TSTP Solution File: SET701+4 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SET701+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 : Tue Sep 20 05:07:40 EDT 2022
% Result : Theorem 12.39s 7.96s
% Output : Proof 12.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET701+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Sep 3 07:33:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 12.39/7.96 % SZS status Theorem
% 12.39/7.96 % SZS output start Proof
% 12.39/7.96 tff(member_type, type, (
% 12.39/7.96 member: ( $i * $i ) > $o)).
% 12.39/7.96 tff(tptp_fun_C_4_type, type, (
% 12.39/7.96 tptp_fun_C_4: $i)).
% 12.39/7.96 tff(tptp_fun_X_0_type, type, (
% 12.39/7.96 tptp_fun_X_0: ( $i * $i ) > $i)).
% 12.39/7.96 tff(tptp_fun_A_6_type, type, (
% 12.39/7.96 tptp_fun_A_6: $i)).
% 12.39/7.96 tff(tptp_fun_B_5_type, type, (
% 12.39/7.96 tptp_fun_B_5: $i)).
% 12.39/7.96 tff(tptp_fun_E_3_type, type, (
% 12.39/7.96 tptp_fun_E_3: $i)).
% 12.39/7.96 tff(difference_type, type, (
% 12.39/7.96 difference: ( $i * $i ) > $i)).
% 12.39/7.96 tff(intersection_type, type, (
% 12.39/7.96 intersection: ( $i * $i ) > $i)).
% 12.39/7.96 tff(subset_type, type, (
% 12.39/7.96 subset: ( $i * $i ) > $o)).
% 12.39/7.96 tff(1,plain,
% 12.39/7.96 (^[X: $i, A: $i, B: $i] : refl((member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B))))) <=> (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B))))))),
% 12.39/7.96 inference(bind,[status(th)],[])).
% 12.39/7.96 tff(2,plain,
% 12.39/7.96 (![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B))))) <=> ![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B)))))),
% 12.39/7.96 inference(quant_intro,[status(thm)],[1])).
% 12.39/7.96 tff(3,plain,
% 12.39/7.96 (^[X: $i, A: $i, B: $i] : rewrite((member(X, intersection(A, B)) <=> (member(X, A) & member(X, B))) <=> (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B))))))),
% 12.39/7.96 inference(bind,[status(th)],[])).
% 12.39/7.96 tff(4,plain,
% 12.39/7.96 (![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (member(X, A) & member(X, B))) <=> ![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B)))))),
% 12.39/7.96 inference(quant_intro,[status(thm)],[3])).
% 12.39/7.96 tff(5,plain,
% 12.39/7.96 (![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (member(X, A) & member(X, B))) <=> ![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (member(X, A) & member(X, B)))),
% 12.39/7.96 inference(rewrite,[status(thm)],[])).
% 12.39/7.96 tff(6,axiom,(![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (member(X, A) & member(X, B)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax','intersection')).
% 12.39/7.96 tff(7,plain,
% 12.39/7.96 (![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (member(X, A) & member(X, B)))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[6, 5])).
% 12.39/7.96 tff(8,plain,(
% 12.39/7.96 ![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (member(X, A) & member(X, B)))),
% 12.39/7.96 inference(skolemize,[status(sab)],[7])).
% 12.39/7.96 tff(9,plain,
% 12.39/7.96 (![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B)))))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[8, 4])).
% 12.39/7.96 tff(10,plain,
% 12.39/7.96 (![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B)))))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[9, 2])).
% 12.39/7.96 tff(11,plain,
% 12.39/7.96 ((~![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B)))))) | (member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4))))))),
% 12.39/7.96 inference(quant_inst,[status(thm)],[])).
% 12.39/7.96 tff(12,plain,
% 12.39/7.96 (member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4)))))),
% 12.39/7.96 inference(unit_resolution,[status(thm)],[11, 10])).
% 12.39/7.96 tff(13,assumption,(~member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4)))), introduced(assumption)).
% 12.39/7.96 tff(14,assumption,(~(member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))))))), introduced(assumption)).
% 12.39/7.96 tff(15,plain,
% 12.39/7.96 ((~![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B)))))) | (member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))))))),
% 12.39/7.96 inference(quant_inst,[status(thm)],[])).
