TSTP Solution File: SEU106+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SEU106+1 : TPTP v8.1.0. Released v3.2.0.
% 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 07:27:30 EDT 2022
% Result : Theorem 26.10s 17.04s
% Output : Proof 26.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU106+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 09:28:10 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.
% 26.10/17.04 % SZS status Theorem
% 26.10/17.04 % SZS output start Proof
% 26.10/17.04 tff(in_type, type, (
% 26.10/17.04 in: ( $i * $i ) > $o)).
% 26.10/17.04 tff(tptp_fun_A_11_type, type, (
% 26.10/17.04 tptp_fun_A_11: $i)).
% 26.10/17.04 tff(symmetric_difference_type, type, (
% 26.10/17.04 symmetric_difference: ( $i * $i ) > $i)).
% 26.10/17.04 tff(set_union2_type, type, (
% 26.10/17.04 set_union2: ( $i * $i ) > $i)).
% 26.10/17.04 tff(tptp_fun_C_9_type, type, (
% 26.10/17.04 tptp_fun_C_9: $i > $i)).
% 26.10/17.04 tff(tptp_fun_B_10_type, type, (
% 26.10/17.04 tptp_fun_B_10: $i > $i)).
% 26.10/17.04 tff(set_difference_type, type, (
% 26.10/17.04 set_difference: ( $i * $i ) > $i)).
% 26.10/17.04 tff(element_type, type, (
% 26.10/17.04 element: ( $i * $i ) > $o)).
% 26.10/17.04 tff(preboolean_type, type, (
% 26.10/17.04 preboolean: $i > $o)).
% 26.10/17.04 tff(empty_type, type, (
% 26.10/17.04 empty: $i > $o)).
% 26.10/17.04 tff(set_intersection2_type, type, (
% 26.10/17.04 set_intersection2: ( $i * $i ) > $i)).
% 26.10/17.04 tff(1,plain,
% 26.10/17.04 (^[A: $i, B: $i] : refl((symmetric_difference(A, B) = symmetric_difference(B, A)) <=> (symmetric_difference(A, B) = symmetric_difference(B, A)))),
% 26.10/17.04 inference(bind,[status(th)],[])).
% 26.10/17.04 tff(2,plain,
% 26.10/17.04 (![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A)) <=> ![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A))),
% 26.10/17.04 inference(quant_intro,[status(thm)],[1])).
% 26.10/17.04 tff(3,plain,
% 26.10/17.04 (![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A)) <=> ![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A))),
% 26.10/17.04 inference(rewrite,[status(thm)],[])).
% 26.10/17.04 tff(4,axiom,(![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','commutativity_k5_xboole_0')).
% 26.10/17.04 tff(5,plain,
% 26.10/17.04 (![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[4, 3])).
% 26.10/17.04 tff(6,plain,(
% 26.10/17.04 ![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A))),
% 26.10/17.04 inference(skolemize,[status(sab)],[5])).
% 26.10/17.04 tff(7,plain,
% 26.10/17.04 (![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[6, 2])).
% 26.10/17.04 tff(8,plain,
% 26.10/17.04 ((~![A: $i, B: $i] : (symmetric_difference(A, B) = symmetric_difference(B, A))) | (symmetric_difference(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))) = symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))))),
% 26.10/17.04 inference(quant_inst,[status(thm)],[])).
% 26.10/17.04 tff(9,plain,
% 26.10/17.04 (symmetric_difference(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))) = symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))))),
% 26.10/17.04 inference(unit_resolution,[status(thm)],[8, 7])).
% 26.10/17.04 tff(10,plain,
% 26.10/17.04 (^[A: $i, B: $i] : refl((set_union2(A, B) = set_union2(B, A)) <=> (set_union2(A, B) = set_union2(B, A)))),
% 26.10/17.04 inference(bind,[status(th)],[])).
% 26.10/17.04 tff(11,plain,
% 26.10/17.04 (![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A)) <=> ![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A))),
% 26.10/17.04 inference(quant_intro,[status(thm)],[10])).
% 26.10/17.04 tff(12,plain,
% 26.10/17.04 (![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A)) <=> ![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A))),
% 26.10/17.04 inference(rewrite,[status(thm)],[])).
% 26.10/17.04 tff(13,axiom,(![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','commutativity_k2_xboole_0')).
% 26.10/17.04 tff(14,plain,
% 26.10/17.04 (![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[13, 12])).
% 26.10/17.04 tff(15,plain,(
% 26.10/17.04 ![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A))),
% 26.10/17.04 inference(skolemize,[status(sab)],[14])).
% 26.10/17.04 tff(16,plain,
% 26.10/17.04 (![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[15, 11])).
% 26.10/17.04 tff(17,plain,
% 26.10/17.04 ((~![A: $i, B: $i] : (set_union2(A, B) = set_union2(B, A))) | (set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))),
% 26.10/17.04 inference(quant_inst,[status(thm)],[])).
% 26.10/17.04 tff(18,plain,
% 26.10/17.04 (set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))),
% 26.10/17.04 inference(unit_resolution,[status(thm)],[17, 16])).
