21/221.43 ((member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))) | (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.21/221.43 inference(tautology,[status(thm)],[])).
% 221.21/221.43 tff(284,plain,
% 221.21/221.43 (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.21/221.43 inference(unit_resolution,[status(thm)],[283, 282, 281])).
% 221.21/221.43 tff(285,plain,
% 221.21/221.43 ((member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.21/221.44 inference(tautology,[status(thm)],[])).
% 221.21/221.44 tff(286,plain,
% 221.21/221.44 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.21/221.44 inference(unit_resolution,[status(thm)],[285, 282])).
% 221.21/221.44 tff(287,assumption,(~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))))), introduced(assumption)).
% 221.21/221.44 tff(288,plain,
% 221.21/221.44 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.21/221.44 inference(quant_inst,[status(thm)],[])).
% 221.21/221.44 tff(289,plain,
% 221.21/221.44 ($false),
% 221.21/221.44 inference(unit_resolution,[status(thm)],[288, 88, 287])).
% 221.21/221.44 tff(290,plain,(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.21/221.44 tff(291,plain,
% 221.21/221.44 ((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.21/221.44 inference(tautology,[status(thm)],[])).
% 221.21/221.44 tff(292,plain,
% 221.21/221.44 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.21/221.44 inference(unit_resolution,[status(thm)],[291, 290])).
% 221.21/221.44 tff(293,plain,
% 221.21/221.44 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.21/221.44 inference(unit_resolution,[status(thm)],[292, 286])).
% 221.21/221.44 tff(294,plain,
% 221.21/221.44 (^[B: $i, C: $i] : refl((intersection(B, C) = intersection(C, B)) <=> (intersection(B, C) = intersection(C, B)))),
% 221.21/221.44 inference(bind,[status(th)],[])).
% 221.21/221.44 tff(295,plain,
% 221.21/221.44 (![B: $i, C: $i] : (intersection(B, C) = intersection(C, B)) <=> ![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 221.21/221.44 inference(quant_intro,[status(thm)],[294])).
% 221.21/221.44 tff(296,plain,
% 221.21/221.44 (![B: $i, C: $i] : (intersection(B, C) = intersection(C, B)) <=> ![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 221.21/221.44 inference(rewrite,[status(thm)],[])).
% 221.21/221.44 tff(297,axiom,(![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','commutativity_of_intersection')).
% 221.21/221.44 tff(298,plain,
% 221.21/221.44 (![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 221.21/221.44 inference(modus_ponens,[status(thm)],[297, 296])).
% 221.21/221.44 tff(299,plain,(
% 221.21/221.44 ![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 221.21/221.44 inference(skolemize,[status(sab)],[298])).
% 221.21/221.44 tff(300,plain,
% 221.21/221.44 (![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 221.21/221.44 inference(modus_ponens,[status(thm)],[299, 295])).
% 221.21/221.44 tff(301,plain,
% 221.21/221.44 ((~![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))) | (intersection(B!4, D!2) = intersection(D!2, B!4))),
% 221.21/221.44 inference(quant_inst,[status(thm)],[])).
% 221.21/221.44 tff(302,plain,
% 221.21/221.44 (intersection(B!4, D!2) = intersection(D!2, B!4)),
% 221.21/221.44 inference(unit_resolution,[status(thm)],[301, 300])).
% 221.21/221.44 tff(303,plain,
% 221.21/221.44 (intersection(union(B!4, difference(B!4, C!3)), D!2) = intersection(D!2, B!4)),
% 221.21/221.44 inference(transitivity,[status(thm)],[127, 302])).
% 221.21/221.44 tff(304,plain,
% 221.21/221.44 (union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))),
% 221.21/221.44 inference(monotonicity,[status(thm)],[303, 186])).
% 221.21/221.44 tff(305,plain,
% 221.21/221.44 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.21/221.44 inference(monotonicity,[status(thm)],[304])).
% 221.21/221.44 tff(306,plain,
% 221.21/221.44 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.21/221.44 inference(symmetry,[status(thm)],[305])).
% 221.21/221.44 tff(307,plain,
% 221.21/221.44 ((~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))) <=> (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))),
% 221.21/221.44 inference(monotonicity,[status(thm)],[306])).
% 221.21/221.44 tff(308,assumption,(~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))), introduced(assumption)).
% 221.21/221.44 tff(309,plain,
% 221.21/221.44 (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.21/221.44 inference(modus_ponens,[status(thm)],[308, 307])).
% 221.21/221.44 tff(310,assumption,(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), introduced(assumption)).
% 221.21/221.44 tff(311,plain,
% 221.23/221.44 ($false),
% 221.23/221.44 inference(unit_resolution,[status(thm)],[310, 309])).
% 221.23/221.44 tff(312,plain,((~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.44 tff(313,plain,
% 221.23/221.44 ($false),
% 221.23/221.44 inference(unit_resolution,[status(thm)],[312, 293, 284])).
% 221.23/221.44 tff(314,plain,((~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.44 tff(315,plain,
% 221.23/221.44 (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.44 inference(unit_resolution,[status(thm)],[314, 281])).
% 221.23/221.44 tff(316,plain,
% 221.23/221.44 (intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.44 inference(transitivity,[status(thm)],[280, 142])).
% 221.23/221.44 tff(317,plain,
% 221.23/221.44 (tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) = tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.44 inference(monotonicity,[status(thm)],[316])).
% 221.23/221.44 tff(318,plain,
% 221.23/221.44 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.44 inference(monotonicity,[status(thm)],[317, 316])).
% 221.23/221.44 tff(319,assumption,(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))), introduced(assumption)).
% 221.23/221.44 tff(320,plain,
% 221.23/221.44 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.44 inference(modus_ponens,[status(thm)],[319, 318])).
% 221.23/221.44 tff(321,assumption,(~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.23/221.44 tff(322,plain,
% 221.23/221.44 ($false),
% 221.23/221.44 inference(unit_resolution,[status(thm)],[321, 320])).
% 221.23/221.44 tff(323,plain,((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.44 tff(324,plain,
% 221.23/221.44 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.23/221.44 inference(unit_resolution,[status(thm)],[323, 315])).
% 221.23/221.44 tff(325,plain,
% 221.23/221.44 (difference(B!4, difference(C!3, D!2)) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))),
% 221.23/221.44 inference(symmetry,[status(thm)],[280])).
% 221.23/221.44 tff(326,plain,
% 221.23/221.44 (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))),
% 221.23/221.44 inference(transitivity,[status(thm)],[141, 325])).
% 221.23/221.44 tff(327,plain,
% 221.23/221.44 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.23/221.44 inference(monotonicity,[status(thm)],[326])).
% 221.23/221.44 tff(328,plain,
% 221.23/221.44 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.44 inference(symmetry,[status(thm)],[327])).
% 221.23/221.44 tff(329,plain,
% 221.23/221.44 ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) <=> (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.44 inference(monotonicity,[status(thm)],[328])).
% 221.23/221.44 tff(330,assumption,(~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))), introduced(assumption)).
% 221.23/221.44 tff(331,plain,
% 221.23/221.44 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.44 inference(modus_ponens,[status(thm)],[330, 329])).
% 221.23/221.44 tff(332,assumption,(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.23/221.44 tff(333,plain,
% 221.23/221.44 ($false),
% 221.23/221.44 inference(unit_resolution,[status(thm)],[332, 331])).
% 221.23/221.44 tff(334,plain,((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.44 tff(335,plain,
% 221.23/221.44 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.44 inference(unit_resolution,[status(thm)],[334, 324])).
% 221.23/221.44 tff(336,assumption,(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.23/221.44 tff(337,plain,
% 221.23/221.44 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))),
% 221.23/221.44 inference(quant_inst,[status(thm)],[])).