% 12.39/7.96 tff(16,plain,
% 12.39/7.96 ($false),
% 12.39/7.96 inference(unit_resolution,[status(thm)],[15, 10, 14])).
% 12.39/7.96 tff(17,plain,(member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5)))))), inference(lemma,lemma(discharge,[]))).
% 12.39/7.96 tff(18,assumption,(~(member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5))))), introduced(assumption)).
% 12.39/7.96 tff(19,plain,
% 12.39/7.96 (^[B: $i, A: $i, E: $i] : refl((member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A)))) <=> (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A)))))),
% 12.39/7.96 inference(bind,[status(th)],[])).
% 12.39/7.96 tff(20,plain,
% 12.39/7.96 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A)))) <=> ![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))),
% 12.39/7.96 inference(quant_intro,[status(thm)],[19])).
% 12.39/7.96 tff(21,plain,
% 12.39/7.96 (^[B: $i, A: $i, E: $i] : rewrite((member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A)))) <=> (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A)))))),
% 12.39/7.96 inference(bind,[status(th)],[])).
% 12.39/7.96 tff(22,plain,
% 12.39/7.96 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A)))) <=> ![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))),
% 12.39/7.96 inference(quant_intro,[status(thm)],[21])).
% 12.39/7.96 tff(23,plain,
% 12.39/7.96 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A)))) <=> ![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A))))),
% 12.39/7.96 inference(rewrite,[status(thm)],[])).
% 12.39/7.96 tff(24,axiom,(![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A))))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax','difference')).
% 12.39/7.96 tff(25,plain,
% 12.39/7.96 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A))))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[24, 23])).
% 12.39/7.96 tff(26,plain,(
% 12.39/7.96 ![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A))))),
% 12.39/7.96 inference(skolemize,[status(sab)],[25])).
% 12.39/7.96 tff(27,plain,
% 12.39/7.96 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[26, 22])).
% 12.39/7.96 tff(28,plain,
% 12.39/7.96 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[27, 20])).
% 12.39/7.96 tff(29,plain,
% 12.39/7.96 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5))))),
% 12.39/7.96 inference(quant_inst,[status(thm)],[])).
% 12.39/7.96 tff(30,plain,
% 12.39/7.96 ($false),
% 12.39/7.96 inference(unit_resolution,[status(thm)],[29, 28, 18])).
% 12.39/7.96 tff(31,plain,(member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5)))), inference(lemma,lemma(discharge,[]))).
% 12.39/7.96 tff(32,plain,
% 12.39/7.96 ((~![X: $i, A: $i, B: $i] : (member(X, intersection(A, B)) <=> (~((~member(X, A)) | (~member(X, B)))))) | (member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5))))))),
% 12.39/7.96 inference(quant_inst,[status(thm)],[])).
% 12.39/7.96 tff(33,plain,
% 12.39/7.96 (member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)))))),
% 12.39/7.96 inference(unit_resolution,[status(thm)],[32, 10])).
% 12.39/7.96 tff(34,assumption,(~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))), introduced(assumption)).
% 12.39/7.96 tff(35,plain,
% 12.39/7.96 (^[A: $i, B: $i] : refl((~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))))) <=> (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))))))),
% 12.39/7.96 inference(bind,[status(th)],[])).
% 12.39/7.96 tff(36,plain,
% 12.39/7.96 (![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))))) <=> ![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))),
% 12.39/7.96 inference(quant_intro,[status(thm)],[35])).
% 12.39/7.96 tff(37,plain,
% 12.39/7.96 (^[A: $i, B: $i] : rewrite((~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))))) <=> (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))))))),
% 12.39/7.96 inference(bind,[status(th)],[])).
% 12.39/7.96 tff(38,plain,
% 12.39/7.96 (![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))))) <=> ![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))),
% 12.39/7.96 inference(quant_intro,[status(thm)],[37])).
% 12.39/7.96 tff(39,plain,
% 12.39/7.96 (![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))))) <=> ![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))),
% 12.39/7.96 inference(transitivity,[status(thm)],[38, 36])).