% 26.10/17.04 tff(19,plain,
% 26.10/17.04 (set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)) = set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))),
% 26.10/17.04 inference(symmetry,[status(thm)],[18])).
% 26.10/17.04 tff(20,plain,
% 26.10/17.04 (^[A: $i, B: $i] : refl((symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A))) <=> (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A))))),
% 26.10/17.04 inference(bind,[status(th)],[])).
% 26.10/17.04 tff(21,plain,
% 26.10/17.04 (![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A))) <=> ![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A)))),
% 26.10/17.04 inference(quant_intro,[status(thm)],[20])).
% 26.10/17.04 tff(22,plain,
% 26.10/17.04 (![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A))) <=> ![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A)))),
% 26.10/17.04 inference(rewrite,[status(thm)],[])).
% 26.10/17.04 tff(23,axiom,(![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d6_xboole_0')).
% 26.10/17.04 tff(24,plain,
% 26.10/17.04 (![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A)))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[23, 22])).
% 26.10/17.04 tff(25,plain,(
% 26.10/17.04 ![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A)))),
% 26.10/17.04 inference(skolemize,[status(sab)],[24])).
% 26.10/17.04 tff(26,plain,
% 26.10/17.04 (![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A)))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[25, 21])).
% 26.10/17.04 tff(27,plain,
% 26.10/17.04 ((~![A: $i, B: $i] : (symmetric_difference(A, B) = set_union2(set_difference(A, B), set_difference(B, A)))) | (symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))))),
% 26.10/17.04 inference(quant_inst,[status(thm)],[])).
% 26.10/17.04 tff(28,plain,
% 26.10/17.04 (symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))),
% 26.10/17.04 inference(unit_resolution,[status(thm)],[27, 26])).
% 26.10/17.04 tff(29,plain,
% 26.10/17.04 (set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))) = symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))),
% 26.10/17.04 inference(symmetry,[status(thm)],[28])).
% 26.10/17.04 tff(30,plain,
% 26.10/17.04 (symmetric_difference(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))) = symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))),
% 26.10/17.04 inference(monotonicity,[status(thm)],[29, 19])).
% 26.10/17.04 tff(31,plain,
% 26.10/17.04 (symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))) = symmetric_difference(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))),
% 26.10/17.04 inference(symmetry,[status(thm)],[30])).
% 26.10/17.04 tff(32,plain,
% 26.10/17.04 (symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))) = symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))))),
% 26.10/17.04 inference(transitivity,[status(thm)],[31, 9])).
% 26.10/17.04 tff(33,plain,
% 26.10/17.04 (in(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11) <=> in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)),
% 26.10/17.04 inference(monotonicity,[status(thm)],[32])).
% 26.10/17.04 tff(34,plain,
% 26.10/17.04 (in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11) <=> in(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)),
% 26.10/17.04 inference(symmetry,[status(thm)],[33])).
% 26.10/17.04 tff(35,plain,
% 26.10/17.04 (^[A: $i] : refl((~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))))) <=> (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))))))),
% 26.10/17.04 inference(bind,[status(th)],[])).
% 26.10/17.04 tff(36,plain,
% 26.10/17.04 (![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))))) <=> ![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))),
% 26.10/17.04 inference(quant_intro,[status(thm)],[35])).
% 26.10/17.04 tff(37,plain,
% 26.10/17.04 (^[A: $i] : rewrite((~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))))) <=> (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))))))),
% 26.10/17.04 inference(bind,[status(th)],[])).
% 26.10/17.04 tff(38,plain,
% 26.10/17.04 (![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))))) <=> ![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))),
% 26.10/17.04 inference(quant_intro,[status(thm)],[37])).
% 26.10/17.04 tff(39,plain,
% 26.10/17.04 (![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))))) <=> ![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))),
% 26.10/17.04 inference(transitivity,[status(thm)],[38, 36])).
% 26.10/17.04 tff(40,plain,
% 26.10/17.04 (^[A: $i] : trans(monotonicity(rewrite(((~preboolean(A)) | ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A)))) <=> ((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))), rewrite((preboolean(A) | (~((~(in(tptp_fun_B_10(A), A) & in(tptp_fun_C_9(A), A))) | (in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A) & in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))) <=> (preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))), ((((~preboolean(A)) | ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A)))) & (preboolean(A) | (~((~(in(tptp_fun_B_10(A), A) & in(tptp_fun_C_9(A), A))) | (in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A) & in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))) <=> (((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A)))))) & (preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))))), rewrite((((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A)))))) & (preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))))) <=> (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))), ((((~preboolean(A)) | ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A)))) & (preboolean(A) | (~((~(in(tptp_fun_B_10(A), A) & in(tptp_fun_C_9(A), A))) | (in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A) & in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))) <=> (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))))),
% 26.10/17.04 inference(bind,[status(th)],[])).
