TSTP Solution File: SET706+4 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SET706+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.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 05:07:41 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET706+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n016.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 07:48:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(member_type, type, (
% 0.19/0.39 member: ( $i * $i ) > $o)).
% 0.19/0.39 tff(tptp_fun_B_4_type, type, (
% 0.19/0.39 tptp_fun_B_4: $i)).
% 0.19/0.39 tff(tptp_fun_X_0_type, type, (
% 0.19/0.39 tptp_fun_X_0: ( $i * $i ) > $i)).
% 0.19/0.39 tff(difference_type, type, (
% 0.19/0.39 difference: ( $i * $i ) > $i)).
% 0.19/0.39 tff(tptp_fun_C_3_type, type, (
% 0.19/0.39 tptp_fun_C_3: $i)).
% 0.19/0.39 tff(tptp_fun_A_5_type, type, (
% 0.19/0.39 tptp_fun_A_5: $i)).
% 0.19/0.39 tff(union_type, type, (
% 0.19/0.39 union: ( $i * $i ) > $i)).
% 0.19/0.39 tff(subset_type, type, (
% 0.19/0.39 subset: ( $i * $i ) > $o)).
% 0.19/0.39 tff(equal_set_type, type, (
% 0.19/0.39 equal_set: ( $i * $i ) > $o)).
% 0.19/0.39 tff(1,plain,
% 0.19/0.39 (^[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)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(2,plain,
% 0.19/0.39 (![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))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 (^[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)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(4,plain,
% 0.19/0.39 (![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))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[3])).
% 0.19/0.39 tff(5,plain,
% 0.19/0.39 (![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))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(6,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')).
% 0.19/0.39 tff(7,plain,
% 0.19/0.39 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.19/0.39 tff(8,plain,(
% 0.19/0.39 ![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (member(B, E) & (~member(B, A))))),
% 0.19/0.39 inference(skolemize,[status(sab)],[7])).
% 0.19/0.39 tff(9,plain,
% 0.19/0.39 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(12,plain,
% 0.19/0.39 (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 (^[X: $i, A: $i, B: $i] : refl((member(X, union(A, B)) <=> (member(X, B) | member(X, A))) <=> (member(X, union(A, B)) <=> (member(X, B) | member(X, A))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(14,plain,
% 0.19/0.39 (![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A))) <=> ![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[13])).
% 0.19/0.39 tff(15,plain,
% 0.19/0.39 (![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A))) <=> ![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(16,plain,
% 0.19/0.40 (^[X: $i, A: $i, B: $i] : rewrite((member(X, union(A, B)) <=> (member(X, A) | member(X, B))) <=> (member(X, union(A, B)) <=> (member(X, B) | member(X, A))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(17,plain,
% 0.19/0.40 (![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, A) | member(X, B))) <=> ![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[16])).
% 0.19/0.40 tff(18,axiom,(![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, A) | member(X, B)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax','union')).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 (![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.19/0.40 tff(20,plain,
% 0.19/0.40 (![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.19/0.40 tff(21,plain,(
% 0.19/0.40 ![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[20])).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.19/0.40 tff(23,plain,
% 0.19/0.40 ((~![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))) | (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(24,plain,
% 0.19/0.40 (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.19/0.40 tff(25,plain,
% 0.19/0.40 (^[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))))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(26,plain,
% 0.19/0.40 (![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)))))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[25])).
% 0.19/0.40 tff(27,plain,
% 0.19/0.40 (^[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))))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(28,plain,
% 0.19/0.40 (![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)))))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[27])).
% 0.19/0.40 tff(29,plain,
% 0.19/0.40 (![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)))))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[28, 26])).
% 0.19/0.40 tff(30,plain,
% 0.19/0.40 (^[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)))))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(31,plain,
% 0.19/0.40 (![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)))))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[30])).
% 0.19/0.40 tff(32,plain,
% 0.19/0.40 (![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)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(33,plain,
% 0.19/0.40 (^[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))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(34,plain,
% 0.19/0.40 (![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)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[33])).
% 0.19/0.40 tff(35,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')).
