%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN580-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 05:39:37 AM UTC 2025
% Result : Unsatisfiable 1.32s 1.49s
% Output : Proof 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN580-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.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 12:38:18 EDT 2025
% 0.12/0.33 % CPUTime :
% 1.32/1.49 % SZS status Unsatisfiable
% 1.32/1.49 % SZS output start Proof
% 1.32/1.49 tff(p9_type, type, (
% 1.32/1.49 p9: ( $i * $i ) > $o)).
% 1.32/1.49 tff(f6_type, type, (
% 1.32/1.49 f6: $i > $i)).
% 1.32/1.49 tff(c15_type, type, (
% 1.32/1.49 c15: $i)).
% 1.32/1.49 tff(c12_type, type, (
% 1.32/1.49 c12: $i)).
% 1.32/1.49 tff(p8_type, type, (
% 1.32/1.49 p8: ( $i * $i * $i ) > $o)).
% 1.32/1.49 tff(f3_type, type, (
% 1.32/1.49 f3: $i > $i)).
% 1.32/1.49 tff(p4_type, type, (
% 1.32/1.49 p4: ( $i * $i ) > $o)).
% 1.32/1.49 tff(c14_type, type, (
% 1.32/1.49 c14: $i)).
% 1.32/1.49 tff(p2_type, type, (
% 1.32/1.49 p2: ( $i * $i ) > $o)).
% 1.32/1.49 tff(p7_type, type, (
% 1.32/1.49 p7: ( $i * $i ) > $o)).
% 1.32/1.49 tff(f5_type, type, (
% 1.32/1.49 f5: $i > $i)).
% 1.32/1.49 tff(c13_type, type, (
% 1.32/1.49 c13: $i)).
% 1.32/1.49 tff(p11_type, type, (
% 1.32/1.49 p11: ( $i * $i ) > $o)).
% 1.32/1.49 tff(c16_type, type, (
% 1.32/1.49 c16: $i)).
% 1.32/1.49 tff(1,plain,
% 1.32/1.49 (^[X11: $i, X10: $i] : refl(((~p2(X10, X11)) | p2(f3(X10), f3(X11))) <=> ((~p2(X10, X11)) | p2(f3(X10), f3(X11))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(2,plain,
% 1.32/1.49 (![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11))) <=> ![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[1])).
% 1.32/1.49 tff(3,plain,
% 1.32/1.49 (![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11))) <=> ![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(4,plain,
% 1.32/1.49 (^[X11: $i, X10: $i] : rewrite((p2(f3(X10), f3(X11)) | (~p2(X10, X11))) <=> ((~p2(X10, X11)) | p2(f3(X10), f3(X11))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(5,plain,
% 1.32/1.49 (![X11: $i, X10: $i] : (p2(f3(X10), f3(X11)) | (~p2(X10, X11))) <=> ![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[4])).
% 1.32/1.49 tff(6,axiom,(![X11: $i, X10: $i] : (p2(f3(X10), f3(X11)) | (~p2(X10, X11)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_10')).
% 1.32/1.49 tff(7,plain,
% 1.32/1.49 (![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[6, 5])).
% 1.32/1.49 tff(8,plain,
% 1.32/1.49 (![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[7, 3])).
% 1.32/1.49 tff(9,plain,(
% 1.32/1.49 ![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))),
% 1.32/1.49 inference(skolemize,[status(sab)],[8])).
% 1.32/1.49 tff(10,plain,
% 1.32/1.49 (![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[9, 2])).
% 1.32/1.49 tff(11,plain,
% 1.32/1.49 (p2(c14, f3(c15)) <=> p2(c14, f3(c15))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(12,axiom,(p2(c14, f3(c15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_7')).
% 1.32/1.49 tff(13,plain,
% 1.32/1.49 (p2(c14, f3(c15))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[12, 11])).
% 1.32/1.49 tff(14,plain,
% 1.32/1.49 (((~![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))) | ((~p2(c14, f3(c15))) | p2(f3(c14), f3(f3(c15))))) <=> ((~![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))) | (~p2(c14, f3(c15))) | p2(f3(c14), f3(f3(c15))))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(15,plain,
% 1.32/1.49 ((~![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))) | ((~p2(c14, f3(c15))) | p2(f3(c14), f3(f3(c15))))),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(16,plain,
% 1.32/1.49 ((~![X11: $i, X10: $i] : ((~p2(X10, X11)) | p2(f3(X10), f3(X11)))) | (~p2(c14, f3(c15))) | p2(f3(c14), f3(f3(c15)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[15, 14])).
% 1.32/1.49 tff(17,plain,
% 1.32/1.49 (p2(f3(c14), f3(f3(c15)))),
% 1.32/1.49 inference(unit_resolution,[status(thm)],[16, 13, 10])).
% 1.32/1.49 tff(18,plain,
% 1.32/1.49 (^[X17: $i, X18: $i] : refl(((~p2(X17, X18)) | p4(f6(X17), f6(X18))) <=> ((~p2(X17, X18)) | p4(f6(X17), f6(X18))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(19,plain,
% 1.32/1.49 (![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18))) <=> ![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[18])).
% 1.32/1.49 tff(20,plain,
% 1.32/1.49 (![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18))) <=> ![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(21,plain,
% 1.32/1.49 (^[X17: $i, X18: $i] : rewrite((p4(f6(X17), f6(X18)) | (~p2(X17, X18))) <=> ((~p2(X17, X18)) | p4(f6(X17), f6(X18))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(22,plain,
% 1.32/1.49 (![X17: $i, X18: $i] : (p4(f6(X17), f6(X18)) | (~p2(X17, X18))) <=> ![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[21])).
% 1.32/1.49 tff(23,axiom,(![X17: $i, X18: $i] : (p4(f6(X17), f6(X18)) | (~p2(X17, X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p4_9')).
% 1.32/1.49 tff(24,plain,
% 1.32/1.49 (![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[23, 22])).
% 1.32/1.49 tff(25,plain,
% 1.32/1.49 (![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[24, 20])).
% 1.32/1.49 tff(26,plain,(
% 1.32/1.49 ![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))),
% 1.32/1.49 inference(skolemize,[status(sab)],[25])).
% 1.32/1.49 tff(27,plain,
% 1.32/1.49 (![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[26, 19])).
% 1.32/1.49 tff(28,plain,
% 1.32/1.49 (((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | ((~p2(f3(c14), f3(f3(c15)))) | p4(f6(f3(c14)), f6(f3(f3(c15)))))) <=> ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | (~p2(f3(c14), f3(f3(c15)))) | p4(f6(f3(c14)), f6(f3(f3(c15)))))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(29,plain,
% 1.32/1.49 ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | ((~p2(f3(c14), f3(f3(c15)))) | p4(f6(f3(c14)), f6(f3(f3(c15)))))),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(30,plain,
% 1.32/1.49 ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | (~p2(f3(c14), f3(f3(c15)))) | p4(f6(f3(c14)), f6(f3(f3(c15))))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[29, 28])).
% 1.32/1.49 tff(31,plain,
% 1.32/1.49 (p4(f6(f3(c14)), f6(f3(f3(c15))))),
% 1.32/1.49 inference(unit_resolution,[status(thm)],[30, 27, 17])).
% 1.32/1.49 tff(32,assumption,(~p2(f3(c14), f3(c14))), introduced(assumption)).