% 26.10/17.04 tff(41,plain,
% 26.10/17.04 (![A: $i] : (((~preboolean(A)) | ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A)))) & (preboolean(A) | (~((~(in(tptp_fun_B_10(A), A) & in(tptp_fun_C_9(A), A))) | (in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A) & in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)))))) <=> ![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))),
% 26.10/17.04 inference(quant_intro,[status(thm)],[40])).
% 26.10/17.04 tff(42,plain,
% 26.10/17.04 (![A: $i] : (preboolean(A) <=> ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A)))) <=> ![A: $i] : (preboolean(A) <=> ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A))))),
% 26.10/17.04 inference(rewrite,[status(thm)],[])).
% 26.10/17.04 tff(43,plain,
% 26.10/17.04 (^[A: $i] : rewrite((preboolean(A) <=> ![B: $i, C: $i] : ((in(B, A) & in(C, A)) => (in(set_union2(B, C), A) & in(set_difference(B, C), A)))) <=> (preboolean(A) <=> ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A)))))),
% 26.10/17.04 inference(bind,[status(th)],[])).
% 26.10/17.04 tff(44,plain,
% 26.10/17.04 (![A: $i] : (preboolean(A) <=> ![B: $i, C: $i] : ((in(B, A) & in(C, A)) => (in(set_union2(B, C), A) & in(set_difference(B, C), A)))) <=> ![A: $i] : (preboolean(A) <=> ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A))))),
% 26.10/17.04 inference(quant_intro,[status(thm)],[43])).
% 26.10/17.04 tff(45,axiom,(![A: $i] : (preboolean(A) <=> ![B: $i, C: $i] : ((in(B, A) & in(C, A)) => (in(set_union2(B, C), A) & in(set_difference(B, C), A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t10_finsub_1')).
% 26.10/17.04 tff(46,plain,
% 26.10/17.04 (![A: $i] : (preboolean(A) <=> ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A))))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[45, 44])).
% 26.10/17.04 tff(47,plain,
% 26.10/17.04 (![A: $i] : (preboolean(A) <=> ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A))))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[46, 42])).
% 26.10/17.04 tff(48,plain,(
% 26.10/17.04 ![A: $i] : (((~preboolean(A)) | ![B: $i, C: $i] : ((~(in(B, A) & in(C, A))) | (in(set_union2(B, C), A) & in(set_difference(B, C), A)))) & (preboolean(A) | (~((~(in(tptp_fun_B_10(A), A) & in(tptp_fun_C_9(A), A))) | (in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A) & in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))),
% 26.10/17.04 inference(skolemize,[status(sab)],[47])).
% 26.10/17.04 tff(49,plain,
% 26.10/17.04 (![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[48, 41])).
% 26.10/17.04 tff(50,plain,
% 26.10/17.04 (![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))),
% 26.10/17.04 inference(modus_ponens,[status(thm)],[49, 39])).
% 26.10/17.04 tff(51,plain,
% 26.10/17.04 (((~![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))) | (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(C, A!11)) | (~in(B, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))))))) <=> ((~![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))) | (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(C, A!11)) | (~in(B, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))))))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(52,plain,
% 26.10/17.05 ((~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(B, A!11)) | (~in(C, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))))))) <=> (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(C, A!11)) | (~in(B, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(53,plain,
% 26.10/17.05 (((~![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))) | (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(B, A!11)) | (~in(C, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))))))) <=> ((~![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))) | (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(C, A!11)) | (~in(B, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))))))))),
% 26.10/17.05 inference(monotonicity,[status(thm)],[52])).
% 26.10/17.05 tff(54,plain,
% 26.10/17.05 (((~![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))) | (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(B, A!11)) | (~in(C, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))))))) <=> ((~![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))) | (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(C, A!11)) | (~in(B, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))))))))),
% 26.10/17.05 inference(transitivity,[status(thm)],[53, 51])).
% 26.10/17.05 tff(55,plain,
% 26.10/17.05 ((~![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))) | (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(B, A!11)) | (~in(C, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))))))),
% 26.10/17.05 inference(quant_inst,[status(thm)],[])).
% 26.10/17.05 tff(56,plain,
% 26.10/17.05 ((~![A: $i] : (~((~((~preboolean(A)) | ![B: $i, C: $i] : ((~in(B, A)) | (~in(C, A)) | (~((~in(set_union2(B, C), A)) | (~in(set_difference(B, C), A))))))) | (~(preboolean(A) | (~((~in(tptp_fun_B_10(A), A)) | (~in(tptp_fun_C_9(A), A)) | (~((~in(set_union2(tptp_fun_B_10(A), tptp_fun_C_9(A)), A)) | (~in(set_difference(tptp_fun_B_10(A), tptp_fun_C_9(A)), A))))))))))) | (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(C, A!11)) | (~in(B, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[55, 54])).
% 26.10/17.05 tff(57,plain,
% 26.10/17.05 (~((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(C, A!11)) | (~in(B, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))))))),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[56, 50])).
% 26.10/17.05 tff(58,plain,
% 26.10/17.05 (((~((~preboolean(A!11)) | ![B: $i, C: $i] : ((~in(C, A!11)) | (~in(B, A!11)) | (~((~in(set_union2(B, C), A!11)) | (~in(set_difference(B, C), A!11))))))) | (~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))))) | (preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))))),
% 26.10/17.05 inference(tautology,[status(thm)],[])).