% 0.19/0.40 tff(36,plain,
% 0.19/0.40 (![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : ((~member(X, A)) | member(X, B)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.40 tff(37,plain,
% 0.19/0.40 (![A: $i, B: $i] : (subset(A, B) <=> ![X: $i] : ((~member(X, A)) | member(X, B)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.19/0.40 tff(38,plain,(
% 0.19/0.40 ![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)))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[37])).
% 0.19/0.40 tff(39,plain,
% 0.19/0.40 (![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)))))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.19/0.40 tff(40,plain,
% 0.19/0.40 (![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)))))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[39, 29])).
% 0.19/0.40 tff(41,plain,
% 0.19/0.40 ((~![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(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | ![X: $i] : ((~member(X, difference(A!5, C!3))) | member(X, union(difference(B!4, C!3), difference(A!5, B!4)))))) | (~(subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4)))))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(42,plain,
% 0.19/0.40 (~((~((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | ![X: $i] : ((~member(X, difference(A!5, C!3))) | member(X, union(difference(B!4, C!3), difference(A!5, B!4)))))) | (~(subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[41, 40])).
% 0.19/0.40 tff(43,plain,
% 0.19/0.40 (((~((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | ![X: $i] : ((~member(X, difference(A!5, C!3))) | member(X, union(difference(B!4, C!3), difference(A!5, B!4)))))) | (~(subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4)))))))) | (subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(44,plain,
% 0.19/0.40 (subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4)))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[43, 42])).
% 0.19/0.40 tff(45,assumption,((~((~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))) | ![X: $i] : ((~member(X, union(difference(B!4, C!3), difference(A!5, B!4)))) | member(X, difference(A!5, C!3))))) | (~(subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))))))), introduced(assumption)).
% 0.19/0.40 tff(46,plain,
% 0.19/0.40 ((~![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(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))) | ![X: $i] : ((~member(X, union(difference(B!4, C!3), difference(A!5, B!4)))) | member(X, difference(A!5, C!3))))) | (~(subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))))))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(47,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[46, 40, 45])).
% 0.19/0.41 tff(48,plain,(~((~((~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))) | ![X: $i] : ((~member(X, union(difference(B!4, C!3), difference(A!5, B!4)))) | member(X, difference(A!5, C!3))))) | (~(subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)))))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(49,plain,
% 0.19/0.41 (((~((~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))) | ![X: $i] : ((~member(X, union(difference(B!4, C!3), difference(A!5, B!4)))) | member(X, difference(A!5, C!3))))) | (~(subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))))))) | (subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(50,plain,
% 0.19/0.41 (subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[49, 48])).
% 0.19/0.41 tff(51,plain,
% 0.19/0.41 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(52,plain,
% 0.19/0.41 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[51, 10])).
% 0.19/0.41 tff(53,plain,
% 0.19/0.41 ((~![X: $i, A: $i, B: $i] : (member(X, union(A, B)) <=> (member(X, B) | member(X, A)))) | (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(54,plain,
% 0.19/0.41 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[53, 22])).
% 0.19/0.41 tff(55,assumption,(~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)))), introduced(assumption)).
% 0.19/0.41 tff(56,plain,
% 0.19/0.41 (((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(57,plain,
% 0.19/0.41 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.19/0.41 tff(58,plain,
% 0.19/0.41 ((~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3))))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(59,plain,
% 0.19/0.41 ((~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3))))) | (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.19/0.41 tff(60,plain,
% 0.19/0.41 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[59, 54])).
% 0.19/0.41 tff(61,plain,
% 0.19/0.41 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(62,plain,
% 0.19/0.41 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[61, 10])).
% 0.19/0.41 tff(63,plain,
% 0.19/0.41 (((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(64,plain,
% 0.19/0.42 (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[63, 55])).
% 0.19/0.42 tff(65,plain,
% 0.19/0.42 ((~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)) | ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(66,plain,
% 0.19/0.42 ((~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))))) | ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[65, 64])).