% 221.23/221.44 tff(338,plain,
% 221.23/221.44 ($false),
% 221.23/221.44 inference(unit_resolution,[status(thm)],[337, 11, 336])).
% 221.23/221.44 tff(339,plain,(~(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.44 tff(340,plain,
% 221.23/221.44 ((((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.45 inference(tautology,[status(thm)],[])).
% 221.23/221.45 tff(341,plain,
% 221.23/221.45 (((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[340, 339])).
% 221.23/221.45 tff(342,plain,
% 221.23/221.45 ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[341, 335])).
% 221.23/221.45 tff(343,assumption,(~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))), introduced(assumption)).
% 221.23/221.45 tff(344,plain,
% 221.23/221.45 ((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.45 inference(tautology,[status(thm)],[])).
% 221.23/221.45 tff(345,plain,
% 221.23/221.45 (~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[344, 315, 343])).
% 221.23/221.45 tff(346,plain,
% 221.23/221.45 ((member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.45 inference(tautology,[status(thm)],[])).
% 221.23/221.45 tff(347,plain,
% 221.23/221.45 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[346, 281, 315])).
% 221.23/221.45 tff(348,assumption,(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))), introduced(assumption)).
% 221.23/221.45 tff(349,plain,
% 221.23/221.45 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.45 inference(modus_ponens,[status(thm)],[348, 306])).
% 221.23/221.45 tff(350,assumption,(~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), introduced(assumption)).
% 221.23/221.45 tff(351,plain,
% 221.23/221.45 ($false),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[350, 349])).
% 221.23/221.45 tff(352,plain,(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.45 tff(353,plain,
% 221.23/221.45 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[352, 347])).
% 221.23/221.45 tff(354,plain,
% 221.23/221.45 ((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))))) | (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.45 inference(tautology,[status(thm)],[])).
% 221.23/221.45 tff(355,plain,
% 221.23/221.45 ((~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[354, 290])).
% 221.23/221.45 tff(356,plain,
% 221.23/221.45 ($false),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[355, 353, 345])).
% 221.23/221.45 tff(357,plain,((member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.45 tff(358,plain,
% 221.23/221.45 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[357, 281])).
% 221.23/221.45 tff(359,plain,
% 221.23/221.45 (tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) = tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.45 inference(monotonicity,[status(thm)],[326])).
% 221.23/221.45 tff(360,plain,
% 221.23/221.45 (member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.45 inference(monotonicity,[status(thm)],[359])).
% 221.23/221.45 tff(361,plain,
% 221.23/221.45 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.45 inference(symmetry,[status(thm)],[360])).
% 221.23/221.45 tff(362,plain,
% 221.23/221.45 ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.45 inference(monotonicity,[status(thm)],[361])).
% 221.23/221.45 tff(363,assumption,(~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))), introduced(assumption)).
% 221.23/221.45 tff(364,plain,
% 221.23/221.45 (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.45 inference(modus_ponens,[status(thm)],[363, 362])).
% 221.23/221.45 tff(365,assumption,(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))), introduced(assumption)).
% 221.23/221.45 tff(366,plain,
% 221.23/221.45 ($false),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[365, 364])).
% 221.23/221.45 tff(367,plain,(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)) | (~member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.45 tff(368,plain,
% 221.23/221.45 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[367, 358])).
% 221.23/221.45 tff(369,assumption,(~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.45 tff(370,plain,
% 221.23/221.45 ((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> (intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))),
% 221.23/221.45 inference(commutativity,[status(thm)],[])).
% 221.23/221.45 tff(371,plain,
% 221.23/221.45 ((intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))) <=> (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.45 inference(symmetry,[status(thm)],[370])).
% 221.23/221.45 tff(372,plain,
% 221.23/221.45 (intersection(D!2, B!4) = intersection(B!4, D!2)),
% 221.23/221.45 inference(symmetry,[status(thm)],[302])).
% 221.23/221.45 tff(373,plain,
% 221.23/221.45 (intersection(D!2, B!4) = intersection(union(B!4, difference(B!4, C!3)), D!2)),
% 221.23/221.45 inference(transitivity,[status(thm)],[372, 126])).
% 221.23/221.45 tff(374,plain,
% 221.23/221.45 (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.45 inference(monotonicity,[status(thm)],[373])).
% 221.23/221.45 tff(375,plain,
% 221.23/221.45 (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))),
% 221.23/221.45 inference(symmetry,[status(thm)],[374])).
% 221.23/221.45 tff(376,plain,
% 221.23/221.45 ((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.45 inference(monotonicity,[status(thm)],[375])).
% 221.23/221.45 tff(377,plain,
% 221.23/221.45 ((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> (intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))),
% 221.23/221.45 inference(transitivity,[status(thm)],[376, 370])).
% 221.23/221.45 tff(378,plain,
% 221.23/221.45 ((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.45 inference(transitivity,[status(thm)],[377, 371])).
% 221.23/221.45 tff(379,plain,
% 221.23/221.45 ((~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.45 inference(monotonicity,[status(thm)],[378])).
% 221.23/221.45 tff(380,plain,
% 221.23/221.45 (~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.45 inference(modus_ponens,[status(thm)],[369, 379])).
% 221.23/221.45 tff(381,assumption,(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2))), introduced(assumption)).
% 221.23/221.45 tff(382,plain,
% 221.23/221.45 ($false),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[381, 380])).
% 221.23/221.45 tff(383,plain,((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.45 tff(384,plain,
% 221.23/221.45 (~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[383, 369])).
% 221.23/221.45 tff(385,plain,
% 221.23/221.45 ((intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))) <=> (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.45 inference(commutativity,[status(thm)],[])).
% 221.23/221.45 tff(386,assumption,(intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), introduced(assumption)).
% 221.23/221.45 tff(387,plain,
% 221.23/221.45 (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2))),
% 221.23/221.45 inference(modus_ponens,[status(thm)],[386, 385])).
% 221.23/221.45 tff(388,assumption,(~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.45 tff(389,plain,
% 221.23/221.45 ($false),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[388, 387])).
% 221.23/221.45 tff(390,plain,((~(intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))) | (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.45 tff(391,plain,
% 221.23/221.45 (~(intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))),
% 221.23/221.45 inference(unit_resolution,[status(thm)],[390, 384])).
% 221.23/221.45 tff(392,assumption,((~((~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (~((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))), introduced(assumption)).
% 221.23/221.45 tff(393,plain,
% 221.23/221.45 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (~((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))))),
% 221.23/221.46 inference(quant_inst,[status(thm)],[])).
% 221.23/221.46 tff(394,plain,
% 221.23/221.46 ($false),
% 221.23/221.46 inference(unit_resolution,[status(thm)],[393, 59, 392])).
% 221.23/221.46 tff(395,plain,(~((~((~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (~((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.46 tff(396,plain,
% 221.23/221.46 (((~((~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (~((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))) | ((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))))),
% 221.23/221.46 inference(tautology,[status(thm)],[])).
% 221.23/221.46 tff(397,plain,
% 221.23/221.46 ((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.46 inference(unit_resolution,[status(thm)],[396, 395])).
% 221.23/221.46 tff(398,assumption,((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), introduced(assumption)).
% 221.23/221.46 tff(399,plain,
% 221.23/221.46 ((intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))) <=> (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.46 inference(symmetry,[status(thm)],[377])).
% 221.23/221.46 tff(400,plain,
% 221.23/221.46 ((~(intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))) <=> (~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.46 inference(monotonicity,[status(thm)],[399])).
% 221.23/221.46 tff(401,assumption,(~(intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))), introduced(assumption)).
% 221.23/221.46 tff(402,plain,
% 221.23/221.46 (~(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.46 inference(modus_ponens,[status(thm)],[401, 400])).
% 221.23/221.46 tff(403,plain,
% 221.23/221.46 ((~((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.46 inference(tautology,[status(thm)],[])).
