%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SET159+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:25:22 AM UTC 2025
% Result : Theorem 86.16s 86.37s
% Output : Proof 86.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET159+3 : TPTP v9.0.0. Released v2.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 04:26:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 86.16/86.37 % SZS status Theorem
% 86.16/86.37 % SZS output start Proof
% 86.16/86.37 tff(member_type, type, (
% 86.16/86.37 member: ( $i * $i ) > $o)).
% 86.16/86.37 tff(tptp_fun_B_4_type, type, (
% 86.16/86.37 tptp_fun_B_4: $i)).
% 86.16/86.37 tff(tptp_fun_D_1_type, type, (
% 86.16/86.37 tptp_fun_D_1: ( $i * $i ) > $i)).
% 86.16/86.37 tff(union_type, type, (
% 86.16/86.37 union: ( $i * $i ) > $i)).
% 86.16/86.37 tff(tptp_fun_D_2_type, type, (
% 86.16/86.37 tptp_fun_D_2: $i)).
% 86.16/86.37 tff(tptp_fun_C_3_type, type, (
% 86.16/86.37 tptp_fun_C_3: $i)).
% 86.16/86.37 tff(subset_type, type, (
% 86.16/86.37 subset: ( $i * $i ) > $o)).
% 86.16/86.37 tff(tptp_fun_D_0_type, type, (
% 86.16/86.37 tptp_fun_D_0: ( $i * $i ) > $i)).
% 86.16/86.37 tff(1,assumption,(~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))), introduced(assumption)).
% 86.16/86.37 tff(2,assumption,(~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3)))), introduced(assumption)).
% 86.16/86.37 tff(3,plain,
% 86.16/86.37 ((member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))),
% 86.16/86.37 inference(tautology,[status(thm)],[])).
% 86.16/86.37 tff(4,plain,
% 86.16/86.37 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))),
% 86.16/86.37 inference(unit_resolution,[status(thm)],[3, 2, 1])).
% 86.16/86.37 tff(5,assumption,(~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))))), introduced(assumption)).
% 86.16/86.37 tff(6,plain,
% 86.16/86.37 (^[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))))),
% 86.16/86.37 inference(bind,[status(th)],[])).
% 86.16/86.37 tff(7,plain,
% 86.16/86.37 (![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)))),
% 86.16/86.37 inference(quant_intro,[status(thm)],[6])).
% 86.16/86.37 tff(8,plain,
% 86.16/86.37 (![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)))),
% 86.16/86.37 inference(rewrite,[status(thm)],[])).
% 86.16/86.37 tff(9,plain,
% 86.16/86.37 (^[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))))),
% 86.16/86.37 inference(bind,[status(th)],[])).
% 86.16/86.37 tff(10,plain,
% 86.16/86.37 (![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)))),
% 86.16/86.37 inference(quant_intro,[status(thm)],[9])).
% 86.16/86.37 tff(11,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')).
% 86.16/86.37 tff(12,plain,
% 86.16/86.37 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 86.16/86.37 inference(modus_ponens,[status(thm)],[11, 10])).
% 86.16/86.37 tff(13,plain,
% 86.16/86.37 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 86.16/86.37 inference(modus_ponens,[status(thm)],[12, 8])).
% 86.16/86.37 tff(14,plain,(
% 86.16/86.37 ![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 86.16/86.37 inference(skolemize,[status(sab)],[13])).
% 86.16/86.37 tff(15,plain,
% 86.16/86.37 (![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))),
% 86.16/86.37 inference(modus_ponens,[status(thm)],[14, 7])).
% 86.16/86.38 tff(16,plain,
% 86.16/86.38 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))))),
% 86.16/86.38 inference(quant_inst,[status(thm)],[])).
% 86.16/86.38 tff(17,plain,
% 86.16/86.38 ($false),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[16, 15, 5])).
% 86.16/86.38 tff(18,plain,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.38 tff(19,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))))) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)))),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(20,plain,
% 86.16/86.38 ((~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[19, 18])).
% 86.16/86.38 tff(21,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[20, 4])).
% 86.16/86.38 tff(22,plain,
% 86.16/86.38 (^[B: $i, C: $i] : refl((union(B, C) = union(C, B)) <=> (union(B, C) = union(C, B)))),
% 86.16/86.38 inference(bind,[status(th)],[])).
% 86.16/86.38 tff(23,plain,
% 86.16/86.38 (![B: $i, C: $i] : (union(B, C) = union(C, B)) <=> ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 86.16/86.38 inference(quant_intro,[status(thm)],[22])).
% 86.16/86.38 tff(24,plain,
% 86.16/86.38 (![B: $i, C: $i] : (union(B, C) = union(C, B)) <=> ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 86.16/86.38 inference(rewrite,[status(thm)],[])).
% 86.16/86.38 tff(25,axiom,(![B: $i, C: $i] : (union(B, C) = union(C, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','commutativity_of_union')).
% 86.16/86.38 tff(26,plain,
% 86.16/86.38 (![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 86.16/86.38 inference(modus_ponens,[status(thm)],[25, 24])).
% 86.16/86.38 tff(27,plain,(
% 86.16/86.38 ![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 86.16/86.38 inference(skolemize,[status(sab)],[26])).
% 86.16/86.38 tff(28,plain,
% 86.16/86.38 (![B: $i, C: $i] : (union(B, C) = union(C, B))),
% 86.16/86.38 inference(modus_ponens,[status(thm)],[27, 23])).
% 86.16/86.38 tff(29,plain,
% 86.16/86.38 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(B!4, C!3) = union(C!3, B!4))),
% 86.16/86.38 inference(quant_inst,[status(thm)],[])).
% 86.16/86.38 tff(30,plain,
% 86.16/86.38 (union(B!4, C!3) = union(C!3, B!4)),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[29, 28])).
% 86.16/86.38 tff(31,plain,
% 86.16/86.38 (union(C!3, B!4) = union(B!4, C!3)),
% 86.16/86.38 inference(symmetry,[status(thm)],[30])).