% 0.19/0.42 tff(67,plain,
% 0.19/0.42 ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[66, 62])).
% 0.19/0.42 tff(68,assumption,(~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4))), introduced(assumption)).
% 0.19/0.42 tff(69,plain,
% 0.19/0.42 (((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(70,plain,
% 0.19/0.42 (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[69, 68])).
% 0.19/0.42 tff(71,assumption,((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)), introduced(assumption)).
% 0.19/0.42 tff(72,plain,
% 0.19/0.42 (((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(73,plain,
% 0.19/0.42 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[72, 68])).
% 0.19/0.42 tff(74,plain,
% 0.19/0.42 ((~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(75,plain,
% 0.19/0.42 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[74, 73, 71])).
% 0.19/0.42 tff(76,plain,
% 0.19/0.42 ((~![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(C!3, B!4)) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4)))) | (~(subset(C!3, B!4) | (~((~member(tptp_fun_X_0(B!4, C!3), C!3)) | member(tptp_fun_X_0(B!4, C!3), B!4)))))))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(77,plain,
% 0.19/0.42 (~((~((~subset(C!3, B!4)) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4)))) | (~(subset(C!3, B!4) | (~((~member(tptp_fun_X_0(B!4, C!3), C!3)) | member(tptp_fun_X_0(B!4, C!3), B!4))))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[76, 40])).
% 0.19/0.42 tff(78,plain,
% 0.19/0.42 (((~((~subset(C!3, B!4)) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4)))) | (~(subset(C!3, B!4) | (~((~member(tptp_fun_X_0(B!4, C!3), C!3)) | member(tptp_fun_X_0(B!4, C!3), B!4)))))) | ((~subset(C!3, B!4)) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4)))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(79,plain,
% 0.19/0.42 ((~subset(C!3, B!4)) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.19/0.42 tff(80,plain,
% 0.19/0.42 ((~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B))))) <=> (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B)))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(81,plain,
% 0.19/0.42 ((~![A: $i, B: $i, C: $i] : ((subset(C, B) & subset(B, A)) => equal_set(difference(A, C), union(difference(B, C), difference(A, B))))) <=> (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B)))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(82,axiom,(~![A: $i, B: $i, C: $i] : ((subset(C, B) & subset(B, A)) => equal_set(difference(A, C), union(difference(B, C), difference(A, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thI49')).
% 0.19/0.42 tff(83,plain,
% 0.19/0.42 (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.19/0.42 tff(84,plain,
% 0.19/0.42 (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[83, 80])).
% 0.19/0.42 tff(85,plain,
% 0.19/0.42 (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[84, 80])).
% 0.19/0.42 tff(86,plain,
% 0.19/0.42 (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[85, 80])).
% 0.19/0.42 tff(87,plain,
% 0.19/0.42 (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[86, 80])).
% 0.19/0.42 tff(88,plain,
% 0.19/0.42 (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.19/0.42 tff(89,plain,
% 0.19/0.42 (~![A: $i, B: $i, C: $i] : ((~(subset(C, B) & subset(B, A))) | equal_set(difference(A, C), union(difference(B, C), difference(A, B))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[88, 80])).
% 0.19/0.42 tff(90,plain,(
% 0.19/0.42 ~((~(subset(C!3, B!4) & subset(B!4, A!5))) | equal_set(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))))),
% 0.19/0.42 inference(skolemize,[status(sab)],[89])).
% 0.19/0.42 tff(91,plain,
% 0.19/0.42 (subset(C!3, B!4) & subset(B!4, A!5)),
% 0.20/0.42 inference(or_elim,[status(thm)],[90])).
% 0.20/0.42 tff(92,plain,
% 0.20/0.42 (subset(C!3, B!4)),
% 0.20/0.42 inference(and_elim,[status(thm)],[91])).
% 0.20/0.42 tff(93,plain,
% 0.20/0.42 ((~((~subset(C!3, B!4)) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4)))) | (~subset(C!3, B!4)) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4))),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(94,plain,
% 0.20/0.42 ((~((~subset(C!3, B!4)) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4)))) | ![X: $i] : ((~member(X, C!3)) | member(X, B!4))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[93, 92])).