% 1.32/1.49 tff(33,plain,
% 1.32/1.49 (^[X7: $i] : refl(p2(X7, X7) <=> p2(X7, X7))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(34,plain,
% 1.32/1.49 (![X7: $i] : p2(X7, X7) <=> ![X7: $i] : p2(X7, X7)),
% 1.32/1.49 inference(quant_intro,[status(thm)],[33])).
% 1.32/1.49 tff(35,plain,
% 1.32/1.49 (![X7: $i] : p2(X7, X7) <=> ![X7: $i] : p2(X7, X7)),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(36,axiom,(![X7: $i] : p2(X7, X7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_4')).
% 1.32/1.49 tff(37,plain,
% 1.32/1.49 (![X7: $i] : p2(X7, X7)),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[36, 35])).
% 1.32/1.49 tff(38,plain,(
% 1.32/1.49 ![X7: $i] : p2(X7, X7)),
% 1.32/1.49 inference(skolemize,[status(sab)],[37])).
% 1.32/1.49 tff(39,plain,
% 1.32/1.49 (![X7: $i] : p2(X7, X7)),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[38, 34])).
% 1.32/1.49 tff(40,plain,
% 1.32/1.49 ((~![X7: $i] : p2(X7, X7)) | p2(f3(c14), f3(c14))),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(41,plain,
% 1.32/1.49 ($false),
% 1.32/1.49 inference(unit_resolution,[status(thm)],[40, 39, 32])).
% 1.32/1.49 tff(42,plain,(p2(f3(c14), f3(c14))), inference(lemma,lemma(discharge,[]))).
% 1.32/1.49 tff(43,plain,
% 1.32/1.49 (((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | ((~p2(f3(c14), f3(c14))) | p4(f6(f3(c14)), f6(f3(c14))))) <=> ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | (~p2(f3(c14), f3(c14))) | p4(f6(f3(c14)), f6(f3(c14))))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(44,plain,
% 1.32/1.49 ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | ((~p2(f3(c14), f3(c14))) | p4(f6(f3(c14)), f6(f3(c14))))),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(45,plain,
% 1.32/1.49 ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | (~p2(f3(c14), f3(c14))) | p4(f6(f3(c14)), f6(f3(c14)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[44, 43])).
% 1.32/1.49 tff(46,plain,
% 1.32/1.49 (p4(f6(f3(c14)), f6(f3(c14)))),
% 1.32/1.49 inference(unit_resolution,[status(thm)],[45, 27, 42])).
% 1.32/1.49 tff(47,plain,
% 1.32/1.49 (^[X14: $i, X12: $i, X13: $i] : refl(((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14)) <=> ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14)))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(48,plain,
% 1.32/1.49 (![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14)) <=> ![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[47])).
% 1.32/1.49 tff(49,plain,
% 1.32/1.49 (![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14)) <=> ![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(50,plain,
% 1.32/1.49 (^[X14: $i, X12: $i, X13: $i] : trans(monotonicity(rewrite((p4(X13, X14) | (~p4(X12, X13))) <=> ((~p4(X12, X13)) | p4(X13, X14))), (((p4(X13, X14) | (~p4(X12, X13))) | (~p4(X12, X14))) <=> (((~p4(X12, X13)) | p4(X13, X14)) | (~p4(X12, X14))))), rewrite((((~p4(X12, X13)) | p4(X13, X14)) | (~p4(X12, X14))) <=> ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))), (((p4(X13, X14) | (~p4(X12, X13))) | (~p4(X12, X14))) <=> ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(51,plain,
% 1.32/1.49 (![X14: $i, X12: $i, X13: $i] : ((p4(X13, X14) | (~p4(X12, X13))) | (~p4(X12, X14))) <=> ![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[50])).
% 1.32/1.49 tff(52,axiom,(![X14: $i, X12: $i, X13: $i] : ((p4(X13, X14) | (~p4(X12, X13))) | (~p4(X12, X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p4_14')).
% 1.32/1.49 tff(53,plain,
% 1.32/1.49 (![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[52, 51])).
% 1.32/1.49 tff(54,plain,
% 1.32/1.49 (![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[53, 49])).
% 1.32/1.49 tff(55,plain,(
% 1.32/1.49 ![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))),
% 1.32/1.49 inference(skolemize,[status(sab)],[54])).
% 1.32/1.49 tff(56,plain,
% 1.32/1.49 (![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[55, 48])).
% 1.32/1.49 tff(57,plain,
% 1.32/1.49 (((~![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))) | ((~p4(f6(f3(c14)), f6(f3(c14)))) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | p4(f6(f3(f3(c15))), f6(f3(c14))))) <=> ((~![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))) | (~p4(f6(f3(c14)), f6(f3(c14)))) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | p4(f6(f3(f3(c15))), f6(f3(c14))))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(58,plain,
% 1.32/1.49 ((~![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))) | ((~p4(f6(f3(c14)), f6(f3(c14)))) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | p4(f6(f3(f3(c15))), f6(f3(c14))))),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(59,plain,
% 1.32/1.49 ((~![X14: $i, X12: $i, X13: $i] : ((~p4(X12, X14)) | (~p4(X12, X13)) | p4(X13, X14))) | (~p4(f6(f3(c14)), f6(f3(c14)))) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | p4(f6(f3(f3(c15))), f6(f3(c14)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[58, 57])).
% 1.32/1.49 tff(60,plain,
% 1.32/1.49 (p4(f6(f3(f3(c15))), f6(f3(c14)))),
% 1.32/1.49 inference(unit_resolution,[status(thm)],[59, 56, 46, 31])).
% 1.32/1.49 tff(61,plain,
% 1.32/1.49 (^[X9: $i, X7: $i, X8: $i] : refl(((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9)) <=> ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9)))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(62,plain,
% 1.32/1.49 (![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9)) <=> ![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[61])).
% 1.32/1.49 tff(63,plain,
% 1.32/1.49 (![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9)) <=> ![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(64,plain,
% 1.32/1.49 (^[X9: $i, X7: $i, X8: $i] : trans(monotonicity(rewrite((p2(X8, X9) | (~p2(X7, X8))) <=> ((~p2(X7, X8)) | p2(X8, X9))), (((p2(X8, X9) | (~p2(X7, X8))) | (~p2(X7, X9))) <=> (((~p2(X7, X8)) | p2(X8, X9)) | (~p2(X7, X9))))), rewrite((((~p2(X7, X8)) | p2(X8, X9)) | (~p2(X7, X9))) <=> ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))), (((p2(X8, X9) | (~p2(X7, X8))) | (~p2(X7, X9))) <=> ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(65,plain,
% 1.32/1.49 (![X9: $i, X7: $i, X8: $i] : ((p2(X8, X9) | (~p2(X7, X8))) | (~p2(X7, X9))) <=> ![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[64])).
% 1.32/1.49 tff(66,axiom,(![X9: $i, X7: $i, X8: $i] : ((p2(X8, X9) | (~p2(X7, X8))) | (~p2(X7, X9)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_15')).
% 1.32/1.49 tff(67,plain,
% 1.32/1.49 (![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[66, 65])).
% 1.32/1.49 tff(68,plain,
% 1.32/1.49 (![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[67, 63])).
% 1.32/1.49 tff(69,plain,(
% 1.32/1.49 ![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))),
% 1.32/1.49 inference(skolemize,[status(sab)],[68])).
% 1.32/1.49 tff(70,plain,
% 1.32/1.49 (![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[69, 62])).
