TSTP Solution File: SET614+3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SET614+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.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 05:07:19 EDT 2022
% Result : Theorem 93.24s 60.19s
% Output : Proof 93.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET614+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Sep 3 06:57:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 93.24/60.19 % SZS status Theorem
% 93.24/60.19 % SZS output start Proof
% 93.24/60.19 tff(member_type, type, (
% 93.24/60.19 member: ( $i * $i ) > $o)).
% 93.24/60.19 tff(difference_type, type, (
% 93.24/60.19 difference: ( $i * $i ) > $i)).
% 93.24/60.19 tff(union_type, type, (
% 93.24/60.19 union: ( $i * $i ) > $i)).
% 93.24/60.19 tff(tptp_fun_C_3_type, type, (
% 93.24/60.19 tptp_fun_C_3: $i)).
% 93.24/60.19 tff(tptp_fun_D_2_type, type, (
% 93.24/60.19 tptp_fun_D_2: $i)).
% 93.24/60.19 tff(tptp_fun_B_4_type, type, (
% 93.24/60.19 tptp_fun_B_4: $i)).
% 93.24/60.19 tff(tptp_fun_D_1_type, type, (
% 93.24/60.19 tptp_fun_D_1: ( $i * $i ) > $i)).
% 93.24/60.19 tff(tptp_fun_D_0_type, type, (
% 93.24/60.19 tptp_fun_D_0: ( $i * $i ) > $i)).
% 93.24/60.19 tff(1,plain,
% 93.24/60.19 (^[B: $i, C: $i, D: $i] : refl((~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(2,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(quant_intro,[status(thm)],[1])).
% 93.24/60.19 tff(3,plain,
% 93.24/60.19 (![B: $i, C: $i] : ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(pull_quant,[status(thm)],[])).
% 93.24/60.19 tff(4,plain,
% 93.24/60.19 (^[B: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(pull_quant(((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) <=> ![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))), ((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) <=> (~![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))))), pull_quant((~![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))) <=> ?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C))))), ((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) <=> ?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))))), (((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))) <=> (?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))), pull_quant((?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))) <=> ?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))), (((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))) <=> ?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))), ((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> (~?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))))), pull_quant((~?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))), ((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(5,plain,
% 93.24/60.19 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i] : ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(quant_intro,[status(thm)],[4])).
% 93.24/60.19 tff(6,plain,
% 93.24/60.19 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(transitivity,[status(thm)],[5, 3])).
% 93.24/60.19 tff(7,plain,
% 93.24/60.19 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(transitivity,[status(thm)],[6, 2])).
% 93.24/60.19 tff(8,plain,
% 93.24/60.19 (^[B: $i, C: $i] : rewrite((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(9,plain,
% 93.24/60.19 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(quant_intro,[status(thm)],[8])).
% 93.24/60.19 tff(10,plain,
% 93.24/60.19 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(transitivity,[status(thm)],[9, 7])).
% 93.24/60.19 tff(11,plain,
% 93.24/60.19 (^[B: $i, C: $i] : trans(monotonicity(rewrite(((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) <=> ((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))), ((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))) <=> (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))), rewrite((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))), ((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(12,plain,
% 93.24/60.19 (![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))) <=> ![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(quant_intro,[status(thm)],[11])).
% 93.24/60.19 tff(13,plain,
% 93.24/60.19 (^[B: $i, C: $i] : rewrite((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))) <=> (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(14,plain,
% 93.24/60.19 (![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))) <=> ![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))),
% 93.24/60.19 inference(quant_intro,[status(thm)],[13])).
% 93.24/60.19 tff(15,plain,
% 93.24/60.19 (![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C))) <=> ![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))),
% 93.24/60.19 inference(rewrite,[status(thm)],[])).
% 93.24/60.19 tff(16,axiom,(![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','equal_member_defn')).
% 93.24/60.19 tff(17,plain,
% 93.24/60.19 (![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))),
% 93.24/60.19 inference(modus_ponens,[status(thm)],[16, 15])).
% 93.24/60.19 tff(18,plain,(
% 93.24/60.19 ![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))),
% 93.24/60.19 inference(skolemize,[status(sab)],[17])).
% 93.24/60.19 tff(19,plain,
% 93.24/60.19 (![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))),
% 93.24/60.19 inference(modus_ponens,[status(thm)],[18, 14])).
% 93.24/60.19 tff(20,plain,
% 93.24/60.19 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(modus_ponens,[status(thm)],[19, 12])).
% 93.24/60.19 tff(21,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 93.24/60.19 inference(modus_ponens,[status(thm)],[20, 10])).
% 93.24/60.19 tff(22,plain,
% 93.24/60.19 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))))),
% 93.24/60.19 inference(quant_inst,[status(thm)],[])).
% 93.24/60.19 tff(23,plain,
% 93.24/60.19 (~((~((~(difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))))),
% 93.24/60.19 inference(unit_resolution,[status(thm)],[22, 21])).
% 93.24/60.19 tff(24,plain,
% 93.24/60.19 (((~((~(difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))) | ((difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))),
% 93.24/60.19 inference(tautology,[status(thm)],[])).
% 93.24/60.19 tff(25,plain,
% 93.24/60.19 ((difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.24/60.19 inference(unit_resolution,[status(thm)],[24, 23])).
% 93.24/60.19 tff(26,plain,
% 93.24/60.19 (^[B: $i, C: $i, D: $i] : refl((member(D, union(B, C)) <=> (member(D, C) | member(D, B))) <=> (member(D, union(B, C)) <=> (member(D, C) | member(D, B))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(27,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B))) <=> ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 93.24/60.19 inference(quant_intro,[status(thm)],[26])).
% 93.24/60.19 tff(28,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B))) <=> ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 93.24/60.19 inference(rewrite,[status(thm)],[])).
% 93.24/60.19 tff(29,plain,
% 93.24/60.19 (^[B: $i, C: $i, D: $i] : rewrite((member(D, union(B, C)) <=> (member(D, B) | member(D, C))) <=> (member(D, union(B, C)) <=> (member(D, C) | member(D, B))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(30,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, B) | member(D, C))) <=> ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 93.24/60.19 inference(quant_intro,[status(thm)],[29])).
% 93.24/60.19 tff(31,axiom,(![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, B) | member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','union_defn')).
% 93.24/60.19 tff(32,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 93.24/60.19 inference(modus_ponens,[status(thm)],[31, 30])).
% 93.24/60.19 tff(33,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 93.24/60.19 inference(modus_ponens,[status(thm)],[32, 28])).
% 93.24/60.19 tff(34,plain,(
% 93.24/60.19 ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 93.24/60.19 inference(skolemize,[status(sab)],[33])).
% 93.24/60.19 tff(35,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 93.24/60.19 inference(modus_ponens,[status(thm)],[34, 27])).
% 93.24/60.19 tff(36,plain,
% 93.24/60.19 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2)))))),
% 93.24/60.19 inference(quant_inst,[status(thm)],[])).
% 93.24/60.19 tff(37,plain,
% 93.24/60.19 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2))))),
% 93.24/60.19 inference(unit_resolution,[status(thm)],[36, 35])).
% 93.24/60.19 tff(38,assumption,((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3)))), introduced(assumption)).
% 93.24/60.19 tff(39,plain,
% 93.24/60.19 (^[B: $i, C: $i, D: $i] : refl((member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C)))) <=> (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C)))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(40,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C)))) <=> ![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))),
% 93.24/60.19 inference(quant_intro,[status(thm)],[39])).
% 93.24/60.19 tff(41,plain,
% 93.24/60.19 (^[B: $i, C: $i, D: $i] : rewrite((member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C)))) <=> (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C)))))),
% 93.24/60.19 inference(bind,[status(th)],[])).
% 93.24/60.19 tff(42,plain,
% 93.24/60.19 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C)))) <=> ![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))),
% 93.24/60.20 inference(quant_intro,[status(thm)],[41])).
% 93.24/60.20 tff(43,plain,
% 93.24/60.20 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C)))) <=> ![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 93.24/60.20 inference(rewrite,[status(thm)],[])).
% 93.24/60.20 tff(44,axiom,(![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','difference_defn')).
% 93.24/60.20 tff(45,plain,
% 93.24/60.20 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 93.24/60.20 inference(modus_ponens,[status(thm)],[44, 43])).
% 93.24/60.20 tff(46,plain,(
% 93.24/60.20 ![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (member(D, B) & (~member(D, C))))),
% 93.24/60.20 inference(skolemize,[status(sab)],[45])).
% 93.24/60.20 tff(47,plain,
% 93.24/60.20 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))),
% 93.24/60.20 inference(modus_ponens,[status(thm)],[46, 42])).
% 93.24/60.20 tff(48,plain,
% 93.24/60.20 (![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))),
% 93.24/60.20 inference(modus_ponens,[status(thm)],[47, 40])).
% 93.24/60.20 tff(49,plain,
% 93.24/60.20 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.24/60.20 inference(rewrite,[status(thm)],[])).
% 93.24/60.20 tff(50,plain,
% 93.24/60.20 ((member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> $false) <=> (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.24/60.20 inference(rewrite,[status(thm)],[])).
% 93.24/60.20 tff(51,plain,
% 93.24/60.20 ((~$true) <=> $false),
% 93.24/60.20 inference(rewrite,[status(thm)],[])).
% 93.24/60.20 tff(52,plain,
% 93.24/60.20 (((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) <=> $true),
% 93.24/60.20 inference(rewrite,[status(thm)],[])).
% 93.24/60.20 tff(53,plain,
% 93.24/60.20 ((~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3)))) <=> (~$true)),
% 93.24/60.20 inference(monotonicity,[status(thm)],[52])).
% 93.24/60.20 tff(54,plain,
% 93.24/60.20 ((~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3)))) <=> $false),
% 93.24/60.20 inference(transitivity,[status(thm)],[53, 51])).