% 0.20/0.42 tff(95,plain,
% 0.20/0.42 (![X: $i] : ((~member(X, C!3)) | member(X, B!4))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[94, 79])).
% 0.20/0.42 tff(96,plain,
% 0.20/0.42 (((~![X: $i] : ((~member(X, C!3)) | member(X, B!4))) | ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4))) <=> ((~![X: $i] : ((~member(X, C!3)) | member(X, B!4))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(97,plain,
% 0.20/0.42 ((~![X: $i] : ((~member(X, C!3)) | member(X, B!4))) | ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(98,plain,
% 0.20/0.42 ((~![X: $i] : ((~member(X, C!3)) | member(X, B!4))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.20/0.42 tff(99,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[98, 95, 75, 70])).
% 0.20/0.42 tff(100,plain,(((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.42 tff(101,plain,
% 0.20/0.42 ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[100, 67])).
% 0.20/0.42 tff(102,assumption,(~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4))))), introduced(assumption)).
% 0.20/0.42 tff(103,plain,
% 0.20/0.42 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4))))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(104,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[103, 10, 102])).
% 0.20/0.42 tff(105,plain,(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.43 tff(106,plain,
% 0.20/0.43 ((~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4))))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)))),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(107,plain,
% 0.20/0.43 ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[106, 105])).
% 0.20/0.43 tff(108,plain,
% 0.20/0.43 (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[107, 101])).
% 0.20/0.43 tff(109,plain,
% 0.20/0.43 ((~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3))),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(110,plain,
% 0.20/0.43 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[109, 108, 60])).
% 0.20/0.43 tff(111,plain,
% 0.20/0.43 ((~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3))) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)))),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(112,plain,
% 0.20/0.43 ((~(member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(B!4, C!3)) <=> (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))))) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[111, 110])).
% 0.20/0.43 tff(113,plain,
% 0.20/0.43 (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[112, 52])).
% 0.20/0.43 tff(114,plain,
% 0.20/0.43 (((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(115,plain,
% 0.20/0.43 (member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[114, 113])).
% 0.20/0.43 tff(116,plain,
% 0.20/0.43 (((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3))),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(117,plain,
% 0.20/0.43 (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), C!3)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[116, 113])).
% 0.20/0.43 tff(118,plain,
% 0.20/0.43 (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[74, 117, 67])).
% 0.20/0.43 tff(119,plain,
% 0.20/0.43 ((~![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(B!4, A!5)) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5)))) | (~(subset(B!4, A!5) | (~((~member(tptp_fun_X_0(A!5, B!4), B!4)) | member(tptp_fun_X_0(A!5, B!4), A!5)))))))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(120,plain,
% 0.20/0.43 (~((~((~subset(B!4, A!5)) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5)))) | (~(subset(B!4, A!5) | (~((~member(tptp_fun_X_0(A!5, B!4), B!4)) | member(tptp_fun_X_0(A!5, B!4), A!5))))))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[119, 40])).
% 0.20/0.43 tff(121,plain,
% 0.20/0.43 (((~((~subset(B!4, A!5)) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5)))) | (~(subset(B!4, A!5) | (~((~member(tptp_fun_X_0(A!5, B!4), B!4)) | member(tptp_fun_X_0(A!5, B!4), A!5)))))) | ((~subset(B!4, A!5)) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5)))),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(122,plain,
% 0.20/0.43 ((~subset(B!4, A!5)) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.20/0.43 tff(123,plain,
% 0.20/0.43 (subset(B!4, A!5)),
% 0.20/0.43 inference(and_elim,[status(thm)],[91])).
% 0.20/0.43 tff(124,plain,
% 0.20/0.43 ((~((~subset(B!4, A!5)) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5)))) | (~subset(B!4, A!5)) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5))),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(125,plain,
% 0.20/0.43 ((~((~subset(B!4, A!5)) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5)))) | ![X: $i] : ((~member(X, B!4)) | member(X, A!5))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[124, 123])).