% 1.32/1.49 tff(71,plain,
% 1.32/1.49 (((~![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))) | ((~p2(f3(c14), f3(c14))) | (~p2(f3(c14), f3(f3(c15)))) | p2(f3(f3(c15)), f3(c14)))) <=> ((~![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))) | (~p2(f3(c14), f3(c14))) | (~p2(f3(c14), f3(f3(c15)))) | p2(f3(f3(c15)), f3(c14)))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(72,plain,
% 1.32/1.49 (((~p2(f3(c14), f3(f3(c15)))) | (~p2(f3(c14), f3(c14))) | p2(f3(f3(c15)), f3(c14))) <=> ((~p2(f3(c14), f3(c14))) | (~p2(f3(c14), f3(f3(c15)))) | p2(f3(f3(c15)), f3(c14)))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(73,plain,
% 1.32/1.49 (((~![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))) | ((~p2(f3(c14), f3(f3(c15)))) | (~p2(f3(c14), f3(c14))) | p2(f3(f3(c15)), f3(c14)))) <=> ((~![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))) | ((~p2(f3(c14), f3(c14))) | (~p2(f3(c14), f3(f3(c15)))) | p2(f3(f3(c15)), f3(c14))))),
% 1.32/1.49 inference(monotonicity,[status(thm)],[72])).
% 1.32/1.49 tff(74,plain,
% 1.32/1.49 (((~![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))) | ((~p2(f3(c14), f3(f3(c15)))) | (~p2(f3(c14), f3(c14))) | p2(f3(f3(c15)), f3(c14)))) <=> ((~![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))) | (~p2(f3(c14), f3(c14))) | (~p2(f3(c14), f3(f3(c15)))) | p2(f3(f3(c15)), f3(c14)))),
% 1.32/1.49 inference(transitivity,[status(thm)],[73, 71])).
% 1.32/1.49 tff(75,plain,
% 1.32/1.49 ((~![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))) | ((~p2(f3(c14), f3(f3(c15)))) | (~p2(f3(c14), f3(c14))) | p2(f3(f3(c15)), f3(c14)))),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(76,plain,
% 1.32/1.49 ((~![X9: $i, X7: $i, X8: $i] : ((~p2(X7, X8)) | (~p2(X7, X9)) | p2(X8, X9))) | (~p2(f3(c14), f3(c14))) | (~p2(f3(c14), f3(f3(c15)))) | p2(f3(f3(c15)), f3(c14))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[75, 74])).
% 1.32/1.49 tff(77,plain,
% 1.32/1.49 (p2(f3(f3(c15)), f3(c14))),
% 1.32/1.49 inference(unit_resolution,[status(thm)],[76, 70, 42, 17])).
% 1.32/1.49 tff(78,plain,
% 1.32/1.49 (^[X19: $i] : refl(p7(X19, X19) <=> p7(X19, X19))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(79,plain,
% 1.32/1.49 (![X19: $i] : p7(X19, X19) <=> ![X19: $i] : p7(X19, X19)),
% 1.32/1.49 inference(quant_intro,[status(thm)],[78])).
% 1.32/1.49 tff(80,plain,
% 1.32/1.49 (![X19: $i] : p7(X19, X19) <=> ![X19: $i] : p7(X19, X19)),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(81,axiom,(![X19: $i] : p7(X19, X19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p7_2')).
% 1.32/1.49 tff(82,plain,
% 1.32/1.49 (![X19: $i] : p7(X19, X19)),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[81, 80])).
% 1.32/1.49 tff(83,plain,(
% 1.32/1.49 ![X19: $i] : p7(X19, X19)),
% 1.32/1.49 inference(skolemize,[status(sab)],[82])).
% 1.32/1.49 tff(84,plain,
% 1.32/1.49 (![X19: $i] : p7(X19, X19)),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[83, 79])).
% 1.32/1.49 tff(85,plain,
% 1.32/1.49 ((~![X19: $i] : p7(X19, X19)) | p7(c12, c12)),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(86,plain,
% 1.32/1.49 (p7(c12, c12)),
% 1.32/1.49 inference(unit_resolution,[status(thm)],[85, 84])).
% 1.32/1.49 tff(87,plain,
% 1.32/1.49 (^[X31: $i, X30: $i] : refl(((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31))) <=> ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(88,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[87])).
% 1.32/1.49 tff(89,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(90,plain,
% 1.32/1.49 (^[X31: $i, X30: $i] : rewrite(((p9(c12, f5(X31)) | p8(c12, X30, X31)) | (~p9(c12, X30))) <=> ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(91,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((p9(c12, f5(X31)) | p8(c12, X30, X31)) | (~p9(c12, X30))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[90])).
% 1.32/1.49 tff(92,axiom,(![X31: $i, X30: $i] : ((p9(c12, f5(X31)) | p8(c12, X30, X31)) | (~p9(c12, X30)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p9_17')).
% 1.32/1.49 tff(93,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[92, 91])).
% 1.32/1.49 tff(94,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[93, 89])).
% 1.32/1.49 tff(95,plain,(
% 1.32/1.49 ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))),
% 1.32/1.49 inference(skolemize,[status(sab)],[94])).
% 1.32/1.49 tff(96,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[95, 88])).
% 1.32/1.49 tff(97,plain,
% 1.32/1.49 ((~p8(c12, c13, c14)) <=> (~p8(c12, c13, c14))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(98,axiom,(~p8(c12, c13, c14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_p8_8')).
% 1.32/1.49 tff(99,plain,
% 1.32/1.49 (~p8(c12, c13, c14)),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[98, 97])).
% 1.32/1.49 tff(100,plain,
% 1.32/1.49 (p9(c12, c13) <=> p9(c12, c13)),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(101,axiom,(p9(c12, c13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p9_6')).
% 1.32/1.49 tff(102,plain,
% 1.32/1.49 (p9(c12, c13)),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[101, 100])).
% 1.32/1.49 tff(103,plain,
% 1.32/1.49 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | (p8(c12, c13, c14) | (~p9(c12, c13)) | p9(c12, f5(c14)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | p8(c12, c13, c14) | (~p9(c12, c13)) | p9(c12, f5(c14)))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(104,plain,
% 1.32/1.49 (((~p9(c12, c13)) | p8(c12, c13, c14) | p9(c12, f5(c14))) <=> (p8(c12, c13, c14) | (~p9(c12, c13)) | p9(c12, f5(c14)))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(105,plain,
% 1.32/1.49 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | ((~p9(c12, c13)) | p8(c12, c13, c14) | p9(c12, f5(c14)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | (p8(c12, c13, c14) | (~p9(c12, c13)) | p9(c12, f5(c14))))),
% 1.32/1.49 inference(monotonicity,[status(thm)],[104])).
% 1.32/1.49 tff(106,plain,
% 1.32/1.49 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | ((~p9(c12, c13)) | p8(c12, c13, c14) | p9(c12, f5(c14)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | p8(c12, c13, c14) | (~p9(c12, c13)) | p9(c12, f5(c14)))),
% 1.32/1.49 inference(transitivity,[status(thm)],[105, 103])).
% 1.32/1.49 tff(107,plain,
% 1.32/1.49 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | ((~p9(c12, c13)) | p8(c12, c13, c14) | p9(c12, f5(c14)))),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(108,plain,
% 1.32/1.49 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | p8(c12, c13, c14) | (~p9(c12, c13)) | p9(c12, f5(c14))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[107, 106])).
% 1.32/1.49 tff(109,plain,
% 1.32/1.49 (p9(c12, f5(c14))),
% 1.32/1.49 inference(unit_resolution,[status(thm)],[108, 102, 99, 96])).