% 26.10/17.05 tff(59,plain,
% 26.10/17.05 (preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[58, 57])).
% 26.10/17.05 tff(60,plain,
% 26.10/17.05 (((~empty(A!11)) & (~preboolean(A!11)) & ![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (in(symmetric_difference(B, C), A!11) & in(set_union2(B, C), A!11))))) <=> ((~empty(A!11)) & (~preboolean(A!11)) & ![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (in(symmetric_difference(B, C), A!11) & in(set_union2(B, C), A!11)))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(61,plain,
% 26.10/17.05 ((~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A))))))) <=> (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A)))))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(62,plain,
% 26.10/17.05 ((~![A: $i] : ((~empty(A)) => (![B: $i] : (element(B, A) => ![C: $i] : (element(C, A) => (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A)))) => preboolean(A)))) <=> (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A)))))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(63,axiom,(~![A: $i] : ((~empty(A)) => (![B: $i] : (element(B, A) => ![C: $i] : (element(C, A) => (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A)))) => preboolean(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t17_finsub_1')).
% 26.10/17.05 tff(64,plain,
% 26.10/17.05 (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[63, 62])).
% 26.10/17.05 tff(65,plain,
% 26.10/17.05 (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[64, 61])).
% 26.10/17.05 tff(66,plain,
% 26.10/17.05 (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[65, 61])).
% 26.10/17.05 tff(67,plain,
% 26.10/17.05 (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[66, 61])).
% 26.10/17.05 tff(68,plain,
% 26.10/17.05 (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[67, 61])).
% 26.10/17.05 tff(69,plain,
% 26.10/17.05 (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[68, 61])).
% 26.10/17.05 tff(70,plain,
% 26.10/17.05 (~![A: $i] : (empty(A) | preboolean(A) | (~![B: $i] : ((~element(B, A)) | ![C: $i] : ((~element(C, A)) | (in(symmetric_difference(B, C), A) & in(set_union2(B, C), A))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[69, 61])).
% 26.10/17.05 tff(71,plain,
% 26.10/17.05 ((~empty(A!11)) & (~preboolean(A!11)) & ![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (in(symmetric_difference(B, C), A!11) & in(set_union2(B, C), A!11))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[70, 60])).
% 26.10/17.05 tff(72,plain,
% 26.10/17.05 (~preboolean(A!11)),
% 26.10/17.05 inference(and_elim,[status(thm)],[71])).
% 26.10/17.05 tff(73,plain,
% 26.10/17.05 ((~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))))) | preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))),
% 26.10/17.05 inference(tautology,[status(thm)],[])).
% 26.10/17.05 tff(74,plain,
% 26.10/17.05 ((~(preboolean(A!11) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))))) | (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[73, 72])).
% 26.10/17.05 tff(75,plain,
% 26.10/17.05 (~((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[74, 59])).
% 26.10/17.05 tff(76,plain,
% 26.10/17.05 (((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))) | in(tptp_fun_C_9(A!11), A!11)),
% 26.10/17.05 inference(tautology,[status(thm)],[])).
% 26.10/17.05 tff(77,plain,
% 26.10/17.05 (in(tptp_fun_C_9(A!11), A!11)),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[76, 75])).
% 26.10/17.05 tff(78,plain,
% 26.10/17.05 (^[A: $i, B: $i] : refl(((~in(A, B)) | element(A, B)) <=> ((~in(A, B)) | element(A, B)))),
% 26.10/17.05 inference(bind,[status(th)],[])).
% 26.10/17.05 tff(79,plain,
% 26.10/17.05 (![A: $i, B: $i] : ((~in(A, B)) | element(A, B)) <=> ![A: $i, B: $i] : ((~in(A, B)) | element(A, B))),
% 26.10/17.05 inference(quant_intro,[status(thm)],[78])).
% 26.10/17.05 tff(80,plain,
% 26.10/17.05 (![A: $i, B: $i] : ((~in(A, B)) | element(A, B)) <=> ![A: $i, B: $i] : ((~in(A, B)) | element(A, B))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(81,plain,
% 26.10/17.05 (^[A: $i, B: $i] : rewrite((in(A, B) => element(A, B)) <=> ((~in(A, B)) | element(A, B)))),
% 26.10/17.05 inference(bind,[status(th)],[])).
% 26.10/17.05 tff(82,plain,
% 26.10/17.05 (![A: $i, B: $i] : (in(A, B) => element(A, B)) <=> ![A: $i, B: $i] : ((~in(A, B)) | element(A, B))),
% 26.10/17.05 inference(quant_intro,[status(thm)],[81])).
% 26.10/17.05 tff(83,axiom,(![A: $i, B: $i] : (in(A, B) => element(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t1_subset')).
% 26.10/17.05 tff(84,plain,
% 26.10/17.05 (![A: $i, B: $i] : ((~in(A, B)) | element(A, B))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[83, 82])).