% 93.24/60.20 tff(55,plain,
% 93.24/60.20 ((member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))))) <=> (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> $false)),
% 93.24/60.20 inference(monotonicity,[status(thm)],[54])).
% 93.37/60.20 tff(56,plain,
% 93.37/60.20 ((member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))))) <=> (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.20 inference(transitivity,[status(thm)],[55, 50])).
% 93.37/60.20 tff(57,plain,
% 93.37/60.20 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.20 inference(monotonicity,[status(thm)],[56])).
% 93.37/60.20 tff(58,plain,
% 93.37/60.20 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.20 inference(transitivity,[status(thm)],[57, 49])).
% 93.37/60.20 tff(59,plain,
% 93.37/60.20 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, C!3)))))),
% 93.37/60.20 inference(quant_inst,[status(thm)],[])).
% 93.37/60.20 tff(60,plain,
% 93.37/60.20 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.20 inference(modus_ponens,[status(thm)],[59, 58])).
% 93.37/60.20 tff(61,plain,
% 93.37/60.20 (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[60, 48])).
% 93.37/60.20 tff(62,plain,
% 93.37/60.20 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))))),
% 93.37/60.20 inference(quant_inst,[status(thm)],[])).
% 93.37/60.20 tff(63,plain,
% 93.37/60.20 (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[62, 48])).
% 93.37/60.20 tff(64,assumption,(~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))), introduced(assumption)).
% 93.37/60.20 tff(65,plain,
% 93.37/60.20 (((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.37/60.20 inference(tautology,[status(thm)],[])).
% 93.37/60.20 tff(66,plain,
% 93.37/60.20 (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[65, 64])).
% 93.37/60.20 tff(67,plain,
% 93.37/60.20 (((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)),
% 93.37/60.20 inference(tautology,[status(thm)],[])).
% 93.37/60.20 tff(68,plain,
% 93.37/60.20 (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[67, 64])).
% 93.37/60.20 tff(69,plain,
% 93.37/60.20 ((member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), D!2)) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))),
% 93.37/60.20 inference(tautology,[status(thm)],[])).
% 93.37/60.20 tff(70,plain,
% 93.37/60.20 (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), D!2)),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[69, 68])).
% 93.37/60.20 tff(71,assumption,(~(member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), D!2)))), introduced(assumption)).
% 93.37/60.20 tff(72,plain,
% 93.37/60.20 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), D!2)))),
% 93.37/60.20 inference(quant_inst,[status(thm)],[])).
% 93.37/60.20 tff(73,plain,
% 93.37/60.20 ($false),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[72, 35, 71])).
% 93.37/60.20 tff(74,plain,(member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), D!2))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.20 tff(75,plain,
% 93.37/60.20 ((~(member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), D!2)))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)) | (~(member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), D!2)))),
% 93.37/60.20 inference(tautology,[status(thm)],[])).
% 93.37/60.20 tff(76,plain,
% 93.37/60.20 (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)) | (~(member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), D!2)))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[75, 74])).
% 93.37/60.20 tff(77,plain,
% 93.37/60.20 ($false),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[76, 70, 66])).
% 93.37/60.20 tff(78,plain,((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.20 tff(79,plain,
% 93.37/60.20 ((~(member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))))) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3)))) | (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))))),
% 93.37/60.20 inference(tautology,[status(thm)],[])).
% 93.37/60.20 tff(80,plain,
% 93.37/60.20 ((~(member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))))) | (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[79, 78])).
% 93.37/60.20 tff(81,plain,
% 93.37/60.20 (~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3)))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[80, 63])).
% 93.37/60.20 tff(82,plain,
% 93.37/60.20 ((~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3)))),
% 93.37/60.20 inference(tautology,[status(thm)],[])).
% 93.37/60.20 tff(83,plain,
% 93.37/60.20 ($false),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[82, 81, 61, 38])).
% 93.37/60.20 tff(84,plain,(~((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.20 tff(85,plain,
% 93.37/60.20 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3)))) | (member(tptp_fun_D_1(difference(B!4, C!3), B!4), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> member(tptp_fun_D_1(difference(B!4, C!3), B!4), difference(C!3, union(D!2, C!3)))))) | (~((difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))))))))),
% 93.37/60.20 inference(quant_inst,[status(thm)],[])).
% 93.37/60.20 tff(86,plain,
% 93.37/60.20 (~((~((~(difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3)))) | (member(tptp_fun_D_1(difference(B!4, C!3), B!4), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> member(tptp_fun_D_1(difference(B!4, C!3), B!4), difference(C!3, union(D!2, C!3)))))) | (~((difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3)))))))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[85, 21])).
% 93.37/60.20 tff(87,plain,
% 93.37/60.20 (((~((~(difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3)))) | (member(tptp_fun_D_1(difference(B!4, C!3), B!4), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> member(tptp_fun_D_1(difference(B!4, C!3), B!4), difference(C!3, union(D!2, C!3)))))) | (~((difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))))))) | ((difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.20 inference(tautology,[status(thm)],[])).
% 93.37/60.20 tff(88,plain,
% 93.37/60.20 ((difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[87, 86])).
% 93.37/60.20 tff(89,plain,
% 93.37/60.20 ((~((difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3)))))) | (difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))))),
% 93.37/60.20 inference(tautology,[status(thm)],[])).
% 93.37/60.20 tff(90,plain,
% 93.37/60.20 ((difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(C!3, union(D!2, C!3))))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[89, 88])).
% 93.37/60.20 tff(91,plain,
% 93.37/60.20 (difference(difference(B!4, C!3), difference(B!4, C!3)) = difference(C!3, union(D!2, C!3))),
% 93.37/60.20 inference(unit_resolution,[status(thm)],[90, 84])).
% 93.37/60.20 tff(92,plain,
% 93.37/60.20 (difference(C!3, union(D!2, C!3)) = difference(difference(B!4, C!3), difference(B!4, C!3))),
% 93.37/60.20 inference(symmetry,[status(thm)],[91])).
% 93.37/60.20 tff(93,plain,
% 93.37/60.20 (union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.20 inference(monotonicity,[status(thm)],[92])).
% 93.37/60.20 tff(94,plain,
% 93.37/60.20 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.20 inference(monotonicity,[status(thm)],[93])).
% 93.37/60.20 tff(95,plain,
% 93.37/60.20 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.20 inference(symmetry,[status(thm)],[94])).
% 93.37/60.20 tff(96,plain,
% 93.37/60.20 (^[B: $i, C: $i] : refl((union(B, C) = union(C, B)) <=> (union(B, C) = union(C, B)))),
% 93.37/60.20 inference(bind,[status(th)],[])).
% 93.37/60.20 tff(97,plain,
% 93.37/60.20 (![B: $i, C: $i] : (union(B, C) = union(C, B)) <=> ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 93.37/60.20 inference(quant_intro,[status(thm)],[96])).
% 93.37/60.20 tff(98,plain,
% 93.37/60.20 (![B: $i, C: $i] : (union(B, C) = union(C, B)) <=> ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 93.37/60.20 inference(rewrite,[status(thm)],[])).
% 93.37/60.20 tff(99,axiom,(![B: $i, C: $i] : (union(B, C) = union(C, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','commutativity_of_union')).
% 93.37/60.21 tff(100,plain,
% 93.37/60.21 (![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 93.37/60.21 inference(modus_ponens,[status(thm)],[99, 98])).
% 93.37/60.21 tff(101,plain,(
% 93.37/60.21 ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 93.37/60.21 inference(skolemize,[status(sab)],[100])).
% 93.37/60.21 tff(102,plain,
% 93.37/60.21 (![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 93.37/60.21 inference(modus_ponens,[status(thm)],[101, 97])).
% 93.37/60.21 tff(103,plain,
% 93.37/60.21 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(C!3, D!2) = union(D!2, C!3))),
% 93.37/60.21 inference(quant_inst,[status(thm)],[])).
% 93.37/60.21 tff(104,plain,
% 93.37/60.21 (union(C!3, D!2) = union(D!2, C!3)),
% 93.37/60.21 inference(unit_resolution,[status(thm)],[103, 102])).
% 93.37/60.21 tff(105,plain,
% 93.37/60.21 (union(D!2, C!3) = union(C!3, D!2)),
% 93.37/60.21 inference(symmetry,[status(thm)],[104])).
% 93.37/60.21 tff(106,plain,
% 93.37/60.21 (difference(B!4, union(D!2, C!3)) = difference(B!4, union(C!3, D!2))),
% 93.37/60.21 inference(monotonicity,[status(thm)],[105])).
% 93.37/60.21 tff(107,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.21 inference(monotonicity,[status(thm)],[106])).
% 93.37/60.21 tff(108,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3)))),
% 93.37/60.21 inference(symmetry,[status(thm)],[107])).
% 93.37/60.21 tff(109,plain,
% 93.37/60.21 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))))),
% 93.37/60.21 inference(quant_inst,[status(thm)],[])).
% 93.37/60.21 tff(110,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.21 inference(unit_resolution,[status(thm)],[109, 48])).
% 93.37/60.21 tff(111,plain,
% 93.37/60.21 (difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.21 inference(monotonicity,[status(thm)],[92])).
% 93.37/60.21 tff(112,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.21 inference(monotonicity,[status(thm)],[111])).
% 93.37/60.21 tff(113,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.21 inference(symmetry,[status(thm)],[112])).
% 93.37/60.21 tff(114,assumption,((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), introduced(assumption)).
% 93.37/60.21 tff(115,plain,
% 93.37/60.21 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.21 inference(monotonicity,[status(thm)],[113])).
% 93.37/60.21 tff(116,assumption,(~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), introduced(assumption)).
% 93.37/60.21 tff(117,plain,
% 93.37/60.21 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.21 inference(modus_ponens,[status(thm)],[116, 115])).
