%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SET579+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:25:54 AM UTC 2025
% Result : Theorem 8.03s 8.21s
% Output : Proof 8.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET579+3 : TPTP v9.0.0. Released v2.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 05:28:33 EDT 2025
% 0.12/0.33 % CPUTime :
% 8.03/8.21 % SZS status Theorem
% 8.03/8.21 % SZS output start Proof
% 8.03/8.21 tff(member_type, type, (
% 8.03/8.21 member: ( $i * $i ) > $o)).
% 8.03/8.21 tff(tptp_fun_B_3_type, type, (
% 8.03/8.21 tptp_fun_B_3: $i)).
% 8.03/8.21 tff(tptp_fun_D_0_type, type, (
% 8.03/8.21 tptp_fun_D_0: ( $i * $i ) > $i)).
% 8.03/8.21 tff(difference_type, type, (
% 8.03/8.21 difference: ( $i * $i ) > $i)).
% 8.03/8.21 tff(tptp_fun_C_2_type, type, (
% 8.03/8.21 tptp_fun_C_2: $i)).
% 8.03/8.21 tff(tptp_fun_D_1_type, type, (
% 8.03/8.21 tptp_fun_D_1: $i)).
% 8.03/8.21 tff(subset_type, type, (
% 8.03/8.21 subset: ( $i * $i ) > $o)).
% 8.03/8.21 tff(1,assumption,(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)), introduced(assumption)).
% 8.03/8.21 tff(2,plain,
% 8.03/8.21 (^[E: $i] : refl((~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3))) <=> (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3))))),
% 8.03/8.21 inference(bind,[status(th)],[])).
% 8.03/8.21 tff(3,plain,
% 8.03/8.21 (![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3))) <=> ![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))),
% 8.03/8.21 inference(quant_intro,[status(thm)],[2])).
% 8.03/8.21 tff(4,plain,
% 8.03/8.21 (^[E: $i] : trans(trans(monotonicity(rewrite((member(E, C!2) & (~member(E, D!1))) <=> (~((~member(E, C!2)) | member(E, D!1)))), ((member(E, B!3) <=> (member(E, C!2) & (~member(E, D!1)))) <=> (member(E, B!3) <=> (~((~member(E, C!2)) | member(E, D!1)))))), rewrite((member(E, B!3) <=> (~((~member(E, C!2)) | member(E, D!1)))) <=> (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))), ((member(E, B!3) <=> (member(E, C!2) & (~member(E, D!1)))) <=> (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3))))), rewrite((~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3))) <=> (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))), ((member(E, B!3) <=> (member(E, C!2) & (~member(E, D!1)))) <=> (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))))),
% 8.03/8.21 inference(bind,[status(th)],[])).
% 8.03/8.21 tff(5,plain,
% 8.03/8.21 (![E: $i] : (member(E, B!3) <=> (member(E, C!2) & (~member(E, D!1)))) <=> ![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))),
% 8.03/8.21 inference(quant_intro,[status(thm)],[4])).
% 8.03/8.21 tff(6,plain,
% 8.03/8.21 ((![E: $i] : (member(E, B!3) <=> (member(E, C!2) & (~member(E, D!1)))) & (~(B!3 = difference(C!2, D!1)))) <=> (![E: $i] : (member(E, B!3) <=> (member(E, C!2) & (~member(E, D!1)))) & (~(B!3 = difference(C!2, D!1))))),
% 8.03/8.21 inference(rewrite,[status(thm)],[])).
% 8.03/8.21 tff(7,plain,
% 8.03/8.21 ((~![B: $i, C: $i, D: $i] : ((~![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D))))) | (B = difference(C, D)))) <=> (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D))))) | (B = difference(C, D))))),
% 8.03/8.21 inference(rewrite,[status(thm)],[])).
% 8.03/8.21 tff(8,plain,
% 8.03/8.21 ((~![B: $i, C: $i, D: $i] : (![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D)))) => (B = difference(C, D)))) <=> (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D))))) | (B = difference(C, D))))),
% 8.03/8.21 inference(rewrite,[status(thm)],[])).
% 8.03/8.21 tff(9,axiom,(~![B: $i, C: $i, D: $i] : (![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D)))) => (B = difference(C, D)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_th20')).
% 8.03/8.21 tff(10,plain,
% 8.03/8.21 (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D))))) | (B = difference(C, D)))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[9, 8])).
% 8.03/8.21 tff(11,plain,
% 8.03/8.21 (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D))))) | (B = difference(C, D)))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[10, 7])).
% 8.03/8.21 tff(12,plain,
% 8.03/8.21 (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D))))) | (B = difference(C, D)))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[11, 7])).
% 8.03/8.21 tff(13,plain,
% 8.03/8.21 (~![B: $i, C: $i, D: $i] : ((~![E: $i] : (member(E, B) <=> (member(E, C) & (~member(E, D))))) | (B = difference(C, D)))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[12, 7])).
% 8.03/8.21 tff(14,plain,
% 8.03/8.21 (![E: $i] : (member(E, B!3) <=> (member(E, C!2) & (~member(E, D!1)))) & (~(B!3 = difference(C!2, D!1)))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[13, 6])).
% 8.03/8.21 tff(15,plain,
% 8.03/8.21 (![E: $i] : (member(E, B!3) <=> (member(E, C!2) & (~member(E, D!1))))),
% 8.03/8.21 inference(and_elim,[status(thm)],[14])).
% 8.03/8.21 tff(16,plain,
% 8.03/8.21 (![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[15, 5])).
% 8.03/8.21 tff(17,plain,
% 8.03/8.21 (![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[16, 3])).
% 8.03/8.21 tff(18,plain,
% 8.03/8.21 ((~![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))) | (~(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)))),
% 8.03/8.21 inference(quant_inst,[status(thm)],[])).
% 8.03/8.21 tff(19,plain,
% 8.03/8.21 ($false),
% 8.03/8.21 inference(unit_resolution,[status(thm)],[18, 17, 1])).
% 8.03/8.21 tff(20,plain,(~(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3))), inference(lemma,lemma(discharge,[]))).
% 8.03/8.21 tff(21,assumption,(~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), introduced(assumption)).
% 8.03/8.21 tff(22,plain,
% 8.03/8.21 (((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.03/8.21 inference(tautology,[status(thm)],[])).
% 8.03/8.21 tff(23,plain,
% 8.03/8.21 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.03/8.21 inference(unit_resolution,[status(thm)],[22, 21])).
% 8.03/8.21 tff(24,assumption,(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), introduced(assumption)).
% 8.03/8.21 tff(25,plain,
% 8.03/8.21 (^[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)))))),
% 8.03/8.21 inference(bind,[status(th)],[])).
% 8.03/8.21 tff(26,plain,
% 8.03/8.21 (![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))))),
% 8.03/8.21 inference(quant_intro,[status(thm)],[25])).
% 8.03/8.21 tff(27,plain,
% 8.03/8.21 (^[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))))))),
% 8.03/8.21 inference(bind,[status(th)],[])).
% 8.03/8.21 tff(28,plain,
% 8.03/8.21 (![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))))),
% 8.03/8.21 inference(quant_intro,[status(thm)],[27])).
% 8.03/8.21 tff(29,plain,
% 8.03/8.21 (![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))))),
% 8.03/8.21 inference(rewrite,[status(thm)],[])).
% 8.03/8.21 tff(30,axiom,(![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','difference_defn')).
% 8.03/8.21 tff(31,plain,
% 8.03/8.21 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[30, 29])).
% 8.03/8.21 tff(32,plain,(
% 8.03/8.21 ![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 8.03/8.21 inference(skolemize,[status(sab)],[31])).
% 8.03/8.21 tff(33,plain,
% 8.03/8.21 (![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[32, 28])).
% 8.03/8.21 tff(34,plain,
% 8.03/8.21 (![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))),
% 8.03/8.21 inference(modus_ponens,[status(thm)],[33, 26])).
% 8.03/8.21 tff(35,plain,
% 8.03/8.21 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.03/8.22 inference(quant_inst,[status(thm)],[])).
% 8.03/8.22 tff(36,plain,
% 8.03/8.22 ($false),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[35, 34, 24])).
% 8.03/8.22 tff(37,plain,(~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), inference(lemma,lemma(discharge,[]))).
% 8.03/8.22 tff(38,plain,
% 8.03/8.22 ((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(39,plain,
% 8.03/8.22 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[38, 37])).
% 8.03/8.22 tff(40,plain,
% 8.03/8.22 (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[39, 23])).
% 8.03/8.22 tff(41,plain,
% 8.03/8.22 (((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(42,plain,
% 8.03/8.22 (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[41, 21])).
% 8.03/8.22 tff(43,assumption,(~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), introduced(assumption)).
% 8.03/8.22 tff(44,plain,
% 8.03/8.22 (((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(45,plain,
% 8.03/8.22 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[44, 43])).
% 8.03/8.22 tff(46,plain,
% 8.03/8.22 (((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(47,plain,
% 8.03/8.22 (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[46, 43])).
% 8.03/8.22 tff(48,assumption,(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), introduced(assumption)).
% 8.03/8.22 tff(49,plain,
% 8.03/8.22 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))),
% 8.03/8.22 inference(quant_inst,[status(thm)],[])).
% 8.03/8.22 tff(50,plain,
% 8.03/8.22 ($false),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[49, 34, 48])).
% 8.03/8.22 tff(51,plain,(~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), inference(lemma,lemma(discharge,[]))).
% 8.03/8.22 tff(52,plain,
% 8.03/8.22 ((~![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))) | (~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), C!2)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3)))),
% 8.03/8.22 inference(quant_inst,[status(thm)],[])).
% 8.03/8.22 tff(53,plain,
% 8.03/8.22 (~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), C!2)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[52, 17])).
% 8.03/8.22 tff(54,assumption,(member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)), introduced(assumption)).
% 8.03/8.22 tff(55,plain,
% 8.03/8.22 (((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), C!2)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(56,plain,
% 8.03/8.22 ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), C!2)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[55, 54])).
% 8.03/8.22 tff(57,plain,
% 8.03/8.22 ((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), C!2)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3)) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), C!2)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(58,plain,
% 8.03/8.22 ((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), C!2)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3)) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[57, 56])).
% 8.03/8.22 tff(59,plain,
% 8.03/8.22 (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3)),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[58, 53])).
% 8.03/8.22 tff(60,assumption,(~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), introduced(assumption)).
% 8.03/8.22 tff(61,assumption,(~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2))))), introduced(assumption)).
% 8.03/8.22 tff(62,plain,
% 8.03/8.22 (((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(63,plain,
% 8.03/8.22 (member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[62, 61])).
% 8.03/8.22 tff(64,assumption,(((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), introduced(assumption)).
% 8.03/8.22 tff(65,plain,
% 8.03/8.22 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.03/8.22 inference(quant_inst,[status(thm)],[])).
% 8.03/8.22 tff(66,plain,
% 8.03/8.22 ($false),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[65, 34, 64])).
% 8.03/8.22 tff(67,plain,(~(((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), inference(lemma,lemma(discharge,[]))).
% 8.03/8.22 tff(68,plain,
% 8.03/8.22 ((((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(69,plain,
% 8.03/8.22 ((~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[68, 67])).
% 8.03/8.22 tff(70,plain,
% 8.03/8.22 (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[69, 63])).
% 8.03/8.22 tff(71,plain,
% 8.03/8.22 (((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(72,plain,
% 8.03/8.22 (~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[71, 70])).