% 26.10/17.05 tff(85,plain,
% 26.10/17.05 (![A: $i, B: $i] : ((~in(A, B)) | element(A, B))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[84, 80])).
% 26.10/17.05 tff(86,plain,(
% 26.10/17.05 ![A: $i, B: $i] : ((~in(A, B)) | element(A, B))),
% 26.10/17.05 inference(skolemize,[status(sab)],[85])).
% 26.10/17.05 tff(87,plain,
% 26.10/17.05 (![A: $i, B: $i] : ((~in(A, B)) | element(A, B))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[86, 79])).
% 26.10/17.05 tff(88,plain,
% 26.10/17.05 (((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(tptp_fun_C_9(A!11), A!11)) | element(tptp_fun_C_9(A!11), A!11))) <=> ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(tptp_fun_C_9(A!11), A!11)) | element(tptp_fun_C_9(A!11), A!11))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(89,plain,
% 26.10/17.05 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(tptp_fun_C_9(A!11), A!11)) | element(tptp_fun_C_9(A!11), A!11))),
% 26.10/17.05 inference(quant_inst,[status(thm)],[])).
% 26.10/17.05 tff(90,plain,
% 26.10/17.05 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(tptp_fun_C_9(A!11), A!11)) | element(tptp_fun_C_9(A!11), A!11)),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[89, 88])).
% 26.10/17.05 tff(91,plain,
% 26.10/17.05 (element(tptp_fun_C_9(A!11), A!11)),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[90, 87, 77])).
% 26.10/17.05 tff(92,plain,
% 26.10/17.05 (^[B: $i] : refl(((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11)))))) <=> ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11)))))))),
% 26.10/17.05 inference(bind,[status(th)],[])).
% 26.10/17.05 tff(93,plain,
% 26.10/17.05 (![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11)))))) <=> ![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))),
% 26.10/17.05 inference(quant_intro,[status(thm)],[92])).
% 26.10/17.05 tff(94,plain,
% 26.10/17.05 (^[B: $i] : rewrite(((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11)))))) <=> ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11)))))))),
% 26.10/17.05 inference(bind,[status(th)],[])).
% 26.10/17.05 tff(95,plain,
% 26.10/17.05 (![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11)))))) <=> ![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))),
% 26.10/17.05 inference(quant_intro,[status(thm)],[94])).
% 26.10/17.05 tff(96,plain,
% 26.10/17.05 (![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11)))))) <=> ![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))),
% 26.10/17.05 inference(transitivity,[status(thm)],[95, 93])).
% 26.10/17.05 tff(97,plain,
% 26.10/17.05 (^[B: $i] : rewrite(((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (in(symmetric_difference(B, C), A!11) & in(set_union2(B, C), A!11)))) <=> ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11)))))))),
% 26.10/17.05 inference(bind,[status(th)],[])).
% 26.10/17.05 tff(98,plain,
% 26.10/17.05 (![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (in(symmetric_difference(B, C), A!11) & in(set_union2(B, C), A!11)))) <=> ![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))),
% 26.10/17.05 inference(quant_intro,[status(thm)],[97])).
% 26.10/17.05 tff(99,plain,
% 26.10/17.05 (![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (in(symmetric_difference(B, C), A!11) & in(set_union2(B, C), A!11))))),
% 26.10/17.05 inference(and_elim,[status(thm)],[71])).
% 26.10/17.05 tff(100,plain,
% 26.10/17.05 (![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[99, 98])).
% 26.10/17.05 tff(101,plain,
% 26.10/17.05 (![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[100, 96])).
% 26.10/17.05 tff(102,plain,
% 26.10/17.05 (((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | ((~element(tptp_fun_C_9(A!11), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11))))))) <=> ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | (~element(tptp_fun_C_9(A!11), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11))))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(103,plain,
% 26.10/17.05 ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | ((~element(tptp_fun_C_9(A!11), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11))))))),
% 26.10/17.05 inference(quant_inst,[status(thm)],[])).
% 26.10/17.05 tff(104,plain,
% 26.10/17.05 ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | (~element(tptp_fun_C_9(A!11), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11)))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[103, 102])).
% 26.10/17.05 tff(105,plain,
% 26.10/17.05 (![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11)))))),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[104, 101, 91])).
% 26.10/17.05 tff(106,plain,
% 26.10/17.05 (((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))) | in(tptp_fun_B_10(A!11), A!11)),
% 26.10/17.05 inference(tautology,[status(thm)],[])).
% 26.10/17.05 tff(107,plain,
% 26.10/17.05 (in(tptp_fun_B_10(A!11), A!11)),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[106, 75])).
% 26.10/17.05 tff(108,plain,
% 26.10/17.05 (((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(tptp_fun_B_10(A!11), A!11)) | element(tptp_fun_B_10(A!11), A!11))) <=> ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(tptp_fun_B_10(A!11), A!11)) | element(tptp_fun_B_10(A!11), A!11))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(109,plain,
% 26.10/17.05 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(tptp_fun_B_10(A!11), A!11)) | element(tptp_fun_B_10(A!11), A!11))),
% 26.10/17.05 inference(quant_inst,[status(thm)],[])).