% 93.37/60.21 tff(118,plain,
% 93.37/60.21 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))))),
% 93.37/60.21 inference(quant_inst,[status(thm)],[])).
% 93.37/60.21 tff(119,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))),
% 93.37/60.21 inference(unit_resolution,[status(thm)],[118, 48])).
% 93.37/60.21 tff(120,plain,
% 93.37/60.21 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.21 inference(tautology,[status(thm)],[])).
% 93.37/60.21 tff(121,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.21 inference(unit_resolution,[status(thm)],[120, 116, 114])).
% 93.37/60.21 tff(122,plain,
% 93.37/60.21 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))),
% 93.37/60.21 inference(tautology,[status(thm)],[])).
% 93.37/60.21 tff(123,plain,
% 93.37/60.21 (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))),
% 93.37/60.21 inference(unit_resolution,[status(thm)],[122, 121, 119])).
% 93.37/60.21 tff(124,plain,
% 93.37/60.21 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.21 inference(tautology,[status(thm)],[])).
% 93.37/60.21 tff(125,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.21 inference(unit_resolution,[status(thm)],[124, 123])).
% 93.37/60.21 tff(126,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))),
% 93.37/60.21 inference(monotonicity,[status(thm)],[91])).
% 93.37/60.21 tff(127,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.21 inference(symmetry,[status(thm)],[126])).
% 93.37/60.21 tff(128,assumption,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))), introduced(assumption)).
% 93.37/60.21 tff(129,plain,
% 93.37/60.21 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.21 inference(modus_ponens,[status(thm)],[128, 127])).
% 93.37/60.21 tff(130,plain,
% 93.37/60.21 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.21 inference(rewrite,[status(thm)],[])).
% 93.37/60.21 tff(131,plain,
% 93.37/60.21 ((member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> $false) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.21 inference(rewrite,[status(thm)],[])).
% 93.37/60.21 tff(132,plain,
% 93.37/60.21 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) <=> $true),
% 93.37/60.21 inference(rewrite,[status(thm)],[])).
% 93.37/60.21 tff(133,plain,
% 93.37/60.21 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3)))) <=> (~$true)),
% 93.37/60.21 inference(monotonicity,[status(thm)],[132])).
% 93.37/60.21 tff(134,plain,
% 93.37/60.21 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3)))) <=> $false),
% 93.37/60.21 inference(transitivity,[status(thm)],[133, 51])).
% 93.37/60.21 tff(135,plain,
% 93.37/60.21 ((member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))))) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> $false)),
% 93.37/60.21 inference(monotonicity,[status(thm)],[134])).
% 93.37/60.21 tff(136,plain,
% 93.37/60.21 ((member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.21 inference(transitivity,[status(thm)],[135, 131])).
% 93.37/60.21 tff(137,plain,
% 93.37/60.21 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.21 inference(monotonicity,[status(thm)],[136])).
% 93.37/60.21 tff(138,plain,
% 93.37/60.21 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.22 inference(transitivity,[status(thm)],[137, 130])).
% 93.37/60.22 tff(139,plain,
% 93.37/60.22 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, C!3)))))),
% 93.37/60.22 inference(quant_inst,[status(thm)],[])).
% 93.37/60.22 tff(140,plain,
% 93.37/60.22 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.22 inference(modus_ponens,[status(thm)],[139, 138])).
% 93.37/60.22 tff(141,plain,
% 93.37/60.22 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[140, 48])).
% 93.37/60.22 tff(142,plain,
% 93.37/60.22 ($false),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[141, 129])).
% 93.37/60.22 tff(143,plain,(~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.22 tff(144,plain,
% 93.37/60.22 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))),
% 93.37/60.22 inference(tautology,[status(thm)],[])).
% 93.37/60.22 tff(145,plain,
% 93.37/60.22 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[144, 143])).
% 93.37/60.22 tff(146,plain,
% 93.37/60.22 (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[145, 125])).
% 93.37/60.22 tff(147,plain,
% 93.37/60.22 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.22 inference(tautology,[status(thm)],[])).
% 93.37/60.22 tff(148,plain,
% 93.37/60.22 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[147, 146, 110])).
% 93.37/60.22 tff(149,plain,
% 93.37/60.22 ($false),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[148, 117])).
% 93.37/60.22 tff(150,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.22 tff(151,plain,
% 93.37/60.22 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[150, 114])).
% 93.37/60.22 tff(152,plain,
% 93.37/60.22 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.22 inference(modus_ponens,[status(thm)],[151, 113])).
% 93.37/60.22 tff(153,plain,
% 93.37/60.22 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.22 inference(tautology,[status(thm)],[])).
% 93.37/60.22 tff(154,plain,
% 93.37/60.22 (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[153, 152, 110])).
% 93.37/60.22 tff(155,plain,
% 93.37/60.22 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.22 inference(tautology,[status(thm)],[])).
% 93.37/60.22 tff(156,plain,
% 93.37/60.22 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[155, 154])).
% 93.37/60.22 tff(157,plain,
% 93.37/60.22 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3)))),
% 93.37/60.22 inference(modus_ponens,[status(thm)],[156, 108])).
% 93.37/60.22 tff(158,plain,
% 93.37/60.22 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), B!4)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)))))),
% 93.37/60.22 inference(quant_inst,[status(thm)],[])).
% 93.37/60.22 tff(159,plain,
% 93.37/60.22 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), B!4)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3))))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[158, 48])).
% 93.37/60.22 tff(160,plain,
% 93.37/60.22 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.22 inference(tautology,[status(thm)],[])).
% 93.37/60.22 tff(161,plain,
% 93.37/60.22 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[160, 151, 114])).
% 93.37/60.22 tff(162,plain,
% 93.37/60.22 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))),
% 93.37/60.22 inference(tautology,[status(thm)],[])).
% 93.37/60.22 tff(163,plain,
% 93.37/60.22 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[162, 161])).
% 93.37/60.22 tff(164,plain,
% 93.37/60.22 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[163, 119])).
% 93.37/60.22 tff(165,plain,
% 93.37/60.22 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)),
% 93.37/60.22 inference(tautology,[status(thm)],[])).
% 93.37/60.22 tff(166,plain,
% 93.37/60.22 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[165, 156, 164])).
% 93.37/60.22 tff(167,plain,
% 93.37/60.22 ((member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))),
% 93.37/60.22 inference(tautology,[status(thm)],[])).
% 93.37/60.22 tff(168,plain,
% 93.37/60.22 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[167, 166])).
% 93.37/60.22 tff(169,assumption,(~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))), introduced(assumption)).
% 93.37/60.22 tff(170,plain,
% 93.37/60.22 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))),
% 93.37/60.22 inference(quant_inst,[status(thm)],[])).
% 93.37/60.22 tff(171,plain,
% 93.37/60.22 ($false),
% 93.37/60.22 inference(unit_resolution,[status(thm)],[170, 35, 169])).
% 93.37/60.22 tff(172,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.23 tff(173,plain,
% 93.37/60.23 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)) | (~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))),
% 93.37/60.23 inference(tautology,[status(thm)],[])).
% 93.37/60.23 tff(174,plain,
% 93.37/60.23 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)) | (~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[173, 172])).
% 93.37/60.23 tff(175,plain,
% 93.37/60.23 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[174, 168])).
% 93.37/60.23 tff(176,plain,
% 93.37/60.23 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), B!4)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)))),
% 93.37/60.23 inference(tautology,[status(thm)],[])).
% 93.37/60.23 tff(177,plain,
% 93.37/60.23 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), B!4)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[176, 175])).
% 93.37/60.23 tff(178,plain,
% 93.37/60.23 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), B!4)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3)))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), B!4)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3))))),
% 93.37/60.23 inference(tautology,[status(thm)],[])).
% 93.37/60.23 tff(179,plain,
% 93.37/60.23 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), B!4)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(D!2, C!3)))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3))))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[178, 177])).
% 93.37/60.23 tff(180,plain,
% 93.37/60.23 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(D!2, C!3)))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[179, 159])).
% 93.37/60.23 tff(181,plain,
% 93.37/60.23 ($false),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[180, 157])).
% 93.37/60.23 tff(182,plain,(~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.23 tff(183,plain,
% 93.37/60.23 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))))),
% 93.37/60.23 inference(quant_inst,[status(thm)],[])).
% 93.37/60.23 tff(184,plain,
% 93.37/60.23 (~((~((~(difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[183, 21])).
% 93.37/60.23 tff(185,plain,
% 93.37/60.23 (((~((~(difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))) | ((difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))),
% 93.37/60.23 inference(tautology,[status(thm)],[])).
% 93.37/60.23 tff(186,plain,
% 93.37/60.23 ((difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[185, 184])).
% 93.37/60.23 tff(187,plain,
% 93.37/60.23 ((~((difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.23 inference(tautology,[status(thm)],[])).
% 93.37/60.23 tff(188,plain,
% 93.37/60.23 ((difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[187, 186])).
% 93.37/60.23 tff(189,plain,
% 93.37/60.23 (difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[188, 182])).
% 93.37/60.23 tff(190,plain,
% 93.37/60.23 (tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)) = tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.23 inference(monotonicity,[status(thm)],[189])).
% 93.37/60.23 tff(191,plain,
% 93.37/60.23 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.23 inference(monotonicity,[status(thm)],[190])).
% 93.37/60.23 tff(192,assumption,((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), introduced(assumption)).
% 93.37/60.23 tff(193,plain,
% 93.37/60.23 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) = union(difference(difference(B!4, C!3), difference(B!4, C!3)), difference(B!4, union(C!3, D!2))))),
% 93.37/60.23 inference(quant_inst,[status(thm)],[])).
% 93.37/60.23 tff(194,plain,
% 93.37/60.23 (union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) = union(difference(difference(B!4, C!3), difference(B!4, C!3)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.23 inference(unit_resolution,[status(thm)],[193, 102])).