% 8.03/8.22 tff(73,plain,
% 8.03/8.22 (((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))) | (~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2))))),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(74,plain,
% 8.03/8.22 (~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[73, 61])).
% 8.03/8.22 tff(75,plain,
% 8.03/8.22 (((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)),
% 8.03/8.22 inference(tautology,[status(thm)],[])).
% 8.03/8.22 tff(76,plain,
% 8.03/8.22 (member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)),
% 8.03/8.22 inference(unit_resolution,[status(thm)],[75, 70])).
% 8.03/8.22 tff(77,plain,
% 8.03/8.22 ((~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2))))) | (~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))),
% 8.03/8.23 inference(tautology,[status(thm)],[])).
% 8.03/8.23 tff(78,plain,
% 8.03/8.23 (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2))))),
% 8.03/8.23 inference(unit_resolution,[status(thm)],[77, 76, 74])).
% 8.03/8.23 tff(79,assumption,(((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))), introduced(assumption)).
% 8.03/8.23 tff(80,plain,
% 8.03/8.23 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.03/8.23 inference(quant_inst,[status(thm)],[])).
% 8.03/8.23 tff(81,plain,
% 8.03/8.23 ($false),
% 8.03/8.23 inference(unit_resolution,[status(thm)],[80, 34, 79])).
% 8.03/8.23 tff(82,plain,(~(((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))), inference(lemma,lemma(discharge,[]))).
% 8.03/8.23 tff(83,plain,
% 8.03/8.23 ((((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | ((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.03/8.23 inference(tautology,[status(thm)],[])).
% 8.03/8.23 tff(84,plain,
% 8.03/8.23 (((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.03/8.23 inference(unit_resolution,[status(thm)],[83, 82])).
% 8.03/8.23 tff(85,plain,
% 8.03/8.23 ($false),
% 8.03/8.23 inference(unit_resolution,[status(thm)],[84, 78, 72])).
% 8.03/8.23 tff(86,plain,((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))), inference(lemma,lemma(discharge,[]))).
% 8.03/8.23 tff(87,assumption,((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(D!1, difference(C!2, C!2)))))) | (~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))))))), introduced(assumption)).
% 8.03/8.23 tff(88,plain,
% 8.03/8.23 (^[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))))))))),
% 8.03/8.23 inference(bind,[status(th)],[])).
% 8.03/8.23 tff(89,plain,
% 8.03/8.23 (![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)))))))),
% 8.03/8.23 inference(quant_intro,[status(thm)],[88])).
% 8.03/8.23 tff(90,plain,
% 8.03/8.23 (^[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))))))))),
% 8.03/8.23 inference(bind,[status(th)],[])).
% 8.03/8.23 tff(91,plain,
% 8.03/8.23 (![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)))))))),
% 8.03/8.23 inference(quant_intro,[status(thm)],[90])).
% 8.03/8.23 tff(92,plain,
% 8.03/8.23 (![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)))))))),
% 8.03/8.23 inference(transitivity,[status(thm)],[91, 89])).
% 8.03/8.23 tff(93,plain,
% 8.03/8.23 (^[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)))))))))),
% 8.03/8.23 inference(bind,[status(th)],[])).
% 8.03/8.23 tff(94,plain,
% 8.03/8.23 (![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)))))))),
% 8.03/8.23 inference(quant_intro,[status(thm)],[93])).
% 8.03/8.23 tff(95,plain,
% 8.03/8.23 (![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)))),
% 8.03/8.23 inference(rewrite,[status(thm)],[])).
% 8.03/8.23 tff(96,plain,
% 8.03/8.23 (^[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))))),
% 8.03/8.23 inference(bind,[status(th)],[])).
% 8.03/8.23 tff(97,plain,
% 8.03/8.23 (![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)))),
% 8.03/8.23 inference(quant_intro,[status(thm)],[96])).
% 8.03/8.23 tff(98,axiom,(![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : (member(D, B) => member(D, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','subset_defn')).
% 8.03/8.23 tff(99,plain,
% 8.03/8.23 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 8.03/8.23 inference(modus_ponens,[status(thm)],[98, 97])).
% 8.03/8.23 tff(100,plain,
% 8.03/8.23 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 8.03/8.23 inference(modus_ponens,[status(thm)],[99, 95])).
% 8.03/8.23 tff(101,plain,(
% 8.03/8.23 ![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)))))),
% 8.03/8.23 inference(skolemize,[status(sab)],[100])).
% 8.03/8.23 tff(102,plain,
% 8.03/8.23 (![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)))))))),
% 8.03/8.23 inference(modus_ponens,[status(thm)],[101, 94])).
% 8.03/8.23 tff(103,plain,
% 8.03/8.23 (![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)))))))),
% 8.03/8.23 inference(modus_ponens,[status(thm)],[102, 92])).
% 8.03/8.23 tff(104,plain,
% 8.03/8.23 ((~![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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(D!1, difference(C!2, C!2)))))) | (~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))))))))),
% 8.07/8.23 inference(quant_inst,[status(thm)],[])).
% 8.07/8.23 tff(105,plain,
% 8.07/8.23 ($false),
% 8.07/8.23 inference(unit_resolution,[status(thm)],[104, 103, 87])).
% 8.07/8.23 tff(106,plain,(~((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(D!1, difference(C!2, C!2)))))) | (~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2))))))))), inference(lemma,lemma(discharge,[]))).
% 8.07/8.23 tff(107,plain,
% 8.07/8.23 (((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(D!1, difference(C!2, C!2)))))) | (~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))))))) | (subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2))))))),
% 8.07/8.23 inference(tautology,[status(thm)],[])).
% 8.07/8.23 tff(108,plain,
% 8.07/8.23 (subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))))),
% 8.07/8.23 inference(unit_resolution,[status(thm)],[107, 106])).
% 8.07/8.23 tff(109,plain,
% 8.07/8.23 ((~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))))),
% 8.07/8.23 inference(tautology,[status(thm)],[])).
% 8.07/8.23 tff(110,plain,
% 8.07/8.23 (subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(C!2, C!2)))))),
% 8.07/8.23 inference(unit_resolution,[status(thm)],[109, 108])).
% 8.07/8.23 tff(111,plain,
% 8.07/8.23 (subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))),
% 8.07/8.23 inference(unit_resolution,[status(thm)],[110, 86])).
% 8.07/8.23 tff(112,plain,
% 8.07/8.23 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))))),
% 8.07/8.23 inference(quant_inst,[status(thm)],[])).
% 8.07/8.23 tff(113,plain,
% 8.07/8.23 (~(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2))))),
% 8.07/8.23 inference(unit_resolution,[status(thm)],[112, 34])).
% 8.07/8.23 tff(114,assumption,(~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), introduced(assumption)).
% 8.07/8.23 tff(115,plain,
% 8.07/8.23 (((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))),
% 8.07/8.23 inference(tautology,[status(thm)],[])).
% 8.07/8.23 tff(116,plain,
% 8.07/8.23 (member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))),
% 8.07/8.23 inference(unit_resolution,[status(thm)],[115, 114])).
% 8.07/8.23 tff(117,plain,
% 8.07/8.23 ((((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(C!2, C!2)))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.23 inference(tautology,[status(thm)],[])).
% 8.08/8.23 tff(118,plain,
% 8.08/8.23 ((((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(C!2, C!2))))),
% 8.08/8.23 inference(unit_resolution,[status(thm)],[117, 116])).
% 8.08/8.23 tff(119,plain,
% 8.08/8.23 (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(C!2, C!2)))),
% 8.08/8.23 inference(unit_resolution,[status(thm)],[118, 113])).
% 8.08/8.23 tff(120,plain,
% 8.08/8.23 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.08/8.23 inference(quant_inst,[status(thm)],[])).
% 8.08/8.23 tff(121,plain,
% 8.08/8.23 (~(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.23 inference(unit_resolution,[status(thm)],[120, 34])).
% 8.08/8.23 tff(122,plain,
% 8.08/8.23 (((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.23 inference(tautology,[status(thm)],[])).
% 8.08/8.23 tff(123,plain,
% 8.08/8.23 (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.23 inference(unit_resolution,[status(thm)],[122, 114])).
% 8.08/8.23 tff(124,plain,
% 8.08/8.23 ((((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.24 inference(tautology,[status(thm)],[])).
% 8.08/8.24 tff(125,plain,
% 8.08/8.24 ((((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[124, 123])).
% 8.08/8.24 tff(126,plain,
% 8.08/8.24 ((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[125, 121])).
% 8.08/8.24 tff(127,plain,
% 8.08/8.24 (((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.24 inference(tautology,[status(thm)],[])).
% 8.08/8.24 tff(128,plain,
% 8.08/8.24 ((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[127, 116])).
% 8.08/8.24 tff(129,assumption,(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))), introduced(assumption)).
% 8.08/8.24 tff(130,plain,
% 8.08/8.24 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.24 inference(quant_inst,[status(thm)],[])).
% 8.08/8.24 tff(131,plain,
% 8.08/8.24 ($false),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[130, 34, 129])).
% 8.08/8.24 tff(132,plain,(~(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2)))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.24 tff(133,plain,
% 8.08/8.24 ((((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2))))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.24 inference(tautology,[status(thm)],[])).
% 8.08/8.24 tff(134,plain,
% 8.08/8.24 ((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2))))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[133, 132])).
% 8.08/8.24 tff(135,plain,
% 8.08/8.24 (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[134, 128])).
% 8.08/8.24 tff(136,plain,
% 8.08/8.24 ((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.24 inference(tautology,[status(thm)],[])).
% 8.08/8.24 tff(137,plain,
% 8.08/8.24 ((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1))),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[136, 135])).
% 8.08/8.24 tff(138,plain,
% 8.08/8.24 (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[137, 126])).
% 8.08/8.24 tff(139,plain,
% 8.08/8.24 (((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(C!2, C!2))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), D!1)),
% 8.08/8.24 inference(tautology,[status(thm)],[])).
% 8.08/8.24 tff(140,plain,
% 8.08/8.24 ($false),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[139, 138, 119])).
% 8.08/8.24 tff(141,plain,((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.24 tff(142,plain,
% 8.08/8.24 (((~![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(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!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(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))))),
% 8.08/8.24 inference(rewrite,[status(thm)],[])).
% 8.08/8.24 tff(143,plain,
% 8.08/8.24 ((~((~((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~(subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))))) <=> (~((~((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))),
% 8.08/8.24 inference(rewrite,[status(thm)],[])).
% 8.08/8.24 tff(144,plain,
% 8.08/8.24 (((~![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(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~(subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!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(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))))),
% 8.08/8.24 inference(monotonicity,[status(thm)],[143])).
% 8.08/8.24 tff(145,plain,
% 8.08/8.24 (((~![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(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~(subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!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(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))))),
% 8.08/8.24 inference(transitivity,[status(thm)],[144, 142])).
% 8.08/8.24 tff(146,plain,
% 8.08/8.24 ((~![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(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~(subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))))),
% 8.08/8.24 inference(quant_inst,[status(thm)],[])).
% 8.08/8.24 tff(147,plain,
% 8.08/8.24 ((~![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(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))),
% 8.08/8.24 inference(modus_ponens,[status(thm)],[146, 145])).
% 8.08/8.24 tff(148,plain,
% 8.08/8.24 (~((~((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))),
% 8.08/8.24 inference(unit_resolution,[status(thm)],[147, 103])).