% 1.32/1.49 tff(110,plain,
% 1.32/1.49 (^[X31: $i, X30: $i] : refl(((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31)))) <=> ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31)))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(111,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31)))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[110])).
% 1.32/1.49 tff(112,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31)))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(113,plain,
% 1.32/1.49 (^[X31: $i, X30: $i] : trans(monotonicity(rewrite((p8(c12, X30, X31) | (~p9(c12, X30))) <=> ((~p9(c12, X30)) | p8(c12, X30, X31))), (((p8(c12, X30, X31) | (~p9(c12, X30))) | (~p8(c12, f5(X31), f3(X31)))) <=> (((~p9(c12, X30)) | p8(c12, X30, X31)) | (~p8(c12, f5(X31), f3(X31)))))), rewrite((((~p9(c12, X30)) | p8(c12, X30, X31)) | (~p8(c12, f5(X31), f3(X31)))) <=> ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))), (((p8(c12, X30, X31) | (~p9(c12, X30))) | (~p8(c12, f5(X31), f3(X31)))) <=> ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))))),
% 1.32/1.49 inference(bind,[status(th)],[])).
% 1.32/1.49 tff(114,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((p8(c12, X30, X31) | (~p9(c12, X30))) | (~p8(c12, f5(X31), f3(X31)))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))),
% 1.32/1.49 inference(quant_intro,[status(thm)],[113])).
% 1.32/1.49 tff(115,axiom,(![X31: $i, X30: $i] : ((p8(c12, X30, X31) | (~p9(c12, X30))) | (~p8(c12, f5(X31), f3(X31))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_21')).
% 1.32/1.49 tff(116,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[115, 114])).
% 1.32/1.49 tff(117,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[116, 112])).
% 1.32/1.49 tff(118,plain,(
% 1.32/1.49 ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))),
% 1.32/1.49 inference(skolemize,[status(sab)],[117])).
% 1.32/1.49 tff(119,plain,
% 1.32/1.49 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))),
% 1.32/1.49 inference(modus_ponens,[status(thm)],[118, 111])).
% 1.32/1.49 tff(120,plain,
% 1.32/1.49 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | (p8(c12, c13, c14) | (~p9(c12, c13)) | (~p8(c12, f5(c14), f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | p8(c12, c13, c14) | (~p9(c12, c13)) | (~p8(c12, f5(c14), f3(c14))))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(121,plain,
% 1.32/1.49 (((~p9(c12, c13)) | p8(c12, c13, c14) | (~p8(c12, f5(c14), f3(c14)))) <=> (p8(c12, c13, c14) | (~p9(c12, c13)) | (~p8(c12, f5(c14), f3(c14))))),
% 1.32/1.49 inference(rewrite,[status(thm)],[])).
% 1.32/1.49 tff(122,plain,
% 1.32/1.49 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | ((~p9(c12, c13)) | p8(c12, c13, c14) | (~p8(c12, f5(c14), f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | (p8(c12, c13, c14) | (~p9(c12, c13)) | (~p8(c12, f5(c14), f3(c14)))))),
% 1.32/1.49 inference(monotonicity,[status(thm)],[121])).
% 1.32/1.49 tff(123,plain,
% 1.32/1.49 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | ((~p9(c12, c13)) | p8(c12, c13, c14) | (~p8(c12, f5(c14), f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | p8(c12, c13, c14) | (~p9(c12, c13)) | (~p8(c12, f5(c14), f3(c14))))),
% 1.32/1.49 inference(transitivity,[status(thm)],[122, 120])).
% 1.32/1.49 tff(124,plain,
% 1.32/1.49 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | ((~p9(c12, c13)) | p8(c12, c13, c14) | (~p8(c12, f5(c14), f3(c14))))),
% 1.32/1.49 inference(quant_inst,[status(thm)],[])).
% 1.32/1.49 tff(125,plain,
% 1.32/1.49 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | p8(c12, c13, c14) | (~p9(c12, c13)) | (~p8(c12, f5(c14), f3(c14)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[124, 123])).
% 1.32/1.50 tff(126,plain,
% 1.32/1.50 (~p8(c12, f5(c14), f3(c14))),
% 1.32/1.50 inference(unit_resolution,[status(thm)],[125, 102, 99, 119])).
% 1.32/1.50 tff(127,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f5(f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f5(f3(c14))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(128,plain,
% 1.32/1.50 (((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | p9(c12, f5(f3(c14)))) <=> (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f5(f3(c14))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(129,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | p9(c12, f5(f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f5(f3(c14)))))),
% 1.32/1.50 inference(monotonicity,[status(thm)],[128])).
% 1.32/1.50 tff(130,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | p9(c12, f5(f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f5(f3(c14))))),
% 1.32/1.50 inference(transitivity,[status(thm)],[129, 127])).
% 1.32/1.50 tff(131,plain,
% 1.32/1.50 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | p9(c12, f5(f3(c14))))),
% 1.32/1.50 inference(quant_inst,[status(thm)],[])).
% 1.32/1.50 tff(132,plain,
% 1.32/1.50 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | p9(c12, f5(X31)))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f5(f3(c14)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[131, 130])).
% 1.32/1.50 tff(133,plain,
% 1.32/1.50 (p9(c12, f5(f3(c14)))),
% 1.32/1.50 inference(unit_resolution,[status(thm)],[132, 96, 126, 109])).
% 1.32/1.50 tff(134,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | (~p8(c12, f5(f3(c14)), f3(f3(c14)))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | (~p8(c12, f5(f3(c14)), f3(f3(c14)))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(135,plain,
% 1.32/1.50 (((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | (~p8(c12, f5(f3(c14)), f3(f3(c14))))) <=> (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | (~p8(c12, f5(f3(c14)), f3(f3(c14)))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(136,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | (~p8(c12, f5(f3(c14)), f3(f3(c14)))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | (~p8(c12, f5(f3(c14)), f3(f3(c14))))))),
% 1.32/1.50 inference(monotonicity,[status(thm)],[135])).
% 1.32/1.50 tff(137,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | (~p8(c12, f5(f3(c14)), f3(f3(c14)))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | (~p8(c12, f5(f3(c14)), f3(f3(c14)))))),
% 1.32/1.50 inference(transitivity,[status(thm)],[136, 134])).
% 1.32/1.50 tff(138,plain,
% 1.32/1.50 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | (~p8(c12, f5(f3(c14)), f3(f3(c14)))))),
% 1.32/1.50 inference(quant_inst,[status(thm)],[])).
% 1.32/1.50 tff(139,plain,
% 1.32/1.50 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, X31) | (~p8(c12, f5(X31), f3(X31))))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | (~p8(c12, f5(f3(c14)), f3(f3(c14))))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[138, 137])).
% 1.32/1.50 tff(140,plain,
% 1.32/1.50 (~p8(c12, f5(f3(c14)), f3(f3(c14)))),
% 1.32/1.50 inference(unit_resolution,[status(thm)],[139, 119, 126, 109])).
% 1.32/1.50 tff(141,plain,
% 1.32/1.50 (^[X31: $i, X30: $i] : refl(((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31))) <=> ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31))))),
% 1.32/1.50 inference(bind,[status(th)],[])).
% 1.32/1.50 tff(142,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))),
% 1.32/1.50 inference(quant_intro,[status(thm)],[141])).