% 221.23/221.46 tff(404,plain,
% 221.23/221.46 (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.46 inference(unit_resolution,[status(thm)],[403, 402, 398])).
% 221.23/221.46 tff(405,plain,
% 221.23/221.46 (tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) = tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))),
% 221.23/221.46 inference(monotonicity,[status(thm)],[375])).
% 221.23/221.46 tff(406,plain,
% 221.23/221.46 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.46 inference(monotonicity,[status(thm)],[405])).
% 221.23/221.46 tff(407,plain,
% 221.23/221.46 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.46 inference(symmetry,[status(thm)],[406])).
% 221.23/221.46 tff(408,plain,
% 221.23/221.46 ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))) <=> (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.46 inference(monotonicity,[status(thm)],[407])).
% 221.23/221.46 tff(409,assumption,(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))), introduced(assumption)).
% 221.23/221.46 tff(410,plain,
% 221.23/221.46 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))))),
% 221.23/221.46 inference(quant_inst,[status(thm)],[])).
% 221.23/221.46 tff(411,plain,
% 221.23/221.46 ($false),
% 221.23/221.46 inference(unit_resolution,[status(thm)],[410, 11, 409])).
% 221.23/221.46 tff(412,plain,(~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.46 tff(413,assumption,(~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.46 tff(414,plain,
% 221.23/221.46 (((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.46 inference(tautology,[status(thm)],[])).
% 221.23/221.46 tff(415,plain,
% 221.23/221.46 ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.46 inference(unit_resolution,[status(thm)],[414, 413])).
% 221.23/221.46 tff(416,plain,
% 221.23/221.46 ((((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | (~((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.46 inference(tautology,[status(thm)],[])).
% 221.23/221.46 tff(417,plain,
% 221.23/221.46 (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.46 inference(unit_resolution,[status(thm)],[416, 415, 412])).
% 221.23/221.46 tff(418,plain,
% 221.23/221.46 (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.46 inference(modus_ponens,[status(thm)],[417, 408])).
% 221.23/221.46 tff(419,plain,
% 221.23/221.46 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.46 inference(monotonicity,[status(thm)],[405])).
% 221.23/221.46 tff(420,plain,
% 221.23/221.46 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.46 inference(symmetry,[status(thm)],[419])).
% 221.23/221.46 tff(421,plain,
% 221.23/221.46 ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.46 inference(monotonicity,[status(thm)],[420])).
% 221.23/221.46 tff(422,plain,
% 221.23/221.46 (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.46 inference(modus_ponens,[status(thm)],[413, 421])).
% 221.23/221.46 tff(423,plain,
% 221.23/221.46 ((member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.46 inference(tautology,[status(thm)],[])).
% 221.23/221.46 tff(424,plain,
% 221.23/221.46 ($false),
% 221.23/221.46 inference(unit_resolution,[status(thm)],[423, 422, 418, 404])).
% 221.23/221.46 tff(425,plain,((~((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))) | (intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.47 tff(426,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))) | (intersection(difference(C!3, D!2), difference(C!3, D!2)) = difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[425, 397])).
% 221.23/221.47 tff(427,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[426, 391])).
% 221.23/221.47 tff(428,plain,
% 221.23/221.47 (tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))) = tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.47 inference(monotonicity,[status(thm)],[374])).
% 221.23/221.47 tff(429,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.47 inference(monotonicity,[status(thm)],[428])).
% 221.23/221.47 tff(430,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.47 inference(symmetry,[status(thm)],[429])).
% 221.23/221.47 tff(431,plain,
% 221.23/221.47 ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.47 inference(monotonicity,[status(thm)],[430])).
% 221.23/221.47 tff(432,assumption,(~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.47 tff(433,plain,
% 221.23/221.47 (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.47 inference(modus_ponens,[status(thm)],[432, 431])).
% 221.23/221.47 tff(434,assumption,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.47 tff(435,plain,
% 221.23/221.47 ($false),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[434, 433])).
% 221.23/221.47 tff(436,plain,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.47 tff(437,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[436, 427])).
% 221.23/221.47 tff(438,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.47 inference(monotonicity,[status(thm)],[66])).
% 221.23/221.47 tff(439,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2))),
% 221.23/221.47 inference(symmetry,[status(thm)],[438])).
% 221.23/221.47 tff(440,assumption,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.47 tff(441,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2))),
% 221.23/221.47 inference(modus_ponens,[status(thm)],[440, 439])).
% 221.23/221.47 tff(442,assumption,(~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2))), introduced(assumption)).
% 221.23/221.47 tff(443,plain,
% 221.23/221.47 ($false),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[442, 441])).
% 221.23/221.47 tff(444,plain,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2)) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.47 tff(445,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[444, 437])).
% 221.23/221.47 tff(446,assumption,(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), C!3)) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2))), introduced(assumption)).
% 221.23/221.47 tff(447,plain,
% 221.23/221.47 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), C!3)) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2))))),
% 221.23/221.47 inference(quant_inst,[status(thm)],[])).
% 221.23/221.47 tff(448,plain,
% 221.23/221.47 ($false),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[447, 11, 446])).
% 221.23/221.47 tff(449,plain,(~(((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), C!3)) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.47 tff(450,plain,
% 221.23/221.47 ((((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), C!3)) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2))) | (~((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), C!3)) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2)))),
% 221.23/221.47 inference(tautology,[status(thm)],[])).
% 221.23/221.47 tff(451,plain,
% 221.23/221.47 ((~((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), C!3)) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(C!3, D!2)))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[450, 449])).
% 221.23/221.47 tff(452,plain,
% 221.23/221.47 (~((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), C!3)) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[451, 445])).
% 221.23/221.47 tff(453,plain,
% 221.23/221.47 (((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), C!3)) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2))),
% 221.23/221.47 inference(tautology,[status(thm)],[])).
% 221.23/221.47 tff(454,plain,
% 221.23/221.47 (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2)),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[453, 452])).
% 221.23/221.47 tff(455,plain,
% 221.23/221.47 ((difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))) | (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[403, 397])).
% 221.23/221.47 tff(456,plain,
% 221.23/221.47 (~(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[455, 369])).
% 221.23/221.47 tff(457,plain,
% 221.23/221.47 ((member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.47 inference(tautology,[status(thm)],[])).
% 221.23/221.47 tff(458,plain,
% 221.23/221.47 (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[457, 437, 456])).
% 221.23/221.47 tff(459,plain,
% 221.23/221.47 (tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) = tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4)))),
% 221.23/221.47 inference(symmetry,[status(thm)],[428])).
% 221.23/221.47 tff(460,plain,
% 221.23/221.47 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.47 inference(monotonicity,[status(thm)],[459])).
% 221.23/221.47 tff(461,plain,
% 221.23/221.47 ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))) <=> (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.47 inference(monotonicity,[status(thm)],[460])).
% 221.23/221.47 tff(462,assumption,(~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))), introduced(assumption)).
% 221.23/221.47 tff(463,plain,
% 221.23/221.47 (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.47 inference(modus_ponens,[status(thm)],[462, 461])).
% 221.23/221.47 tff(464,assumption,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))), introduced(assumption)).
% 221.23/221.47 tff(465,plain,
% 221.23/221.47 ($false),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[464, 463])).
% 221.23/221.47 tff(466,plain,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.47 tff(467,plain,
% 221.23/221.47 (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[466, 458])).
% 221.23/221.47 tff(468,plain,
% 221.23/221.47 ((((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.47 inference(tautology,[status(thm)],[])).
% 221.23/221.47 tff(469,plain,
% 221.23/221.47 (((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[468, 412])).
% 221.23/221.47 tff(470,plain,
% 221.23/221.47 ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.47 inference(unit_resolution,[status(thm)],[469, 467])).
% 221.23/221.47 tff(471,plain,
% 221.23/221.47 ((~((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(472,plain,
% 221.23/221.48 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[471, 470, 427])).