% 8.08/8.25 tff(149,plain,
% 8.08/8.25 (((~((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(D!1, difference(C!2, C!2)))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | ((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(150,plain,
% 8.08/8.25 ((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[149, 148])).
% 8.08/8.25 tff(151,plain,
% 8.08/8.25 ((~((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(152,plain,
% 8.08/8.25 ((~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[151, 150])).
% 8.08/8.25 tff(153,plain,
% 8.08/8.25 (subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[152, 141])).
% 8.08/8.25 tff(154,plain,
% 8.08/8.25 ((~((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(155,plain,
% 8.08/8.25 ((~((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[154, 153])).
% 8.08/8.25 tff(156,plain,
% 8.08/8.25 (~((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[155, 111])).
% 8.08/8.25 tff(157,plain,
% 8.08/8.25 (^[B: $i, C: $i] : refl((~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C))) <=> (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C))))),
% 8.08/8.25 inference(bind,[status(th)],[])).
% 8.08/8.25 tff(158,plain,
% 8.08/8.25 (![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C))) <=> ![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))),
% 8.08/8.25 inference(quant_intro,[status(thm)],[157])).
% 8.08/8.25 tff(159,plain,
% 8.08/8.25 (^[B: $i, C: $i] : trans(trans(monotonicity(rewrite((subset(B, C) & subset(C, B)) <=> (~((~subset(B, C)) | (~subset(C, B))))), (((B = C) <=> (subset(B, C) & subset(C, B))) <=> ((B = C) <=> (~((~subset(B, C)) | (~subset(C, B))))))), rewrite(((B = C) <=> (~((~subset(B, C)) | (~subset(C, B))))) <=> (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))), (((B = C) <=> (subset(B, C) & subset(C, B))) <=> (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C))))), rewrite((~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C))) <=> (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))), (((B = C) <=> (subset(B, C) & subset(C, B))) <=> (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))))),
% 8.08/8.25 inference(bind,[status(th)],[])).
% 8.08/8.25 tff(160,plain,
% 8.08/8.25 (![B: $i, C: $i] : ((B = C) <=> (subset(B, C) & subset(C, B))) <=> ![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))),
% 8.08/8.25 inference(quant_intro,[status(thm)],[159])).
% 8.08/8.25 tff(161,plain,
% 8.08/8.25 (![B: $i, C: $i] : ((B = C) <=> (subset(B, C) & subset(C, B))) <=> ![B: $i, C: $i] : ((B = C) <=> (subset(B, C) & subset(C, B)))),
% 8.08/8.25 inference(rewrite,[status(thm)],[])).
% 8.08/8.25 tff(162,axiom,(![B: $i, C: $i] : ((B = C) <=> (subset(B, C) & subset(C, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','equal_defn')).
% 8.08/8.25 tff(163,plain,
% 8.08/8.25 (![B: $i, C: $i] : ((B = C) <=> (subset(B, C) & subset(C, B)))),
% 8.08/8.25 inference(modus_ponens,[status(thm)],[162, 161])).
% 8.08/8.25 tff(164,plain,(
% 8.08/8.25 ![B: $i, C: $i] : ((B = C) <=> (subset(B, C) & subset(C, B)))),
% 8.08/8.25 inference(skolemize,[status(sab)],[163])).
% 8.08/8.25 tff(165,plain,
% 8.08/8.25 (![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))),
% 8.08/8.25 inference(modus_ponens,[status(thm)],[164, 160])).
% 8.08/8.25 tff(166,plain,
% 8.08/8.25 (![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))),
% 8.08/8.25 inference(modus_ponens,[status(thm)],[165, 158])).
% 8.08/8.25 tff(167,plain,
% 8.08/8.25 ((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))) <=> (difference(D!1, difference(C!2, C!2)) = difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.08/8.25 inference(quant_inst,[status(thm)],[])).
% 8.08/8.25 tff(168,plain,
% 8.08/8.25 (~(((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))) <=> (difference(D!1, difference(C!2, C!2)) = difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[167, 166])).
% 8.08/8.25 tff(169,plain,
% 8.08/8.25 ((((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))) <=> (difference(D!1, difference(C!2, C!2)) = difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))) | (difference(D!1, difference(C!2, C!2)) = difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(170,plain,
% 8.08/8.25 (((~subset(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))) | (difference(D!1, difference(C!2, C!2)) = difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[169, 168])).
% 8.08/8.25 tff(171,plain,
% 8.08/8.25 (difference(D!1, difference(C!2, C!2)) = difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[170, 156])).
% 8.08/8.25 tff(172,plain,
% 8.08/8.25 (difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(D!1, difference(C!2, C!2))),
% 8.08/8.25 inference(symmetry,[status(thm)],[171])).
% 8.08/8.25 tff(173,plain,
% 8.08/8.25 (difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.25 inference(monotonicity,[status(thm)],[172])).
% 8.08/8.25 tff(174,plain,
% 8.08/8.25 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.08/8.25 inference(monotonicity,[status(thm)],[173])).
% 8.08/8.25 tff(175,plain,
% 8.08/8.25 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.08/8.25 inference(symmetry,[status(thm)],[174])).
% 8.08/8.25 tff(176,plain,
% 8.08/8.25 ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) <=> (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.08/8.25 inference(monotonicity,[status(thm)],[175])).
% 8.08/8.25 tff(177,assumption,(~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), introduced(assumption)).
% 8.08/8.25 tff(178,plain,
% 8.08/8.25 (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.08/8.25 inference(modus_ponens,[status(thm)],[177, 176])).
% 8.08/8.25 tff(179,plain,
% 8.08/8.25 ((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(180,plain,
% 8.08/8.25 ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[179, 178, 60])).
% 8.08/8.25 tff(181,plain,
% 8.08/8.25 (difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = difference(D!1, difference(D!1, difference(C!2, C!2)))),
% 8.08/8.25 inference(monotonicity,[status(thm)],[172])).
% 8.08/8.25 tff(182,plain,
% 8.08/8.25 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.25 inference(monotonicity,[status(thm)],[181])).
% 8.08/8.25 tff(183,plain,
% 8.08/8.25 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.25 inference(symmetry,[status(thm)],[182])).
% 8.08/8.25 tff(184,plain,
% 8.08/8.25 ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.08/8.25 inference(monotonicity,[status(thm)],[183])).
% 8.08/8.25 tff(185,assumption,(~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), introduced(assumption)).
% 8.08/8.25 tff(186,plain,
% 8.08/8.25 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.25 inference(quant_inst,[status(thm)],[])).
% 8.08/8.25 tff(187,plain,
% 8.08/8.25 (~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[186, 34])).
% 8.08/8.25 tff(188,assumption,(~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3))), introduced(assumption)).
% 8.08/8.25 tff(189,plain,
% 8.08/8.25 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(190,plain,
% 8.08/8.25 (member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[189, 188])).
% 8.08/8.25 tff(191,plain,
% 8.08/8.25 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(192,plain,
% 8.08/8.25 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[191, 190])).
% 8.08/8.25 tff(193,plain,
% 8.08/8.25 (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[192, 187])).
% 8.08/8.25 tff(194,plain,
% 8.08/8.25 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(195,plain,
% 8.08/8.25 (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[194, 193])).
% 8.08/8.25 tff(196,plain,
% 8.08/8.25 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(197,plain,
% 8.08/8.25 (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[196, 188])).
% 8.08/8.25 tff(198,assumption,((~((~subset(difference(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3)))) | (~(subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3)))))), introduced(assumption)).
% 8.08/8.25 tff(199,plain,
% 8.08/8.25 ((~![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(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3)))) | (~(subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3)))))))),
% 8.08/8.25 inference(quant_inst,[status(thm)],[])).
% 8.08/8.25 tff(200,plain,
% 8.08/8.25 ($false),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[199, 103, 198])).
% 8.08/8.25 tff(201,plain,(~((~((~subset(difference(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3)))) | (~(subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3))))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.25 tff(202,plain,
% 8.08/8.25 (((~((~subset(difference(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3)))) | (~(subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3)))))) | ((~subset(difference(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3)))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.25 tff(203,plain,
% 8.08/8.25 ((~subset(difference(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))),
% 8.08/8.25 inference(unit_resolution,[status(thm)],[202, 201])).
% 8.08/8.25 tff(204,plain,
% 8.08/8.25 (((~((~subset(difference(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3)))) | (~(subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3)))))) | (subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3))))),
% 8.08/8.25 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(205,plain,
% 8.08/8.26 (subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3)))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[204, 201])).
% 8.08/8.26 tff(206,assumption,(member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))), introduced(assumption)).
% 8.08/8.26 tff(207,plain,
% 8.08/8.26 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2)))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))))),
% 8.08/8.26 inference(rewrite,[status(thm)],[])).
% 8.08/8.26 tff(208,plain,
% 8.08/8.26 ((~(((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), C!2)) <=> member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2)))) <=> (~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2)))),
% 8.08/8.26 inference(rewrite,[status(thm)],[])).
% 8.08/8.26 tff(209,plain,
% 8.08/8.26 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), C!2)) <=> member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))))),
% 8.08/8.26 inference(monotonicity,[status(thm)],[208])).
% 8.08/8.26 tff(210,plain,
% 8.08/8.26 (((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), C!2)) <=> member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))))) <=> ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))))),
% 8.08/8.26 inference(transitivity,[status(thm)],[209, 207])).
% 8.08/8.26 tff(211,plain,
% 8.08/8.26 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), C!2)) <=> member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))))),
% 8.08/8.26 inference(quant_inst,[status(thm)],[])).
% 8.08/8.26 tff(212,plain,
% 8.08/8.26 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2)))),
% 8.08/8.26 inference(modus_ponens,[status(thm)],[211, 210])).
% 8.08/8.26 tff(213,plain,
% 8.08/8.26 ($false),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[212, 34, 206])).
% 8.08/8.26 tff(214,plain,(~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.26 tff(215,plain,
% 8.08/8.26 (((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3)) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(216,plain,
% 8.08/8.26 ((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3)),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[215, 214])).
% 8.08/8.26 tff(217,plain,
% 8.08/8.26 ((~(subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3))))) | subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3)))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(218,plain,
% 8.08/8.26 ((~(subset(difference(C!2, C!2), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, C!2)), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(C!2, C!2)), B!3))))) | subset(difference(C!2, C!2), B!3)),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[217, 216])).
% 8.08/8.26 tff(219,plain,
% 8.08/8.26 (subset(difference(C!2, C!2), B!3)),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[218, 205])).
% 8.08/8.26 tff(220,plain,
% 8.08/8.26 ((~((~subset(difference(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3)))) | (~subset(difference(C!2, C!2), B!3)) | ![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(221,plain,
% 8.08/8.26 (![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[220, 219, 203])).
% 8.08/8.26 tff(222,plain,
% 8.08/8.26 (((~![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3))) <=> ((~![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3))),
% 8.08/8.26 inference(rewrite,[status(thm)],[])).
% 8.08/8.26 tff(223,plain,
% 8.08/8.26 ((~![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3))),
% 8.08/8.26 inference(quant_inst,[status(thm)],[])).
% 8.08/8.26 tff(224,plain,
% 8.08/8.26 ((~![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)),
% 8.08/8.26 inference(modus_ponens,[status(thm)],[223, 222])).