% 12.39/7.96 tff(40,plain,
% 12.39/7.96 (^[A: $i, B: $i] : trans(monotonicity(rewrite(((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B))) <=> ((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))), rewrite((subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))) <=> (subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))), ((((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B))) & (subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))) <=> (((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B))) & (subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))))), rewrite((((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B))) & (subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))) <=> (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))), ((((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B))) & (subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))) <=> (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))))),
% 12.39/7.96 inference(bind,[status(th)],[])).
% 12.39/7.96 tff(41,plain,
% 12.39/7.96 (![A: $i, B: $i] : (((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B))) & (subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B))))) <=> ![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))),
% 12.39/7.96 inference(quant_intro,[status(thm)],[40])).
% 12.39/7.96 tff(42,plain,
% 12.39/7.96 (![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : ((~member(X, A)) | member(X, B))) <=> ![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : ((~member(X, A)) | member(X, B)))),
% 12.39/7.96 inference(rewrite,[status(thm)],[])).
% 12.39/7.96 tff(43,plain,
% 12.39/7.96 (^[A: $i, B: $i] : rewrite((subset(A, B) <=> ![X: $i] : (member(X, A) => member(X, B))) <=> (subset(A, B) <=> ![X: $i] : ((~member(X, A)) | member(X, B))))),
% 12.39/7.96 inference(bind,[status(th)],[])).
% 12.39/7.96 tff(44,plain,
% 12.39/7.96 (![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : (member(X, A) => member(X, B))) <=> ![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : ((~member(X, A)) | member(X, B)))),
% 12.39/7.96 inference(quant_intro,[status(thm)],[43])).
% 12.39/7.96 tff(45,axiom,(![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : (member(X, A) => member(X, B)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax','subset')).
% 12.39/7.96 tff(46,plain,
% 12.39/7.96 (![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : ((~member(X, A)) | member(X, B)))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[45, 44])).
% 12.39/7.96 tff(47,plain,
% 12.39/7.96 (![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : ((~member(X, A)) | member(X, B)))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[46, 42])).
% 12.39/7.96 tff(48,plain,(
% 12.39/7.96 ![A: $i, B: $i] : (((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B))) & (subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))),
% 12.39/7.96 inference(skolemize,[status(sab)],[47])).
% 12.39/7.96 tff(49,plain,
% 12.39/7.96 (![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[48, 41])).
% 12.39/7.96 tff(50,plain,
% 12.39/7.96 (![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))),
% 12.39/7.96 inference(modus_ponens,[status(thm)],[49, 39])).
% 12.39/7.96 tff(51,plain,
% 12.39/7.96 ((~![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))) | (~((~((~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4)))))) | (~(subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4)))))))))),
% 12.39/7.97 inference(quant_inst,[status(thm)],[])).
% 12.39/7.97 tff(52,plain,
% 12.39/7.97 (~((~((~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4)))))) | (~(subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4))))))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[51, 50])).
% 12.39/7.97 tff(53,plain,
% 12.39/7.97 (((~((~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4)))))) | (~(subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4)))))))) | (subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4))))))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(54,plain,
% 12.39/7.97 (subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4)))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[53, 52])).
% 12.39/7.97 tff(55,plain,
% 12.39/7.97 ((~(subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4))))))) | subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4)))))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(56,plain,
% 12.39/7.97 (subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4)))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[55, 54])).
% 12.39/7.97 tff(57,plain,
% 12.39/7.97 (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[56, 34])).
% 12.39/7.97 tff(58,plain,
% 12.39/7.97 (((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(59,plain,
% 12.39/7.97 (member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[58, 57])).
% 12.39/7.97 tff(60,plain,
% 12.39/7.97 ((~(member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5))))))) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)))))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(61,plain,
% 12.39/7.97 ((~(member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5))))))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[60, 59])).
% 12.39/7.97 tff(62,plain,
% 12.39/7.97 (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[61, 33])).
% 12.39/7.97 tff(63,plain,
% 12.39/7.97 (((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(64,plain,
% 12.39/7.97 (member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[63, 62])).