% 221.23/221.48 tff(473,plain,
% 221.23/221.48 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.48 inference(monotonicity,[status(thm)],[459, 373])).
% 221.23/221.48 tff(474,plain,
% 221.23/221.48 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)) <=> member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4))),
% 221.23/221.48 inference(symmetry,[status(thm)],[473])).
% 221.23/221.48 tff(475,assumption,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))), introduced(assumption)).
% 221.23/221.48 tff(476,plain,
% 221.23/221.48 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4))),
% 221.23/221.48 inference(modus_ponens,[status(thm)],[475, 474])).
% 221.23/221.48 tff(477,assumption,(~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4))), introduced(assumption)).
% 221.23/221.48 tff(478,plain,
% 221.23/221.48 ($false),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[477, 476])).
% 221.23/221.48 tff(479,plain,(member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4)) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(D!2, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.48 tff(480,plain,
% 221.23/221.48 (member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[479, 472])).
% 221.23/221.48 tff(481,plain,
% 221.23/221.48 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(D!2, B!4), D!2)) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2)))) | (~(subset(intersection(D!2, B!4), D!2) | (~((~member(tptp_fun_D_0(D!2, intersection(D!2, B!4)), intersection(D!2, B!4))) | member(tptp_fun_D_0(D!2, intersection(D!2, B!4)), D!2)))))))),
% 221.23/221.48 inference(quant_inst,[status(thm)],[])).
% 221.23/221.48 tff(482,plain,
% 221.23/221.48 (~((~((~subset(intersection(D!2, B!4), D!2)) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2)))) | (~(subset(intersection(D!2, B!4), D!2) | (~((~member(tptp_fun_D_0(D!2, intersection(D!2, B!4)), intersection(D!2, B!4))) | member(tptp_fun_D_0(D!2, intersection(D!2, B!4)), D!2))))))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[481, 168])).
% 221.23/221.48 tff(483,plain,
% 221.23/221.48 (((~((~subset(intersection(D!2, B!4), D!2)) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2)))) | (~(subset(intersection(D!2, B!4), D!2) | (~((~member(tptp_fun_D_0(D!2, intersection(D!2, B!4)), intersection(D!2, B!4))) | member(tptp_fun_D_0(D!2, intersection(D!2, B!4)), D!2)))))) | ((~subset(intersection(D!2, B!4), D!2)) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2)))),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(484,plain,
% 221.23/221.48 ((~subset(intersection(D!2, B!4), D!2)) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[483, 482])).
% 221.23/221.48 tff(485,plain,
% 221.23/221.48 (subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2) <=> subset(intersection(D!2, B!4), D!2)),
% 221.23/221.48 inference(monotonicity,[status(thm)],[303])).
% 221.23/221.48 tff(486,plain,
% 221.23/221.48 (subset(intersection(D!2, B!4), D!2) <=> subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)),
% 221.23/221.48 inference(symmetry,[status(thm)],[485])).
% 221.23/221.48 tff(487,plain,
% 221.23/221.48 ((~subset(intersection(D!2, B!4), D!2)) <=> (~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2))),
% 221.23/221.48 inference(monotonicity,[status(thm)],[486])).
% 221.23/221.48 tff(488,assumption,(~subset(intersection(D!2, B!4), D!2)), introduced(assumption)).
% 221.23/221.48 tff(489,plain,
% 221.23/221.48 (~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)),
% 221.23/221.48 inference(modus_ponens,[status(thm)],[488, 487])).
% 221.23/221.48 tff(490,plain,
% 221.23/221.48 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2))))))),
% 221.23/221.48 inference(rewrite,[status(thm)],[])).
% 221.23/221.48 tff(491,plain,
% 221.23/221.48 ((~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~(subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2) | (~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))))))) <=> (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)))))),
% 221.23/221.48 inference(rewrite,[status(thm)],[])).
% 221.23/221.48 tff(492,plain,
% 221.23/221.48 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~(subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2) | (~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2))))))),
% 221.23/221.48 inference(monotonicity,[status(thm)],[491])).
% 221.23/221.48 tff(493,plain,
% 221.23/221.48 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~(subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2) | (~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2))))))),
% 221.23/221.48 inference(transitivity,[status(thm)],[492, 490])).
% 221.23/221.48 tff(494,plain,
% 221.23/221.48 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~(subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2) | (~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)))))))),
% 221.23/221.48 inference(quant_inst,[status(thm)],[])).
% 221.23/221.48 tff(495,plain,
% 221.23/221.48 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)))))),
% 221.23/221.48 inference(modus_ponens,[status(thm)],[494, 493])).
% 221.23/221.48 tff(496,plain,
% 221.23/221.48 (~((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2))))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[495, 168])).
% 221.23/221.48 tff(497,plain,
% 221.23/221.48 (((~((~subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)) | ![D: $i] : ((~member(D, intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(D, D!2)))) | (~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)))) | ((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2))),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(498,plain,
% 221.23/221.48 ((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[497, 496])).
% 221.23/221.48 tff(499,assumption,(~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))), introduced(assumption)).
% 221.23/221.48 tff(500,plain,
% 221.23/221.48 (((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(501,plain,
% 221.23/221.48 (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[500, 499])).
% 221.23/221.48 tff(502,plain,
% 221.23/221.48 (((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(503,plain,
% 221.23/221.48 (member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[502, 499])).
% 221.23/221.48 tff(504,assumption,(((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), introduced(assumption)).
% 221.23/221.48 tff(505,plain,
% 221.23/221.48 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (~(((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.48 inference(quant_inst,[status(thm)],[])).
% 221.23/221.48 tff(506,plain,
% 221.23/221.48 ($false),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[505, 25, 504])).
% 221.23/221.48 tff(507,plain,(~(((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.48 tff(508,plain,
% 221.23/221.48 ((((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | (~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), union(B!4, difference(B!4, C!3)))))) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(509,plain,
% 221.23/221.48 ((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), union(B!4, difference(B!4, C!3)))))) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[508, 507])).
% 221.23/221.48 tff(510,plain,
% 221.23/221.48 (~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), union(B!4, difference(B!4, C!3)))))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[509, 503])).
% 221.23/221.48 tff(511,plain,
% 221.23/221.48 (((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)) | (~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), union(B!4, difference(B!4, C!3))))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(512,plain,
% 221.23/221.48 ($false),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[511, 510, 501])).
% 221.23/221.48 tff(513,plain,((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2)), inference(lemma,lemma(discharge,[]))).
% 221.23/221.48 tff(514,plain,
% 221.23/221.48 ((~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2))) | (~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(515,plain,
% 221.23/221.48 ((~((~((~member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) | member(tptp_fun_D_0(D!2, intersection(union(B!4, difference(B!4, C!3)), D!2)), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2))) | subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[514, 513])).
% 221.23/221.48 tff(516,plain,
% 221.23/221.48 (subset(intersection(union(B!4, difference(B!4, C!3)), D!2), D!2)),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[515, 498])).
% 221.23/221.48 tff(517,plain,
% 221.23/221.48 ($false),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[516, 489])).
% 221.23/221.48 tff(518,plain,(subset(intersection(D!2, B!4), D!2)), inference(lemma,lemma(discharge,[]))).
% 221.23/221.48 tff(519,plain,
% 221.23/221.48 ((~((~subset(intersection(D!2, B!4), D!2)) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2)))) | (~subset(intersection(D!2, B!4), D!2)) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2))),
% 221.23/221.48 inference(tautology,[status(thm)],[])).
% 221.23/221.48 tff(520,plain,
% 221.23/221.48 ((~((~subset(intersection(D!2, B!4), D!2)) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2)))) | ![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[519, 518])).
% 221.23/221.48 tff(521,plain,
% 221.23/221.48 (![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2))),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[520, 484])).