% 8.08/8.26 tff(225,plain,
% 8.08/8.26 (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[224, 221, 197])).
% 8.08/8.26 tff(226,plain,
% 8.08/8.26 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(227,plain,
% 8.08/8.26 (member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[226, 193])).
% 8.08/8.26 tff(228,plain,
% 8.08/8.26 ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2)))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(229,plain,
% 8.08/8.26 (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2)))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[228, 227, 225])).
% 8.08/8.26 tff(230,assumption,(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))), introduced(assumption)).
% 8.08/8.26 tff(231,plain,
% 8.08/8.26 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.26 inference(quant_inst,[status(thm)],[])).
% 8.08/8.26 tff(232,plain,
% 8.08/8.26 ($false),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[231, 34, 230])).
% 8.08/8.26 tff(233,plain,(~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.26 tff(234,plain,
% 8.08/8.26 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(235,plain,
% 8.08/8.26 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[234, 233])).
% 8.08/8.26 tff(236,plain,
% 8.08/8.26 ($false),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[235, 229, 195])).
% 8.08/8.26 tff(237,plain,((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)), inference(lemma,lemma(discharge,[]))).
% 8.08/8.26 tff(238,plain,
% 8.08/8.26 ((~![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(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3)))) | (~(subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)))))))),
% 8.08/8.26 inference(quant_inst,[status(thm)],[])).
% 8.08/8.26 tff(239,plain,
% 8.08/8.26 (~((~((~subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3)))) | (~(subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3))))))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[238, 103])).
% 8.08/8.26 tff(240,plain,
% 8.08/8.26 (((~((~subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3)))) | (~(subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)))))) | (subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3))))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(241,plain,
% 8.08/8.26 (subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[240, 239])).
% 8.08/8.26 tff(242,plain,
% 8.08/8.26 ((~(subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3))))) | subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(243,plain,
% 8.08/8.26 (subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[242, 241])).
% 8.08/8.26 tff(244,plain,
% 8.08/8.26 (subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[243, 237])).
% 8.08/8.26 tff(245,plain,
% 8.08/8.26 (((~((~subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3)))) | (~(subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(D!1, difference(C!2, C!2)))), B!3)))))) | ((~subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3)))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(246,plain,
% 8.08/8.26 ((~subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[245, 239])).
% 8.08/8.26 tff(247,plain,
% 8.08/8.26 ((~((~subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3)))) | (~subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(248,plain,
% 8.08/8.26 ((~subset(difference(D!1, difference(D!1, difference(C!2, C!2))), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[247, 246])).
% 8.08/8.26 tff(249,plain,
% 8.08/8.26 (![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[248, 244])).
% 8.08/8.26 tff(250,plain,
% 8.08/8.26 (((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))) <=> ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))),
% 8.08/8.26 inference(rewrite,[status(thm)],[])).
% 8.08/8.26 tff(251,plain,
% 8.08/8.26 ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))),
% 8.08/8.26 inference(quant_inst,[status(thm)],[])).
% 8.08/8.26 tff(252,plain,
% 8.08/8.26 ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3)),
% 8.08/8.26 inference(modus_ponens,[status(thm)],[251, 250])).
% 8.08/8.26 tff(253,plain,
% 8.08/8.26 (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[252, 249, 59])).
% 8.08/8.26 tff(254,assumption,(~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), introduced(assumption)).
% 8.08/8.26 tff(255,plain,
% 8.08/8.26 ((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(256,plain,
% 8.08/8.26 ((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[255, 185])).
% 8.08/8.26 tff(257,plain,
% 8.08/8.26 ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[256, 254])).
% 8.08/8.26 tff(258,plain,
% 8.08/8.26 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.26 inference(tautology,[status(thm)],[])).
% 8.08/8.26 tff(259,plain,
% 8.08/8.26 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[258, 54])).
% 8.08/8.26 tff(260,plain,
% 8.08/8.26 ($false),
% 8.08/8.26 inference(unit_resolution,[status(thm)],[259, 257, 253])).
% 8.08/8.26 tff(261,plain,((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.26 tff(262,plain,
% 8.08/8.26 (((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[261, 185, 54])).
% 8.08/8.27 tff(263,plain,
% 8.08/8.27 ((~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.27 inference(tautology,[status(thm)],[])).
% 8.08/8.27 tff(264,plain,
% 8.08/8.27 ((~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[263, 185])).
% 8.08/8.27 tff(265,plain,
% 8.08/8.27 (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[264, 262])).
% 8.08/8.27 tff(266,plain,
% 8.08/8.27 (((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.27 inference(tautology,[status(thm)],[])).
% 8.08/8.27 tff(267,plain,
% 8.08/8.27 (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[266, 265])).
% 8.08/8.27 tff(268,plain,
% 8.08/8.27 (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.27 inference(modus_ponens,[status(thm)],[267, 184])).
% 8.08/8.27 tff(269,plain,
% 8.08/8.27 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))),
% 8.08/8.27 inference(quant_inst,[status(thm)],[])).
% 8.08/8.27 tff(270,plain,
% 8.08/8.27 (~(((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[269, 34])).
% 8.08/8.27 tff(271,plain,
% 8.08/8.27 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.27 inference(tautology,[status(thm)],[])).
% 8.08/8.27 tff(272,plain,
% 8.08/8.27 (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[271, 54, 185])).
% 8.08/8.27 tff(273,plain,
% 8.08/8.27 ((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.27 inference(tautology,[status(thm)],[])).
% 8.08/8.27 tff(274,plain,
% 8.08/8.27 ((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[273, 272])).
% 8.08/8.27 tff(275,plain,
% 8.08/8.27 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[274, 270])).
% 8.08/8.27 tff(276,plain,
% 8.08/8.27 ($false),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[275, 268])).
% 8.08/8.27 tff(277,plain,(member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.27 tff(278,plain,
% 8.08/8.27 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[277, 54])).
% 8.08/8.27 tff(279,plain,
% 8.08/8.27 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.27 inference(tautology,[status(thm)],[])).
% 8.08/8.27 tff(280,plain,
% 8.08/8.27 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[279, 278])).
% 8.08/8.27 tff(281,plain,
% 8.08/8.27 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[280, 180])).
% 8.08/8.27 tff(282,assumption,(~![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))), introduced(assumption)).
% 8.08/8.27 tff(283,plain,
% 8.08/8.27 (((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!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(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))))))),
% 8.08/8.27 inference(rewrite,[status(thm)],[])).
% 8.08/8.27 tff(284,plain,
% 8.08/8.27 ((~((~((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~(subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))))))) <=> (~((~((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)))))),
% 8.08/8.27 inference(rewrite,[status(thm)],[])).
% 8.08/8.27 tff(285,plain,
% 8.08/8.27 (((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~(subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!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(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))))))),
% 8.08/8.27 inference(monotonicity,[status(thm)],[284])).
% 8.08/8.27 tff(286,plain,
% 8.08/8.27 (((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~(subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!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(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))))))),
% 8.08/8.27 inference(transitivity,[status(thm)],[285, 283])).
% 8.08/8.27 tff(287,plain,
% 8.08/8.27 ((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~(subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)))))))),
% 8.08/8.27 inference(quant_inst,[status(thm)],[])).
% 8.08/8.27 tff(288,plain,
% 8.08/8.27 ((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)))))),
% 8.08/8.27 inference(modus_ponens,[status(thm)],[287, 286])).
% 8.08/8.27 tff(289,plain,
% 8.08/8.27 (~((~((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[288, 103])).
% 8.08/8.27 tff(290,plain,
% 8.08/8.27 (((~((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)))) | ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))),
% 8.08/8.27 inference(tautology,[status(thm)],[])).
% 8.08/8.27 tff(291,plain,
% 8.08/8.27 ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[290, 289])).
% 8.08/8.27 tff(292,plain,
% 8.08/8.27 (((~((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)))) | ((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))),
% 8.08/8.27 inference(tautology,[status(thm)],[])).
% 8.08/8.27 tff(293,plain,
% 8.08/8.27 ((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))),
% 8.08/8.27 inference(unit_resolution,[status(thm)],[292, 289])).
% 8.08/8.27 tff(294,plain,
% 8.08/8.27 ((~((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(295,plain,
% 8.08/8.28 ((~((~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)))) | (~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[294, 282])).
% 8.08/8.28 tff(296,plain,
% 8.08/8.28 (~subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[295, 293])).
% 8.08/8.28 tff(297,assumption,(member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)), introduced(assumption)).
% 8.08/8.28 tff(298,plain,
% 8.08/8.28 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(299,plain,
% 8.08/8.28 ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[298, 297])).
% 8.08/8.28 tff(300,plain,
% 8.08/8.28 ((~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(301,plain,
% 8.08/8.28 ((~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[300, 299])).
% 8.08/8.28 tff(302,plain,
% 8.08/8.28 ($false),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[301, 296, 291])).
% 8.08/8.28 tff(303,plain,(![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.28 tff(304,plain,
% 8.08/8.28 (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[303, 282])).
% 8.08/8.28 tff(305,assumption,(~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), introduced(assumption)).
% 8.08/8.28 tff(306,plain,
% 8.08/8.28 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(307,plain,
% 8.08/8.28 ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[306, 305])).
% 8.08/8.28 tff(308,assumption,((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)), introduced(assumption)).
% 8.08/8.28 tff(309,plain,
% 8.08/8.28 ((~((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3))) | subset(difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)), B!3)),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[300, 308])).
% 8.08/8.28 tff(310,plain,
% 8.08/8.28 ($false),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[309, 296, 291])).
% 8.08/8.28 tff(311,plain,((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | ![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.28 tff(312,plain,
% 8.08/8.28 ($false),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[311, 307, 282])).
% 8.08/8.28 tff(313,plain,(![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.28 tff(314,plain,
% 8.08/8.28 (member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[313, 282])).
% 8.08/8.28 tff(315,assumption,(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), introduced(assumption)).
% 8.08/8.28 tff(316,plain,
% 8.08/8.28 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.08/8.28 inference(quant_inst,[status(thm)],[])).
% 8.08/8.28 tff(317,plain,
% 8.08/8.28 ($false),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[316, 34, 315])).
% 8.08/8.28 tff(318,plain,(~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.28 tff(319,plain,
% 8.08/8.28 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(320,plain,
% 8.08/8.28 ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[319, 318])).
% 8.08/8.28 tff(321,plain,
% 8.08/8.28 (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[320, 314])).
% 8.08/8.28 tff(322,assumption,(~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)), introduced(assumption)).
% 8.08/8.28 tff(323,assumption,(~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2)))))), introduced(assumption)).
% 8.08/8.28 tff(324,assumption,(~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3)))), introduced(assumption)).
% 8.08/8.28 tff(325,plain,
% 8.08/8.28 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(326,plain,
% 8.08/8.28 (member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[325, 324])).
% 8.08/8.28 tff(327,plain,
% 8.08/8.28 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(328,plain,
% 8.08/8.28 (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[327, 324])).
% 8.08/8.28 tff(329,plain,
% 8.08/8.28 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.08/8.28 inference(quant_inst,[status(thm)],[])).
% 8.08/8.28 tff(330,plain,
% 8.08/8.28 (~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[329, 34])).
% 8.08/8.28 tff(331,assumption,(~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))), introduced(assumption)).
% 8.08/8.28 tff(332,plain,
% 8.08/8.28 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(333,plain,
% 8.08/8.28 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[332, 331])).