% 86.16/86.38 tff(32,plain,
% 86.16/86.38 (union(D!2, union(C!3, B!4)) = union(D!2, union(B!4, C!3))),
% 86.16/86.38 inference(monotonicity,[status(thm)],[31])).
% 86.16/86.38 tff(33,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3)))),
% 86.16/86.38 inference(monotonicity,[status(thm)],[32])).
% 86.16/86.38 tff(34,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))),
% 86.16/86.38 inference(symmetry,[status(thm)],[33])).
% 86.16/86.38 tff(35,plain,
% 86.16/86.38 ((~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3)))) <=> (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))))),
% 86.16/86.38 inference(monotonicity,[status(thm)],[34])).
% 86.16/86.38 tff(36,plain,
% 86.16/86.38 (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))),
% 86.16/86.38 inference(modus_ponens,[status(thm)],[2, 35])).
% 86.16/86.38 tff(37,assumption,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))), introduced(assumption)).
% 86.16/86.38 tff(38,plain,
% 86.16/86.38 ($false),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[37, 36])).
% 86.16/86.38 tff(39,plain,((~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3)))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.38 tff(40,plain,
% 86.16/86.38 (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[39, 2])).
% 86.16/86.38 tff(41,assumption,(~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))), introduced(assumption)).
% 86.16/86.38 tff(42,plain,
% 86.16/86.38 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))),
% 86.16/86.38 inference(quant_inst,[status(thm)],[])).
% 86.16/86.38 tff(43,plain,
% 86.16/86.38 ($false),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[42, 15, 41])).
% 86.16/86.38 tff(44,plain,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.38 tff(45,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(46,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[45, 44])).
% 86.16/86.38 tff(47,plain,
% 86.16/86.38 (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[46, 40])).
% 86.16/86.38 tff(48,plain,
% 86.16/86.38 ((member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)))),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(49,plain,
% 86.16/86.38 (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[48, 47])).
% 86.16/86.38 tff(50,plain,
% 86.16/86.38 ((member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(51,plain,
% 86.16/86.38 (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[50, 47])).
% 86.16/86.38 tff(52,assumption,(~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))), introduced(assumption)).
% 86.16/86.38 tff(53,plain,
% 86.16/86.38 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))),
% 86.16/86.38 inference(quant_inst,[status(thm)],[])).
% 86.16/86.38 tff(54,plain,
% 86.16/86.38 ($false),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[53, 15, 52])).
% 86.16/86.38 tff(55,plain,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.38 tff(56,plain,
% 86.16/86.38 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), B!4) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3)))),
% 86.16/86.38 inference(quant_inst,[status(thm)],[])).
% 86.16/86.38 tff(57,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), B!4) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[56, 15])).
% 86.16/86.38 tff(58,assumption,(~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4))), introduced(assumption)).
% 86.16/86.38 tff(59,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), B!4) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3)))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), B!4) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3)))),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(60,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), B!4) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3)))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), B!4) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3)))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[59, 58])).
% 86.16/86.38 tff(61,plain,
% 86.16/86.38 (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), B!4) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[60, 57])).
% 86.16/86.38 tff(62,assumption,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))), introduced(assumption)).
% 86.16/86.38 tff(63,assumption,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))), introduced(assumption)).
% 86.16/86.38 tff(64,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(65,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[64, 63])).
% 86.16/86.38 tff(66,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[65, 62])).
% 86.16/86.38 tff(67,assumption,(~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)), introduced(assumption)).
% 86.16/86.38 tff(68,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(69,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3)),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[68, 67])).
% 86.16/86.38 tff(70,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3)),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[69, 66])).
% 86.16/86.38 tff(71,plain,
% 86.16/86.38 ((member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), B!4) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3)) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3))),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(72,plain,
% 86.16/86.38 ($false),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[71, 70, 61])).
% 86.16/86.38 tff(73,plain,((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.38 tff(74,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[73, 55])).
% 86.16/86.38 tff(75,plain,
% 86.16/86.38 (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[74, 49, 51])).
% 86.16/86.38 tff(76,plain,
% 86.16/86.38 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))),
% 86.16/86.38 inference(tautology,[status(thm)],[])).
% 86.16/86.38 tff(77,plain,
% 86.16/86.38 ($false),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[76, 75, 49, 21])).
% 86.16/86.38 tff(78,plain,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.38 tff(79,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3)))),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[78, 1])).
% 86.16/86.38 tff(80,assumption,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3)))), introduced(assumption)).
% 86.16/86.38 tff(81,plain,
% 86.16/86.38 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))),
% 86.16/86.38 inference(modus_ponens,[status(thm)],[80, 34])).
% 86.16/86.38 tff(82,assumption,(~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))), introduced(assumption)).
% 86.16/86.38 tff(83,plain,
% 86.16/86.38 ($false),
% 86.16/86.38 inference(unit_resolution,[status(thm)],[82, 81])).
% 86.16/86.38 tff(84,plain,((~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3)))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.39 tff(85,plain,
% 86.16/86.39 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[84, 79])).
% 86.16/86.39 tff(86,plain,
% 86.16/86.39 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))),
% 86.16/86.39 inference(tautology,[status(thm)],[])).
% 86.16/86.39 tff(87,plain,
% 86.16/86.39 ((~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(C!3, B!4)))) | (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[86, 44])).
% 86.16/86.39 tff(88,plain,
% 86.16/86.39 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[87, 85])).
% 86.16/86.39 tff(89,plain,
% 86.16/86.39 ((member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3)))) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))),
% 86.16/86.39 inference(tautology,[status(thm)],[])).
% 86.16/86.39 tff(90,plain,
% 86.16/86.39 (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[89, 79, 1])).
% 86.16/86.39 tff(91,plain,
% 86.16/86.39 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))))),
% 86.16/86.39 inference(tautology,[status(thm)],[])).
% 86.16/86.39 tff(92,plain,
% 86.16/86.39 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[91, 18])).