% 221.23/221.48 tff(522,plain,
% 221.23/221.48 (((~![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2))) <=> ((~![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2))),
% 221.23/221.48 inference(rewrite,[status(thm)],[])).
% 221.23/221.48 tff(523,plain,
% 221.23/221.48 ((~![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2))) | ((~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2))),
% 221.23/221.48 inference(quant_inst,[status(thm)],[])).
% 221.23/221.48 tff(524,plain,
% 221.23/221.48 ((~![D: $i] : ((~member(D, intersection(D!2, B!4))) | member(D, D!2))) | (~member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), intersection(D!2, B!4))) | member(tptp_fun_D_1(intersection(difference(C!3, D!2), difference(C!3, D!2)), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))), D!2)),
% 221.23/221.48 inference(modus_ponens,[status(thm)],[523, 522])).
% 221.23/221.48 tff(525,plain,
% 221.23/221.48 ($false),
% 221.23/221.48 inference(unit_resolution,[status(thm)],[524, 521, 480, 454])).
% 221.23/221.48 tff(526,plain,(difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)) = intersection(difference(C!3, D!2), difference(C!3, D!2))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.48 tff(527,plain,
% 221.23/221.48 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.48 inference(monotonicity,[status(thm)],[526])).
% 221.23/221.49 tff(528,plain,
% 221.23/221.49 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.49 inference(symmetry,[status(thm)],[527])).
% 221.23/221.49 tff(529,assumption,(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.49 tff(530,plain,
% 221.23/221.49 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.49 inference(modus_ponens,[status(thm)],[529, 528])).
% 221.23/221.49 tff(531,plain,
% 221.23/221.49 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))))),
% 221.23/221.49 inference(quant_inst,[status(thm)],[])).
% 221.23/221.49 tff(532,plain,
% 221.23/221.49 (~(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[531, 11])).
% 221.23/221.49 tff(533,assumption,(member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))), introduced(assumption)).
% 221.23/221.49 tff(534,plain,
% 221.23/221.49 (((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.49 inference(tautology,[status(thm)],[])).
% 221.23/221.49 tff(535,plain,
% 221.23/221.49 ((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[534, 533])).
% 221.23/221.49 tff(536,plain,
% 221.23/221.49 ((((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | (~((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.49 inference(tautology,[status(thm)],[])).
% 221.23/221.49 tff(537,plain,
% 221.23/221.49 ((((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[536, 535])).
% 221.23/221.49 tff(538,plain,
% 221.23/221.49 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(intersection(difference(C!3, D!2), difference(C!3, D!2)), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[537, 532])).
% 221.23/221.49 tff(539,plain,
% 221.23/221.49 ($false),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[538, 530])).
% 221.23/221.49 tff(540,plain,((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.49 tff(541,plain,
% 221.23/221.49 (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[540, 368])).
% 221.23/221.49 tff(542,assumption,(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))), introduced(assumption)).
% 221.23/221.49 tff(543,plain,
% 221.23/221.49 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (~(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.49 inference(quant_inst,[status(thm)],[])).
% 221.23/221.49 tff(544,plain,
% 221.23/221.49 ($false),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[543, 25, 542])).
% 221.23/221.49 tff(545,plain,(~(((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.49 tff(546,plain,
% 221.23/221.49 ((((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | (~((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.49 inference(tautology,[status(thm)],[])).
% 221.23/221.49 tff(547,plain,
% 221.23/221.49 ((~((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[546, 545])).
% 221.23/221.49 tff(548,plain,
% 221.23/221.49 (~((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))))),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[547, 368])).
% 221.23/221.49 tff(549,plain,
% 221.23/221.49 (((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), D!2)) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3))))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))),
% 221.23/221.49 inference(tautology,[status(thm)],[])).
% 221.23/221.49 tff(550,plain,
% 221.23/221.49 (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[549, 548])).
% 221.23/221.49 tff(551,plain,
% 221.23/221.49 ((~((~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.49 inference(tautology,[status(thm)],[])).
% 221.23/221.49 tff(552,plain,
% 221.23/221.49 ($false),
% 221.23/221.49 inference(unit_resolution,[status(thm)],[551, 550, 541, 342])).
% 221.23/221.49 tff(553,plain,(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.49 tff(554,assumption,((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))), introduced(assumption)).
% 221.23/221.49 tff(555,plain,
% 221.23/221.49 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))))),
% 221.23/221.49 inference(rewrite,[status(thm)],[])).
% 221.23/221.49 tff(556,plain,
% 221.23/221.49 ((~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))))) <=> (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))))),
% 221.23/221.49 inference(rewrite,[status(thm)],[])).
% 221.23/221.49 tff(557,plain,
% 221.23/221.49 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))))),
% 221.23/221.50 inference(monotonicity,[status(thm)],[556])).
% 221.23/221.50 tff(558,plain,
% 221.23/221.50 (((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))))))) <=> ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))))),
% 221.23/221.50 inference(transitivity,[status(thm)],[557, 555])).
% 221.23/221.50 tff(559,plain,
% 221.23/221.50 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))))))),
% 221.23/221.50 inference(quant_inst,[status(thm)],[])).
% 221.23/221.50 tff(560,plain,
% 221.23/221.50 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))))),
% 221.23/221.50 inference(modus_ponens,[status(thm)],[559, 558])).
% 221.23/221.50 tff(561,plain,
% 221.23/221.50 ($false),
% 221.23/221.50 inference(unit_resolution,[status(thm)],[560, 59, 554])).
% 221.23/221.50 tff(562,plain,(~((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.50 tff(563,plain,
% 221.23/221.50 (((~((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(union(B!4, difference(B!4, C!3)), C!3), intersection(difference(C!3, D!2), difference(C!3, D!2))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | (~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))) | ((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.50 inference(tautology,[status(thm)],[])).
% 221.23/221.50 tff(564,plain,
% 221.23/221.50 ((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.50 inference(unit_resolution,[status(thm)],[563, 562])).
% 221.23/221.50 tff(565,plain,
% 221.23/221.50 ((~((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.50 inference(tautology,[status(thm)],[])).
% 221.23/221.50 tff(566,plain,
% 221.23/221.50 ((~(member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))), union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))) | (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.50 inference(unit_resolution,[status(thm)],[565, 564])).
% 221.23/221.50 tff(567,plain,
% 221.23/221.50 (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.50 inference(unit_resolution,[status(thm)],[566, 553])).
% 221.23/221.50 tff(568,plain,
% 221.23/221.50 ((difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.50 inference(commutativity,[status(thm)],[])).
% 221.23/221.50 tff(569,plain,
% 221.23/221.50 ((difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> (difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.50 inference(monotonicity,[status(thm)],[185])).
% 221.23/221.50 tff(570,plain,
% 221.23/221.50 ((difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.50 inference(transitivity,[status(thm)],[569, 568])).
% 221.23/221.50 tff(571,plain,
% 221.23/221.50 ((union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.50 inference(symmetry,[status(thm)],[570])).
% 221.23/221.50 tff(572,assumption,(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.50 tff(573,plain,
% 221.23/221.50 (difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))),
% 221.23/221.50 inference(modus_ponens,[status(thm)],[572, 571])).
% 221.23/221.50 tff(574,assumption,(~(difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))), introduced(assumption)).
% 221.23/221.50 tff(575,plain,
% 221.23/221.50 ($false),
% 221.23/221.50 inference(unit_resolution,[status(thm)],[574, 573])).
% 221.23/221.50 tff(576,plain,((difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) | (~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.50 tff(577,plain,
% 221.23/221.50 (difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))),
% 221.23/221.50 inference(unit_resolution,[status(thm)],[576, 567])).
% 221.23/221.50 tff(578,plain,
% 221.23/221.50 ((difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> (intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.50 inference(monotonicity,[status(thm)],[325])).