% 8.08/8.28 tff(334,plain,
% 8.08/8.28 ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[333, 330])).
% 8.08/8.28 tff(335,plain,
% 8.08/8.28 (((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) <=> ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))),
% 8.08/8.28 inference(rewrite,[status(thm)],[])).
% 8.08/8.28 tff(336,plain,
% 8.08/8.28 ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))),
% 8.08/8.28 inference(quant_inst,[status(thm)],[])).
% 8.08/8.28 tff(337,plain,
% 8.08/8.28 ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)),
% 8.08/8.28 inference(modus_ponens,[status(thm)],[336, 335])).
% 8.08/8.28 tff(338,plain,
% 8.08/8.28 (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[337, 249, 322])).
% 8.08/8.28 tff(339,plain,
% 8.08/8.28 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(340,plain,
% 8.08/8.28 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[339, 338])).
% 8.08/8.28 tff(341,plain,
% 8.08/8.28 ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.28 inference(unit_resolution,[status(thm)],[340, 323])).
% 8.08/8.28 tff(342,assumption,(member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)), introduced(assumption)).
% 8.08/8.28 tff(343,plain,
% 8.08/8.28 ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2))))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.28 inference(tautology,[status(thm)],[])).
% 8.08/8.28 tff(344,plain,
% 8.08/8.28 ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[343, 342])).
% 8.08/8.29 tff(345,plain,
% 8.08/8.29 (member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[344, 341])).
% 8.08/8.29 tff(346,plain,
% 8.08/8.29 ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)),
% 8.08/8.29 inference(tautology,[status(thm)],[])).
% 8.08/8.29 tff(347,plain,
% 8.08/8.29 ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[346, 322])).
% 8.08/8.29 tff(348,plain,
% 8.08/8.29 ($false),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[347, 345, 334])).
% 8.08/8.29 tff(349,plain,((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.29 tff(350,plain,
% 8.08/8.29 ($false),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[349, 328, 326, 323, 322])).
% 8.08/8.29 tff(351,plain,(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(difference(D!1, difference(C!2, C!2)), B!3))) | (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)), inference(lemma,lemma(discharge,[]))).
% 8.08/8.29 tff(352,plain,
% 8.08/8.29 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[351, 321, 304])).
% 8.08/8.29 tff(353,assumption,(member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))), introduced(assumption)).
% 8.08/8.29 tff(354,plain,
% 8.08/8.29 (((~![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))) <=> ((~![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))),
% 8.08/8.29 inference(rewrite,[status(thm)],[])).
% 8.08/8.29 tff(355,plain,
% 8.08/8.29 ((~![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3))),
% 8.08/8.29 inference(quant_inst,[status(thm)],[])).
% 8.08/8.29 tff(356,plain,
% 8.08/8.29 ((~![D: $i] : ((~member(D, difference(C!2, C!2))) | member(D, B!3))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)),
% 8.08/8.29 inference(modus_ponens,[status(thm)],[355, 354])).
% 8.08/8.29 tff(357,plain,
% 8.08/8.29 ($false),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[356, 221, 322, 353])).
% 8.08/8.29 tff(358,plain,((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), B!3)), inference(lemma,lemma(discharge,[]))).
% 8.08/8.29 tff(359,plain,
% 8.08/8.29 (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[358, 304])).
% 8.08/8.29 tff(360,plain,
% 8.08/8.29 (member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[325, 321])).
% 8.08/8.29 tff(361,plain,
% 8.08/8.29 ((~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2)))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))),
% 8.08/8.29 inference(tautology,[status(thm)],[])).
% 8.08/8.29 tff(362,plain,
% 8.08/8.29 (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2)))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[361, 360, 359])).
% 8.08/8.29 tff(363,assumption,(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))), introduced(assumption)).
% 8.08/8.29 tff(364,plain,
% 8.08/8.29 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))))),
% 8.08/8.29 inference(quant_inst,[status(thm)],[])).
% 8.08/8.29 tff(365,plain,
% 8.08/8.29 ($false),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[364, 34, 363])).
% 8.08/8.29 tff(366,plain,(~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.29 tff(367,plain,
% 8.08/8.29 ((((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.29 inference(tautology,[status(thm)],[])).
% 8.08/8.29 tff(368,plain,
% 8.08/8.29 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(C!2, C!2))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[367, 366])).
% 8.08/8.29 tff(369,plain,
% 8.08/8.29 (member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[368, 362])).
% 8.08/8.29 tff(370,plain,
% 8.08/8.29 (((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) | (~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2))))),
% 8.08/8.29 inference(tautology,[status(thm)],[])).
% 8.08/8.29 tff(371,plain,
% 8.08/8.29 ((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[370, 369])).
% 8.08/8.29 tff(372,plain,
% 8.08/8.29 ((~(((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2)))) <=> member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~((~member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.29 inference(tautology,[status(thm)],[])).
% 8.08/8.29 tff(373,plain,
% 8.08/8.29 (member(tptp_fun_D_0(B!3, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[372, 371, 352])).
% 8.08/8.29 tff(374,plain,
% 8.08/8.29 ($false),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[337, 249, 373, 304])).
% 8.08/8.29 tff(375,plain,(![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.29 tff(376,plain,
% 8.08/8.29 (((~![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))) <=> ((~![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))),
% 8.08/8.29 inference(rewrite,[status(thm)],[])).
% 8.08/8.29 tff(377,plain,
% 8.08/8.29 ((~![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3))),
% 8.08/8.29 inference(quant_inst,[status(thm)],[])).
% 8.08/8.29 tff(378,plain,
% 8.08/8.29 ((~![D: $i] : ((~member(D, difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(D, B!3))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), B!3)),
% 8.08/8.29 inference(modus_ponens,[status(thm)],[377, 376])).
% 8.08/8.29 tff(379,plain,
% 8.08/8.29 ($false),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[378, 375, 281, 59])).
% 8.08/8.29 tff(380,plain,((((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.29 tff(381,plain,
% 8.08/8.29 (member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1))),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[380, 51])).
% 8.08/8.29 tff(382,plain,
% 8.08/8.29 ($false),
% 8.08/8.29 inference(unit_resolution,[status(thm)],[381, 47, 45])).
% 8.08/8.29 tff(383,plain,((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.29 tff(384,assumption,((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))), introduced(assumption)).
% 8.08/8.29 tff(385,plain,
% 8.08/8.29 (((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!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(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))))),
% 8.08/8.29 inference(rewrite,[status(thm)],[])).
% 8.08/8.29 tff(386,plain,
% 8.08/8.29 ((~((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~(subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))))) <=> (~((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))))),
% 8.08/8.29 inference(rewrite,[status(thm)],[])).
% 8.08/8.29 tff(387,plain,
% 8.08/8.29 (((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~(subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!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(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))))),
% 8.08/8.29 inference(monotonicity,[status(thm)],[386])).
% 8.08/8.29 tff(388,plain,
% 8.08/8.29 (((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~(subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!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(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))))),
% 8.08/8.30 inference(transitivity,[status(thm)],[387, 385])).
% 8.08/8.30 tff(389,plain,
% 8.08/8.30 ((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~(subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))))))),
% 8.08/8.30 inference(quant_inst,[status(thm)],[])).
% 8.08/8.30 tff(390,plain,
% 8.08/8.30 ((~![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(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))))),
% 8.08/8.30 inference(modus_ponens,[status(thm)],[389, 388])).
% 8.08/8.30 tff(391,plain,
% 8.08/8.30 ($false),
% 8.08/8.30 inference(unit_resolution,[status(thm)],[390, 103, 384])).
% 8.08/8.30 tff(392,plain,(~((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))), inference(lemma,lemma(discharge,[]))).
% 8.08/8.30 tff(393,assumption,(~((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))), introduced(assumption)).
% 8.08/8.30 tff(394,plain,
% 8.08/8.30 (((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.08/8.30 inference(tautology,[status(thm)],[])).
% 8.08/8.30 tff(395,plain,
% 8.08/8.30 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[394, 393])).
% 8.14/8.30 tff(396,plain,
% 8.14/8.30 (((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | ((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))),
% 8.14/8.30 inference(tautology,[status(thm)],[])).
% 8.14/8.30 tff(397,plain,
% 8.14/8.30 ((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[396, 393])).
% 8.14/8.30 tff(398,assumption,(~![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), introduced(assumption)).
% 8.14/8.30 tff(399,plain,
% 8.14/8.30 ((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.30 inference(tautology,[status(thm)],[])).
% 8.14/8.30 tff(400,plain,
% 8.14/8.30 ((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[399, 398])).
% 8.14/8.30 tff(401,plain,
% 8.14/8.30 (~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[400, 397])).
% 8.14/8.30 tff(402,assumption,((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), introduced(assumption)).
% 8.14/8.30 tff(403,plain,
% 8.14/8.30 ((~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.30 inference(tautology,[status(thm)],[])).
% 8.14/8.30 tff(404,plain,
% 8.14/8.30 ((~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[403, 402])).
% 8.14/8.30 tff(405,plain,
% 8.14/8.30 ($false),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[404, 401, 395])).
% 8.14/8.30 tff(406,plain,(((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.30 tff(407,plain,
% 8.14/8.30 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | ![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[406, 392])).
% 8.14/8.30 tff(408,plain,
% 8.14/8.30 (![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[407, 383])).
% 8.14/8.30 tff(409,assumption,(member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)), introduced(assumption)).
% 8.14/8.30 tff(410,assumption,(~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), introduced(assumption)).
% 8.14/8.30 tff(411,assumption,(![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), introduced(assumption)).
% 8.14/8.30 tff(412,plain,
% 8.14/8.30 (((~![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) <=> ((~![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.30 inference(rewrite,[status(thm)],[])).
% 8.14/8.30 tff(413,plain,
% 8.14/8.30 ((~![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.30 inference(quant_inst,[status(thm)],[])).
% 8.14/8.30 tff(414,plain,
% 8.14/8.30 ((~![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.30 inference(modus_ponens,[status(thm)],[413, 412])).
% 8.14/8.30 tff(415,plain,
% 8.14/8.30 ($false),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[414, 411, 410, 409])).
% 8.14/8.30 tff(416,plain,((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | (~![D: $i] : ((~member(D, D!1)) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.30 tff(417,plain,
% 8.14/8.30 ((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[416, 408])).
% 8.14/8.30 tff(418,plain,
% 8.14/8.30 (~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[417, 42])).
% 8.14/8.30 tff(419,plain,
% 8.14/8.30 (((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), D!1)),
% 8.14/8.30 inference(tautology,[status(thm)],[])).
% 8.14/8.30 tff(420,plain,
% 8.14/8.30 ($false),
% 8.14/8.30 inference(unit_resolution,[status(thm)],[419, 418, 40])).
% 8.14/8.30 tff(421,plain,((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.30 tff(422,assumption,((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))), introduced(assumption)).
% 8.14/8.31 tff(423,plain,
% 8.14/8.31 (((~![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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))))),
% 8.14/8.31 inference(rewrite,[status(thm)],[])).
% 8.14/8.31 tff(424,plain,
% 8.14/8.31 ((~((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))))) <=> (~((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))))),
% 8.14/8.31 inference(rewrite,[status(thm)],[])).
% 8.14/8.31 tff(425,plain,
% 8.14/8.31 (((~![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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))))),
% 8.14/8.31 inference(monotonicity,[status(thm)],[424])).