% 93.37/60.23 tff(195,plain,
% 93.37/60.23 (union(difference(difference(B!4, C!3), difference(B!4, C!3)), difference(B!4, union(C!3, D!2))) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.23 inference(symmetry,[status(thm)],[194])).
% 93.37/60.23 tff(196,plain,
% 93.37/60.23 (union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2))) = union(difference(difference(B!4, C!3), difference(B!4, C!3)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.23 inference(monotonicity,[status(thm)],[92])).
% 93.37/60.23 tff(197,plain,
% 93.37/60.23 (union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2))) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.23 inference(transitivity,[status(thm)],[196, 195])).
% 93.37/60.23 tff(198,plain,
% 93.37/60.23 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.23 inference(monotonicity,[status(thm)],[197])).
% 93.37/60.23 tff(199,plain,
% 93.37/60.23 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2))))),
% 93.37/60.23 inference(symmetry,[status(thm)],[198])).
% 93.37/60.23 tff(200,plain,
% 93.37/60.23 ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2)))))),
% 93.37/60.23 inference(monotonicity,[status(thm)],[199])).
% 93.37/60.23 tff(201,assumption,(~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), introduced(assumption)).
% 93.37/60.23 tff(202,plain,
% 93.37/60.23 (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2))))),
% 93.37/60.23 inference(modus_ponens,[status(thm)],[201, 200])).
% 93.37/60.23 tff(203,plain,
% 93.37/60.23 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2)))) <=> (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.24 inference(quant_inst,[status(thm)],[])).
% 93.37/60.24 tff(204,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2)))) <=> (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[203, 35])).
% 93.37/60.24 tff(205,plain,
% 93.37/60.24 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))))),
% 93.37/60.24 inference(quant_inst,[status(thm)],[])).
% 93.37/60.24 tff(206,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[205, 48])).
% 93.37/60.24 tff(207,plain,
% 93.37/60.24 ((~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.24 inference(tautology,[status(thm)],[])).
% 93.37/60.24 tff(208,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[207, 201, 192])).
% 93.37/60.24 tff(209,plain,
% 93.37/60.24 ((~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) | (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)))),
% 93.37/60.24 inference(tautology,[status(thm)],[])).
% 93.37/60.24 tff(210,plain,
% 93.37/60.24 (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[209, 208, 206])).
% 93.37/60.24 tff(211,plain,
% 93.37/60.24 (((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), D!2)) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.24 inference(tautology,[status(thm)],[])).
% 93.37/60.24 tff(212,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[211, 210])).
% 93.37/60.24 tff(213,plain,
% 93.37/60.24 ((member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))))),
% 93.37/60.24 inference(tautology,[status(thm)],[])).
% 93.37/60.24 tff(214,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[213, 212])).
% 93.37/60.24 tff(215,plain,
% 93.37/60.24 ((~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2)))) <=> (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2)))) | (~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.24 inference(tautology,[status(thm)],[])).
% 93.37/60.24 tff(216,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(C!3, union(D!2, C!3)), difference(B!4, union(C!3, D!2))))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[215, 214, 204])).
% 93.37/60.24 tff(217,plain,
% 93.37/60.24 ($false),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[216, 202])).
% 93.37/60.24 tff(218,plain,(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.24 tff(219,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[218, 192])).
% 93.37/60.24 tff(220,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.24 inference(modus_ponens,[status(thm)],[219, 191])).
% 93.37/60.24 tff(221,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.24 inference(modus_ponens,[status(thm)],[220, 95])).
% 93.37/60.24 tff(222,plain,
% 93.37/60.24 (tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) = tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.24 inference(symmetry,[status(thm)],[190])).
% 93.37/60.24 tff(223,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.24 inference(monotonicity,[status(thm)],[222])).
% 93.37/60.24 tff(224,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.24 inference(symmetry,[status(thm)],[223])).
% 93.37/60.24 tff(225,plain,
% 93.37/60.24 ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) <=> (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2))))),
% 93.37/60.24 inference(monotonicity,[status(thm)],[224])).
% 93.37/60.24 tff(226,plain,
% 93.37/60.24 ((~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.24 inference(tautology,[status(thm)],[])).
% 93.37/60.24 tff(227,plain,
% 93.37/60.24 (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[226, 219, 192])).
% 93.37/60.24 tff(228,assumption,(difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), introduced(assumption)).
% 93.37/60.24 tff(229,plain,
% 93.37/60.24 (difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) = difference(difference(B!4, union(C!3, D!2)), D!2)),
% 93.37/60.24 inference(symmetry,[status(thm)],[228])).
% 93.37/60.24 tff(230,plain,
% 93.37/60.24 (difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))) = difference(difference(B!4, union(C!3, D!2)), D!2)),
% 93.37/60.24 inference(transitivity,[status(thm)],[111, 229])).
% 93.37/60.24 tff(231,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.24 inference(monotonicity,[status(thm)],[230])).
% 93.37/60.24 tff(232,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.24 inference(symmetry,[status(thm)],[231])).
% 93.37/60.24 tff(233,plain,
% 93.37/60.24 ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.24 inference(monotonicity,[status(thm)],[232])).
% 93.37/60.24 tff(234,assumption,(~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))), introduced(assumption)).
% 93.37/60.24 tff(235,plain,
% 93.37/60.24 (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.24 inference(modus_ponens,[status(thm)],[234, 233])).
% 93.37/60.24 tff(236,plain,
% 93.37/60.24 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))))),
% 93.37/60.24 inference(quant_inst,[status(thm)],[])).
% 93.37/60.24 tff(237,plain,
% 93.37/60.24 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.24 inference(unit_resolution,[status(thm)],[236, 48])).
% 93.37/60.24 tff(238,assumption,(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))), introduced(assumption)).
% 93.37/60.24 tff(239,plain,
% 93.37/60.24 (tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) = tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.24 inference(monotonicity,[status(thm)],[229])).
% 93.37/60.24 tff(240,plain,
% 93.37/60.24 (tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)) = tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.25 inference(symmetry,[status(thm)],[239])).
% 93.37/60.25 tff(241,plain,
% 93.37/60.25 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))),
% 93.37/60.25 inference(monotonicity,[status(thm)],[240])).
% 93.37/60.25 tff(242,plain,
% 93.37/60.25 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))),
% 93.37/60.25 inference(symmetry,[status(thm)],[241])).
% 93.37/60.25 tff(243,plain,
% 93.37/60.25 ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))) <=> (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.25 inference(monotonicity,[status(thm)],[242])).
% 93.37/60.25 tff(244,plain,
% 93.37/60.25 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))),
% 93.37/60.25 inference(monotonicity,[status(thm)],[91])).
% 93.37/60.25 tff(245,plain,
% 93.37/60.25 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.25 inference(symmetry,[status(thm)],[244])).
% 93.37/60.25 tff(246,assumption,(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))), introduced(assumption)).
% 93.37/60.25 tff(247,plain,
% 93.37/60.25 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.25 inference(modus_ponens,[status(thm)],[246, 245])).
% 93.37/60.25 tff(248,plain,
% 93.37/60.25 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.25 inference(rewrite,[status(thm)],[])).
% 93.37/60.25 tff(249,plain,
% 93.37/60.25 ((member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> $false) <=> (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.25 inference(rewrite,[status(thm)],[])).
% 93.37/60.25 tff(250,plain,
% 93.37/60.25 (((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) <=> $true),
% 93.37/60.25 inference(rewrite,[status(thm)],[])).
% 93.37/60.25 tff(251,plain,
% 93.37/60.25 ((~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))) <=> (~$true)),
% 93.37/60.25 inference(monotonicity,[status(thm)],[250])).
% 93.37/60.25 tff(252,plain,
% 93.37/60.25 ((~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))) <=> $false),
% 93.37/60.25 inference(transitivity,[status(thm)],[251, 51])).
% 93.37/60.25 tff(253,plain,
% 93.37/60.25 ((member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))))) <=> (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> $false)),
% 93.37/60.25 inference(monotonicity,[status(thm)],[252])).
% 93.37/60.25 tff(254,plain,
% 93.37/60.25 ((member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))))) <=> (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.25 inference(transitivity,[status(thm)],[253, 249])).
% 93.37/60.25 tff(255,plain,
% 93.37/60.25 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.25 inference(monotonicity,[status(thm)],[254])).
% 93.37/60.25 tff(256,plain,
% 93.37/60.25 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.25 inference(transitivity,[status(thm)],[255, 248])).
% 93.37/60.25 tff(257,plain,
% 93.37/60.25 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))))),
% 93.37/60.25 inference(quant_inst,[status(thm)],[])).
% 93.37/60.25 tff(258,plain,
% 93.37/60.25 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.25 inference(modus_ponens,[status(thm)],[257, 256])).
% 93.37/60.25 tff(259,plain,
% 93.37/60.25 (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.25 inference(unit_resolution,[status(thm)],[258, 48])).
% 93.37/60.25 tff(260,plain,
% 93.37/60.25 ($false),
% 93.37/60.25 inference(unit_resolution,[status(thm)],[259, 247])).
% 93.37/60.25 tff(261,plain,(~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.25 tff(262,plain,
% 93.37/60.25 (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))),
% 93.37/60.25 inference(modus_ponens,[status(thm)],[261, 243])).
% 93.37/60.25 tff(263,plain,
% 93.37/60.25 ((~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))),
% 93.37/60.25 inference(tautology,[status(thm)],[])).
% 93.37/60.25 tff(264,plain,
% 93.37/60.25 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.25 inference(unit_resolution,[status(thm)],[263, 262, 238])).
% 93.37/60.25 tff(265,plain,
% 93.37/60.25 ((~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))),
% 93.37/60.25 inference(tautology,[status(thm)],[])).
% 93.37/60.25 tff(266,plain,
% 93.37/60.25 ((~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))))),
% 93.37/60.25 inference(unit_resolution,[status(thm)],[265, 262])).