% 221.23/221.50 tff(579,plain,
% 221.23/221.50 ((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))) <=> (difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.50 inference(symmetry,[status(thm)],[578])).
% 221.23/221.50 tff(580,plain,
% 221.23/221.50 ((union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> (intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.50 inference(commutativity,[status(thm)],[])).
% 221.23/221.50 tff(581,plain,
% 221.23/221.50 ((union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> (difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.50 inference(transitivity,[status(thm)],[580, 579])).
% 221.23/221.50 tff(582,plain,
% 221.23/221.50 ((~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) <=> (~(difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))))),
% 221.23/221.50 inference(monotonicity,[status(thm)],[581])).
% 221.23/221.50 tff(583,assumption,(~(union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))), introduced(assumption)).
% 221.23/221.50 tff(584,plain,
% 221.23/221.50 (~(difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))))),
% 221.23/221.50 inference(modus_ponens,[status(thm)],[583, 582])).
% 221.23/221.50 tff(585,assumption,(difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.50 tff(586,plain,
% 221.23/221.50 ($false),
% 221.23/221.50 inference(unit_resolution,[status(thm)],[585, 584])).
% 221.23/221.50 tff(587,plain,((union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~(difference(B!4, difference(C!3, D!2)) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.50 tff(588,plain,
% 221.23/221.50 (union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2))) = intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[587, 577])).
% 221.23/221.51 tff(589,plain,
% 221.23/221.51 (union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) = union(intersection(D!2, B!4), difference(B!4, difference(C!3, D!2)))),
% 221.23/221.51 inference(monotonicity,[status(thm)],[303, 280])).
% 221.23/221.51 tff(590,plain,
% 221.23/221.51 (union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) = difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.51 inference(transitivity,[status(thm)],[589, 588, 280, 142])).
% 221.23/221.51 tff(591,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.51 inference(monotonicity,[status(thm)],[590])).
% 221.23/221.51 tff(592,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))),
% 221.23/221.51 inference(symmetry,[status(thm)],[591])).
% 221.23/221.51 tff(593,plain,
% 221.23/221.51 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) <=> (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))))),
% 221.23/221.51 inference(monotonicity,[status(thm)],[592])).
% 221.23/221.51 tff(594,assumption,(~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.23/221.51 tff(595,plain,
% 221.23/221.51 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))),
% 221.23/221.51 inference(modus_ponens,[status(thm)],[594, 593])).
% 221.23/221.51 tff(596,plain,
% 221.23/221.51 ((~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.23/221.51 inference(tautology,[status(thm)],[])).
% 221.23/221.51 tff(597,plain,
% 221.23/221.51 (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[596, 595, 138])).
% 221.23/221.51 tff(598,assumption,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))), introduced(assumption)).
% 221.23/221.51 tff(599,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.23/221.51 inference(monotonicity,[status(thm)],[128])).
% 221.23/221.51 tff(600,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.23/221.51 inference(symmetry,[status(thm)],[599])).
% 221.23/221.51 tff(601,plain,
% 221.23/221.51 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), union(intersection(B!4, D!2), difference(B!4, C!3)))))) | (~((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))))))))),
% 221.23/221.51 inference(quant_inst,[status(thm)],[])).
% 221.23/221.51 tff(602,plain,
% 221.23/221.51 (~((~((~(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), union(intersection(B!4, D!2), difference(B!4, C!3)))))) | (~((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))))))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[601, 59])).
% 221.23/221.51 tff(603,plain,
% 221.23/221.51 (((~((~(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), union(intersection(B!4, D!2), difference(B!4, C!3)))))) | (~((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))))))) | ((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))))),
% 221.23/221.51 inference(tautology,[status(thm)],[])).
% 221.23/221.51 tff(604,plain,
% 221.23/221.51 ((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[603, 602])).
% 221.23/221.51 tff(605,plain,
% 221.23/221.51 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(difference(B!4, C!3), intersection(B!4, D!2)) = union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.23/221.51 inference(quant_inst,[status(thm)],[])).
% 221.23/221.51 tff(606,plain,
% 221.23/221.51 (union(difference(B!4, C!3), intersection(B!4, D!2)) = union(intersection(B!4, D!2), difference(B!4, C!3))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[605, 179])).
% 221.23/221.51 tff(607,plain,
% 221.23/221.51 (union(intersection(B!4, D!2), difference(B!4, C!3)) = union(difference(B!4, C!3), intersection(B!4, D!2))),
% 221.23/221.51 inference(symmetry,[status(thm)],[606])).
% 221.23/221.51 tff(608,plain,
% 221.23/221.51 ((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) <=> (difference(B!4, difference(C!3, D!2)) = union(difference(B!4, C!3), intersection(B!4, D!2)))),
% 221.23/221.51 inference(monotonicity,[status(thm)],[280, 607])).
% 221.23/221.51 tff(609,plain,
% 221.23/221.51 ((difference(B!4, difference(C!3, D!2)) = union(difference(B!4, C!3), intersection(B!4, D!2))) <=> (intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.23/221.51 inference(symmetry,[status(thm)],[608])).
% 221.23/221.51 tff(610,plain,
% 221.23/221.51 ((~(difference(B!4, difference(C!3, D!2)) = union(difference(B!4, C!3), intersection(B!4, D!2)))) <=> (~(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))))),
% 221.23/221.51 inference(monotonicity,[status(thm)],[609])).
% 221.23/221.51 tff(611,plain,
% 221.23/221.51 ((~![B: $i, C: $i, D: $i] : (difference(B, difference(C, D)) = union(difference(B, C), intersection(B, D)))) <=> (~![B: $i, C: $i, D: $i] : (difference(B, difference(C, D)) = union(difference(B, C), intersection(B, D))))),
% 221.23/221.51 inference(rewrite,[status(thm)],[])).
% 221.23/221.51 tff(612,axiom,(~![B: $i, C: $i, D: $i] : (difference(B, difference(C, D)) = union(difference(B, C), intersection(B, D)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_th81')).
% 221.23/221.51 tff(613,plain,
% 221.23/221.51 (~![B: $i, C: $i, D: $i] : (difference(B, difference(C, D)) = union(difference(B, C), intersection(B, D)))),
% 221.23/221.51 inference(modus_ponens,[status(thm)],[612, 611])).
% 221.23/221.51 tff(614,plain,
% 221.23/221.51 (~![B: $i, C: $i, D: $i] : (difference(B, difference(C, D)) = union(difference(B, C), intersection(B, D)))),
% 221.23/221.51 inference(modus_ponens,[status(thm)],[613, 611])).
% 221.23/221.51 tff(615,plain,
% 221.23/221.51 (~![B: $i, C: $i, D: $i] : (difference(B, difference(C, D)) = union(difference(B, C), intersection(B, D)))),
% 221.23/221.51 inference(modus_ponens,[status(thm)],[614, 611])).
% 221.23/221.51 tff(616,plain,
% 221.23/221.51 (~![B: $i, C: $i, D: $i] : (difference(B, difference(C, D)) = union(difference(B, C), intersection(B, D)))),
% 221.23/221.51 inference(modus_ponens,[status(thm)],[615, 611])).
% 221.23/221.51 tff(617,plain,(
% 221.23/221.51 ~(difference(B!4, difference(C!3, D!2)) = union(difference(B!4, C!3), intersection(B!4, D!2)))),
% 221.23/221.51 inference(skolemize,[status(sab)],[616])).
% 221.23/221.51 tff(618,plain,
% 221.23/221.51 (~(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.23/221.51 inference(modus_ponens,[status(thm)],[617, 610])).
% 221.23/221.51 tff(619,plain,
% 221.23/221.51 ((~((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))))) | (intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))))),
% 221.23/221.51 inference(tautology,[status(thm)],[])).