% 1.32/1.50 tff(143,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(144,plain,
% 1.32/1.50 (^[X31: $i, X30: $i] : trans(monotonicity(rewrite((p8(c12, X30, f3(X31)) | (~p9(c12, X30))) <=> ((~p9(c12, X30)) | p8(c12, X30, f3(X31)))), (((p8(c12, X30, f3(X31)) | (~p9(c12, X30))) | (~p8(c12, f6(X31), X31))) <=> (((~p9(c12, X30)) | p8(c12, X30, f3(X31))) | (~p8(c12, f6(X31), X31))))), rewrite((((~p9(c12, X30)) | p8(c12, X30, f3(X31))) | (~p8(c12, f6(X31), X31))) <=> ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))), (((p8(c12, X30, f3(X31)) | (~p9(c12, X30))) | (~p8(c12, f6(X31), X31))) <=> ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))))),
% 1.32/1.50 inference(bind,[status(th)],[])).
% 1.32/1.50 tff(145,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((p8(c12, X30, f3(X31)) | (~p9(c12, X30))) | (~p8(c12, f6(X31), X31))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))),
% 1.32/1.50 inference(quant_intro,[status(thm)],[144])).
% 1.32/1.50 tff(146,axiom,(![X31: $i, X30: $i] : ((p8(c12, X30, f3(X31)) | (~p9(c12, X30))) | (~p8(c12, f6(X31), X31)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_22')).
% 1.32/1.50 tff(147,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[146, 145])).
% 1.32/1.50 tff(148,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[147, 143])).
% 1.32/1.50 tff(149,plain,(
% 1.32/1.50 ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))),
% 1.32/1.50 inference(skolemize,[status(sab)],[148])).
% 1.32/1.50 tff(150,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[149, 142])).
% 1.32/1.50 tff(151,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | (p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | (~p8(c12, f6(f3(c14)), f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | (~p8(c12, f6(f3(c14)), f3(c14))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(152,plain,
% 1.32/1.50 (((~p9(c12, f5(f3(c14)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p8(c12, f6(f3(c14)), f3(c14)))) <=> (p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | (~p8(c12, f6(f3(c14)), f3(c14))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(153,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f5(f3(c14)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p8(c12, f6(f3(c14)), f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | (p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | (~p8(c12, f6(f3(c14)), f3(c14)))))),
% 1.32/1.50 inference(monotonicity,[status(thm)],[152])).
% 1.32/1.50 tff(154,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f5(f3(c14)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p8(c12, f6(f3(c14)), f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | (~p8(c12, f6(f3(c14)), f3(c14))))),
% 1.32/1.50 inference(transitivity,[status(thm)],[153, 151])).
% 1.32/1.50 tff(155,plain,
% 1.32/1.50 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f5(f3(c14)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p8(c12, f6(f3(c14)), f3(c14))))),
% 1.32/1.50 inference(quant_inst,[status(thm)],[])).
% 1.32/1.50 tff(156,plain,
% 1.32/1.50 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | (~p8(c12, f6(f3(c14)), f3(c14)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[155, 154])).
% 1.32/1.50 tff(157,plain,
% 1.32/1.50 (~p8(c12, f6(f3(c14)), f3(c14))),
% 1.32/1.50 inference(unit_resolution,[status(thm)],[156, 150, 140, 133])).
% 1.32/1.50 tff(158,plain,
% 1.32/1.50 (^[X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : refl(((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24)) <=> ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24)))),
% 1.32/1.50 inference(bind,[status(th)],[])).
% 1.32/1.50 tff(159,plain,
% 1.32/1.50 (![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24)) <=> ![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))),
% 1.32/1.50 inference(quant_intro,[status(thm)],[158])).
% 1.32/1.50 tff(160,plain,
% 1.32/1.50 (![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24)) <=> ![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(161,plain,
% 1.32/1.50 (^[X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((p8(X22, X23, X24) | (~p2(X25, X24))) <=> ((~p2(X25, X24)) | p8(X22, X23, X24))), (((p8(X22, X23, X24) | (~p2(X25, X24))) | (~p4(X26, X23))) <=> (((~p2(X25, X24)) | p8(X22, X23, X24)) | (~p4(X26, X23))))), rewrite((((~p2(X25, X24)) | p8(X22, X23, X24)) | (~p4(X26, X23))) <=> ((~p4(X26, X23)) | (~p2(X25, X24)) | p8(X22, X23, X24))), (((p8(X22, X23, X24) | (~p2(X25, X24))) | (~p4(X26, X23))) <=> ((~p4(X26, X23)) | (~p2(X25, X24)) | p8(X22, X23, X24)))), ((((p8(X22, X23, X24) | (~p2(X25, X24))) | (~p4(X26, X23))) | (~p7(X27, X22))) <=> (((~p4(X26, X23)) | (~p2(X25, X24)) | p8(X22, X23, X24)) | (~p7(X27, X22))))), rewrite((((~p4(X26, X23)) | (~p2(X25, X24)) | p8(X22, X23, X24)) | (~p7(X27, X22))) <=> ((~p4(X26, X23)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))), ((((p8(X22, X23, X24) | (~p2(X25, X24))) | (~p4(X26, X23))) | (~p7(X27, X22))) <=> ((~p4(X26, X23)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24)))), (((((p8(X22, X23, X24) | (~p2(X25, X24))) | (~p4(X26, X23))) | (~p7(X27, X22))) | (~p8(X27, X26, X25))) <=> (((~p4(X26, X23)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24)) | (~p8(X27, X26, X25))))), rewrite((((~p4(X26, X23)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24)) | (~p8(X27, X26, X25))) <=> ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))), (((((p8(X22, X23, X24) | (~p2(X25, X24))) | (~p4(X26, X23))) | (~p7(X27, X22))) | (~p8(X27, X26, X25))) <=> ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))))),
% 1.32/1.50 inference(bind,[status(th)],[])).
% 1.32/1.50 tff(162,plain,
% 1.32/1.50 (![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((((p8(X22, X23, X24) | (~p2(X25, X24))) | (~p4(X26, X23))) | (~p7(X27, X22))) | (~p8(X27, X26, X25))) <=> ![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))),
% 1.32/1.50 inference(quant_intro,[status(thm)],[161])).
% 1.32/1.50 tff(163,axiom,(![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((((p8(X22, X23, X24) | (~p2(X25, X24))) | (~p4(X26, X23))) | (~p7(X27, X22))) | (~p8(X27, X26, X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_23')).
% 1.32/1.50 tff(164,plain,
% 1.32/1.50 (![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[163, 162])).
% 1.32/1.50 tff(165,plain,
% 1.32/1.50 (![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[164, 160])).
% 1.32/1.50 tff(166,plain,(
% 1.32/1.50 ![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))),
% 1.32/1.50 inference(skolemize,[status(sab)],[165])).
% 1.32/1.50 tff(167,plain,
% 1.32/1.50 (![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[166, 159])).
% 1.32/1.50 tff(168,plain,
% 1.32/1.50 (((~![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))) | (p8(c12, f6(f3(c14)), f3(c14)) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p4(f6(f3(f3(c15))), f6(f3(c14)))))) <=> ((~![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))) | p8(c12, f6(f3(c14)), f3(c14)) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p4(f6(f3(f3(c15))), f6(f3(c14)))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(169,plain,
% 1.32/1.50 (((~p4(f6(f3(f3(c15))), f6(f3(c14)))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | p8(c12, f6(f3(c14)), f3(c14))) <=> (p8(c12, f6(f3(c14)), f3(c14)) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p4(f6(f3(f3(c15))), f6(f3(c14)))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(170,plain,
% 1.32/1.50 (((~![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))) | ((~p4(f6(f3(f3(c15))), f6(f3(c14)))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | p8(c12, f6(f3(c14)), f3(c14)))) <=> ((~![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))) | (p8(c12, f6(f3(c14)), f3(c14)) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p4(f6(f3(f3(c15))), f6(f3(c14))))))),
% 1.32/1.50 inference(monotonicity,[status(thm)],[169])).