% 12.39/7.97 tff(65,plain,
% 12.39/7.97 ((~(subset(A!6, B!5) <=> subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))))) <=> ((~subset(A!6, B!5)) <=> subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.97 inference(rewrite,[status(thm)],[])).
% 12.39/7.97 tff(66,plain,
% 12.39/7.97 ((~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))) <=> (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C))))))),
% 12.39/7.97 inference(rewrite,[status(thm)],[])).
% 12.39/7.97 tff(67,plain,
% 12.39/7.97 ((~![A: $i, B: $i, C: $i, E: $i] : ((subset(A, E) & subset(B, E)) => (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))) <=> (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C))))))),
% 12.39/7.97 inference(rewrite,[status(thm)],[])).
% 12.39/7.97 tff(68,axiom,(~![A: $i, B: $i, C: $i, E: $i] : ((subset(A, E) & subset(B, E)) => (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thI35')).
% 12.39/7.97 tff(69,plain,
% 12.39/7.97 (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[68, 67])).
% 12.39/7.97 tff(70,plain,
% 12.39/7.97 (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[69, 66])).
% 12.39/7.97 tff(71,plain,
% 12.39/7.97 (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[70, 66])).
% 12.39/7.97 tff(72,plain,
% 12.39/7.97 (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[71, 66])).
% 12.39/7.97 tff(73,plain,
% 12.39/7.97 (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[72, 66])).
% 12.39/7.97 tff(74,plain,
% 12.39/7.97 (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[73, 66])).
% 12.39/7.97 tff(75,plain,
% 12.39/7.97 (~![A: $i, B: $i, C: $i, E: $i] : ((~(subset(A, E) & subset(B, E))) | (subset(A, B) <=> subset(intersection(A, difference(E, B)), intersection(C, difference(E, C)))))),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[74, 66])).
% 12.39/7.97 tff(76,plain,(
% 12.39/7.97 ~((~(subset(A!6, E!3) & subset(B!5, E!3))) | (subset(A!6, B!5) <=> subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))))),
% 12.39/7.97 inference(skolemize,[status(sab)],[75])).
% 12.39/7.97 tff(77,plain,
% 12.39/7.97 (~(subset(A!6, B!5) <=> subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.97 inference(or_elim,[status(thm)],[76])).
% 12.39/7.97 tff(78,plain,
% 12.39/7.97 ((~subset(A!6, B!5)) <=> subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[77, 65])).
% 12.39/7.97 tff(79,plain,
% 12.39/7.97 (subset(A!6, B!5) | subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~subset(A!6, B!5)) <=> subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(80,plain,
% 12.39/7.97 (subset(A!6, B!5) | subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[79, 78])).
% 12.39/7.97 tff(81,plain,
% 12.39/7.97 (subset(A!6, B!5)),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[80, 34])).
% 12.39/7.97 tff(82,plain,
% 12.39/7.97 ((~![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))) | (~((~((~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5)))) | (~(subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5)))))))),
% 12.39/7.97 inference(quant_inst,[status(thm)],[])).
% 12.39/7.97 tff(83,plain,
% 12.39/7.97 (~((~((~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5)))) | (~(subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5))))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[82, 50])).
% 12.39/7.97 tff(84,plain,
% 12.39/7.97 (((~((~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5)))) | (~(subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5)))))) | ((~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5)))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(85,plain,
% 12.39/7.97 ((~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[84, 83])).
% 12.39/7.97 tff(86,plain,
% 12.39/7.97 ((~((~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5)))) | (~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(87,plain,
% 12.39/7.97 ((~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[86, 85])).
% 12.39/7.97 tff(88,plain,
% 12.39/7.97 (![X: $i] : ((~member(X, A!6)) | member(X, B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[87, 81])).
% 12.39/7.97 tff(89,plain,
% 12.39/7.97 (((~![X: $i] : ((~member(X, A!6)) | member(X, B!5))) | ((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5))) <=> ((~![X: $i] : ((~member(X, A!6)) | member(X, B!5))) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5))),
% 12.39/7.97 inference(rewrite,[status(thm)],[])).