% 86.16/86.39 tff(93,plain,
% 86.16/86.39 (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[92, 90])).
% 86.16/86.39 tff(94,plain,
% 86.16/86.39 ((member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)))),
% 86.16/86.39 inference(tautology,[status(thm)],[])).
% 86.16/86.39 tff(95,plain,
% 86.16/86.39 (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[94, 93])).
% 86.16/86.39 tff(96,plain,
% 86.16/86.39 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)),
% 86.16/86.39 inference(tautology,[status(thm)],[])).
% 86.16/86.39 tff(97,plain,
% 86.16/86.39 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[96, 95, 88])).
% 86.16/86.39 tff(98,plain,
% 86.16/86.39 ((member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(C!3, B!4)) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)))),
% 86.16/86.39 inference(tautology,[status(thm)],[])).
% 86.16/86.39 tff(99,plain,
% 86.16/86.39 (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[98, 93])).
% 86.16/86.39 tff(100,plain,
% 86.16/86.39 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) <=> (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))),
% 86.16/86.39 inference(tautology,[status(thm)],[])).
% 86.16/86.39 tff(101,plain,
% 86.16/86.39 (member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, C!3)) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[100, 55])).
% 86.16/86.39 tff(102,plain,
% 86.16/86.39 (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[101, 99])).
% 86.16/86.39 tff(103,plain,
% 86.16/86.39 ((member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), C!3) | member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2)) | (~member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), D!2))),
% 86.16/86.39 inference(tautology,[status(thm)],[])).
% 86.16/86.39 tff(104,plain,
% 86.16/86.39 ($false),
% 86.16/86.39 inference(unit_resolution,[status(thm)],[103, 102, 97])).
% 86.16/86.39 tff(105,plain,(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.39 tff(106,assumption,((~((~(union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))))), introduced(assumption)).
% 86.16/86.39 tff(107,plain,
% 86.16/86.39 (^[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))))))))),
% 86.16/86.39 inference(bind,[status(th)],[])).
% 86.16/86.39 tff(108,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(quant_intro,[status(thm)],[107])).
% 86.16/86.39 tff(109,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(pull_quant,[status(thm)],[])).
% 86.16/86.39 tff(110,plain,
% 86.16/86.39 (^[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)))))))))),
% 86.16/86.39 inference(bind,[status(th)],[])).
% 86.16/86.39 tff(111,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(quant_intro,[status(thm)],[110])).
% 86.16/86.39 tff(112,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(transitivity,[status(thm)],[111, 109])).
% 86.16/86.39 tff(113,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(transitivity,[status(thm)],[112, 108])).
% 86.16/86.39 tff(114,plain,
% 86.16/86.39 (^[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))))))))),
% 86.16/86.39 inference(bind,[status(th)],[])).
% 86.16/86.39 tff(115,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(quant_intro,[status(thm)],[114])).
% 86.16/86.39 tff(116,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(transitivity,[status(thm)],[115, 113])).
% 86.16/86.39 tff(117,plain,
% 86.16/86.39 (^[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)))), trans(monotonicity(rewrite((~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))) <=> (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))), (((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))) <=> ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))), rewrite(((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))) <=> ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))), (((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), 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))))))), 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)))))))))),
% 86.16/86.39 inference(bind,[status(th)],[])).
% 86.16/86.39 tff(118,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(quant_intro,[status(thm)],[117])).
% 86.16/86.39 tff(119,plain,
% 86.16/86.39 (![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)))),
% 86.16/86.39 inference(rewrite,[status(thm)],[])).
% 86.16/86.39 tff(120,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')).
% 86.16/86.39 tff(121,plain,
% 86.16/86.39 (![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))),
% 86.16/86.39 inference(modus_ponens,[status(thm)],[120, 119])).
% 86.16/86.39 tff(122,plain,(
% 86.16/86.39 ![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)))))),
% 86.16/86.39 inference(skolemize,[status(sab)],[121])).
% 86.16/86.39 tff(123,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(modus_ponens,[status(thm)],[122, 118])).
% 86.16/86.39 tff(124,plain,
% 86.16/86.39 (![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)))))))),
% 86.16/86.39 inference(modus_ponens,[status(thm)],[123, 116])).
% 86.16/86.39 tff(125,plain,
% 86.16/86.39 (((~![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(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))))))) <=> ((~![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(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))))))))),
% 86.16/86.39 inference(rewrite,[status(thm)],[])).
% 86.16/86.39 tff(126,plain,
% 86.16/86.39 ((~((~((~(union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))))))) <=> (~((~((~(union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))))))),
% 86.16/86.39 inference(rewrite,[status(thm)],[])).
% 86.16/86.39 tff(127,plain,
% 86.16/86.39 (((~![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(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))))))))) <=> ((~![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(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))))))))),
% 86.16/86.39 inference(monotonicity,[status(thm)],[126])).
% 86.16/86.39 tff(128,plain,
% 86.16/86.39 (((~![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(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))))))))) <=> ((~![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(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))))))))),
% 86.16/86.40 inference(transitivity,[status(thm)],[127, 125])).
% 86.16/86.40 tff(129,plain,
% 86.16/86.40 ((~![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(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4)))))))))),
% 86.16/86.40 inference(quant_inst,[status(thm)],[])).
% 86.16/86.40 tff(130,plain,
% 86.16/86.40 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))))))),
% 86.16/86.40 inference(modus_ponens,[status(thm)],[129, 128])).
% 86.16/86.40 tff(131,plain,
% 86.16/86.40 ($false),
% 86.16/86.40 inference(unit_resolution,[status(thm)],[130, 124, 106])).
% 86.16/86.40 tff(132,plain,(~((~((~(union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))))))), inference(lemma,lemma(discharge,[]))).
% 86.16/86.40 tff(133,plain,
% 86.16/86.40 (((~((~(union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), tptp_fun_D_1(union(C!3, B!4), B!4)), union(union(D!2, C!3), union(C!3, B!4)))))) | (~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))))) | ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))))),
% 86.22/86.40 inference(tautology,[status(thm)],[])).