% 93.37/60.25 tff(267,plain,
% 93.37/60.25 (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.25 inference(unit_resolution,[status(thm)],[266, 264])).
% 93.37/60.25 tff(268,plain,
% 93.37/60.25 ((~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.25 inference(tautology,[status(thm)],[])).
% 93.37/60.25 tff(269,plain,
% 93.37/60.25 (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.25 inference(unit_resolution,[status(thm)],[268, 267, 237])).
% 93.37/60.25 tff(270,plain,
% 93.37/60.25 ($false),
% 93.37/60.25 inference(unit_resolution,[status(thm)],[269, 235])).
% 93.37/60.25 tff(271,plain,((~(difference(difference(B!4, union(C!3, D!2)), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2)) | (~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.25 tff(272,plain,
% 93.37/60.25 (~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[271, 227, 189])).
% 93.37/60.26 tff(273,plain,
% 93.37/60.26 (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(B!4, union(C!3, D!2)))),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[213, 272])).
% 93.37/60.26 tff(274,plain,
% 93.37/60.26 (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.26 inference(modus_ponens,[status(thm)],[273, 225])).
% 93.37/60.26 tff(275,plain,
% 93.37/60.26 ((~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2))))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.26 inference(tautology,[status(thm)],[])).
% 93.37/60.26 tff(276,plain,
% 93.37/60.26 ((~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2))))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[275, 261])).
% 93.37/60.26 tff(277,plain,
% 93.37/60.26 (~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2))))),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[276, 274])).
% 93.37/60.26 tff(278,plain,
% 93.37/60.26 ((~(member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2)))))) | (~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))) | (member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, union(C!3, D!2))))),
% 93.37/60.26 inference(tautology,[status(thm)],[])).
% 93.37/60.26 tff(279,plain,
% 93.37/60.26 ($false),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[278, 277, 221, 37])).
% 93.37/60.26 tff(280,plain,(~((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.26 tff(281,plain,
% 93.37/60.26 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))))),
% 93.37/60.26 inference(quant_inst,[status(thm)],[])).
% 93.37/60.26 tff(282,plain,
% 93.37/60.26 (~((~((~(difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))))),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[281, 21])).
% 93.37/60.26 tff(283,plain,
% 93.37/60.26 (((~((~(difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(difference(C!3, union(D!2, C!3)), difference(B!4, C!3)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))) | ((difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))),
% 93.37/60.26 inference(tautology,[status(thm)],[])).
% 93.37/60.26 tff(284,plain,
% 93.37/60.26 ((difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[283, 282])).
% 93.37/60.26 tff(285,plain,
% 93.37/60.26 ((~((difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.26 inference(tautology,[status(thm)],[])).
% 93.37/60.26 tff(286,plain,
% 93.37/60.26 ((difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> member(tptp_fun_D_1(union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, union(C!3, D!2)), D!2)), union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[285, 284])).
% 93.37/60.26 tff(287,plain,
% 93.37/60.26 (difference(difference(B!4, union(C!3, D!2)), D!2) = union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[286, 280])).
% 93.37/60.26 tff(288,plain,
% 93.37/60.26 (union(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) = difference(difference(B!4, union(C!3, D!2)), D!2)),
% 93.37/60.26 inference(symmetry,[status(thm)],[287])).
% 93.37/60.26 tff(289,plain,
% 93.37/60.26 (union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))) = difference(difference(B!4, union(C!3, D!2)), D!2)),
% 93.37/60.26 inference(transitivity,[status(thm)],[93, 288])).
% 93.37/60.26 tff(290,plain,
% 93.37/60.26 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.26 inference(monotonicity,[status(thm)],[289])).
% 93.37/60.26 tff(291,plain,
% 93.37/60.26 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.26 inference(symmetry,[status(thm)],[290])).
% 93.37/60.26 tff(292,plain,
% 93.37/60.26 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.26 inference(monotonicity,[status(thm)],[291])).
% 93.37/60.26 tff(293,plain,
% 93.37/60.26 (difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) = difference(difference(B!4, union(C!3, D!2)), D!2)),
% 93.37/60.26 inference(symmetry,[status(thm)],[189])).
% 93.37/60.26 tff(294,plain,
% 93.37/60.26 (tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))) = tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2)))),
% 93.37/60.26 inference(monotonicity,[status(thm)],[293])).
% 93.37/60.26 tff(295,plain,
% 93.37/60.26 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.26 inference(monotonicity,[status(thm)],[294, 293])).
% 93.37/60.26 tff(296,plain,
% 93.37/60.26 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2)))),
% 93.37/60.26 inference(monotonicity,[status(thm)],[295])).
% 93.37/60.26 tff(297,assumption,((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), introduced(assumption)).
% 93.37/60.26 tff(298,plain,
% 93.37/60.26 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.26 inference(monotonicity,[status(thm)],[294])).
% 93.37/60.26 tff(299,plain,
% 93.37/60.26 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.26 inference(symmetry,[status(thm)],[298])).
% 93.37/60.26 tff(300,plain,
% 93.37/60.26 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.26 inference(symmetry,[status(thm)],[295])).
% 93.37/60.26 tff(301,plain,
% 93.37/60.26 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.26 inference(monotonicity,[status(thm)],[300])).
% 93.37/60.26 tff(302,assumption,(~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))), introduced(assumption)).
% 93.37/60.26 tff(303,plain,
% 93.37/60.26 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), D!2)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.26 inference(tautology,[status(thm)],[])).
% 93.37/60.26 tff(304,plain,
% 93.37/60.26 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), D!2)),
% 93.37/60.26 inference(unit_resolution,[status(thm)],[303, 302])).
% 93.37/60.26 tff(305,assumption,(~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), D!2))))), introduced(assumption)).
% 93.37/60.26 tff(306,plain,
% 93.37/60.26 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), D!2))))),
% 93.37/60.27 inference(quant_inst,[status(thm)],[])).
% 93.37/60.27 tff(307,plain,
% 93.37/60.27 ($false),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[306, 48, 305])).
% 93.37/60.27 tff(308,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), D!2)))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.27 tff(309,plain,
% 93.37/60.27 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), D!2))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), D!2)))),
% 93.37/60.27 inference(tautology,[status(thm)],[])).
% 93.37/60.27 tff(310,plain,
% 93.37/60.27 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), D!2)))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[309, 308])).
% 93.37/60.27 tff(311,plain,
% 93.37/60.27 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[310, 304])).
% 93.37/60.27 tff(312,plain,
% 93.37/60.27 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.27 inference(modus_ponens,[status(thm)],[311, 301])).
% 93.37/60.27 tff(313,plain,
% 93.37/60.27 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))))),
% 93.37/60.27 inference(monotonicity,[status(thm)],[299])).
% 93.37/60.27 tff(314,plain,
% 93.37/60.27 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.27 inference(modus_ponens,[status(thm)],[302, 313])).
% 93.37/60.27 tff(315,plain,
% 93.37/60.27 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.27 inference(tautology,[status(thm)],[])).
% 93.37/60.27 tff(316,plain,
% 93.37/60.27 ($false),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[315, 314, 312, 297])).
% 93.37/60.27 tff(317,plain,((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.27 tff(318,plain,
% 93.37/60.27 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[317, 297])).
% 93.37/60.27 tff(319,plain,
% 93.37/60.27 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.27 inference(modus_ponens,[status(thm)],[318, 299])).
% 93.37/60.27 tff(320,plain,
% 93.37/60.27 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.27 inference(tautology,[status(thm)],[])).
% 93.37/60.27 tff(321,plain,
% 93.37/60.27 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[320, 319, 297])).
% 93.37/60.27 tff(322,plain,
% 93.37/60.27 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), D!2))),
% 93.37/60.27 inference(modus_ponens,[status(thm)],[321, 296])).
% 93.37/60.27 tff(323,plain,
% 93.37/60.27 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.27 inference(modus_ponens,[status(thm)],[322, 292])).
% 93.37/60.27 tff(324,plain,
% 93.37/60.27 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))))),
% 93.37/60.27 inference(quant_inst,[status(thm)],[])).
% 93.37/60.27 tff(325,plain,
% 93.37/60.27 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[324, 35])).
% 93.37/60.27 tff(326,plain,
% 93.37/60.27 ((member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2))))),
% 93.37/60.27 inference(tautology,[status(thm)],[])).
% 93.37/60.27 tff(327,plain,
% 93.37/60.27 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[326, 318])).
% 93.37/60.27 tff(328,plain,
% 93.37/60.27 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) | (~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))))),
% 93.37/60.27 inference(tautology,[status(thm)],[])).
% 93.37/60.27 tff(329,plain,
% 93.37/60.27 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[328, 327])).
% 93.37/60.27 tff(330,plain,
% 93.37/60.27 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), D!2), difference(B!4, union(C!3, D!2))), union(difference(B!4, union(C!3, D!2)), difference(C!3, union(D!2, C!3))))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[329, 325])).
% 93.37/60.27 tff(331,plain,
% 93.37/60.27 ($false),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[330, 323])).
% 93.37/60.27 tff(332,plain,(~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.27 tff(333,plain,
% 93.37/60.27 ((~((difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.27 inference(tautology,[status(thm)],[])).
% 93.37/60.27 tff(334,plain,
% 93.37/60.27 ((~((difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(B!4, union(C!3, D!2)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(B!4, union(C!3, D!2))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[333, 332])).
% 93.37/60.27 tff(335,plain,
% 93.37/60.27 (difference(B!4, union(C!3, D!2)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[334, 25])).
% 93.37/60.27 tff(336,plain,
% 93.37/60.27 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4)) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))) | (~((union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4) | ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))))))),
% 93.37/60.27 inference(quant_inst,[status(thm)],[])).
% 93.37/60.27 tff(337,plain,
% 93.37/60.27 (~((~((~(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4)) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))) | (~((union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4) | ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[336, 21])).