% 12.39/7.97 tff(90,plain,
% 12.39/7.97 ((~![X: $i] : ((~member(X, A!6)) | member(X, B!5))) | ((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5))),
% 12.39/7.97 inference(quant_inst,[status(thm)],[])).
% 12.39/7.97 tff(91,plain,
% 12.39/7.97 ((~![X: $i] : ((~member(X, A!6)) | member(X, B!5))) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5)),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[90, 89])).
% 12.39/7.97 tff(92,plain,
% 12.39/7.97 (member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5)),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[91, 88, 64])).
% 12.39/7.97 tff(93,plain,
% 12.39/7.97 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), E!3)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5))))),
% 12.39/7.97 inference(quant_inst,[status(thm)],[])).
% 12.39/7.97 tff(94,plain,
% 12.39/7.97 (member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), E!3)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5)))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[93, 28])).
% 12.39/7.97 tff(95,plain,
% 12.39/7.97 (((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), A!6)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(96,plain,
% 12.39/7.97 (member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[95, 62])).
% 12.39/7.97 tff(97,plain,
% 12.39/7.97 ((~(member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), E!3)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5))))) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), E!3)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5)))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(98,plain,
% 12.39/7.97 ((~(member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), E!3)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5))))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), E!3)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5)))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[97, 96])).
% 12.39/7.97 tff(99,plain,
% 12.39/7.97 (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), E!3)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[98, 94])).
% 12.39/7.97 tff(100,plain,
% 12.39/7.97 (((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), E!3)) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5)) | (~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), B!5))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(101,plain,
% 12.39/7.97 ($false),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[100, 99, 92])).
% 12.39/7.97 tff(102,plain,(subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))), inference(lemma,lemma(discharge,[]))).
% 12.39/7.97 tff(103,plain,
% 12.39/7.97 ((~subset(A!6, B!5)) | (~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | (~((~subset(A!6, B!5)) <=> subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(104,plain,
% 12.39/7.97 ((~subset(A!6, B!5)) | (~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[103, 78])).
% 12.39/7.97 tff(105,plain,
% 12.39/7.97 (~subset(A!6, B!5)),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[104, 102])).
% 12.39/7.97 tff(106,plain,
% 12.39/7.97 (((~((~subset(A!6, B!5)) | ![X: $i] : ((~member(X, A!6)) | member(X, B!5)))) | (~(subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5)))))) | (subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5))))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(107,plain,
% 12.39/7.97 (subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5)))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[106, 83])).
% 12.39/7.97 tff(108,plain,
% 12.39/7.97 ((~(subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5))))) | subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5)))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(109,plain,
% 12.39/7.97 (subset(A!6, B!5) | (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5)))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[108, 107])).
% 12.39/7.97 tff(110,plain,
% 12.39/7.97 (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[109, 105])).
% 12.39/7.97 tff(111,plain,
% 12.39/7.97 (((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5)) | member(tptp_fun_X_0(B!5, A!6), A!6)),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(112,plain,
% 12.39/7.97 (member(tptp_fun_X_0(B!5, A!6), A!6)),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[111, 110])).
% 12.39/7.97 tff(113,plain,
% 12.39/7.97 ((~![A: $i, B: $i] : (~((~((~subset(A, B)) | ![X: $i] : ((~member(X, A)) | member(X, B)))) | (~(subset(A, B) | (~((~member(tptp_fun_X_0(B, A), A)) | member(tptp_fun_X_0(B, A), B)))))))) | (~((~((~subset(A!6, E!3)) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3)))) | (~(subset(A!6, E!3) | (~((~member(tptp_fun_X_0(E!3, A!6), A!6)) | member(tptp_fun_X_0(E!3, A!6), E!3)))))))),
% 12.39/7.97 inference(quant_inst,[status(thm)],[])).
% 12.39/7.97 tff(114,plain,
% 12.39/7.97 (~((~((~subset(A!6, E!3)) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3)))) | (~(subset(A!6, E!3) | (~((~member(tptp_fun_X_0(E!3, A!6), A!6)) | member(tptp_fun_X_0(E!3, A!6), E!3))))))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[113, 50])).