% 86.22/86.40 tff(134,plain,
% 86.22/86.40 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[133, 132])).
% 86.22/86.40 tff(135,plain,
% 86.22/86.40 ((~((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))))) | (~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))),
% 86.22/86.40 inference(tautology,[status(thm)],[])).
% 86.22/86.40 tff(136,plain,
% 86.22/86.40 ((~(member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(union(D!2, C!3), union(C!3, B!4)), union(D!2, union(B!4, C!3))), union(union(D!2, C!3), union(C!3, B!4))))) | (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[135, 134])).
% 86.22/86.40 tff(137,plain,
% 86.22/86.40 (union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[136, 105])).
% 86.22/86.40 tff(138,assumption,(union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4))), introduced(assumption)).
% 86.22/86.40 tff(139,plain,
% 86.22/86.40 (union(union(D!2, C!3), union(C!3, B!4)) = union(D!2, union(B!4, C!3))),
% 86.22/86.40 inference(symmetry,[status(thm)],[138])).
% 86.22/86.40 tff(140,assumption,(~(union(union(D!2, C!3), union(C!3, B!4)) = union(D!2, union(B!4, C!3)))), introduced(assumption)).
% 86.22/86.40 tff(141,plain,
% 86.22/86.40 ($false),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[140, 139])).
% 86.22/86.40 tff(142,plain,((~(union(D!2, union(B!4, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))) | (union(union(D!2, C!3), union(C!3, B!4)) = union(D!2, union(B!4, C!3)))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.40 tff(143,plain,
% 86.22/86.40 (union(union(D!2, C!3), union(C!3, B!4)) = union(D!2, union(B!4, C!3))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[142, 137])).
% 86.22/86.40 tff(144,plain,
% 86.22/86.40 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(union(C!3, B!4), union(D!2, C!3)) = union(union(D!2, C!3), union(C!3, B!4)))),
% 86.22/86.40 inference(quant_inst,[status(thm)],[])).
% 86.22/86.40 tff(145,plain,
% 86.22/86.40 (union(union(C!3, B!4), union(D!2, C!3)) = union(union(D!2, C!3), union(C!3, B!4))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[144, 28])).
% 86.22/86.40 tff(146,plain,
% 86.22/86.40 (union(union(C!3, B!4), union(D!2, C!3)) = union(D!2, union(B!4, C!3))),
% 86.22/86.40 inference(transitivity,[status(thm)],[145, 143])).
% 86.22/86.40 tff(147,plain,
% 86.22/86.40 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))),
% 86.22/86.40 inference(monotonicity,[status(thm)],[146])).
% 86.22/86.40 tff(148,plain,
% 86.22/86.40 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3))) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))),
% 86.22/86.40 inference(symmetry,[status(thm)],[147])).
% 86.22/86.40 tff(149,plain,
% 86.22/86.40 ((~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))) <=> (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))))),
% 86.22/86.40 inference(monotonicity,[status(thm)],[148])).
% 86.22/86.40 tff(150,assumption,(~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4))), introduced(assumption)).
% 86.22/86.40 tff(151,assumption,((~((~(union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3)))) | (member(tptp_fun_D_1(union(C!3, B!4), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(C!3, B!4), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))) | (~((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))))), introduced(assumption)).
% 86.22/86.40 tff(152,plain,
% 86.22/86.40 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))))) | (~((~((~(union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3)))) | (member(tptp_fun_D_1(union(C!3, B!4), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(C!3, B!4), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))) | (~((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))))))),
% 86.22/86.40 inference(quant_inst,[status(thm)],[])).
% 86.22/86.40 tff(153,plain,
% 86.22/86.40 ($false),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[152, 124, 151])).
% 86.22/86.40 tff(154,plain,(~((~((~(union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3)))) | (member(tptp_fun_D_1(union(C!3, B!4), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(C!3, B!4), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))) | (~((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3))))))))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.40 tff(155,plain,
% 86.22/86.40 (((~((~(union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3)))) | (member(tptp_fun_D_1(union(C!3, B!4), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(C!3, B!4), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))) | (~((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))))) | ((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3))))))),
% 86.22/86.40 inference(tautology,[status(thm)],[])).
% 86.22/86.40 tff(156,plain,
% 86.22/86.40 ((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[155, 154])).
% 86.22/86.40 tff(157,plain,
% 86.22/86.40 ((union(B!4, union(C!3, D!2)) = union(union(B!4, C!3), D!2)) <=> (union(union(B!4, C!3), D!2) = union(B!4, union(C!3, D!2)))),
% 86.22/86.40 inference(commutativity,[status(thm)],[])).
% 86.22/86.40 tff(158,plain,
% 86.22/86.40 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(union(B!4, C!3), D!2) = union(D!2, union(B!4, C!3)))),
% 86.22/86.40 inference(quant_inst,[status(thm)],[])).
% 86.22/86.40 tff(159,plain,
% 86.22/86.40 (union(union(B!4, C!3), D!2) = union(D!2, union(B!4, C!3))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[158, 28])).
% 86.22/86.40 tff(160,plain,
% 86.22/86.40 (union(D!2, union(B!4, C!3)) = union(union(B!4, C!3), D!2)),
% 86.22/86.40 inference(symmetry,[status(thm)],[159])).
% 86.22/86.40 tff(161,plain,
% 86.22/86.40 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(B!4, union(C!3, D!2)) = union(union(C!3, D!2), B!4))),
% 86.22/86.40 inference(quant_inst,[status(thm)],[])).
% 86.22/86.40 tff(162,plain,
% 86.22/86.40 (union(B!4, union(C!3, D!2)) = union(union(C!3, D!2), B!4)),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[161, 28])).
% 86.22/86.40 tff(163,plain,
% 86.22/86.40 (union(union(C!3, D!2), B!4) = union(B!4, union(C!3, D!2))),
% 86.22/86.40 inference(symmetry,[status(thm)],[162])).