% 221.23/221.51 tff(620,plain,
% 221.23/221.51 (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[619, 618, 604])).
% 221.23/221.51 tff(621,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.23/221.51 inference(monotonicity,[status(thm)],[326])).
% 221.23/221.51 tff(622,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.51 inference(symmetry,[status(thm)],[621])).
% 221.23/221.51 tff(623,assumption,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))), introduced(assumption)).
% 221.23/221.51 tff(624,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.51 inference(modus_ponens,[status(thm)],[623, 622])).
% 221.23/221.51 tff(625,plain,
% 221.23/221.51 ($false),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[594, 624])).
% 221.23/221.51 tff(626,plain,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.51 tff(627,plain,
% 221.23/221.51 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[626, 594])).
% 221.23/221.51 tff(628,plain,
% 221.23/221.51 ((member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.23/221.51 inference(tautology,[status(thm)],[])).
% 221.23/221.51 tff(629,plain,
% 221.23/221.51 ((member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[628, 627])).
% 221.23/221.51 tff(630,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[629, 620])).
% 221.23/221.51 tff(631,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.23/221.51 inference(modus_ponens,[status(thm)],[630, 600])).
% 221.23/221.51 tff(632,plain,
% 221.23/221.51 ((~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3)))) | (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.51 inference(tautology,[status(thm)],[])).
% 221.23/221.51 tff(633,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[632, 631, 598])).
% 221.23/221.51 tff(634,plain,
% 221.23/221.51 ((~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.51 inference(tautology,[status(thm)],[])).
% 221.23/221.51 tff(635,plain,
% 221.23/221.51 ((~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.51 inference(unit_resolution,[status(thm)],[634, 132])).
% 221.23/221.51 tff(636,plain,
% 221.23/221.51 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[635, 633])).
% 221.23/221.52 tff(637,plain,
% 221.23/221.52 ((member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.23/221.52 inference(tautology,[status(thm)],[])).
% 221.23/221.52 tff(638,plain,
% 221.23/221.52 ($false),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[637, 636, 597])).
% 221.23/221.52 tff(639,plain,((~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.52 tff(640,plain,
% 221.23/221.52 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[639, 136])).
% 221.23/221.52 tff(641,plain,
% 221.23/221.52 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[640, 132])).
% 221.23/221.52 tff(642,plain,
% 221.23/221.52 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.52 inference(monotonicity,[status(thm)],[316])).
% 221.23/221.52 tff(643,plain,
% 221.23/221.52 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) <=> (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.52 inference(monotonicity,[status(thm)],[642])).
% 221.23/221.52 tff(644,assumption,(~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))), introduced(assumption)).
% 221.23/221.52 tff(645,plain,
% 221.23/221.52 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.52 inference(modus_ponens,[status(thm)],[644, 643])).
% 221.23/221.52 tff(646,assumption,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.23/221.52 tff(647,plain,
% 221.23/221.52 ($false),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[646, 645])).
% 221.23/221.52 tff(648,plain,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.52 tff(649,plain,
% 221.23/221.52 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[648, 641])).
% 221.23/221.52 tff(650,assumption,((~((~(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), union(intersection(B!4, D!2), difference(B!4, C!3)))))) | (~((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))))))), introduced(assumption)).
% 221.23/221.52 tff(651,plain,
% 221.23/221.52 ($false),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[601, 59, 650])).
% 221.23/221.52 tff(652,plain,(~((~((~(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)), intersection(D!2, B!4)), union(intersection(B!4, D!2), difference(B!4, C!3)))))) | (~((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.52 tff(653,plain,
% 221.23/221.52 ((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[603, 652])).
% 221.23/221.52 tff(654,plain,
% 221.23/221.52 ((~((intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)) = union(intersection(B!4, D!2), difference(B!4, C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[619, 618])).
% 221.23/221.52 tff(655,plain,
% 221.23/221.52 (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[654, 653])).
% 221.23/221.52 tff(656,plain,
% 221.23/221.52 ((member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))),
% 221.23/221.52 inference(tautology,[status(thm)],[])).
% 221.23/221.52 tff(657,plain,
% 221.23/221.52 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3))))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[656, 655])).
% 221.23/221.52 tff(658,plain,
% 221.23/221.52 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[657, 649])).
% 221.23/221.52 tff(659,plain,
% 221.23/221.52 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.23/221.52 inference(modus_ponens,[status(thm)],[658, 131])).
% 221.23/221.52 tff(660,assumption,(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))), introduced(assumption)).
% 221.23/221.52 tff(661,plain,
% 221.23/221.52 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))))),
% 221.23/221.52 inference(quant_inst,[status(thm)],[])).
% 221.23/221.52 tff(662,plain,
% 221.23/221.52 ($false),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[661, 11, 660])).
% 221.23/221.52 tff(663,plain,(~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.52 tff(664,assumption,(~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2)))), introduced(assumption)).
% 221.23/221.52 tff(665,assumption,(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))), introduced(assumption)).
% 221.23/221.52 tff(666,plain,
% 221.23/221.52 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))))),
% 221.23/221.52 inference(quant_inst,[status(thm)],[])).
% 221.23/221.52 tff(667,plain,
% 221.23/221.52 ($false),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[666, 11, 665])).
% 221.23/221.52 tff(668,plain,(~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))), inference(lemma,lemma(discharge,[]))).
% 221.23/221.52 tff(669,plain,
% 221.23/221.52 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.52 inference(tautology,[status(thm)],[])).
% 221.23/221.52 tff(670,plain,
% 221.23/221.52 ((~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2)))))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[669, 668])).
% 221.23/221.52 tff(671,plain,
% 221.23/221.52 (~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[670, 641])).
% 221.23/221.52 tff(672,plain,
% 221.23/221.52 (((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.23/221.52 inference(tautology,[status(thm)],[])).
% 221.23/221.52 tff(673,plain,
% 221.23/221.52 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.23/221.52 inference(unit_resolution,[status(thm)],[672, 671])).
% 221.23/221.52 tff(674,plain,
% 221.23/221.52 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2)))),
% 221.32/221.52 inference(monotonicity,[status(thm)],[68])).
% 221.32/221.52 tff(675,assumption,(~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))), introduced(assumption)).
% 221.32/221.52 tff(676,plain,
% 221.32/221.52 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))),
% 221.32/221.52 inference(modus_ponens,[status(thm)],[675, 674])).
% 221.32/221.52 tff(677,assumption,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))), introduced(assumption)).
% 221.32/221.52 tff(678,plain,
% 221.32/221.52 ($false),
% 221.32/221.52 inference(unit_resolution,[status(thm)],[677, 676])).
% 221.32/221.52 tff(679,plain,((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 221.32/221.52 tff(680,plain,
% 221.32/221.52 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))),
% 221.32/221.52 inference(unit_resolution,[status(thm)],[679, 673])).
% 221.32/221.52 tff(681,plain,
% 221.32/221.52 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))) | ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))),
% 221.32/221.52 inference(tautology,[status(thm)],[])).
% 221.32/221.52 tff(682,plain,
% 221.32/221.52 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))) | ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2))),
% 221.32/221.52 inference(unit_resolution,[status(thm)],[681, 680])).
% 221.32/221.52 tff(683,plain,
% 221.32/221.52 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)),
% 221.32/221.52 inference(unit_resolution,[status(thm)],[682, 664])).
% 221.32/221.53 tff(684,plain,
% 221.32/221.53 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, C)) | (~member(D, B))) <=> member(D, intersection(B, C))))) | (~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.32/221.53 inference(quant_inst,[status(thm)],[])).
% 221.32/221.53 tff(685,plain,
% 221.32/221.53 (~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[684, 25])).
% 221.32/221.53 tff(686,assumption,(~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))), introduced(assumption)).