% 26.10/17.05 tff(110,plain,
% 26.10/17.05 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(tptp_fun_B_10(A!11), A!11)) | element(tptp_fun_B_10(A!11), A!11)),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[109, 108])).
% 26.10/17.05 tff(111,plain,
% 26.10/17.05 (element(tptp_fun_B_10(A!11), A!11)),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[110, 87, 107])).
% 26.10/17.05 tff(112,plain,
% 26.10/17.05 (((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11)))))) | ((~element(tptp_fun_B_10(A!11), A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)))))) <=> ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11)))))) | (~element(tptp_fun_B_10(A!11), A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(113,plain,
% 26.10/17.05 ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11)))))) | ((~element(tptp_fun_B_10(A!11), A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)))))),
% 26.10/17.05 inference(quant_inst,[status(thm)],[])).
% 26.10/17.05 tff(114,plain,
% 26.10/17.05 ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), C), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), C), A!11)))))) | (~element(tptp_fun_B_10(A!11), A!11)) | (~((~in(symmetric_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[113, 112])).
% 26.10/17.05 tff(115,plain,
% 26.10/17.05 (~((~in(symmetric_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)))),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[114, 111, 105])).
% 26.10/17.05 tff(116,plain,
% 26.10/17.05 (((~in(symmetric_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | (~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11))) | in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)),
% 26.10/17.05 inference(tautology,[status(thm)],[])).
% 26.10/17.05 tff(117,plain,
% 26.10/17.05 (in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[116, 115])).
% 26.10/17.05 tff(118,plain,
% 26.10/17.05 (((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11))) <=> ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(119,plain,
% 26.10/17.05 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11))),
% 26.10/17.05 inference(quant_inst,[status(thm)],[])).
% 26.10/17.05 tff(120,plain,
% 26.10/17.05 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[119, 118])).
% 26.10/17.05 tff(121,plain,
% 26.10/17.05 (element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[120, 87, 117])).
% 26.10/17.05 tff(122,plain,
% 26.10/17.05 (((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | ((~element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11))))))) <=> ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | (~element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11))))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.05 tff(123,plain,
% 26.10/17.05 ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | ((~element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11))))))),
% 26.10/17.05 inference(quant_inst,[status(thm)],[])).
% 26.10/17.05 tff(124,plain,
% 26.10/17.05 ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | (~element(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)))))),
% 26.10/17.05 inference(modus_ponens,[status(thm)],[123, 122])).
% 26.10/17.05 tff(125,plain,
% 26.10/17.05 (![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)))))),
% 26.10/17.05 inference(unit_resolution,[status(thm)],[124, 101, 121])).
% 26.10/17.05 tff(126,plain,
% 26.10/17.05 (element(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), A!11) <=> element(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)),
% 26.10/17.05 inference(monotonicity,[status(thm)],[29])).
% 26.10/17.05 tff(127,plain,
% 26.10/17.05 (element(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11) <=> element(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), A!11)),
% 26.10/17.05 inference(symmetry,[status(thm)],[126])).
% 26.10/17.05 tff(128,plain,
% 26.10/17.05 (((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | ((~element(tptp_fun_B_10(A!11), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11))))))) <=> ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | (~element(tptp_fun_B_10(A!11), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11))))))),
% 26.10/17.05 inference(rewrite,[status(thm)],[])).
% 26.10/17.06 tff(129,plain,
% 26.10/17.06 ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | ((~element(tptp_fun_B_10(A!11), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11))))))),
% 26.10/17.06 inference(quant_inst,[status(thm)],[])).
% 26.10/17.06 tff(130,plain,
% 26.10/17.06 ((~![B: $i] : ((~element(B, A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(B, C), A!11)) | (~in(set_union2(B, C), A!11))))))) | (~element(tptp_fun_B_10(A!11), A!11)) | ![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[129, 128])).
% 26.10/17.06 tff(131,plain,
% 26.10/17.06 (![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[130, 101, 111])).
% 26.10/17.06 tff(132,plain,
% 26.10/17.06 (((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | ((~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))) <=> ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | (~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))),
% 26.10/17.06 inference(rewrite,[status(thm)],[])).
% 26.10/17.06 tff(133,plain,
% 26.10/17.06 (((~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))) <=> ((~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))),
% 26.10/17.06 inference(rewrite,[status(thm)],[])).
% 26.10/17.06 tff(134,plain,
% 26.10/17.06 (((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | ((~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))) <=> ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | ((~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))))),
% 26.10/17.06 inference(monotonicity,[status(thm)],[133])).
% 26.10/17.06 tff(135,plain,
% 26.10/17.06 (((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | ((~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))) <=> ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | (~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))),
% 26.10/17.06 inference(transitivity,[status(thm)],[134, 132])).
% 26.10/17.06 tff(136,plain,
% 26.10/17.06 ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | ((~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))))),
% 26.10/17.06 inference(quant_inst,[status(thm)],[])).
% 26.10/17.06 tff(137,plain,
% 26.10/17.06 ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | (~element(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[136, 135])).