% 12.39/7.97 tff(115,plain,
% 12.39/7.97 (((~((~subset(A!6, E!3)) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3)))) | (~(subset(A!6, E!3) | (~((~member(tptp_fun_X_0(E!3, A!6), A!6)) | member(tptp_fun_X_0(E!3, A!6), E!3)))))) | ((~subset(A!6, E!3)) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3)))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(116,plain,
% 12.39/7.97 ((~subset(A!6, E!3)) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[115, 114])).
% 12.39/7.97 tff(117,plain,
% 12.39/7.97 (subset(A!6, E!3) & subset(B!5, E!3)),
% 12.39/7.97 inference(or_elim,[status(thm)],[76])).
% 12.39/7.97 tff(118,plain,
% 12.39/7.97 (subset(A!6, E!3)),
% 12.39/7.97 inference(and_elim,[status(thm)],[117])).
% 12.39/7.97 tff(119,plain,
% 12.39/7.97 ((~((~subset(A!6, E!3)) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3)))) | (~subset(A!6, E!3)) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(120,plain,
% 12.39/7.97 ((~((~subset(A!6, E!3)) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3)))) | ![X: $i] : ((~member(X, A!6)) | member(X, E!3))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[119, 118])).
% 12.39/7.97 tff(121,plain,
% 12.39/7.97 (![X: $i] : ((~member(X, A!6)) | member(X, E!3))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[120, 116])).
% 12.39/7.97 tff(122,plain,
% 12.39/7.97 (((~![X: $i] : ((~member(X, A!6)) | member(X, E!3))) | ((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), E!3))) <=> ((~![X: $i] : ((~member(X, A!6)) | member(X, E!3))) | (~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), E!3))),
% 12.39/7.97 inference(rewrite,[status(thm)],[])).
% 12.39/7.97 tff(123,plain,
% 12.39/7.97 ((~![X: $i] : ((~member(X, A!6)) | member(X, E!3))) | ((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), E!3))),
% 12.39/7.97 inference(quant_inst,[status(thm)],[])).
% 12.39/7.97 tff(124,plain,
% 12.39/7.97 ((~![X: $i] : ((~member(X, A!6)) | member(X, E!3))) | (~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), E!3)),
% 12.39/7.97 inference(modus_ponens,[status(thm)],[123, 122])).
% 12.39/7.97 tff(125,plain,
% 12.39/7.97 (member(tptp_fun_X_0(B!5, A!6), E!3)),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[124, 121, 112])).
% 12.39/7.97 tff(126,plain,
% 12.39/7.97 (((~member(tptp_fun_X_0(B!5, A!6), A!6)) | member(tptp_fun_X_0(B!5, A!6), B!5)) | (~member(tptp_fun_X_0(B!5, A!6), B!5))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(127,plain,
% 12.39/7.97 (~member(tptp_fun_X_0(B!5, A!6), B!5)),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[126, 110])).
% 12.39/7.97 tff(128,plain,
% 12.39/7.97 ((~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5))) | (~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5)),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(129,plain,
% 12.39/7.97 (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[128, 127, 125])).
% 12.39/7.97 tff(130,plain,
% 12.39/7.97 ((~(member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5))))) | member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5)) | ((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5))),
% 12.39/7.97 inference(tautology,[status(thm)],[])).
% 12.39/7.97 tff(131,plain,
% 12.39/7.97 ((~(member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5)) <=> (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), B!5))))) | member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[130, 129])).
% 12.39/7.97 tff(132,plain,
% 12.39/7.97 (member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))),
% 12.39/7.97 inference(unit_resolution,[status(thm)],[131, 31])).
% 12.39/7.97 tff(133,plain,
% 12.39/7.97 ((~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))))) | (~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5)))),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(134,plain,
% 12.39/7.98 (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[133, 112, 132])).
% 12.39/7.98 tff(135,plain,
% 12.39/7.98 ((~(member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))))))) | member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5))) | ((~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))))),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(136,plain,
% 12.39/7.98 ((~(member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), A!6)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, B!5))))))) | member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5)))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[135, 134])).
% 12.39/7.98 tff(137,plain,
% 12.39/7.98 (member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5)))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[136, 17])).