% 8.14/8.31 tff(426,plain,
% 8.14/8.31 (((~![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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))))),
% 8.14/8.31 inference(transitivity,[status(thm)],[425, 423])).
% 8.14/8.31 tff(427,plain,
% 8.14/8.31 ((~![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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~(subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))))))),
% 8.14/8.31 inference(quant_inst,[status(thm)],[])).
% 8.14/8.31 tff(428,plain,
% 8.14/8.31 ((~![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(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))))),
% 8.14/8.31 inference(modus_ponens,[status(thm)],[427, 426])).
% 8.14/8.31 tff(429,plain,
% 8.14/8.31 ($false),
% 8.14/8.31 inference(unit_resolution,[status(thm)],[428, 103, 422])).
% 8.14/8.31 tff(430,plain,(~((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.31 tff(431,plain,
% 8.14/8.31 (((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | (~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))) | ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.31 inference(tautology,[status(thm)],[])).
% 8.14/8.31 tff(432,plain,
% 8.14/8.31 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[431, 430])).
% 8.14/8.32 tff(433,plain,
% 8.14/8.32 ((~((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | (~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(tautology,[status(thm)],[])).
% 8.14/8.32 tff(434,plain,
% 8.14/8.32 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[433, 432])).
% 8.14/8.32 tff(435,plain,
% 8.14/8.32 (subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[434, 421])).
% 8.14/8.32 tff(436,assumption,((~((~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))), introduced(assumption)).
% 8.14/8.32 tff(437,plain,
% 8.14/8.32 ((~![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(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))))),
% 8.14/8.32 inference(quant_inst,[status(thm)],[])).
% 8.14/8.32 tff(438,plain,
% 8.14/8.32 ($false),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[437, 103, 436])).
% 8.14/8.32 tff(439,plain,(~((~((~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.32 tff(440,plain,
% 8.14/8.32 (((~((~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ![D: $i] : ((~member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(D, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))) | (subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))),
% 8.14/8.32 inference(tautology,[status(thm)],[])).
% 8.14/8.32 tff(441,plain,
% 8.14/8.32 (subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[440, 439])).
% 8.14/8.32 tff(442,plain,
% 8.14/8.32 (member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(monotonicity,[status(thm)],[173])).
% 8.14/8.32 tff(443,plain,
% 8.14/8.32 (member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(symmetry,[status(thm)],[442])).
% 8.14/8.32 tff(444,assumption,(~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), introduced(assumption)).
% 8.14/8.32 tff(445,plain,
% 8.14/8.32 (((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(tautology,[status(thm)],[])).
% 8.14/8.32 tff(446,plain,
% 8.14/8.32 (member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[445, 444])).
% 8.14/8.32 tff(447,plain,
% 8.14/8.32 (member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(modus_ponens,[status(thm)],[446, 443])).
% 8.14/8.32 tff(448,plain,
% 8.14/8.32 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))),
% 8.14/8.32 inference(quant_inst,[status(thm)],[])).
% 8.14/8.32 tff(449,plain,
% 8.14/8.32 (~(((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[448, 34])).
% 8.14/8.32 tff(450,plain,
% 8.14/8.32 (((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.14/8.32 inference(tautology,[status(thm)],[])).
% 8.14/8.32 tff(451,plain,
% 8.14/8.32 (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[450, 444])).
% 8.14/8.32 tff(452,plain,
% 8.14/8.32 (((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.32 inference(tautology,[status(thm)],[])).
% 8.14/8.32 tff(453,plain,
% 8.14/8.32 ((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[452, 451])).
% 8.14/8.32 tff(454,plain,
% 8.14/8.32 ((((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.32 inference(tautology,[status(thm)],[])).
% 8.14/8.32 tff(455,plain,
% 8.14/8.32 ((((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[454, 453])).
% 8.14/8.32 tff(456,plain,
% 8.14/8.32 (~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[455, 449])).
% 8.14/8.32 tff(457,plain,
% 8.14/8.32 ($false),
% 8.14/8.32 inference(unit_resolution,[status(thm)],[456, 447])).
% 8.14/8.32 tff(458,plain,((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.33 tff(459,plain,
% 8.14/8.33 ((~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.14/8.33 inference(tautology,[status(thm)],[])).
% 8.14/8.33 tff(460,plain,
% 8.14/8.33 ((~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | (~((~member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[459, 458])).
% 8.14/8.33 tff(461,plain,
% 8.14/8.33 (subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[460, 441])).
% 8.14/8.33 tff(462,plain,
% 8.14/8.33 ((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.14/8.33 inference(tautology,[status(thm)],[])).
% 8.14/8.33 tff(463,plain,
% 8.14/8.33 ((~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[462, 461])).
% 8.14/8.33 tff(464,plain,
% 8.14/8.33 (~((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[463, 435])).
% 8.14/8.33 tff(465,assumption,(((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) <=> (difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), introduced(assumption)).
% 8.14/8.33 tff(466,plain,
% 8.14/8.33 ((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) <=> (difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))),
% 8.14/8.33 inference(quant_inst,[status(thm)],[])).
% 8.14/8.33 tff(467,plain,
% 8.14/8.33 ($false),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[466, 166, 465])).
% 8.14/8.33 tff(468,plain,(~(((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) <=> (difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.33 tff(469,plain,
% 8.14/8.33 ((((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) <=> (difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.33 inference(tautology,[status(thm)],[])).
% 8.14/8.33 tff(470,plain,
% 8.14/8.33 (((~subset(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[469, 468])).
% 8.14/8.33 tff(471,plain,
% 8.14/8.33 (difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[470, 464])).
% 8.14/8.33 tff(472,plain,
% 8.14/8.33 (difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))) = difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.14/8.33 inference(symmetry,[status(thm)],[471])).
% 8.14/8.33 tff(473,assumption,(((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1))) <=> (D!1 = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))), introduced(assumption)).
% 8.14/8.33 tff(474,plain,
% 8.14/8.33 ((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1))) <=> (D!1 = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))))),
% 8.14/8.33 inference(quant_inst,[status(thm)],[])).
% 8.14/8.33 tff(475,plain,
% 8.14/8.33 ($false),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[474, 166, 473])).
% 8.14/8.33 tff(476,plain,(~(((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1))) <=> (D!1 = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.33 tff(477,assumption,(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), introduced(assumption)).
% 8.14/8.33 tff(478,plain,
% 8.14/8.33 (difference(D!1, difference(C!2, C!2)) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.14/8.33 inference(transitivity,[status(thm)],[171, 477])).
% 8.14/8.33 tff(479,plain,
% 8.14/8.33 (member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2))) <=> member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.33 inference(monotonicity,[status(thm)],[478])).
% 8.14/8.33 tff(480,plain,
% 8.14/8.33 (member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))) <=> member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2)))),
% 8.14/8.33 inference(symmetry,[status(thm)],[479])).
% 8.14/8.33 tff(481,assumption,(~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1))), introduced(assumption)).
% 8.14/8.33 tff(482,plain,
% 8.14/8.33 (((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.33 inference(tautology,[status(thm)],[])).
% 8.14/8.33 tff(483,plain,
% 8.14/8.33 (member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[482, 481])).
% 8.14/8.33 tff(484,plain,
% 8.14/8.33 (member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2)))),
% 8.14/8.33 inference(modus_ponens,[status(thm)],[483, 480])).
% 8.14/8.33 tff(485,plain,
% 8.14/8.33 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.33 inference(quant_inst,[status(thm)],[])).
% 8.14/8.33 tff(486,plain,
% 8.14/8.33 (~(((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2))))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[485, 34])).
% 8.14/8.33 tff(487,plain,
% 8.14/8.33 (((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | (~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1))),
% 8.14/8.33 inference(tautology,[status(thm)],[])).
% 8.14/8.33 tff(488,plain,
% 8.14/8.33 (~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[487, 481])).
% 8.14/8.33 tff(489,plain,
% 8.14/8.33 (((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(C!2, C!2))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)),
% 8.14/8.33 inference(tautology,[status(thm)],[])).
% 8.14/8.33 tff(490,plain,
% 8.14/8.33 ((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(C!2, C!2))),
% 8.14/8.33 inference(unit_resolution,[status(thm)],[489, 488])).
% 8.14/8.33 tff(491,plain,
% 8.14/8.33 ((((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2)))) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(C!2, C!2)))) | (~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2))))),
% 8.14/8.33 inference(tautology,[status(thm)],[])).
% 8.14/8.33 tff(492,plain,
% 8.14/8.33 ((((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(C!2, C!2))) <=> member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2)))) | (~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2))))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[491, 490])).
% 8.14/8.34 tff(493,plain,
% 8.14/8.34 (~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(D!1, difference(C!2, C!2)))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[492, 486])).
% 8.14/8.34 tff(494,plain,
% 8.14/8.34 ($false),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[493, 484])).
% 8.14/8.34 tff(495,plain,(((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)) | (~(difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))) = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.34 tff(496,plain,
% 8.14/8.34 ((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[495, 471])).
% 8.14/8.34 tff(497,assumption,((~((~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | ![D: $i] : ((~member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(D, D!1)))) | (~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)))))), introduced(assumption)).
% 8.14/8.34 tff(498,plain,
% 8.14/8.34 ((~![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(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | ![D: $i] : ((~member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(D, D!1)))) | (~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)))))))),
% 8.14/8.34 inference(quant_inst,[status(thm)],[])).
% 8.14/8.34 tff(499,plain,
% 8.14/8.34 ($false),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[498, 103, 497])).
% 8.14/8.34 tff(500,plain,(~((~((~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | ![D: $i] : ((~member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(D, D!1)))) | (~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1))))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.34 tff(501,plain,
% 8.14/8.34 (((~((~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)) | ![D: $i] : ((~member(D, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(D, D!1)))) | (~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)))))) | (subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1))))),
% 8.14/8.34 inference(tautology,[status(thm)],[])).
% 8.14/8.34 tff(502,plain,
% 8.14/8.34 (subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[501, 500])).
% 8.14/8.34 tff(503,plain,
% 8.14/8.34 ((~(subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1))))) | subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)))),
% 8.14/8.34 inference(tautology,[status(thm)],[])).
% 8.14/8.34 tff(504,plain,
% 8.14/8.34 (subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1) | (~((~member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | member(tptp_fun_D_0(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))), D!1)))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[503, 502])).
% 8.14/8.34 tff(505,plain,
% 8.14/8.34 (subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[504, 496])).
% 8.14/8.34 tff(506,plain,
% 8.14/8.34 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[394, 392])).
% 8.14/8.34 tff(507,plain,
% 8.14/8.34 ((~((~member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), D!1)) | member(tptp_fun_D_0(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1), difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))))) | subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[403, 506])).
% 8.14/8.34 tff(508,plain,
% 8.14/8.34 (subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[507, 383])).
% 8.14/8.34 tff(509,plain,
% 8.14/8.34 ((~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)))) | (~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1))),
% 8.14/8.34 inference(tautology,[status(thm)],[])).
% 8.14/8.34 tff(510,plain,
% 8.14/8.34 (~((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1)))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[509, 508, 505])).
% 8.14/8.34 tff(511,plain,
% 8.14/8.34 ((((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1))) <=> (D!1 = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | ((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1))) | (D!1 = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.34 inference(tautology,[status(thm)],[])).