% 26.10/17.06 tff(138,plain,
% 26.10/17.06 (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[137, 91, 131])).
% 26.10/17.06 tff(139,plain,
% 26.10/17.06 (((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))) | in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)),
% 26.10/17.06 inference(tautology,[status(thm)],[])).
% 26.10/17.06 tff(140,plain,
% 26.10/17.06 (in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[139, 138])).
% 26.10/17.06 tff(141,plain,
% 26.10/17.06 (((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | element(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))) <=> ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | element(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))),
% 26.10/17.06 inference(rewrite,[status(thm)],[])).
% 26.10/17.06 tff(142,plain,
% 26.10/17.06 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | element(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))),
% 26.10/17.06 inference(quant_inst,[status(thm)],[])).
% 26.10/17.06 tff(143,plain,
% 26.10/17.06 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | element(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[142, 141])).
% 26.10/17.06 tff(144,plain,
% 26.10/17.06 (element(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[143, 87, 140])).
% 26.10/17.06 tff(145,plain,
% 26.10/17.06 (element(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), A!11)),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[144, 127])).
% 26.10/17.06 tff(146,plain,
% 26.10/17.06 (((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)))))) | ((~element(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)))))) <=> ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)))))) | (~element(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)))))),
% 26.10/17.06 inference(rewrite,[status(thm)],[])).
% 26.10/17.06 tff(147,plain,
% 26.10/17.06 ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)))))) | ((~element(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)))))),
% 26.10/17.06 inference(quant_inst,[status(thm)],[])).
% 26.10/17.06 tff(148,plain,
% 26.10/17.06 ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), C), A!11)))))) | (~element(set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11))), A!11)) | (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11))))),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[147, 146])).
% 26.10/17.06 tff(149,plain,
% 26.10/17.06 (~((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)))),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[148, 145, 125])).
% 26.10/17.06 tff(150,plain,
% 26.10/17.06 (((~in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)) | (~in(set_union2(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11))) | in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)),
% 26.10/17.06 inference(tautology,[status(thm)],[])).
% 26.10/17.06 tff(151,plain,
% 26.10/17.06 (in(symmetric_difference(set_union2(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)), set_union2(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_difference(tptp_fun_C_9(A!11), tptp_fun_B_10(A!11)))), A!11)),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[150, 149])).
% 26.10/17.06 tff(152,plain,
% 26.10/17.06 (in(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[151, 34])).
% 26.10/17.06 tff(153,plain,
% 26.10/17.06 (^[A: $i, B: $i] : refl((set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B))) <=> (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B))))),
% 26.10/17.06 inference(bind,[status(th)],[])).
% 26.10/17.06 tff(154,plain,
% 26.10/17.06 (![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B))) <=> ![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B)))),
% 26.10/17.06 inference(quant_intro,[status(thm)],[153])).
% 26.10/17.06 tff(155,plain,
% 26.10/17.06 (![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B))) <=> ![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B)))),
% 26.10/17.06 inference(rewrite,[status(thm)],[])).
% 26.10/17.06 tff(156,axiom,(![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t95_xboole_1')).
% 26.10/17.06 tff(157,plain,
% 26.10/17.06 (![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B)))),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[156, 155])).
% 26.10/17.06 tff(158,plain,(
% 26.10/17.06 ![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B)))),
% 26.10/17.06 inference(skolemize,[status(sab)],[157])).
% 26.10/17.06 tff(159,plain,
% 26.10/17.06 (![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B)))),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[158, 154])).
% 26.10/17.06 tff(160,plain,
% 26.10/17.06 ((~![A: $i, B: $i] : (set_intersection2(A, B) = symmetric_difference(symmetric_difference(A, B), set_union2(A, B)))) | (set_intersection2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))))),
% 26.10/17.06 inference(quant_inst,[status(thm)],[])).
% 26.10/17.06 tff(161,plain,
% 26.10/17.06 (set_intersection2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[160, 159])).
% 26.10/17.06 tff(162,plain,
% 26.10/17.06 (symmetric_difference(tptp_fun_B_10(A!11), set_intersection2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))) = symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))))),
% 26.10/17.06 inference(monotonicity,[status(thm)],[161])).
% 26.10/17.06 tff(163,plain,
% 26.10/17.06 (^[A: $i, B: $i] : refl((set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B))) <=> (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B))))),
% 26.10/17.06 inference(bind,[status(th)],[])).
% 26.10/17.06 tff(164,plain,
% 26.10/17.06 (![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B))) <=> ![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B)))),
% 26.10/17.06 inference(quant_intro,[status(thm)],[163])).
% 26.10/17.06 tff(165,plain,
% 26.10/17.06 (![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B))) <=> ![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B)))),
% 26.10/17.06 inference(rewrite,[status(thm)],[])).
% 26.10/17.06 tff(166,axiom,(![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t100_xboole_1')).
% 26.10/17.06 tff(167,plain,
% 26.10/17.06 (![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B)))),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[166, 165])).