% 93.37/60.27 tff(338,plain,
% 93.37/60.27 (((~((~(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4)) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))) | (~((union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4) | ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))))) | ((union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4) | ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))),
% 93.37/60.27 inference(tautology,[status(thm)],[])).
% 93.37/60.27 tff(339,plain,
% 93.37/60.27 ((union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4) | ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))),
% 93.37/60.27 inference(unit_resolution,[status(thm)],[338, 337])).
% 93.37/60.27 tff(340,assumption,((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)), introduced(assumption)).
% 93.37/60.27 tff(341,plain,
% 93.37/60.27 (union(B!4, difference(C!3, union(D!2, C!3))) = union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.37/60.27 inference(monotonicity,[status(thm)],[92])).
% 93.37/60.27 tff(342,plain,
% 93.37/60.27 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.27 inference(monotonicity,[status(thm)],[341])).
% 93.37/60.27 tff(343,plain,
% 93.37/60.27 ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3))))) <=> (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.37/60.27 inference(monotonicity,[status(thm)],[342])).
% 93.37/60.27 tff(344,assumption,(~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3))))), introduced(assumption)).
% 93.37/60.27 tff(345,plain,
% 93.37/60.27 (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.27 inference(modus_ponens,[status(thm)],[344, 343])).
% 93.37/60.27 tff(346,plain,
% 93.37/60.27 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))))),
% 93.37/60.27 inference(rewrite,[status(thm)],[])).
% 93.37/60.27 tff(347,plain,
% 93.37/60.27 ((member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.28 inference(rewrite,[status(thm)],[])).
% 93.37/60.28 tff(348,plain,
% 93.37/60.28 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))))),
% 93.37/60.28 inference(monotonicity,[status(thm)],[347])).
% 93.37/60.28 tff(349,plain,
% 93.37/60.28 (((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))))),
% 93.37/60.28 inference(transitivity,[status(thm)],[348, 346])).
% 93.37/60.28 tff(350,plain,
% 93.37/60.28 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))),
% 93.37/60.28 inference(quant_inst,[status(thm)],[])).
% 93.37/60.28 tff(351,plain,
% 93.37/60.28 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.28 inference(modus_ponens,[status(thm)],[350, 349])).
% 93.37/60.28 tff(352,plain,
% 93.37/60.28 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))),
% 93.37/60.28 inference(unit_resolution,[status(thm)],[351, 35])).
% 93.37/60.28 tff(353,plain,
% 93.37/60.28 ((~(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) | (~(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))))),
% 93.37/60.28 inference(tautology,[status(thm)],[])).
% 93.37/60.28 tff(354,plain,
% 93.37/60.28 (~(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))),
% 93.37/60.28 inference(unit_resolution,[status(thm)],[353, 344, 352])).
% 93.37/60.28 tff(355,plain,
% 93.37/60.28 ((member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))),
% 93.37/60.28 inference(tautology,[status(thm)],[])).
% 93.37/60.28 tff(356,plain,
% 93.37/60.28 (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)),
% 93.37/60.28 inference(unit_resolution,[status(thm)],[355, 354])).
% 93.37/60.28 tff(357,plain,
% 93.37/60.28 ((~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)),
% 93.37/60.28 inference(tautology,[status(thm)],[])).
% 93.37/60.28 tff(358,plain,
% 93.37/60.28 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.28 inference(unit_resolution,[status(thm)],[357, 356, 340])).
% 93.37/60.28 tff(359,plain,
% 93.37/60.28 ($false),
% 93.37/60.28 inference(unit_resolution,[status(thm)],[358, 345])).
% 93.37/60.28 tff(360,plain,(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) | (~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))), inference(lemma,lemma(discharge,[]))).
% 93.37/60.28 tff(361,plain,
% 93.37/60.28 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3))))),
% 93.37/60.28 inference(unit_resolution,[status(thm)],[360, 340])).
% 93.37/60.28 tff(362,plain,
% 93.37/60.28 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.37/60.28 inference(modus_ponens,[status(thm)],[361, 342])).
% 93.37/60.28 tff(363,plain,
% 93.37/60.28 ((~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))),
% 93.45/60.28 inference(tautology,[status(thm)],[])).
% 93.45/60.28 tff(364,plain,
% 93.45/60.28 (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)),
% 93.45/60.28 inference(unit_resolution,[status(thm)],[363, 362, 340])).
% 93.45/60.28 tff(365,plain,
% 93.45/60.28 ((~(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3))))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))),
% 93.45/60.28 inference(tautology,[status(thm)],[])).
% 93.45/60.28 tff(366,plain,
% 93.45/60.28 ((~(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(C!3, union(D!2, C!3)))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))),
% 93.45/60.28 inference(unit_resolution,[status(thm)],[365, 361])).
% 93.45/60.28 tff(367,plain,
% 93.45/60.28 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))),
% 93.45/60.28 inference(unit_resolution,[status(thm)],[366, 352])).
% 93.45/60.28 tff(368,plain,
% 93.45/60.28 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))),
% 93.45/60.28 inference(monotonicity,[status(thm)],[91])).
% 93.45/60.28 tff(369,plain,
% 93.45/60.28 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.45/60.28 inference(symmetry,[status(thm)],[368])).
% 93.45/60.28 tff(370,assumption,(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))), introduced(assumption)).
% 93.45/60.28 tff(371,plain,
% 93.45/60.28 (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.45/60.28 inference(modus_ponens,[status(thm)],[370, 369])).
% 93.45/60.28 tff(372,plain,
% 93.45/60.28 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.28 inference(rewrite,[status(thm)],[])).
% 93.45/60.28 tff(373,plain,
% 93.45/60.28 ((member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> $false) <=> (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.28 inference(rewrite,[status(thm)],[])).
% 93.45/60.28 tff(374,plain,
% 93.45/60.28 (((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) <=> $true),
% 93.45/60.28 inference(rewrite,[status(thm)],[])).
% 93.45/60.28 tff(375,plain,
% 93.45/60.28 ((~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))) <=> (~$true)),
% 93.45/60.28 inference(monotonicity,[status(thm)],[374])).
% 93.45/60.28 tff(376,plain,
% 93.45/60.28 ((~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))) <=> $false),
% 93.45/60.28 inference(transitivity,[status(thm)],[375, 51])).
% 93.45/60.28 tff(377,plain,
% 93.45/60.28 ((member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))))) <=> (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> $false)),
% 93.45/60.28 inference(monotonicity,[status(thm)],[376])).
% 93.45/60.28 tff(378,plain,
% 93.45/60.28 ((member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))))) <=> (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.28 inference(transitivity,[status(thm)],[377, 373])).
% 93.45/60.28 tff(379,plain,
% 93.45/60.28 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.28 inference(monotonicity,[status(thm)],[378])).
% 93.45/60.28 tff(380,plain,
% 93.45/60.28 (((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.28 inference(transitivity,[status(thm)],[379, 372])).
% 93.45/60.28 tff(381,plain,
% 93.45/60.28 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))) <=> (~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(B!4, C!3)))))),
% 93.45/60.28 inference(quant_inst,[status(thm)],[])).
% 93.45/60.28 tff(382,plain,
% 93.45/60.28 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.28 inference(modus_ponens,[status(thm)],[381, 380])).
% 93.45/60.28 tff(383,plain,
% 93.45/60.28 (~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.45/60.28 inference(unit_resolution,[status(thm)],[382, 48])).
% 93.45/60.28 tff(384,plain,
% 93.45/60.28 ($false),
% 93.45/60.28 inference(unit_resolution,[status(thm)],[383, 371])).
% 93.45/60.28 tff(385,plain,(~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.28 tff(386,plain,
% 93.45/60.28 ((~(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3)))),
% 93.45/60.28 inference(tautology,[status(thm)],[])).
% 93.45/60.28 tff(387,plain,
% 93.45/60.28 ((~(member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(C!3, union(D!2, C!3))))) | member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)),
% 93.45/60.28 inference(unit_resolution,[status(thm)],[386, 385])).
% 93.45/60.28 tff(388,plain,
% 93.45/60.28 ($false),
% 93.45/60.28 inference(unit_resolution,[status(thm)],[387, 367, 364])).
% 93.45/60.28 tff(389,plain,(~((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.28 tff(390,plain,
% 93.45/60.28 ((~((union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4) | ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))) | (union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4) | ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4))),
% 93.45/60.28 inference(tautology,[status(thm)],[])).
% 93.45/60.28 tff(391,plain,
% 93.45/60.28 ((~((union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4) | ((~member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> member(tptp_fun_D_1(B!4, union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), B!4)))) | (union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4)),
% 93.45/60.28 inference(unit_resolution,[status(thm)],[390, 389])).
% 93.45/60.29 tff(392,plain,
% 93.45/60.29 (union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))) = B!4),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[391, 339])).
% 93.45/60.29 tff(393,plain,
% 93.45/60.29 (difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)) = difference(B!4, union(C!3, D!2))),
% 93.45/60.29 inference(monotonicity,[status(thm)],[392, 105])).
% 93.45/60.29 tff(394,plain,
% 93.45/60.29 (difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))),
% 93.45/60.29 inference(transitivity,[status(thm)],[393, 335])).
% 93.45/60.29 tff(395,plain,
% 93.45/60.29 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.29 inference(monotonicity,[status(thm)],[394])).
% 93.45/60.29 tff(396,plain,
% 93.45/60.29 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.45/60.29 inference(symmetry,[status(thm)],[395])).
% 93.45/60.29 tff(397,assumption,(~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), introduced(assumption)).
% 93.45/60.29 tff(398,plain,
% 93.45/60.29 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))))),
% 93.45/60.29 inference(monotonicity,[status(thm)],[396])).
% 93.45/60.29 tff(399,plain,
% 93.45/60.29 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[397, 398])).