% 12.39/7.98 tff(138,plain,
% 12.39/7.98 (((~((~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4)))))) | (~(subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(intersection(C!4, difference(E!3, C!4)), intersection(A!6, difference(E!3, B!5))), intersection(C!4, difference(E!3, C!4)))))))) | ((~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4)))))),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(139,plain,
% 12.39/7.98 ((~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[138, 52])).
% 12.39/7.98 tff(140,plain,
% 12.39/7.98 ((~((~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4)))))) | (~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(141,plain,
% 12.39/7.98 ((~subset(intersection(A!6, difference(E!3, B!5)), intersection(C!4, difference(E!3, C!4)))) | ![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[140, 139])).
% 12.39/7.98 tff(142,plain,
% 12.39/7.98 (![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[141, 102])).
% 12.39/7.98 tff(143,plain,
% 12.39/7.98 (((~![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4))))) | ((~member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4))))) <=> ((~![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4))))) | (~member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.98 inference(rewrite,[status(thm)],[])).
% 12.39/7.98 tff(144,plain,
% 12.39/7.98 ((~![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4))))) | ((~member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4))))),
% 12.39/7.98 inference(quant_inst,[status(thm)],[])).
% 12.39/7.98 tff(145,plain,
% 12.39/7.98 ((~![X: $i] : ((~member(X, intersection(A!6, difference(E!3, B!5)))) | member(X, intersection(C!4, difference(E!3, C!4))))) | (~member(tptp_fun_X_0(B!5, A!6), intersection(A!6, difference(E!3, B!5)))) | member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4)))),
% 12.39/7.98 inference(modus_ponens,[status(thm)],[144, 143])).
% 12.39/7.98 tff(146,plain,
% 12.39/7.98 ($false),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[145, 142, 137, 13])).
% 12.39/7.98 tff(147,plain,(member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4)))), inference(lemma,lemma(discharge,[]))).
% 12.39/7.98 tff(148,plain,
% 12.39/7.98 ((~(member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4))))))) | (~member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4)))) | (~((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4)))))),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(149,plain,
% 12.39/7.98 ((~(member(tptp_fun_X_0(B!5, A!6), intersection(C!4, difference(E!3, C!4))) <=> (~((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4))))))) | (~((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4)))))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[148, 147])).
% 12.39/7.98 tff(150,plain,
% 12.39/7.98 (~((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4))))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[149, 12])).
% 12.39/7.98 tff(151,plain,
% 12.39/7.98 (((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4)))) | member(tptp_fun_X_0(B!5, A!6), C!4)),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(152,plain,
% 12.39/7.98 (member(tptp_fun_X_0(B!5, A!6), C!4)),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[151, 150])).
% 12.39/7.98 tff(153,plain,
% 12.39/7.98 (((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), C!4))),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(154,plain,
% 12.39/7.98 ((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), C!4)),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[153, 152])).
% 12.39/7.98 tff(155,plain,
% 12.39/7.98 (((~member(tptp_fun_X_0(B!5, A!6), C!4)) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4)))) | member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4))),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(156,plain,
% 12.39/7.98 (member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[155, 150])).
% 12.39/7.98 tff(157,plain,
% 12.39/7.98 ((~(member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4)) <=> (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), C!4))))) | (~member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4))) | (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), C!4)))),
% 12.39/7.98 inference(tautology,[status(thm)],[])).
% 12.39/7.98 tff(158,plain,
% 12.39/7.98 (~(member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4)) <=> (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), C!4))))),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[157, 156, 154])).
% 12.39/7.98 tff(159,plain,
% 12.39/7.98 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(B!5, A!6), difference(E!3, C!4)) <=> (~((~member(tptp_fun_X_0(B!5, A!6), E!3)) | member(tptp_fun_X_0(B!5, A!6), C!4))))),
% 12.39/7.98 inference(quant_inst,[status(thm)],[])).
% 12.39/7.98 tff(160,plain,
% 12.39/7.98 ($false),
% 12.39/7.98 inference(unit_resolution,[status(thm)],[159, 28, 158])).
% 12.39/7.98 % SZS output end Proof
%------------------------------------------------------------------------------