% 26.10/17.06 tff(168,plain,(
% 26.10/17.06 ![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B)))),
% 26.10/17.06 inference(skolemize,[status(sab)],[167])).
% 26.10/17.06 tff(169,plain,
% 26.10/17.06 (![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B)))),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[168, 164])).
% 26.10/17.06 tff(170,plain,
% 26.10/17.06 ((~![A: $i, B: $i] : (set_difference(A, B) = symmetric_difference(A, set_intersection2(A, B)))) | (set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = symmetric_difference(tptp_fun_B_10(A!11), set_intersection2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))))),
% 26.10/17.06 inference(quant_inst,[status(thm)],[])).
% 26.10/17.06 tff(171,plain,
% 26.10/17.06 (set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = symmetric_difference(tptp_fun_B_10(A!11), set_intersection2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[170, 169])).
% 26.10/17.06 tff(172,plain,
% 26.10/17.06 (set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)) = symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))))),
% 26.10/17.06 inference(transitivity,[status(thm)],[171, 162])).
% 26.10/17.06 tff(173,plain,
% 26.10/17.06 (in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11) <=> in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)),
% 26.10/17.06 inference(monotonicity,[status(thm)],[172])).
% 26.10/17.06 tff(174,plain,
% 26.10/17.06 ((~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) <=> (~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11))),
% 26.10/17.06 inference(monotonicity,[status(thm)],[173])).
% 26.10/17.06 tff(175,plain,
% 26.10/17.06 (((~in(tptp_fun_B_10(A!11), A!11)) | (~in(tptp_fun_C_9(A!11), A!11)) | (~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))))) | ((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))),
% 26.10/17.06 inference(tautology,[status(thm)],[])).
% 26.10/17.06 tff(176,plain,
% 26.10/17.06 ((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[175, 75])).
% 26.10/17.06 tff(177,plain,
% 26.10/17.06 (((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))) | in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)),
% 26.10/17.06 inference(tautology,[status(thm)],[])).
% 26.10/17.06 tff(178,plain,
% 26.10/17.06 (in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[177, 138])).
% 26.10/17.06 tff(179,plain,
% 26.10/17.06 ((~((~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)))) | (~in(set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)) | (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11))),
% 26.10/17.06 inference(tautology,[status(thm)],[])).
% 26.10/17.06 tff(180,plain,
% 26.10/17.06 (~in(set_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), A!11)),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[179, 178, 176])).
% 26.10/17.06 tff(181,plain,
% 26.10/17.06 (~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[180, 174])).
% 26.10/17.06 tff(182,plain,
% 26.10/17.06 (((~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11))) | in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)),
% 26.10/17.06 inference(tautology,[status(thm)],[])).
% 26.10/17.06 tff(183,plain,
% 26.10/17.06 ((~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11))),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[182, 181])).
% 26.10/17.06 tff(184,plain,
% 26.10/17.06 (((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | ((~element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)))))) <=> ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | (~element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)))))),
% 26.10/17.06 inference(rewrite,[status(thm)],[])).
% 26.10/17.06 tff(185,plain,
% 26.10/17.06 ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | ((~element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)))))),
% 26.10/17.06 inference(quant_inst,[status(thm)],[])).
% 26.10/17.06 tff(186,plain,
% 26.10/17.06 ((~![C: $i] : ((~element(C, A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), C), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), C), A!11)))))) | (~element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11))))),
% 26.10/17.06 inference(modus_ponens,[status(thm)],[185, 184])).
% 26.10/17.06 tff(187,plain,
% 26.10/17.06 ((~element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | (~((~in(symmetric_difference(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11)) | (~in(set_union2(tptp_fun_B_10(A!11), symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)))), A!11))))),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[186, 131])).
% 26.10/17.06 tff(188,plain,
% 26.10/17.06 (~element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)),
% 26.10/17.06 inference(unit_resolution,[status(thm)],[187, 183])).
% 26.10/17.06 tff(189,plain,
% 26.10/17.06 (((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11))) <=> ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11))),
% 26.10/17.08 inference(rewrite,[status(thm)],[])).
% 26.10/17.08 tff(190,plain,
% 26.10/17.08 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | ((~in(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11))),
% 26.10/17.08 inference(quant_inst,[status(thm)],[])).
% 26.10/17.08 tff(191,plain,
% 26.10/17.08 ((~![A: $i, B: $i] : ((~in(A, B)) | element(A, B))) | (~in(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)) | element(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)),
% 26.10/17.08 inference(modus_ponens,[status(thm)],[190, 189])).
% 26.10/17.08 tff(192,plain,
% 26.10/17.08 (~in(symmetric_difference(symmetric_difference(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11)), set_union2(tptp_fun_B_10(A!11), tptp_fun_C_9(A!11))), A!11)),
% 26.10/17.08 inference(unit_resolution,[status(thm)],[191, 87, 188])).
% 26.10/17.08 tff(193,plain,
% 26.10/17.08 ($false),
% 26.10/17.08 inference(unit_resolution,[status(thm)],[192, 152])).
% 26.10/17.08 % SZS output end Proof
%------------------------------------------------------------------------------