% 93.45/60.29 tff(400,assumption,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))), introduced(assumption)).
% 93.45/60.29 tff(401,plain,
% 93.45/60.29 ($false),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[400, 399])).
% 93.45/60.29 tff(402,plain,((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.29 tff(403,plain,
% 93.45/60.29 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[402, 397])).
% 93.45/60.29 tff(404,assumption,(~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))))), introduced(assumption)).
% 93.45/60.29 tff(405,plain,
% 93.45/60.29 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))))),
% 93.45/60.29 inference(quant_inst,[status(thm)],[])).
% 93.45/60.29 tff(406,plain,
% 93.45/60.29 ($false),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[405, 48, 404])).
% 93.45/60.29 tff(407,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.29 tff(408,plain,
% 93.45/60.29 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))),
% 93.45/60.29 inference(tautology,[status(thm)],[])).
% 93.45/60.29 tff(409,plain,
% 93.45/60.29 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[408, 407])).
% 93.45/60.29 tff(410,plain,
% 93.45/60.29 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[409, 403])).
% 93.45/60.29 tff(411,plain,
% 93.45/60.29 (difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3) = difference(B!4, C!3)),
% 93.45/60.29 inference(monotonicity,[status(thm)],[392])).
% 93.45/60.29 tff(412,plain,
% 93.45/60.29 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))),
% 93.45/60.29 inference(monotonicity,[status(thm)],[411])).
% 93.45/60.29 tff(413,plain,
% 93.45/60.29 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3)) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))),
% 93.45/60.29 inference(symmetry,[status(thm)],[412])).
% 93.45/60.29 tff(414,plain,
% 93.45/60.29 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))))),
% 93.45/60.29 inference(quant_inst,[status(thm)],[])).
% 93.45/60.29 tff(415,plain,
% 93.45/60.29 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[414, 48])).
% 93.45/60.29 tff(416,plain,
% 93.45/60.29 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(union(D!2, difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), D!2)) <=> member(tptp_fun_D_1(union(D!2, difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))))),
% 93.45/60.29 inference(quant_inst,[status(thm)],[])).
% 93.45/60.29 tff(417,plain,
% 93.45/60.29 (~((~((~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(union(D!2, difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), D!2)) <=> member(tptp_fun_D_1(union(D!2, difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))))),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[416, 21])).
% 93.45/60.29 tff(418,plain,
% 93.45/60.29 (((~((~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_1(union(D!2, difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, C!3), D!2)) <=> member(tptp_fun_D_1(union(D!2, difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3)))), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))) | ((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))),
% 93.45/60.29 inference(tautology,[status(thm)],[])).
% 93.45/60.29 tff(419,plain,
% 93.45/60.29 ((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[418, 417])).
% 93.45/60.29 tff(420,plain,
% 93.45/60.29 (difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))) = difference(B!4, union(C!3, D!2))),
% 93.45/60.29 inference(symmetry,[status(thm)],[335])).
% 93.45/60.29 tff(421,plain,
% 93.45/60.29 ((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) <=> (difference(difference(B!4, C!3), D!2) = difference(B!4, union(C!3, D!2)))),
% 93.45/60.29 inference(monotonicity,[status(thm)],[420])).
% 93.45/60.29 tff(422,plain,
% 93.45/60.29 ((difference(difference(B!4, C!3), D!2) = difference(B!4, union(C!3, D!2))) <=> (difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.29 inference(symmetry,[status(thm)],[421])).
% 93.45/60.29 tff(423,plain,
% 93.45/60.29 ((~(difference(difference(B!4, C!3), D!2) = difference(B!4, union(C!3, D!2)))) <=> (~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.29 inference(monotonicity,[status(thm)],[422])).
% 93.45/60.29 tff(424,plain,
% 93.45/60.29 ((~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))) <=> (~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D))))),
% 93.45/60.29 inference(rewrite,[status(thm)],[])).
% 93.45/60.29 tff(425,axiom,(~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_difference_difference_union')).
% 93.45/60.29 tff(426,plain,
% 93.45/60.29 (~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[425, 424])).
% 93.45/60.29 tff(427,plain,
% 93.45/60.29 (~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[426, 424])).
% 93.45/60.29 tff(428,plain,
% 93.45/60.29 (~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[427, 424])).
% 93.45/60.29 tff(429,plain,
% 93.45/60.29 (~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[428, 424])).
% 93.45/60.29 tff(430,plain,
% 93.45/60.29 (~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[429, 424])).
% 93.45/60.29 tff(431,plain,
% 93.45/60.29 (~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[430, 424])).
% 93.45/60.29 tff(432,plain,
% 93.45/60.29 (~![B: $i, C: $i, D: $i] : (difference(difference(B, C), D) = difference(B, union(C, D)))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[431, 424])).
% 93.45/60.29 tff(433,plain,(
% 93.45/60.29 ~(difference(difference(B!4, C!3), D!2) = difference(B!4, union(C!3, D!2)))),
% 93.45/60.29 inference(skolemize,[status(sab)],[432])).
% 93.45/60.29 tff(434,plain,
% 93.45/60.29 (~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.29 inference(modus_ponens,[status(thm)],[433, 423])).
% 93.45/60.29 tff(435,plain,
% 93.45/60.29 ((~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.29 inference(tautology,[status(thm)],[])).
% 93.45/60.29 tff(436,plain,
% 93.45/60.29 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[435, 434, 419])).
% 93.45/60.29 tff(437,plain,
% 93.45/60.29 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.29 inference(monotonicity,[status(thm)],[395])).
% 93.45/60.29 tff(438,plain,
% 93.45/60.29 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))))),
% 93.45/60.29 inference(unit_resolution,[status(thm)],[405, 48])).
% 93.45/60.29 tff(439,assumption,(~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))), introduced(assumption)).
% 93.45/60.29 tff(440,plain,
% 93.45/60.29 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.30 inference(tautology,[status(thm)],[])).
% 93.45/60.30 tff(441,plain,
% 93.45/60.30 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[440, 439])).
% 93.45/60.30 tff(442,plain,
% 93.45/60.30 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))))),
% 93.45/60.30 inference(tautology,[status(thm)],[])).
% 93.45/60.30 tff(443,plain,
% 93.45/60.30 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[442, 441, 438])).
% 93.45/60.30 tff(444,plain,
% 93.45/60.30 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.30 inference(modus_ponens,[status(thm)],[443, 437])).
% 93.45/60.30 tff(445,plain,
% 93.45/60.30 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.30 inference(tautology,[status(thm)],[])).
% 93.45/60.30 tff(446,plain,
% 93.45/60.30 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[445, 444, 436])).
% 93.45/60.30 tff(447,plain,
% 93.45/60.30 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))),
% 93.45/60.30 inference(tautology,[status(thm)],[])).
% 93.45/60.30 tff(448,plain,
% 93.45/60.30 (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[447, 446, 415])).
% 93.45/60.30 tff(449,plain,
% 93.45/60.30 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))),
% 93.45/60.30 inference(tautology,[status(thm)],[])).
% 93.45/60.30 tff(450,plain,
% 93.45/60.30 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[449, 448])).
% 93.45/60.30 tff(451,plain,
% 93.45/60.30 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))),
% 93.45/60.30 inference(modus_ponens,[status(thm)],[450, 413])).
% 93.45/60.30 tff(452,plain,
% 93.45/60.30 ((~![B: $i, C: $i, D: $i] : (member(D, difference(B, C)) <=> (~((~member(D, B)) | member(D, C))))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))))),
% 93.45/60.30 inference(quant_inst,[status(thm)],[])).
% 93.45/60.30 tff(453,plain,
% 93.45/60.30 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[452, 48])).
% 93.45/60.30 tff(454,plain,
% 93.45/60.30 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.30 inference(tautology,[status(thm)],[])).
% 93.45/60.30 tff(455,plain,
% 93.45/60.30 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[454, 439])).
% 93.45/60.30 tff(456,plain,
% 93.45/60.30 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)))),
% 93.45/60.30 inference(tautology,[status(thm)],[])).
% 93.45/60.30 tff(457,plain,
% 93.45/60.30 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[456, 455])).
% 93.45/60.30 tff(458,plain,
% 93.45/60.30 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[457, 453])).
% 93.45/60.30 tff(459,plain,
% 93.45/60.30 ($false),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[458, 451])).
% 93.45/60.30 tff(460,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.30 tff(461,plain,
% 93.45/60.30 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.30 inference(tautology,[status(thm)],[])).
% 93.45/60.30 tff(462,plain,
% 93.45/60.30 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[461, 460])).
% 93.45/60.30 tff(463,plain,
% 93.45/60.30 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[462, 410])).
% 93.45/60.30 tff(464,assumption,(~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))), introduced(assumption)).
% 93.45/60.30 tff(465,plain,
% 93.45/60.30 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[449, 464])).
% 93.45/60.30 tff(466,assumption,(~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))))), introduced(assumption)).
% 93.45/60.30 tff(467,plain,
% 93.45/60.30 ($false),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[414, 48, 466])).
% 93.45/60.30 tff(468,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.30 tff(469,plain,
% 93.45/60.30 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[447, 468])).
% 93.45/60.30 tff(470,plain,
% 93.45/60.30 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[469, 465])).
% 93.45/60.30 tff(471,assumption,((~((~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_0(C!3, B!4), difference(difference(B!4, C!3), D!2)) <=> member(tptp_fun_D_0(C!3, B!4), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))), introduced(assumption)).
% 93.45/60.30 tff(472,plain,
% 93.45/60.30 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_0(C!3, B!4), difference(difference(B!4, C!3), D!2)) <=> member(tptp_fun_D_0(C!3, B!4), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))))),
% 93.45/60.30 inference(quant_inst,[status(thm)],[])).
% 93.45/60.30 tff(473,plain,
% 93.45/60.30 ($false),
% 93.45/60.30 inference(unit_resolution,[status(thm)],[472, 21, 471])).