% 221.32/221.53 tff(687,plain,
% 221.32/221.53 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(688,plain,
% 221.32/221.53 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[687, 686])).
% 221.32/221.53 tff(689,plain,
% 221.32/221.53 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[688, 685])).
% 221.32/221.53 tff(690,plain,
% 221.32/221.53 (((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(691,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[690, 671])).
% 221.32/221.53 tff(692,plain,
% 221.32/221.53 ((~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))))),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(693,plain,
% 221.32/221.53 ((~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[692, 691])).
% 221.32/221.53 tff(694,plain,
% 221.32/221.53 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[693, 689])).
% 221.32/221.53 tff(695,plain,
% 221.32/221.53 (~(((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[12, 11])).
% 221.32/221.53 tff(696,plain,
% 221.32/221.53 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))) | ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(697,plain,
% 221.32/221.53 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))) | ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[696, 132])).
% 221.32/221.53 tff(698,plain,
% 221.32/221.53 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[697, 695])).
% 221.32/221.53 tff(699,plain,
% 221.32/221.53 ((~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(700,plain,
% 221.32/221.53 ((~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[699, 691])).
% 221.32/221.53 tff(701,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[700, 698])).
% 221.32/221.53 tff(702,plain,
% 221.32/221.53 ((~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(703,plain,
% 221.32/221.53 ($false),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[702, 701, 694, 683])).
% 221.32/221.53 tff(704,plain,((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))), inference(lemma,lemma(discharge,[]))).
% 221.32/221.53 tff(705,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[704, 663])).
% 221.32/221.53 tff(706,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[705, 132])).
% 221.32/221.53 tff(707,plain,
% 221.32/221.53 ((member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2)))),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(708,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[707, 706])).
% 221.32/221.53 tff(709,plain,
% 221.32/221.53 ((~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(710,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[709, 136])).
% 221.32/221.53 tff(711,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[710, 708])).
% 221.32/221.53 tff(712,plain,
% 221.32/221.53 ($false),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[711, 659])).
% 221.32/221.53 tff(713,plain,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))), inference(lemma,lemma(discharge,[]))).
% 221.32/221.53 tff(714,plain,
% 221.32/221.53 (union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3)) = union(B!4, difference(B!4, C!3))),
% 221.32/221.53 inference(monotonicity,[status(thm)],[140, 125])).
% 221.32/221.53 tff(715,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))),
% 221.32/221.53 inference(monotonicity,[status(thm)],[714])).
% 221.32/221.53 tff(716,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.53 inference(symmetry,[status(thm)],[715])).
% 221.32/221.53 tff(717,plain,
% 221.32/221.53 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) <=> (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3))))),
% 221.32/221.53 inference(monotonicity,[status(thm)],[716])).
% 221.32/221.53 tff(718,assumption,(~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))), introduced(assumption)).
% 221.32/221.53 tff(719,plain,
% 221.32/221.53 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.53 inference(modus_ponens,[status(thm)],[718, 717])).
% 221.32/221.53 tff(720,plain,
% 221.32/221.53 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))))),
% 221.32/221.53 inference(quant_inst,[status(thm)],[])).
% 221.32/221.53 tff(721,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[720, 88])).
% 221.32/221.53 tff(722,assumption,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))), introduced(assumption)).
% 221.32/221.53 tff(723,plain,
% 221.32/221.53 ((member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(724,plain,
% 221.32/221.53 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))),
% 221.32/221.53 inference(unit_resolution,[status(thm)],[723, 722])).
% 221.32/221.53 tff(725,plain,
% 221.32/221.53 ((~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3))) | (~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))))),
% 221.32/221.53 inference(tautology,[status(thm)],[])).
% 221.32/221.53 tff(726,plain,
% 221.32/221.53 ((~(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[725, 724])).
% 221.32/221.54 tff(727,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(union(B!4, difference(B!4, C!3)), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[726, 721])).
% 221.32/221.54 tff(728,plain,
% 221.32/221.54 ($false),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[727, 719])).
% 221.32/221.54 tff(729,plain,(member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)))), inference(lemma,lemma(discharge,[]))).
% 221.32/221.54 tff(730,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[729, 713])).
% 221.32/221.54 tff(731,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.32/221.54 inference(symmetry,[status(thm)],[130])).
% 221.32/221.54 tff(732,plain,
% 221.32/221.54 ((member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.54 inference(tautology,[status(thm)],[])).
% 221.32/221.54 tff(733,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(union(B!4, difference(B!4, C!3)), D!2))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[732, 713])).
% 221.32/221.54 tff(734,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(union(B!4, difference(B!4, C!3)), D!2), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[710, 733])).
% 221.32/221.54 tff(735,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(intersection(B!4, D!2), difference(B!4, C!3)))),
% 221.32/221.54 inference(modus_ponens,[status(thm)],[734, 731])).
% 221.32/221.54 tff(736,plain,
% 221.32/221.54 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4)))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[657, 735])).
% 221.32/221.54 tff(737,plain,
% 221.32/221.54 (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[648, 736])).
% 221.32/221.54 tff(738,plain,
% 221.32/221.54 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.32/221.54 inference(tautology,[status(thm)],[])).
% 221.32/221.54 tff(739,plain,
% 221.32/221.54 (((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), intersection(difference(C!3, D!2), difference(C!3, D!2))))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[738, 668])).
% 221.32/221.54 tff(740,plain,
% 221.32/221.54 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[739, 737])).
% 221.32/221.54 tff(741,plain,
% 221.32/221.54 ((~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2))))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.32/221.54 inference(tautology,[status(thm)],[])).
% 221.32/221.54 tff(742,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), intersection(difference(C!3, D!2), difference(C!3, D!2)))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[741, 740, 730])).
% 221.32/221.54 tff(743,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))),
% 221.32/221.54 inference(modus_ponens,[status(thm)],[742, 68])).
% 221.32/221.54 tff(744,plain,
% 221.32/221.54 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2))) | (~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2)))),
% 221.32/221.54 inference(tautology,[status(thm)],[])).
% 221.32/221.54 tff(745,plain,
% 221.32/221.54 ((~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(C!3, D!2)))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[744, 663])).
% 221.32/221.54 tff(746,plain,
% 221.32/221.54 (~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2))),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[745, 743])).
% 221.32/221.54 tff(747,plain,
% 221.32/221.54 (((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), D!2)) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)),
% 221.32/221.54 inference(tautology,[status(thm)],[])).
% 221.32/221.54 tff(748,plain,
% 221.32/221.54 (member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[747, 746])).
% 221.32/221.54 tff(749,plain,
% 221.32/221.54 (((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3))),
% 221.32/221.54 inference(tautology,[status(thm)],[])).
% 221.32/221.54 tff(750,plain,
% 221.32/221.54 ((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)),
% 221.32/221.54 inference(unit_resolution,[status(thm)],[749, 748])).
% 221.32/221.54 tff(751,plain,
% 221.32/221.54 ((((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))) | (~((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3))) | (~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3)))),
% 221.32/221.58 inference(tautology,[status(thm)],[])).
% 221.32/221.58 tff(752,plain,
% 221.32/221.58 (((~member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), union(B!4, difference(B!4, C!3)))) | member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), C!3)) <=> member(tptp_fun_D_1(union(intersection(B!4, D!2), difference(B!4, C!3)), intersection(difference(B!4, difference(C!3, D!2)), union(C!3, B!4))), difference(union(B!4, difference(B!4, C!3)), C!3))),
% 221.32/221.58 inference(unit_resolution,[status(thm)],[751, 713, 750])).
% 221.32/221.58 tff(753,plain,
% 221.32/221.58 ($false),
% 221.32/221.58 inference(unit_resolution,[status(thm)],[752, 14])).
% 221.32/221.58 % SZS output end Proof
% 221.37/221.59 % E exiting
%------------------------------------------------------------------------------