% 1.32/1.50 tff(171,plain,
% 1.32/1.50 (((~![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))) | ((~p4(f6(f3(f3(c15))), f6(f3(c14)))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | p8(c12, f6(f3(c14)), f3(c14)))) <=> ((~![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))) | p8(c12, f6(f3(c14)), f3(c14)) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p4(f6(f3(f3(c15))), f6(f3(c14)))))),
% 1.32/1.50 inference(transitivity,[status(thm)],[170, 168])).
% 1.32/1.50 tff(172,plain,
% 1.32/1.50 ((~![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))) | ((~p4(f6(f3(f3(c15))), f6(f3(c14)))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | p8(c12, f6(f3(c14)), f3(c14)))),
% 1.32/1.50 inference(quant_inst,[status(thm)],[])).
% 1.32/1.50 tff(173,plain,
% 1.32/1.50 ((~![X25: $i, X27: $i, X22: $i, X23: $i, X26: $i, X24: $i] : ((~p4(X26, X23)) | (~p8(X27, X26, X25)) | (~p7(X27, X22)) | (~p2(X25, X24)) | p8(X22, X23, X24))) | p8(c12, f6(f3(c14)), f3(c14)) | (~p7(c12, c12)) | (~p2(f3(f3(c15)), f3(c14))) | (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))) | (~p4(f6(f3(f3(c15))), f6(f3(c14))))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[172, 171])).
% 1.32/1.50 tff(174,plain,
% 1.32/1.50 (~p8(c12, f6(f3(f3(c15))), f3(f3(c15)))),
% 1.32/1.50 inference(unit_resolution,[status(thm)],[173, 167, 157, 86, 77, 60])).
% 1.32/1.50 tff(175,plain,
% 1.32/1.50 (^[X31: $i, X30: $i] : refl(((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31))) <=> ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31))))),
% 1.32/1.50 inference(bind,[status(th)],[])).
% 1.32/1.50 tff(176,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))),
% 1.32/1.50 inference(quant_intro,[status(thm)],[175])).
% 1.32/1.50 tff(177,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(178,plain,
% 1.32/1.50 (^[X31: $i, X30: $i] : rewrite(((p9(c12, f6(X31)) | p8(c12, X30, f3(X31))) | (~p9(c12, X30))) <=> ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31))))),
% 1.32/1.50 inference(bind,[status(th)],[])).
% 1.32/1.50 tff(179,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((p9(c12, f6(X31)) | p8(c12, X30, f3(X31))) | (~p9(c12, X30))) <=> ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))),
% 1.32/1.50 inference(quant_intro,[status(thm)],[178])).
% 1.32/1.50 tff(180,axiom,(![X31: $i, X30: $i] : ((p9(c12, f6(X31)) | p8(c12, X30, f3(X31))) | (~p9(c12, X30)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p9_18')).
% 1.32/1.50 tff(181,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[180, 179])).
% 1.32/1.50 tff(182,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[181, 177])).
% 1.32/1.50 tff(183,plain,(
% 1.32/1.50 ![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))),
% 1.32/1.50 inference(skolemize,[status(sab)],[182])).
% 1.32/1.50 tff(184,plain,
% 1.32/1.50 (![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[183, 176])).
% 1.32/1.50 tff(185,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | (p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | p9(c12, f6(f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | p9(c12, f6(f3(c14))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(186,plain,
% 1.32/1.50 (((~p9(c12, f5(f3(c14)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | p9(c12, f6(f3(c14)))) <=> (p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | p9(c12, f6(f3(c14))))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(187,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f5(f3(c14)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | p9(c12, f6(f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | (p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | p9(c12, f6(f3(c14)))))),
% 1.32/1.50 inference(monotonicity,[status(thm)],[186])).
% 1.32/1.50 tff(188,plain,
% 1.32/1.50 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f5(f3(c14)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | p9(c12, f6(f3(c14))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | p9(c12, f6(f3(c14))))),
% 1.32/1.50 inference(transitivity,[status(thm)],[187, 185])).
% 1.32/1.50 tff(189,plain,
% 1.32/1.50 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f5(f3(c14)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | p9(c12, f6(f3(c14))))),
% 1.32/1.50 inference(quant_inst,[status(thm)],[])).
% 1.32/1.50 tff(190,plain,
% 1.32/1.50 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p8(c12, f5(f3(c14)), f3(f3(c14))) | (~p9(c12, f5(f3(c14)))) | p9(c12, f6(f3(c14)))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[189, 188])).
% 1.32/1.50 tff(191,plain,
% 1.32/1.50 (p9(c12, f6(f3(c14)))),
% 1.32/1.50 inference(unit_resolution,[status(thm)],[190, 184, 140, 133])).
% 1.32/1.50 tff(192,plain,
% 1.32/1.50 (^[X32: $i, X35: $i, X34: $i, X33: $i] : refl(((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33)) <=> ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33)))),
% 1.32/1.50 inference(bind,[status(th)],[])).
% 1.32/1.50 tff(193,plain,
% 1.32/1.50 (![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33)) <=> ![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))),
% 1.32/1.50 inference(quant_intro,[status(thm)],[192])).
% 1.32/1.50 tff(194,plain,
% 1.32/1.50 (![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33)) <=> ![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))),
% 1.32/1.50 inference(rewrite,[status(thm)],[])).
% 1.32/1.50 tff(195,plain,
% 1.32/1.50 (^[X32: $i, X35: $i, X34: $i, X33: $i] : trans(monotonicity(trans(monotonicity(rewrite((p9(X32, X33) | (~p7(X35, X32))) <=> ((~p7(X35, X32)) | p9(X32, X33))), (((p9(X32, X33) | (~p7(X35, X32))) | (~p9(X35, X34))) <=> (((~p7(X35, X32)) | p9(X32, X33)) | (~p9(X35, X34))))), rewrite((((~p7(X35, X32)) | p9(X32, X33)) | (~p9(X35, X34))) <=> ((~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))), (((p9(X32, X33) | (~p7(X35, X32))) | (~p9(X35, X34))) <=> ((~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33)))), ((((p9(X32, X33) | (~p7(X35, X32))) | (~p9(X35, X34))) | (~p4(X34, X33))) <=> (((~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33)) | (~p4(X34, X33))))), rewrite((((~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33)) | (~p4(X34, X33))) <=> ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))), ((((p9(X32, X33) | (~p7(X35, X32))) | (~p9(X35, X34))) | (~p4(X34, X33))) <=> ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))))),
% 1.32/1.50 inference(bind,[status(th)],[])).
% 1.32/1.50 tff(196,plain,
% 1.32/1.50 (![X32: $i, X35: $i, X34: $i, X33: $i] : (((p9(X32, X33) | (~p7(X35, X32))) | (~p9(X35, X34))) | (~p4(X34, X33))) <=> ![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))),
% 1.32/1.50 inference(quant_intro,[status(thm)],[195])).