% 8.14/8.34 tff(512,plain,
% 8.14/8.34 ((((~subset(D!1, difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (~subset(difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))), D!1))) <=> (D!1 = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))) | (D!1 = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3))))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[511, 510])).
% 8.14/8.34 tff(513,plain,
% 8.14/8.34 (D!1 = difference(difference(D!1, difference(C!2, C!2)), difference(D!1, difference(difference(D!1, difference(C!2, C!2)), B!3)))),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[512, 476])).
% 8.14/8.34 tff(514,plain,
% 8.14/8.34 (D!1 = difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.14/8.34 inference(transitivity,[status(thm)],[513, 472])).
% 8.14/8.34 tff(515,plain,
% 8.14/8.34 (difference(C!2, D!1) = difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.34 inference(monotonicity,[status(thm)],[514])).
% 8.14/8.34 tff(516,plain,
% 8.14/8.34 (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = difference(C!2, D!1)),
% 8.14/8.34 inference(symmetry,[status(thm)],[515])).
% 8.14/8.34 tff(517,assumption,(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3), introduced(assumption)).
% 8.14/8.34 tff(518,plain,
% 8.14/8.34 (B!3 = difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.34 inference(symmetry,[status(thm)],[517])).
% 8.14/8.34 tff(519,plain,
% 8.14/8.34 (B!3 = difference(C!2, D!1)),
% 8.14/8.34 inference(transitivity,[status(thm)],[518, 516])).
% 8.14/8.34 tff(520,plain,
% 8.14/8.34 (~(B!3 = difference(C!2, D!1))),
% 8.14/8.34 inference(and_elim,[status(thm)],[14])).
% 8.14/8.34 tff(521,plain,
% 8.14/8.34 ($false),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[520, 519])).
% 8.14/8.34 tff(522,plain,(~(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)), inference(lemma,lemma(discharge,[]))).
% 8.14/8.34 tff(523,assumption,(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)), introduced(assumption)).
% 8.14/8.34 tff(524,plain,
% 8.14/8.34 (((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)))) <=> ((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3))))),
% 8.14/8.34 inference(rewrite,[status(thm)],[])).
% 8.14/8.34 tff(525,plain,
% 8.14/8.34 ((~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3))) <=> (~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)))),
% 8.14/8.34 inference(rewrite,[status(thm)],[])).
% 8.14/8.34 tff(526,plain,
% 8.14/8.34 ((((~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)) <=> (((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3))),
% 8.14/8.34 inference(rewrite,[status(thm)],[])).
% 8.14/8.34 tff(527,plain,
% 8.14/8.34 ((~(((~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3))) <=> (~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)))),
% 8.14/8.34 inference(monotonicity,[status(thm)],[526])).
% 8.14/8.34 tff(528,plain,
% 8.14/8.34 ((~(((~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3))) <=> (~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)))),
% 8.14/8.34 inference(transitivity,[status(thm)],[527, 525])).
% 8.14/8.34 tff(529,plain,
% 8.14/8.34 (((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)))) <=> ((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3))))),
% 8.14/8.34 inference(monotonicity,[status(thm)],[528])).
% 8.14/8.34 tff(530,plain,
% 8.14/8.34 (((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)))) <=> ((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3))))),
% 8.14/8.34 inference(transitivity,[status(thm)],[529, 524])).
% 8.14/8.34 tff(531,plain,
% 8.14/8.34 ((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)))),
% 8.14/8.34 inference(quant_inst,[status(thm)],[])).
% 8.14/8.34 tff(532,plain,
% 8.14/8.34 ((~![B: $i, C: $i] : (~(((~subset(B, C)) | (~subset(C, B))) <=> (B = C)))) | (~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)))),
% 8.14/8.34 inference(modus_ponens,[status(thm)],[531, 530])).
% 8.14/8.34 tff(533,plain,
% 8.14/8.34 ($false),
% 8.14/8.34 inference(unit_resolution,[status(thm)],[532, 166, 523])).
% 8.14/8.35 tff(534,plain,(~(((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.35 tff(535,plain,
% 8.14/8.35 ((((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) <=> (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)) | ((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) | (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(536,plain,
% 8.14/8.35 (((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))) | (difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) = B!3)),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[535, 534])).
% 8.14/8.35 tff(537,plain,
% 8.14/8.35 ((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[536, 522])).
% 8.14/8.35 tff(538,assumption,(~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))), introduced(assumption)).
% 8.14/8.35 tff(539,plain,
% 8.14/8.35 (((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)) | (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(540,plain,
% 8.14/8.35 (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[539, 538])).
% 8.14/8.35 tff(541,assumption,(member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))), introduced(assumption)).
% 8.14/8.35 tff(542,assumption,(~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)), introduced(assumption)).
% 8.14/8.35 tff(543,plain,
% 8.14/8.35 (((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | ((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))) <=> ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))),
% 8.14/8.35 inference(rewrite,[status(thm)],[])).
% 8.14/8.35 tff(544,plain,
% 8.14/8.35 ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | ((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))),
% 8.14/8.35 inference(quant_inst,[status(thm)],[])).
% 8.14/8.35 tff(545,plain,
% 8.14/8.35 ((~![D: $i] : ((~member(D, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(D, B!3))) | (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)),
% 8.14/8.35 inference(modus_ponens,[status(thm)],[544, 543])).
% 8.14/8.35 tff(546,plain,
% 8.14/8.35 ($false),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[545, 249, 542, 541])).
% 8.14/8.35 tff(547,plain,((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)), inference(lemma,lemma(discharge,[]))).
% 8.14/8.35 tff(548,plain,
% 8.14/8.35 (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[547, 540])).
% 8.14/8.35 tff(549,assumption,(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)), introduced(assumption)).
% 8.14/8.35 tff(550,plain,
% 8.14/8.35 ((~![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))) | (~(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)))),
% 8.14/8.35 inference(quant_inst,[status(thm)],[])).
% 8.14/8.35 tff(551,plain,
% 8.14/8.35 ($false),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[550, 17, 549])).
% 8.14/8.35 tff(552,plain,(~(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.35 tff(553,plain,
% 8.14/8.35 ((((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)) | ((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(554,plain,
% 8.14/8.35 (((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[553, 552])).
% 8.14/8.35 tff(555,plain,
% 8.14/8.35 ((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[554, 540])).
% 8.14/8.35 tff(556,plain,
% 8.14/8.35 (((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(557,plain,
% 8.14/8.35 (member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[556, 538])).
% 8.14/8.35 tff(558,assumption,(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), introduced(assumption)).
% 8.14/8.35 tff(559,plain,
% 8.14/8.35 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))),
% 8.14/8.35 inference(quant_inst,[status(thm)],[])).
% 8.14/8.35 tff(560,plain,
% 8.14/8.35 ($false),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[559, 34, 558])).
% 8.14/8.35 tff(561,plain,(~(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.35 tff(562,plain,
% 8.14/8.35 ((((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(563,plain,
% 8.14/8.35 ((~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[562, 561])).
% 8.14/8.35 tff(564,plain,
% 8.14/8.35 (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[563, 557])).
% 8.14/8.35 tff(565,plain,
% 8.14/8.35 (((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(566,plain,
% 8.14/8.35 (member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[565, 564])).
% 8.14/8.35 tff(567,plain,
% 8.14/8.35 ((~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1))) | (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(568,plain,
% 8.14/8.35 (member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[567, 566, 555])).
% 8.14/8.35 tff(569,plain,
% 8.14/8.35 (((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), C!2)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(570,plain,
% 8.14/8.35 (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[569, 564])).
% 8.14/8.35 tff(571,assumption,(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), introduced(assumption)).
% 8.14/8.35 tff(572,plain,
% 8.14/8.35 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.14/8.35 inference(quant_inst,[status(thm)],[])).
% 8.14/8.35 tff(573,plain,
% 8.14/8.35 ($false),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[572, 34, 571])).
% 8.14/8.35 tff(574,plain,(~(((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.35 tff(575,plain,
% 8.14/8.35 ((((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | ((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(576,plain,
% 8.14/8.35 (((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[575, 574])).
% 8.14/8.35 tff(577,plain,
% 8.14/8.35 ((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[576, 570])).
% 8.14/8.35 tff(578,plain,
% 8.14/8.35 ((~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), D!1)) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(D!1, difference(D!1, difference(C!2, C!2))))),
% 8.14/8.35 inference(tautology,[status(thm)],[])).
% 8.14/8.35 tff(579,plain,
% 8.14/8.35 ($false),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[578, 577, 568, 548])).
% 8.14/8.35 tff(580,plain,((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)), inference(lemma,lemma(discharge,[]))).
% 8.14/8.35 tff(581,plain,
% 8.14/8.35 ((~![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(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | ![D: $i] : ((~member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(D, B!3)))) | (~(subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)))))))),
% 8.14/8.35 inference(quant_inst,[status(thm)],[])).
% 8.14/8.35 tff(582,plain,
% 8.14/8.35 (~((~((~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | ![D: $i] : ((~member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(D, B!3)))) | (~(subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))))))),
% 8.14/8.35 inference(unit_resolution,[status(thm)],[581, 103])).
% 8.14/8.35 tff(583,plain,
% 8.14/8.35 (((~((~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)) | ![D: $i] : ((~member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(D, B!3)))) | (~(subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)))))) | (subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))))),
% 8.14/8.36 inference(tautology,[status(thm)],[])).
% 8.14/8.36 tff(584,plain,
% 8.14/8.36 (subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)))),
% 8.14/8.36 inference(unit_resolution,[status(thm)],[583, 582])).
% 8.14/8.36 tff(585,plain,
% 8.14/8.36 ((~(subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3))))) | subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)))),
% 8.14/8.36 inference(tautology,[status(thm)],[])).
% 8.14/8.36 tff(586,plain,
% 8.14/8.36 (subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3) | (~((~member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), B!3)))),
% 8.14/8.36 inference(unit_resolution,[status(thm)],[585, 584])).
% 8.14/8.36 tff(587,plain,
% 8.14/8.36 (subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)),
% 8.14/8.36 inference(unit_resolution,[status(thm)],[586, 580])).
% 8.14/8.36 tff(588,plain,
% 8.14/8.36 ((~((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)))) | (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3))),
% 8.14/8.36 inference(tautology,[status(thm)],[])).
% 8.14/8.36 tff(589,plain,
% 8.14/8.36 ((~((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~subset(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3)))) | (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.14/8.36 inference(unit_resolution,[status(thm)],[588, 587])).
% 8.14/8.36 tff(590,plain,
% 8.14/8.36 (~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.14/8.36 inference(unit_resolution,[status(thm)],[589, 537])).
% 8.14/8.36 tff(591,assumption,((~((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))), introduced(assumption)).
% 8.14/8.36 tff(592,plain,
% 8.14/8.36 (((~![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(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!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(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))))),
% 8.14/8.36 inference(rewrite,[status(thm)],[])).
% 8.14/8.36 tff(593,plain,
% 8.14/8.36 ((~((~((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~(subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))))) <=> (~((~((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))))),
% 8.14/8.36 inference(rewrite,[status(thm)],[])).
% 8.14/8.36 tff(594,plain,
% 8.14/8.36 (((~![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(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~(subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!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(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))))),
% 8.14/8.36 inference(monotonicity,[status(thm)],[593])).
% 8.14/8.36 tff(595,plain,
% 8.14/8.36 (((~![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(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~(subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!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(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))))),
% 8.14/8.36 inference(transitivity,[status(thm)],[594, 592])).