% 0.20/0.43 tff(126,plain,
% 0.20/0.43 (![X: $i] : ((~member(X, B!4)) | member(X, A!5))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[125, 122])).
% 0.20/0.43 tff(127,plain,
% 0.20/0.43 (((~![X: $i] : ((~member(X, B!4)) | member(X, A!5))) | ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5))) <=> ((~![X: $i] : ((~member(X, B!4)) | member(X, A!5))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(128,plain,
% 0.20/0.43 ((~![X: $i] : ((~member(X, B!4)) | member(X, A!5))) | ((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(129,plain,
% 0.20/0.43 ((~![X: $i] : ((~member(X, B!4)) | member(X, A!5))) | (~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), B!4)) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), A!5)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.20/0.43 tff(130,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[129, 126, 118, 115])).
% 0.20/0.43 tff(131,plain,((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.44 tff(132,plain,
% 0.20/0.44 ((~(subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)))))) | subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3))))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(133,plain,
% 0.20/0.44 ((~(subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)) | (~((~member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))), difference(A!5, C!3)))))) | subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.20/0.44 tff(134,plain,
% 0.20/0.44 (subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[133, 50])).
% 0.20/0.44 tff(135,plain,
% 0.20/0.44 (^[A: $i, B: $i] : refl((equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A))))) <=> (equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(136,plain,
% 0.20/0.44 (![A: $i, B: $i] : (equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A))))) <=> ![A: $i, B: $i] : (equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A)))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[135])).
% 0.20/0.44 tff(137,plain,
% 0.20/0.44 (^[A: $i, B: $i] : rewrite((equal_set(A, B) <=> (subset(A, B) & subset(B, A))) <=> (equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(138,plain,
% 0.20/0.44 (![A: $i, B: $i] : (equal_set(A, B) <=> (subset(A, B) & subset(B, A))) <=> ![A: $i, B: $i] : (equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A)))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[137])).
% 0.20/0.44 tff(139,plain,
% 0.20/0.44 (![A: $i, B: $i] : (equal_set(A, B) <=> (subset(A, B) & subset(B, A))) <=> ![A: $i, B: $i] : (equal_set(A, B) <=> (subset(A, B) & subset(B, A)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(140,axiom,(![A: $i, B: $i] : (equal_set(A, B) <=> (subset(A, B) & subset(B, A)))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax','equal_set')).
% 0.20/0.44 tff(141,plain,
% 0.20/0.44 (![A: $i, B: $i] : (equal_set(A, B) <=> (subset(A, B) & subset(B, A)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.20/0.44 tff(142,plain,(
% 0.20/0.44 ![A: $i, B: $i] : (equal_set(A, B) <=> (subset(A, B) & subset(B, A)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[141])).
% 0.20/0.44 tff(143,plain,
% 0.20/0.44 (![A: $i, B: $i] : (equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A)))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[142, 138])).
% 0.20/0.44 tff(144,plain,
% 0.20/0.44 (![A: $i, B: $i] : (equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A)))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[143, 136])).
% 0.20/0.44 tff(145,plain,
% 0.20/0.44 ((~![A: $i, B: $i] : (equal_set(A, B) <=> (~((~subset(A, B)) | (~subset(B, A)))))) | (equal_set(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (~((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(146,plain,
% 0.20/0.44 (equal_set(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (~((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)))))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[145, 144])).
% 0.20/0.44 tff(147,plain,
% 0.20/0.44 (~equal_set(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))),
% 0.20/0.44 inference(or_elim,[status(thm)],[90])).
% 0.20/0.44 tff(148,plain,
% 0.20/0.44 ((~(equal_set(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (~((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))))))) | equal_set(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | ((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(149,plain,
% 0.20/0.44 ((~(equal_set(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (~((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))))))) | ((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[148, 147])).
% 0.20/0.44 tff(150,plain,
% 0.20/0.44 ((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[149, 146])).
% 0.20/0.44 tff(151,plain,
% 0.20/0.44 ((~((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3))))) | (~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(152,plain,
% 0.20/0.44 ((~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~subset(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.20/0.44 tff(153,plain,
% 0.20/0.44 (~subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[152, 134])).