% 86.22/86.40 tff(164,plain,
% 86.22/86.40 ((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) <=> (union(B!4, union(C!3, D!2)) = union(union(B!4, C!3), D!2))),
% 86.22/86.40 inference(monotonicity,[status(thm)],[163, 160])).
% 86.22/86.40 tff(165,plain,
% 86.22/86.40 ((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) <=> (union(union(B!4, C!3), D!2) = union(B!4, union(C!3, D!2)))),
% 86.22/86.40 inference(transitivity,[status(thm)],[164, 157])).
% 86.22/86.40 tff(166,plain,
% 86.22/86.40 ((union(union(B!4, C!3), D!2) = union(B!4, union(C!3, D!2))) <=> (union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3)))),
% 86.22/86.40 inference(symmetry,[status(thm)],[165])).
% 86.22/86.40 tff(167,plain,
% 86.22/86.40 ((~(union(union(B!4, C!3), D!2) = union(B!4, union(C!3, D!2)))) <=> (~(union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))))),
% 86.22/86.40 inference(monotonicity,[status(thm)],[166])).
% 86.22/86.40 tff(168,plain,
% 86.22/86.40 ((~![B: $i, C: $i, D: $i] : (union(union(B, C), D) = union(B, union(C, D)))) <=> (~![B: $i, C: $i, D: $i] : (union(union(B, C), D) = union(B, union(C, D))))),
% 86.22/86.40 inference(rewrite,[status(thm)],[])).
% 86.22/86.40 tff(169,axiom,(~![B: $i, C: $i, D: $i] : (union(union(B, C), D) = union(B, union(C, D)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_associativity_of_union')).
% 86.22/86.40 tff(170,plain,
% 86.22/86.40 (~![B: $i, C: $i, D: $i] : (union(union(B, C), D) = union(B, union(C, D)))),
% 86.22/86.40 inference(modus_ponens,[status(thm)],[169, 168])).
% 86.22/86.40 tff(171,plain,
% 86.22/86.40 (~![B: $i, C: $i, D: $i] : (union(union(B, C), D) = union(B, union(C, D)))),
% 86.22/86.40 inference(modus_ponens,[status(thm)],[170, 168])).
% 86.22/86.40 tff(172,plain,
% 86.22/86.40 (~![B: $i, C: $i, D: $i] : (union(union(B, C), D) = union(B, union(C, D)))),
% 86.22/86.40 inference(modus_ponens,[status(thm)],[171, 168])).
% 86.22/86.40 tff(173,plain,
% 86.22/86.40 (~![B: $i, C: $i, D: $i] : (union(union(B, C), D) = union(B, union(C, D)))),
% 86.22/86.40 inference(modus_ponens,[status(thm)],[172, 168])).
% 86.22/86.40 tff(174,plain,(
% 86.22/86.40 ~(union(union(B!4, C!3), D!2) = union(B!4, union(C!3, D!2)))),
% 86.22/86.40 inference(skolemize,[status(sab)],[173])).
% 86.22/86.40 tff(175,plain,
% 86.22/86.40 (~(union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3)))),
% 86.22/86.40 inference(modus_ponens,[status(thm)],[174, 167])).
% 86.22/86.40 tff(176,plain,
% 86.22/86.40 ((~((union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3))))))) | (union(union(C!3, D!2), B!4) = union(D!2, union(B!4, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))))),
% 86.22/86.40 inference(tautology,[status(thm)],[])).
% 86.22/86.40 tff(177,plain,
% 86.22/86.40 (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3))))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[176, 175, 156])).
% 86.22/86.40 tff(178,plain,
% 86.22/86.40 ((member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))),
% 86.22/86.40 inference(tautology,[status(thm)],[])).
% 86.22/86.40 tff(179,plain,
% 86.22/86.40 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[178, 177])).
% 86.22/86.40 tff(180,plain,
% 86.22/86.40 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[179, 150])).
% 86.22/86.40 tff(181,assumption,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))), introduced(assumption)).
% 86.22/86.40 tff(182,plain,
% 86.22/86.40 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))),
% 86.22/86.40 inference(modus_ponens,[status(thm)],[181, 148])).
% 86.22/86.40 tff(183,assumption,(~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))), introduced(assumption)).
% 86.22/86.40 tff(184,plain,
% 86.22/86.40 ($false),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[183, 182])).
% 86.22/86.40 tff(185,plain,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3))))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.40 tff(186,plain,
% 86.22/86.40 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[185, 180])).
% 86.22/86.40 tff(187,assumption,(~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))))), introduced(assumption)).
% 86.22/86.40 tff(188,plain,
% 86.22/86.40 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))))),
% 86.22/86.40 inference(quant_inst,[status(thm)],[])).
% 86.22/86.40 tff(189,plain,
% 86.22/86.40 ($false),
% 86.22/86.40 inference(unit_resolution,[status(thm)],[188, 15, 187])).
% 86.22/86.40 tff(190,plain,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.40 tff(191,plain,
% 86.22/86.40 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)))),
% 86.22/86.40 inference(tautology,[status(thm)],[])).
% 86.22/86.40 tff(192,plain,
% 86.22/86.40 ((~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[191, 190])).
% 86.22/86.41 tff(193,plain,
% 86.22/86.41 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[192, 186])).
% 86.22/86.41 tff(194,assumption,(~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))))), introduced(assumption)).
% 86.22/86.41 tff(195,plain,
% 86.22/86.41 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))))),
% 86.22/86.41 inference(quant_inst,[status(thm)],[])).
% 86.22/86.41 tff(196,plain,
% 86.22/86.41 ($false),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[195, 15, 194])).
% 86.22/86.41 tff(197,plain,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.41 tff(198,plain,
% 86.22/86.41 ((~![B: $i, C: $i] : (union(B, C) = union(C, B))) | (union(C!3, D!2) = union(D!2, C!3))),
% 86.22/86.41 inference(quant_inst,[status(thm)],[])).