% 93.45/60.30 tff(474,plain,(~((~((~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_0(C!3, B!4), difference(difference(B!4, C!3), D!2)) <=> member(tptp_fun_D_0(C!3, B!4), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.31 tff(475,plain,
% 93.45/60.31 (((~((~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))) | (member(tptp_fun_D_0(C!3, B!4), difference(difference(B!4, C!3), D!2)) <=> member(tptp_fun_D_0(C!3, B!4), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | (~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))))) | ((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))),
% 93.45/60.31 inference(tautology,[status(thm)],[])).
% 93.45/60.31 tff(476,plain,
% 93.45/60.31 ((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[475, 474])).
% 93.45/60.31 tff(477,assumption,(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))), introduced(assumption)).
% 93.45/60.31 tff(478,plain,
% 93.45/60.31 (difference(difference(B!4, C!3), D!2) = difference(B!4, union(C!3, D!2))),
% 93.45/60.31 inference(transitivity,[status(thm)],[477, 420])).
% 93.45/60.31 tff(479,plain,
% 93.45/60.31 ($false),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[433, 478])).
% 93.45/60.31 tff(480,plain,(~(difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.31 tff(481,plain,
% 93.45/60.31 ((~((difference(difference(B!4, C!3), D!2) = difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))))) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[435, 480])).
% 93.45/60.31 tff(482,plain,
% 93.45/60.31 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[481, 476])).
% 93.45/60.31 tff(483,plain,
% 93.45/60.31 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[445, 482])).
% 93.45/60.31 tff(484,plain,
% 93.45/60.31 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[483, 470])).
% 93.45/60.31 tff(485,plain,
% 93.45/60.31 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.45/60.31 inference(modus_ponens,[status(thm)],[484, 396])).
% 93.45/60.31 tff(486,plain,
% 93.45/60.31 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) <=> (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)))),
% 93.45/60.31 inference(monotonicity,[status(thm)],[413])).
% 93.45/60.31 tff(487,plain,
% 93.45/60.31 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))),
% 93.45/60.31 inference(modus_ponens,[status(thm)],[464, 486])).
% 93.45/60.31 tff(488,assumption,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))), introduced(assumption)).
% 93.45/60.31 tff(489,plain,
% 93.45/60.31 ($false),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[488, 487])).
% 93.45/60.31 tff(490,plain,((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.31 tff(491,plain,
% 93.45/60.31 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[490, 464])).
% 93.45/60.31 tff(492,assumption,(~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))))), introduced(assumption)).
% 93.45/60.31 tff(493,plain,
% 93.45/60.31 ($false),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[452, 48, 492])).
% 93.45/60.31 tff(494,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.31 tff(495,plain,
% 93.45/60.31 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))),
% 93.45/60.31 inference(tautology,[status(thm)],[])).
% 93.45/60.31 tff(496,plain,
% 93.45/60.31 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[495, 494])).
% 93.45/60.31 tff(497,plain,
% 93.45/60.31 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[496, 491])).
% 93.45/60.31 tff(498,plain,
% 93.45/60.31 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)),
% 93.45/60.31 inference(tautology,[status(thm)],[])).
% 93.45/60.31 tff(499,plain,
% 93.45/60.31 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[498, 460])).
% 93.45/60.31 tff(500,plain,
% 93.45/60.31 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[499, 497])).
% 93.45/60.31 tff(501,plain,
% 93.45/60.31 ((member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))),
% 93.45/60.31 inference(tautology,[status(thm)],[])).
% 93.45/60.31 tff(502,plain,
% 93.45/60.31 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[501, 500])).
% 93.45/60.31 tff(503,assumption,(~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))), introduced(assumption)).
% 93.45/60.31 tff(504,plain,
% 93.45/60.31 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))),
% 93.45/60.31 inference(quant_inst,[status(thm)],[])).
% 93.45/60.31 tff(505,plain,
% 93.45/60.31 ($false),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[504, 35, 503])).
% 93.45/60.31 tff(506,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.31 tff(507,plain,
% 93.45/60.31 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)) | (~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))),
% 93.45/60.31 inference(tautology,[status(thm)],[])).
% 93.45/60.31 tff(508,plain,
% 93.45/60.31 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)) | (~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[507, 506])).
% 93.45/60.31 tff(509,plain,
% 93.45/60.31 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.31 inference(unit_resolution,[status(thm)],[508, 502])).
% 93.45/60.31 tff(510,plain,
% 93.45/60.31 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)))),
% 93.45/60.31 inference(tautology,[status(thm)],[])).
% 93.45/60.31 tff(511,plain,
% 93.45/60.31 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[510, 509])).
% 93.45/60.32 tff(512,plain,
% 93.45/60.32 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[442, 407])).
% 93.45/60.32 tff(513,plain,
% 93.45/60.32 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[512, 511])).
% 93.45/60.32 tff(514,plain,
% 93.45/60.32 ($false),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[513, 485])).
% 93.45/60.32 tff(515,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.32 tff(516,assumption,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))), introduced(assumption)).
% 93.45/60.32 tff(517,plain,
% 93.45/60.32 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))),
% 93.45/60.32 inference(modus_ponens,[status(thm)],[516, 413])).
% 93.45/60.32 tff(518,assumption,(~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))), introduced(assumption)).
% 93.45/60.32 tff(519,plain,
% 93.45/60.32 ($false),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[518, 517])).
% 93.45/60.32 tff(520,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3)) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3)))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.32 tff(521,plain,
% 93.45/60.32 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[520, 515])).
% 93.45/60.32 tff(522,plain,
% 93.45/60.32 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), C!3))) | (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[456, 494])).
% 93.45/60.32 tff(523,plain,
% 93.45/60.32 (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[522, 521])).
% 93.45/60.32 tff(524,plain,
% 93.45/60.32 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3))),
% 93.45/60.32 inference(tautology,[status(thm)],[])).
% 93.45/60.32 tff(525,plain,
% 93.45/60.32 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3)),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[524, 523])).
% 93.45/60.32 tff(526,plain,
% 93.45/60.32 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[483, 397])).
% 93.45/60.32 tff(527,plain,
% 93.45/60.32 (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[469, 526])).
% 93.45/60.32 tff(528,plain,
% 93.45/60.32 (((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.32 inference(tautology,[status(thm)],[])).
% 93.45/60.32 tff(529,plain,
% 93.45/60.32 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[528, 527])).
% 93.45/60.32 tff(530,plain,
% 93.45/60.32 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)),
% 93.45/60.32 inference(tautology,[status(thm)],[])).
% 93.45/60.32 tff(531,plain,
% 93.45/60.32 (~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[530, 529, 525])).
% 93.45/60.32 tff(532,plain,
% 93.45/60.32 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3)) <=> (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.32 inference(tautology,[status(thm)],[])).
% 93.45/60.32 tff(533,plain,
% 93.45/60.32 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))) | (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[532, 506])).
% 93.45/60.32 tff(534,plain,
% 93.45/60.32 ($false),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[533, 531, 463])).
% 93.45/60.32 tff(535,plain,(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))))), inference(lemma,lemma(discharge,[]))).
% 93.45/60.32 tff(536,plain,
% 93.45/60.32 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.45/60.32 inference(modus_ponens,[status(thm)],[535, 396])).
% 93.45/60.32 tff(537,plain,
% 93.45/60.32 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) <=> member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.32 inference(tautology,[status(thm)],[])).
% 93.45/60.32 tff(538,plain,
% 93.45/60.32 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3)))))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[537, 482])).
% 93.45/60.32 tff(539,plain,
% 93.45/60.32 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[538, 535])).
% 93.45/60.32 tff(540,plain,
% 93.45/60.32 ((~(member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) <=> (~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.32 inference(tautology,[status(thm)],[])).
% 93.45/60.32 tff(541,plain,
% 93.45/60.32 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(difference(B!4, C!3), D!2)) | ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[540, 468])).
% 93.45/60.32 tff(542,plain,
% 93.45/60.32 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[541, 539])).
% 93.45/60.32 tff(543,plain,
% 93.45/60.32 ((~((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(B!4, C!3))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)),
% 93.45/60.32 inference(tautology,[status(thm)],[])).
% 93.45/60.32 tff(544,plain,
% 93.45/60.32 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)),
% 93.45/60.32 inference(unit_resolution,[status(thm)],[543, 542, 515])).
% 93.45/60.32 tff(545,plain,
% 93.45/60.32 ((member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)) | (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2))),
% 93.45/60.33 inference(tautology,[status(thm)],[])).
% 93.45/60.33 tff(546,plain,
% 93.45/60.33 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), C!3) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), D!2)),
% 93.45/60.33 inference(unit_resolution,[status(thm)],[545, 544])).
% 93.45/60.33 tff(547,plain,
% 93.45/60.33 (member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.33 inference(unit_resolution,[status(thm)],[508, 546])).
% 93.45/60.33 tff(548,plain,
% 93.45/60.33 ((~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))))) | member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), union(D!2, C!3))),
% 93.45/60.33 inference(unit_resolution,[status(thm)],[510, 547])).
% 93.45/60.33 tff(549,plain,
% 93.45/60.33 (~member(tptp_fun_D_1(difference(difference(B!4, union(C!3, D!2)), difference(difference(B!4, C!3), difference(B!4, C!3))), difference(difference(B!4, C!3), D!2)), difference(union(B!4, difference(difference(B!4, C!3), difference(B!4, C!3))), union(D!2, C!3)))),
% 93.45/60.33 inference(unit_resolution,[status(thm)],[512, 548])).
% 93.45/60.33 tff(550,plain,
% 93.45/60.33 ($false),
% 93.45/60.33 inference(unit_resolution,[status(thm)],[549, 536])).
% 93.45/60.33 % SZS output end Proof
%------------------------------------------------------------------------------