% 0.20/0.44 tff(154,plain,
% 0.20/0.44 ((~(subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))))))) | subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4)))))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(155,plain,
% 0.20/0.44 ((~(subset(difference(A!5, C!3), union(difference(B!4, C!3), difference(A!5, B!4))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))))))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4)))))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[154, 153])).
% 0.20/0.44 tff(156,plain,
% 0.20/0.44 (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[155, 44])).
% 0.20/0.45 tff(157,plain,
% 0.20/0.45 (((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4)))) | (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(158,plain,
% 0.20/0.45 (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[157, 156])).
% 0.20/0.45 tff(159,plain,
% 0.20/0.45 ((~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3))))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))) | (~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3))))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(160,plain,
% 0.20/0.45 ((~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4))) <=> (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3))))) | (~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[159, 158])).
% 0.20/0.45 tff(161,plain,
% 0.20/0.45 (~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[160, 24])).
% 0.20/0.45 tff(162,plain,
% 0.20/0.45 ((member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3))) | (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(163,plain,
% 0.20/0.45 (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[162, 161])).
% 0.20/0.45 tff(164,plain,
% 0.20/0.45 ((~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4))))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | ((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(165,plain,
% 0.20/0.45 ((~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4))))) | ((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[164, 163])).
% 0.20/0.45 tff(166,plain,
% 0.20/0.45 ((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[165, 12])).
% 0.20/0.45 tff(167,plain,
% 0.20/0.45 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(168,plain,
% 0.20/0.45 (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[167, 10])).
% 0.20/0.45 tff(169,plain,
% 0.20/0.45 ((member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3))) | (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3)))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(170,plain,
% 0.20/0.45 (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[169, 161])).
% 0.20/0.45 tff(171,plain,
% 0.20/0.45 ((~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3)) | ((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(172,plain,
% 0.20/0.45 ((~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(B!4, C!3)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))))) | ((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[171, 170])).
% 0.20/0.45 tff(173,plain,
% 0.20/0.45 ((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[172, 168])).
% 0.20/0.45 tff(174,plain,
% 0.20/0.45 ((~![B: $i, A: $i, E: $i] : (member(B, difference(E, A)) <=> (~((~member(B, E)) | member(B, A))))) | (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(175,plain,
% 0.20/0.45 (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[174, 10])).
% 0.20/0.45 tff(176,plain,
% 0.20/0.45 (((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), union(difference(B!4, C!3), difference(A!5, B!4)))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(177,plain,
% 0.20/0.45 (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[176, 156])).
% 0.20/0.45 tff(178,plain,
% 0.20/0.45 ((~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))))) | (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(179,plain,
% 0.20/0.45 ((~(member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), difference(A!5, C!3)) <=> (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))))) | (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[178, 177])).
% 0.20/0.45 tff(180,plain,
% 0.20/0.45 (~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[179, 175])).
% 0.20/0.45 tff(181,plain,
% 0.20/0.45 (((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)) | (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(182,plain,
% 0.20/0.45 (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[181, 180])).
% 0.20/0.45 tff(183,plain,
% 0.20/0.45 ((~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))) | (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(184,plain,
% 0.20/0.46 ((~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3))) | (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[183, 182])).
% 0.20/0.46 tff(185,plain,
% 0.20/0.46 (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[184, 173])).
% 0.20/0.46 tff(186,plain,
% 0.20/0.46 (((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), C!3)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(187,plain,
% 0.20/0.46 (member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[186, 180])).
% 0.20/0.46 tff(188,plain,
% 0.20/0.46 ((~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4))) | (~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(189,plain,
% 0.20/0.46 ((~((~member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), A!5)) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4))) | member(tptp_fun_X_0(union(difference(B!4, C!3), difference(A!5, B!4)), difference(A!5, C!3)), B!4)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[188, 187])).
% 0.20/0.46 tff(190,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[189, 185, 166])).
% 0.20/0.46 % SZS output end Proof
%------------------------------------------------------------------------------