% 86.22/86.41 tff(199,plain,
% 86.22/86.41 (union(C!3, D!2) = union(D!2, C!3)),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[198, 28])).
% 86.22/86.41 tff(200,plain,
% 86.22/86.41 (union(D!2, C!3) = union(C!3, D!2)),
% 86.22/86.41 inference(symmetry,[status(thm)],[199])).
% 86.22/86.41 tff(201,plain,
% 86.22/86.41 (union(union(D!2, C!3), B!4) = union(union(C!3, D!2), B!4)),
% 86.22/86.41 inference(monotonicity,[status(thm)],[200])).
% 86.22/86.41 tff(202,plain,
% 86.22/86.41 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4))),
% 86.22/86.41 inference(monotonicity,[status(thm)],[201])).
% 86.22/86.41 tff(203,plain,
% 86.22/86.41 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))),
% 86.22/86.41 inference(symmetry,[status(thm)],[202])).
% 86.22/86.41 tff(204,plain,
% 86.22/86.41 ((~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4))) <=> (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)))),
% 86.22/86.41 inference(monotonicity,[status(thm)],[203])).
% 86.22/86.41 tff(205,plain,
% 86.22/86.41 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))),
% 86.22/86.41 inference(modus_ponens,[status(thm)],[150, 204])).
% 86.22/86.41 tff(206,assumption,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))), introduced(assumption)).
% 86.22/86.41 tff(207,plain,
% 86.22/86.41 ($false),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[206, 205])).
% 86.22/86.41 tff(208,plain,((~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.41 tff(209,plain,
% 86.22/86.41 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[208, 150])).
% 86.22/86.41 tff(210,plain,
% 86.22/86.41 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(211,plain,
% 86.22/86.41 (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[210, 209, 197])).
% 86.22/86.41 tff(212,plain,
% 86.22/86.41 ((member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(213,plain,
% 86.22/86.41 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4)),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[212, 211])).
% 86.22/86.41 tff(214,plain,
% 86.22/86.41 ((member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(215,plain,
% 86.22/86.41 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[214, 211])).
% 86.22/86.41 tff(216,assumption,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))), introduced(assumption)).
% 86.22/86.41 tff(217,assumption,(~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))), introduced(assumption)).
% 86.22/86.41 tff(218,assumption,(~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4)), introduced(assumption)).
% 86.22/86.41 tff(219,assumption,(~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)))), introduced(assumption)).
% 86.22/86.41 tff(220,plain,
% 86.22/86.41 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)))),
% 86.22/86.41 inference(quant_inst,[status(thm)],[])).
% 86.22/86.41 tff(221,plain,
% 86.22/86.41 ($false),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[220, 15, 219])).
% 86.22/86.41 tff(222,plain,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.41 tff(223,assumption,(~(member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)) <=> (member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3) | member(tptp_fun_D_0(union(D!2, C!3), C!3), D!2)))), introduced(assumption)).
% 86.22/86.41 tff(224,plain,
% 86.22/86.41 ((~![B: $i, C: $i, D: $i] : (member(D, union(B, C)) <=> (member(D, C) | member(D, B)))) | (member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)) <=> (member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3) | member(tptp_fun_D_0(union(D!2, C!3), C!3), D!2)))),
% 86.22/86.41 inference(quant_inst,[status(thm)],[])).
% 86.22/86.41 tff(225,plain,
% 86.22/86.41 ($false),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[224, 15, 223])).
% 86.22/86.41 tff(226,plain,(member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)) <=> (member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3) | member(tptp_fun_D_0(union(D!2, C!3), C!3), D!2))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.41 tff(227,assumption,(~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))), introduced(assumption)).
% 86.22/86.41 tff(228,plain,
% 86.22/86.41 (((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3))) | (~member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(229,plain,
% 86.22/86.41 (~member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[228, 227])).
% 86.22/86.41 tff(230,plain,
% 86.22/86.41 (((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3))) | member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(231,plain,
% 86.22/86.41 (member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[230, 227])).
% 86.22/86.41 tff(232,plain,
% 86.22/86.41 ((member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3) | member(tptp_fun_D_0(union(D!2, C!3), C!3), D!2)) | (~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(233,plain,
% 86.22/86.41 (member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3) | member(tptp_fun_D_0(union(D!2, C!3), C!3), D!2)),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[232, 231])).
% 86.22/86.41 tff(234,plain,
% 86.22/86.41 ((~(member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)) <=> (member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3) | member(tptp_fun_D_0(union(D!2, C!3), C!3), D!2)))) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)) | (~(member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3) | member(tptp_fun_D_0(union(D!2, C!3), C!3), D!2)))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(235,plain,
% 86.22/86.41 ($false),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[234, 233, 229, 226])).
% 86.22/86.41 tff(236,plain,((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.41 tff(237,plain,
% 86.22/86.41 (^[B: $i, C: $i] : refl((~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))))),
% 86.22/86.41 inference(bind,[status(th)],[])).
% 86.22/86.41 tff(238,plain,
% 86.22/86.41 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 86.22/86.41 inference(quant_intro,[status(thm)],[237])).
% 86.22/86.41 tff(239,plain,
% 86.22/86.41 (^[B: $i, C: $i] : rewrite((~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))))),
% 86.22/86.41 inference(bind,[status(th)],[])).
% 86.22/86.41 tff(240,plain,
% 86.22/86.41 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 86.22/86.41 inference(quant_intro,[status(thm)],[239])).
% 86.22/86.41 tff(241,plain,
% 86.22/86.41 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))) <=> ![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 86.22/86.41 inference(transitivity,[status(thm)],[240, 238])).
% 86.22/86.41 tff(242,plain,
% 86.22/86.41 (^[B: $i, C: $i] : trans(monotonicity(rewrite(((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) <=> ((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))), rewrite((subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))) <=> (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))), ((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))) <=> (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))))), rewrite((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))), ((((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))) <=> (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))))),
% 86.22/86.41 inference(bind,[status(th)],[])).