% 8.14/8.36 tff(596,plain,
% 8.14/8.36 ((~![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(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~(subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))))))),
% 8.14/8.36 inference(quant_inst,[status(thm)],[])).
% 8.14/8.36 tff(597,plain,
% 8.14/8.36 ((~![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(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))))),
% 8.14/8.36 inference(modus_ponens,[status(thm)],[596, 595])).
% 8.14/8.36 tff(598,plain,
% 8.14/8.36 ($false),
% 8.14/8.36 inference(unit_resolution,[status(thm)],[597, 103, 591])).
% 8.14/8.36 tff(599,plain,(~((~((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))))), inference(lemma,lemma(discharge,[]))).
% 8.14/8.36 tff(600,plain,
% 8.14/8.36 (((~((~subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ![D: $i] : ((~member(D, B!3)) | member(D, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | (~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))) | ((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.14/8.36 inference(tautology,[status(thm)],[])).
% 8.14/8.36 tff(601,plain,
% 8.14/8.36 ((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.14/8.36 inference(unit_resolution,[status(thm)],[600, 599])).
% 8.14/8.36 tff(602,plain,
% 8.14/8.36 ((~((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.21/8.36 inference(tautology,[status(thm)],[])).
% 8.21/8.36 tff(603,plain,
% 8.21/8.36 ((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))) | subset(B!3, difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[602, 601])).
% 8.21/8.36 tff(604,plain,
% 8.21/8.36 (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[603, 590])).
% 8.21/8.36 tff(605,plain,
% 8.21/8.36 (((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)),
% 8.21/8.36 inference(tautology,[status(thm)],[])).
% 8.21/8.36 tff(606,plain,
% 8.21/8.36 (member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[605, 604])).
% 8.21/8.36 tff(607,plain,
% 8.21/8.36 (((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.21/8.36 inference(tautology,[status(thm)],[])).
% 8.21/8.36 tff(608,plain,
% 8.21/8.36 (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[607, 604])).
% 8.21/8.36 tff(609,assumption,(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), introduced(assumption)).
% 8.21/8.36 tff(610,plain,
% 8.21/8.36 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))))),
% 8.21/8.36 inference(quant_inst,[status(thm)],[])).
% 8.21/8.36 tff(611,plain,
% 8.21/8.36 ($false),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[610, 34, 609])).
% 8.21/8.36 tff(612,plain,(~(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))), inference(lemma,lemma(discharge,[]))).
% 8.21/8.36 tff(613,assumption,(member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)), introduced(assumption)).
% 8.21/8.36 tff(614,assumption,(~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2))), introduced(assumption)).
% 8.21/8.36 tff(615,plain,
% 8.21/8.36 (((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)) | (~member(tptp_fun_D_0(C!2, B!3), C!2))),
% 8.21/8.36 inference(tautology,[status(thm)],[])).
% 8.21/8.36 tff(616,plain,
% 8.21/8.36 (~member(tptp_fun_D_0(C!2, B!3), C!2)),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[615, 614])).
% 8.21/8.36 tff(617,plain,
% 8.21/8.36 (((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), B!3)),
% 8.21/8.36 inference(tautology,[status(thm)],[])).
% 8.21/8.36 tff(618,plain,
% 8.21/8.36 (member(tptp_fun_D_0(C!2, B!3), B!3)),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[617, 614])).
% 8.21/8.36 tff(619,assumption,(((~member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), D!1)) <=> member(tptp_fun_D_0(C!2, B!3), B!3)), introduced(assumption)).
% 8.21/8.36 tff(620,plain,
% 8.21/8.36 ((~![E: $i] : (~(((~member(E, C!2)) | member(E, D!1)) <=> member(E, B!3)))) | (~(((~member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), D!1)) <=> member(tptp_fun_D_0(C!2, B!3), B!3)))),
% 8.21/8.36 inference(quant_inst,[status(thm)],[])).
% 8.21/8.36 tff(621,plain,
% 8.21/8.36 ($false),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[620, 17, 619])).
% 8.21/8.36 tff(622,plain,(~(((~member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), D!1)) <=> member(tptp_fun_D_0(C!2, B!3), B!3))), inference(lemma,lemma(discharge,[]))).
% 8.21/8.36 tff(623,plain,
% 8.21/8.36 ((((~member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), D!1)) <=> member(tptp_fun_D_0(C!2, B!3), B!3)) | (~((~member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), D!1))) | (~member(tptp_fun_D_0(C!2, B!3), B!3))),
% 8.21/8.36 inference(tautology,[status(thm)],[])).
% 8.21/8.36 tff(624,plain,
% 8.21/8.36 ((~((~member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), D!1))) | (~member(tptp_fun_D_0(C!2, B!3), B!3))),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[623, 622])).
% 8.21/8.36 tff(625,plain,
% 8.21/8.36 (~((~member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), D!1))),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[624, 618])).
% 8.21/8.36 tff(626,plain,
% 8.21/8.36 (((~member(tptp_fun_D_0(C!2, B!3), C!2)) | member(tptp_fun_D_0(C!2, B!3), D!1)) | member(tptp_fun_D_0(C!2, B!3), C!2)),
% 8.21/8.36 inference(tautology,[status(thm)],[])).
% 8.21/8.36 tff(627,plain,
% 8.21/8.36 ($false),
% 8.21/8.36 inference(unit_resolution,[status(thm)],[626, 625, 616])).
% 8.21/8.36 tff(628,plain,((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)), inference(lemma,lemma(discharge,[]))).
% 8.21/8.36 tff(629,plain,
% 8.21/8.36 ((~![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(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2)))) | (~(subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)))))))),
% 8.21/8.37 inference(quant_inst,[status(thm)],[])).
% 8.21/8.37 tff(630,plain,
% 8.21/8.37 (~((~((~subset(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2)))) | (~(subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2))))))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[629, 103])).
% 8.21/8.37 tff(631,plain,
% 8.21/8.37 (((~((~subset(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2)))) | (~(subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)))))) | (subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2))))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(632,plain,
% 8.21/8.37 (subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[631, 630])).
% 8.21/8.37 tff(633,plain,
% 8.21/8.37 ((~(subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2))))) | subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(634,plain,
% 8.21/8.37 (subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[633, 632])).
% 8.21/8.37 tff(635,plain,
% 8.21/8.37 (subset(B!3, C!2)),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[634, 628])).
% 8.21/8.37 tff(636,plain,
% 8.21/8.37 (((~((~subset(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2)))) | (~(subset(B!3, C!2) | (~((~member(tptp_fun_D_0(C!2, B!3), B!3)) | member(tptp_fun_D_0(C!2, B!3), C!2)))))) | ((~subset(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2)))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(637,plain,
% 8.21/8.37 ((~subset(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[636, 630])).
% 8.21/8.37 tff(638,plain,
% 8.21/8.37 ((~((~subset(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2)))) | (~subset(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(639,plain,
% 8.21/8.37 ((~subset(B!3, C!2)) | ![D: $i] : ((~member(D, B!3)) | member(D, C!2))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[638, 637])).
% 8.21/8.37 tff(640,plain,
% 8.21/8.37 (![D: $i] : ((~member(D, B!3)) | member(D, C!2))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[639, 635])).
% 8.21/8.37 tff(641,plain,
% 8.21/8.37 (((~![D: $i] : ((~member(D, B!3)) | member(D, C!2))) | ((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2))) <=> ((~![D: $i] : ((~member(D, B!3)) | member(D, C!2))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2))),
% 8.21/8.37 inference(rewrite,[status(thm)],[])).
% 8.21/8.37 tff(642,plain,
% 8.21/8.37 ((~![D: $i] : ((~member(D, B!3)) | member(D, C!2))) | ((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2))),
% 8.21/8.37 inference(quant_inst,[status(thm)],[])).
% 8.21/8.37 tff(643,plain,
% 8.21/8.37 ((~![D: $i] : ((~member(D, B!3)) | member(D, C!2))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)),
% 8.21/8.37 inference(modus_ponens,[status(thm)],[642, 641])).
% 8.21/8.37 tff(644,plain,
% 8.21/8.37 (member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[643, 640, 613])).
% 8.21/8.37 tff(645,assumption,(~(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))), introduced(assumption)).
% 8.21/8.37 tff(646,assumption,(~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), introduced(assumption)).
% 8.21/8.37 tff(647,plain,
% 8.21/8.37 ((((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(648,plain,
% 8.21/8.37 ((((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | ((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[647, 646])).
% 8.21/8.37 tff(649,plain,
% 8.21/8.37 ((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[648, 645])).
% 8.21/8.37 tff(650,assumption,(~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), introduced(assumption)).
% 8.21/8.37 tff(651,plain,
% 8.21/8.37 ((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(652,plain,
% 8.21/8.37 ((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[651, 650])).
% 8.21/8.37 tff(653,plain,
% 8.21/8.37 ($false),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[652, 649, 644])).
% 8.21/8.37 tff(654,plain,((((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3))), inference(lemma,lemma(discharge,[]))).
% 8.21/8.37 tff(655,plain,
% 8.21/8.37 (member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[654, 612])).
% 8.21/8.37 tff(656,plain,
% 8.21/8.37 (member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[655, 608, 606])).
% 8.21/8.37 tff(657,assumption,(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))), introduced(assumption)).
% 8.21/8.37 tff(658,plain,
% 8.21/8.37 ((~![B: $i, C: $i, D: $i] : (~(((~member(D, B)) | member(D, C)) <=> member(D, difference(B, C))))) | (~(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))))),
% 8.21/8.37 inference(quant_inst,[status(thm)],[])).
% 8.21/8.37 tff(659,plain,
% 8.21/8.37 ($false),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[658, 34, 657])).
% 8.21/8.37 tff(660,plain,(~(((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))), inference(lemma,lemma(discharge,[]))).
% 8.21/8.37 tff(661,plain,
% 8.21/8.37 ((((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(C!2, C!2))))) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(662,plain,
% 8.21/8.37 ((~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(C!2, C!2)))))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[661, 660])).
% 8.21/8.37 tff(663,plain,
% 8.21/8.37 (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(C!2, C!2)))))),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[662, 656])).
% 8.21/8.37 tff(664,plain,
% 8.21/8.37 (((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), difference(D!1, difference(D!1, difference(C!2, C!2))))) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(665,plain,
% 8.21/8.37 (member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[664, 663])).
% 8.21/8.37 tff(666,plain,
% 8.21/8.37 (((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(667,plain,
% 8.21/8.37 ((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[666, 665])).
% 8.21/8.37 tff(668,plain,
% 8.21/8.37 ((((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)) | (~((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1))) | (~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3))),
% 8.21/8.37 inference(tautology,[status(thm)],[])).
% 8.21/8.37 tff(669,plain,
% 8.21/8.37 (((~member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), C!2)) | member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), D!1)) <=> member(tptp_fun_D_0(difference(C!2, difference(D!1, difference(D!1, difference(D!1, difference(C!2, C!2))))), B!3), B!3)),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[668, 606, 667])).
% 8.21/8.37 tff(670,plain,
% 8.21/8.37 ($false),
% 8.21/8.37 inference(unit_resolution,[status(thm)],[669, 20])).
% 8.21/8.37 % SZS output end Proof
% 8.21/8.38 % E exiting
%------------------------------------------------------------------------------