% 1.32/1.50 tff(197,axiom,(![X32: $i, X35: $i, X34: $i, X33: $i] : (((p9(X32, X33) | (~p7(X35, X32))) | (~p9(X35, X34))) | (~p4(X34, X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p9_19')).
% 1.32/1.50 tff(198,plain,
% 1.32/1.50 (![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[197, 196])).
% 1.32/1.50 tff(199,plain,
% 1.32/1.50 (![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[198, 194])).
% 1.32/1.50 tff(200,plain,(
% 1.32/1.50 ![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))),
% 1.32/1.50 inference(skolemize,[status(sab)],[199])).
% 1.32/1.50 tff(201,plain,
% 1.32/1.50 (![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))),
% 1.32/1.50 inference(modus_ponens,[status(thm)],[200, 193])).
% 1.32/1.50 tff(202,plain,
% 1.32/1.50 (((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p7(c12, c12)) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | p9(c12, f6(f3(f3(c15)))))) <=> ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | (~p7(c12, c12)) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | p9(c12, f6(f3(f3(c15)))))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(203,plain,
% 1.32/1.51 (((~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | (~p7(c12, c12)) | p9(c12, f6(f3(f3(c15))))) <=> ((~p7(c12, c12)) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | p9(c12, f6(f3(f3(c15)))))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(204,plain,
% 1.32/1.51 (((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | (~p7(c12, c12)) | p9(c12, f6(f3(f3(c15)))))) <=> ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p7(c12, c12)) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | p9(c12, f6(f3(f3(c15))))))),
% 1.32/1.51 inference(monotonicity,[status(thm)],[203])).
% 1.32/1.51 tff(205,plain,
% 1.32/1.51 (((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | (~p7(c12, c12)) | p9(c12, f6(f3(f3(c15)))))) <=> ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | (~p7(c12, c12)) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | p9(c12, f6(f3(f3(c15)))))),
% 1.32/1.51 inference(transitivity,[status(thm)],[204, 202])).
% 1.32/1.51 tff(206,plain,
% 1.32/1.51 ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | (~p7(c12, c12)) | p9(c12, f6(f3(f3(c15)))))),
% 1.32/1.51 inference(quant_inst,[status(thm)],[])).
% 1.32/1.51 tff(207,plain,
% 1.32/1.51 ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | (~p7(c12, c12)) | (~p4(f6(f3(c14)), f6(f3(f3(c15))))) | (~p9(c12, f6(f3(c14)))) | p9(c12, f6(f3(f3(c15))))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[206, 205])).
% 1.32/1.51 tff(208,plain,
% 1.32/1.51 (p9(c12, f6(f3(f3(c15))))),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[207, 201, 191, 86, 31])).
% 1.32/1.51 tff(209,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f6(f3(f3(c15))))) | p8(c12, f6(f3(f3(c15))), f3(f3(c15))) | (~p8(c12, f6(f3(c15)), f3(c15))))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | (~p9(c12, f6(f3(f3(c15))))) | p8(c12, f6(f3(f3(c15))), f3(f3(c15))) | (~p8(c12, f6(f3(c15)), f3(c15))))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(210,plain,
% 1.32/1.51 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f6(f3(f3(c15))))) | p8(c12, f6(f3(f3(c15))), f3(f3(c15))) | (~p8(c12, f6(f3(c15)), f3(c15))))),
% 1.32/1.51 inference(quant_inst,[status(thm)],[])).
% 1.32/1.51 tff(211,plain,
% 1.32/1.51 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | (~p9(c12, f6(f3(f3(c15))))) | p8(c12, f6(f3(f3(c15))), f3(f3(c15))) | (~p8(c12, f6(f3(c15)), f3(c15)))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[210, 209])).
% 1.32/1.51 tff(212,plain,
% 1.32/1.51 (~p8(c12, f6(f3(c15)), f3(c15))),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[211, 150, 208, 174])).
% 1.32/1.51 tff(213,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f6(c14)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f6(c14)))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(214,plain,
% 1.32/1.51 (((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | p9(c12, f6(c14))) <=> (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f6(c14)))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(215,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | p9(c12, f6(c14)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | (p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f6(c14))))),
% 1.32/1.51 inference(monotonicity,[status(thm)],[214])).
% 1.32/1.51 tff(216,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | p9(c12, f6(c14)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f6(c14)))),
% 1.32/1.51 inference(transitivity,[status(thm)],[215, 213])).
% 1.32/1.51 tff(217,plain,
% 1.32/1.51 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f5(c14))) | p8(c12, f5(c14), f3(c14)) | p9(c12, f6(c14)))),
% 1.32/1.51 inference(quant_inst,[status(thm)],[])).
% 1.32/1.51 tff(218,plain,
% 1.32/1.51 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p8(c12, f5(c14), f3(c14)) | (~p9(c12, f5(c14))) | p9(c12, f6(c14))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[217, 216])).
% 1.32/1.51 tff(219,plain,
% 1.32/1.51 (p9(c12, f6(c14))),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[218, 184, 126, 109])).
% 1.32/1.51 tff(220,plain,
% 1.32/1.51 (((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | ((~p2(c14, f3(c15))) | p4(f6(c14), f6(f3(c15))))) <=> ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | (~p2(c14, f3(c15))) | p4(f6(c14), f6(f3(c15))))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(221,plain,
% 1.32/1.51 ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | ((~p2(c14, f3(c15))) | p4(f6(c14), f6(f3(c15))))),
% 1.32/1.51 inference(quant_inst,[status(thm)],[])).
% 1.32/1.51 tff(222,plain,
% 1.32/1.51 ((~![X17: $i, X18: $i] : ((~p2(X17, X18)) | p4(f6(X17), f6(X18)))) | (~p2(c14, f3(c15))) | p4(f6(c14), f6(f3(c15)))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[221, 220])).
% 1.32/1.51 tff(223,plain,
% 1.32/1.51 (p4(f6(c14), f6(f3(c15)))),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[222, 13, 27])).
% 1.32/1.51 tff(224,plain,
% 1.32/1.51 (((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p7(c12, c12)) | p9(c12, f6(f3(c15))) | (~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14))))) <=> ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | (~p7(c12, c12)) | p9(c12, f6(f3(c15))) | (~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14))))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(225,plain,
% 1.32/1.51 (((~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14))) | (~p7(c12, c12)) | p9(c12, f6(f3(c15)))) <=> ((~p7(c12, c12)) | p9(c12, f6(f3(c15))) | (~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14))))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(226,plain,
% 1.32/1.51 (((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14))) | (~p7(c12, c12)) | p9(c12, f6(f3(c15))))) <=> ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p7(c12, c12)) | p9(c12, f6(f3(c15))) | (~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14)))))),
% 1.32/1.51 inference(monotonicity,[status(thm)],[225])).
% 1.32/1.51 tff(227,plain,
% 1.32/1.51 (((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14))) | (~p7(c12, c12)) | p9(c12, f6(f3(c15))))) <=> ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | (~p7(c12, c12)) | p9(c12, f6(f3(c15))) | (~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14))))),
% 1.32/1.51 inference(transitivity,[status(thm)],[226, 224])).
% 1.32/1.51 tff(228,plain,
% 1.32/1.51 ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | ((~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14))) | (~p7(c12, c12)) | p9(c12, f6(f3(c15))))),
% 1.32/1.51 inference(quant_inst,[status(thm)],[])).