% 86.22/86.41 tff(243,plain,
% 86.22/86.41 (![B: $i, C: $i] : (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C))))) <=> ![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 86.22/86.41 inference(quant_intro,[status(thm)],[242])).
% 86.22/86.41 tff(244,plain,
% 86.22/86.41 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C))) <=> ![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 86.22/86.41 inference(rewrite,[status(thm)],[])).
% 86.22/86.41 tff(245,plain,
% 86.22/86.41 (^[B: $i, C: $i] : rewrite((subset(B, C) <=> ![D: $i] : (member(D, B) => member(D, C))) <=> (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C))))),
% 86.22/86.41 inference(bind,[status(th)],[])).
% 86.22/86.41 tff(246,plain,
% 86.22/86.41 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : (member(D, B) => member(D, C))) <=> ![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 86.22/86.41 inference(quant_intro,[status(thm)],[245])).
% 86.22/86.41 tff(247,axiom,(![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : (member(D, B) => member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','subset_defn')).
% 86.22/86.41 tff(248,plain,
% 86.22/86.41 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 86.22/86.41 inference(modus_ponens,[status(thm)],[247, 246])).
% 86.22/86.41 tff(249,plain,
% 86.22/86.41 (![B: $i, C: $i] : (subset(B, C) <=> ![D: $i] : ((~member(D, B)) | member(D, C)))),
% 86.22/86.41 inference(modus_ponens,[status(thm)],[248, 244])).
% 86.22/86.41 tff(250,plain,(
% 86.22/86.41 ![B: $i, C: $i] : (((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C))) & (subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))),
% 86.22/86.41 inference(skolemize,[status(sab)],[249])).
% 86.22/86.41 tff(251,plain,
% 86.22/86.41 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 86.22/86.41 inference(modus_ponens,[status(thm)],[250, 243])).
% 86.22/86.41 tff(252,plain,
% 86.22/86.41 (![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))),
% 86.22/86.41 inference(modus_ponens,[status(thm)],[251, 241])).
% 86.22/86.41 tff(253,plain,
% 86.22/86.41 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3)))))))),
% 86.22/86.41 inference(rewrite,[status(thm)],[])).
% 86.22/86.41 tff(254,plain,
% 86.22/86.41 ((~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~(subset(C!3, union(D!2, C!3)) | (~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))))))) <=> (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3))))))),
% 86.22/86.41 inference(rewrite,[status(thm)],[])).
% 86.22/86.41 tff(255,plain,
% 86.22/86.41 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~(subset(C!3, union(D!2, C!3)) | (~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3))))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3)))))))),
% 86.22/86.41 inference(monotonicity,[status(thm)],[254])).
% 86.22/86.41 tff(256,plain,
% 86.22/86.41 (((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~(subset(C!3, union(D!2, C!3)) | (~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3))))))))) <=> ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3)))))))),
% 86.22/86.41 inference(transitivity,[status(thm)],[255, 253])).
% 86.22/86.41 tff(257,plain,
% 86.22/86.41 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~(subset(C!3, union(D!2, C!3)) | (~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3))))))))),
% 86.22/86.41 inference(quant_inst,[status(thm)],[])).
% 86.22/86.41 tff(258,plain,
% 86.22/86.41 ((~![B: $i, C: $i] : (~((~((~subset(B, C)) | ![D: $i] : ((~member(D, B)) | member(D, C)))) | (~(subset(B, C) | (~((~member(tptp_fun_D_0(C, B), B)) | member(tptp_fun_D_0(C, B), C)))))))) | (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3))))))),
% 86.22/86.41 inference(modus_ponens,[status(thm)],[257, 256])).
% 86.22/86.41 tff(259,plain,
% 86.22/86.41 (~((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3)))))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[258, 252])).
% 86.22/86.41 tff(260,plain,
% 86.22/86.41 (((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3))))) | ((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3)))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(261,plain,
% 86.22/86.41 ((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[260, 259])).
% 86.22/86.41 tff(262,plain,
% 86.22/86.41 ((~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3)))) | (~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(263,plain,
% 86.22/86.41 ((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[262, 261])).
% 86.22/86.41 tff(264,plain,
% 86.22/86.41 (subset(C!3, union(D!2, C!3))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[263, 236])).
% 86.22/86.41 tff(265,plain,
% 86.22/86.41 (((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~((~((~member(tptp_fun_D_0(union(D!2, C!3), C!3), C!3)) | member(tptp_fun_D_0(union(D!2, C!3), C!3), union(D!2, C!3)))) | subset(C!3, union(D!2, C!3))))) | ((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(266,plain,
% 86.22/86.41 ((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3)))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[265, 259])).
% 86.22/86.41 tff(267,plain,
% 86.22/86.41 ((~((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3))))) | (~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3)))),
% 86.22/86.41 inference(tautology,[status(thm)],[])).
% 86.22/86.41 tff(268,plain,
% 86.22/86.41 ((~subset(C!3, union(D!2, C!3))) | ![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3)))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[267, 266])).
% 86.22/86.41 tff(269,plain,
% 86.22/86.41 (![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3)))),
% 86.22/86.41 inference(unit_resolution,[status(thm)],[268, 264])).
% 86.22/86.41 tff(270,plain,
% 86.22/86.41 (((~![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3)))) | ((~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))) <=> ((~![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3)))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))),
% 86.22/86.41 inference(rewrite,[status(thm)],[])).
% 86.22/86.41 tff(271,plain,
% 86.22/86.41 ((~![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3)))) | ((~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))),
% 86.22/86.42 inference(quant_inst,[status(thm)],[])).
% 86.22/86.42 tff(272,plain,
% 86.22/86.42 ((~![D: $i] : ((~member(D, C!3)) | member(D, union(D!2, C!3)))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))),
% 86.22/86.42 inference(modus_ponens,[status(thm)],[271, 270])).
% 86.22/86.42 tff(273,plain,
% 86.22/86.42 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[272, 269, 217])).
% 86.22/86.42 tff(274,assumption,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3))), introduced(assumption)).
% 86.22/86.42 tff(275,assumption,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))), introduced(assumption)).
% 86.22/86.42 tff(276,plain,
% 86.22/86.42 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3))),
% 86.22/86.42 inference(tautology,[status(thm)],[])).
% 86.22/86.42 tff(277,plain,
% 86.22/86.42 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[276, 275])).
% 86.22/86.42 tff(278,plain,
% 86.22/86.42 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[277, 274])).
% 86.22/86.42 tff(279,plain,
% 86.22/86.42 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)),
% 86.22/86.42 inference(tautology,[status(thm)],[])).
% 86.22/86.42 tff(280,plain,
% 86.22/86.42 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[279, 218])).
% 86.22/86.42 tff(281,plain,
% 86.22/86.42 ($false),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[280, 278, 273])).
% 86.22/86.42 tff(282,plain,((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.42 tff(283,plain,
% 86.22/86.42 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[282, 222])).
% 86.22/86.42 tff(284,plain,
% 86.22/86.42 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[283, 217, 218])).
% 86.22/86.42 tff(285,plain,
% 86.22/86.42 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))),
% 86.22/86.42 inference(tautology,[status(thm)],[])).
% 86.22/86.42 tff(286,plain,
% 86.22/86.42 ($false),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[285, 284, 217, 216])).
% 86.22/86.42 tff(287,plain,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4)), inference(lemma,lemma(discharge,[]))).
% 86.22/86.42 tff(288,plain,
% 86.22/86.42 ($false),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[287, 215, 213, 193])).
% 86.22/86.42 tff(289,plain,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.42 tff(290,plain,
% 86.22/86.42 ((member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3))))),
% 86.22/86.42 inference(tautology,[status(thm)],[])).
% 86.22/86.42 tff(291,plain,
% 86.22/86.42 ((~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3))))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[290, 177])).
% 86.22/86.42 tff(292,plain,
% 86.22/86.42 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, union(B!4, C!3)))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[291, 289])).
% 86.22/86.42 tff(293,plain,
% 86.22/86.42 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))),
% 86.22/86.42 inference(modus_ponens,[status(thm)],[292, 149])).
% 86.22/86.42 tff(294,assumption,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))), introduced(assumption)).
% 86.22/86.42 tff(295,plain,
% 86.22/86.42 ($false),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[294, 293])).
% 86.22/86.42 tff(296,plain,(~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3)))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.42 tff(297,plain,
% 86.22/86.42 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))))),
% 86.22/86.42 inference(tautology,[status(thm)],[])).
% 86.22/86.42 tff(298,plain,
% 86.22/86.42 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, B!4), union(D!2, C!3))) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[297, 190])).
% 86.22/86.42 tff(299,plain,
% 86.22/86.42 (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[298, 296])).
% 86.22/86.42 tff(300,plain,
% 86.22/86.42 ((member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))),
% 86.22/86.42 inference(tautology,[status(thm)],[])).
% 86.22/86.42 tff(301,plain,
% 86.22/86.42 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[300, 299])).
% 86.22/86.42 tff(302,assumption,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4))), introduced(assumption)).
% 86.22/86.42 tff(303,plain,
% 86.22/86.42 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))),
% 86.22/86.42 inference(modus_ponens,[status(thm)],[302, 203])).
% 86.22/86.42 tff(304,assumption,(~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))), introduced(assumption)).
% 86.22/86.42 tff(305,plain,
% 86.22/86.42 ($false),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[304, 303])).
% 86.22/86.42 tff(306,plain,(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(C!3, D!2), B!4)))), inference(lemma,lemma(discharge,[]))).
% 86.22/86.42 tff(307,plain,
% 86.22/86.42 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[306, 289])).
% 86.22/86.42 tff(308,plain,
% 86.22/86.42 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(union(D!2, C!3), B!4))) | (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))),
% 86.22/86.42 inference(tautology,[status(thm)],[])).
% 86.22/86.42 tff(309,plain,
% 86.22/86.42 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[308, 307, 197])).
% 86.22/86.42 tff(310,plain,
% 86.22/86.42 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))),
% 86.22/86.42 inference(tautology,[status(thm)],[])).
% 86.22/86.42 tff(311,plain,
% 86.22/86.42 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3))),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[310, 309])).
% 86.22/86.42 tff(312,plain,
% 86.22/86.42 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4)),
% 86.22/86.42 inference(unit_resolution,[status(thm)],[311, 301])).
% 86.22/86.42 tff(313,plain,
% 86.22/86.42 ((member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(D!2, C!3)) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)))),
% 86.22/86.44 inference(tautology,[status(thm)],[])).
% 86.22/86.44 tff(314,plain,
% 86.22/86.44 (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4))),
% 86.22/86.44 inference(unit_resolution,[status(thm)],[313, 299])).
% 86.22/86.44 tff(315,plain,
% 86.22/86.44 ((~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) <=> (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)))) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)))),
% 86.22/86.44 inference(tautology,[status(thm)],[])).
% 86.22/86.44 tff(316,plain,
% 86.22/86.44 (member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), union(C!3, B!4)) | (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)))),
% 86.22/86.44 inference(unit_resolution,[status(thm)],[315, 222])).
% 86.22/86.44 tff(317,plain,
% 86.22/86.44 (~(member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3))),
% 86.22/86.44 inference(unit_resolution,[status(thm)],[316, 314])).
% 86.22/86.44 tff(318,plain,
% 86.22/86.44 ((member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4) | member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(union(D!2, union(B!4, C!3)), union(union(C!3, D!2), B!4)), B!4))),
% 86.22/86.44 inference(tautology,[status(thm)],[])).
% 86.22/86.44 tff(319,plain,
% 86.22/86.44 ($false),
% 86.22/86.44 inference(unit_resolution,[status(thm)],[318, 317, 312])).
% 86.22/86.44 % SZS output end Proof
% 86.22/86.46 % E exiting
%------------------------------------------------------------------------------