% 1.32/1.51 tff(229,plain,
% 1.32/1.51 ((~![X32: $i, X35: $i, X34: $i, X33: $i] : ((~p4(X34, X33)) | (~p9(X35, X34)) | (~p7(X35, X32)) | p9(X32, X33))) | (~p7(c12, c12)) | p9(c12, f6(f3(c15))) | (~p4(f6(c14), f6(f3(c15)))) | (~p9(c12, f6(c14)))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[228, 227])).
% 1.32/1.51 tff(230,plain,
% 1.32/1.51 (p9(c12, f6(f3(c15)))),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[229, 201, 223, 219, 86])).
% 1.32/1.51 tff(231,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | (p9(c12, f6(c15)) | (~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p9(c12, f6(c15)) | (~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(232,plain,
% 1.32/1.51 (((~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)) | p9(c12, f6(c15))) <=> (p9(c12, f6(c15)) | (~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(233,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)) | p9(c12, f6(c15)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | (p9(c12, f6(c15)) | (~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15))))),
% 1.32/1.51 inference(monotonicity,[status(thm)],[232])).
% 1.32/1.51 tff(234,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)) | p9(c12, f6(c15)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p9(c12, f6(c15)) | (~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)))),
% 1.32/1.51 inference(transitivity,[status(thm)],[233, 231])).
% 1.32/1.51 tff(235,plain,
% 1.32/1.51 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | ((~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)) | p9(c12, f6(c15)))),
% 1.32/1.51 inference(quant_inst,[status(thm)],[])).
% 1.32/1.51 tff(236,plain,
% 1.32/1.51 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | p9(c12, f6(X31)))) | p9(c12, f6(c15)) | (~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[235, 234])).
% 1.32/1.51 tff(237,plain,
% 1.32/1.51 (p9(c12, f6(c15))),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[236, 184, 230, 212])).
% 1.32/1.51 tff(238,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f6(f3(c15)))) | (~p8(c12, f6(c15), c15)) | p8(c12, f6(f3(c15)), f3(c15)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | (~p9(c12, f6(f3(c15)))) | (~p8(c12, f6(c15), c15)) | p8(c12, f6(f3(c15)), f3(c15)))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(239,plain,
% 1.32/1.51 (((~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)) | (~p8(c12, f6(c15), c15))) <=> ((~p9(c12, f6(f3(c15)))) | (~p8(c12, f6(c15), c15)) | p8(c12, f6(f3(c15)), f3(c15)))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(240,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)) | (~p8(c12, f6(c15), c15)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f6(f3(c15)))) | (~p8(c12, f6(c15), c15)) | p8(c12, f6(f3(c15)), f3(c15))))),
% 1.32/1.51 inference(monotonicity,[status(thm)],[239])).
% 1.32/1.51 tff(241,plain,
% 1.32/1.51 (((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)) | (~p8(c12, f6(c15), c15)))) <=> ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | (~p9(c12, f6(f3(c15)))) | (~p8(c12, f6(c15), c15)) | p8(c12, f6(f3(c15)), f3(c15)))),
% 1.32/1.51 inference(transitivity,[status(thm)],[240, 238])).
% 1.32/1.51 tff(242,plain,
% 1.32/1.51 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | ((~p9(c12, f6(f3(c15)))) | p8(c12, f6(f3(c15)), f3(c15)) | (~p8(c12, f6(c15), c15)))),
% 1.32/1.51 inference(quant_inst,[status(thm)],[])).
% 1.32/1.51 tff(243,plain,
% 1.32/1.51 ((~![X31: $i, X30: $i] : ((~p9(c12, X30)) | p8(c12, X30, f3(X31)) | (~p8(c12, f6(X31), X31)))) | (~p9(c12, f6(f3(c15)))) | (~p8(c12, f6(c15), c15)) | p8(c12, f6(f3(c15)), f3(c15))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[242, 241])).
% 1.32/1.51 tff(244,plain,
% 1.32/1.51 (~p8(c12, f6(c15), c15)),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[243, 150, 230, 212])).
% 1.32/1.51 tff(245,plain,
% 1.32/1.51 (^[X29: $i, X28: $i] : refl(((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29)) <=> ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29)))),
% 1.32/1.51 inference(bind,[status(th)],[])).
% 1.32/1.51 tff(246,plain,
% 1.32/1.51 (![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29)) <=> ![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))),
% 1.32/1.51 inference(quant_intro,[status(thm)],[245])).
% 1.32/1.51 tff(247,plain,
% 1.32/1.51 (![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29)) <=> ![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(248,plain,
% 1.32/1.51 (^[X29: $i, X28: $i] : trans(monotonicity(rewrite((p8(c12, X28, X29) | (~p11(X29, c16))) <=> ((~p11(X29, c16)) | p8(c12, X28, X29))), (((p8(c12, X28, X29) | (~p11(X29, c16))) | (~p9(c12, X28))) <=> (((~p11(X29, c16)) | p8(c12, X28, X29)) | (~p9(c12, X28))))), rewrite((((~p11(X29, c16)) | p8(c12, X28, X29)) | (~p9(c12, X28))) <=> ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))), (((p8(c12, X28, X29) | (~p11(X29, c16))) | (~p9(c12, X28))) <=> ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))))),
% 1.32/1.51 inference(bind,[status(th)],[])).
% 1.32/1.51 tff(249,plain,
% 1.32/1.51 (![X29: $i, X28: $i] : ((p8(c12, X28, X29) | (~p11(X29, c16))) | (~p9(c12, X28))) <=> ![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))),
% 1.32/1.51 inference(quant_intro,[status(thm)],[248])).
% 1.32/1.51 tff(250,axiom,(![X29: $i, X28: $i] : ((p8(c12, X28, X29) | (~p11(X29, c16))) | (~p9(c12, X28)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p8_16')).
% 1.32/1.51 tff(251,plain,
% 1.32/1.51 (![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[250, 249])).
% 1.32/1.51 tff(252,plain,
% 1.32/1.51 (![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[251, 247])).
% 1.32/1.51 tff(253,plain,(
% 1.32/1.51 ![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))),
% 1.32/1.51 inference(skolemize,[status(sab)],[252])).
% 1.32/1.51 tff(254,plain,
% 1.32/1.51 (![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[253, 246])).
% 1.32/1.51 tff(255,plain,
% 1.32/1.51 (p11(c15, c16) <=> p11(c15, c16)),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(256,axiom,(p11(c15, c16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p11_5')).
% 1.32/1.51 tff(257,plain,
% 1.32/1.51 (p11(c15, c16)),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[256, 255])).
% 1.32/1.51 tff(258,plain,
% 1.32/1.51 (((~![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))) | ((~p11(c15, c16)) | p8(c12, f6(c15), c15) | (~p9(c12, f6(c15))))) <=> ((~![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))) | (~p11(c15, c16)) | p8(c12, f6(c15), c15) | (~p9(c12, f6(c15))))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(259,plain,
% 1.32/1.51 (((~p9(c12, f6(c15))) | (~p11(c15, c16)) | p8(c12, f6(c15), c15)) <=> ((~p11(c15, c16)) | p8(c12, f6(c15), c15) | (~p9(c12, f6(c15))))),
% 1.32/1.51 inference(rewrite,[status(thm)],[])).
% 1.32/1.51 tff(260,plain,
% 1.32/1.51 (((~![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))) | ((~p9(c12, f6(c15))) | (~p11(c15, c16)) | p8(c12, f6(c15), c15))) <=> ((~![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))) | ((~p11(c15, c16)) | p8(c12, f6(c15), c15) | (~p9(c12, f6(c15)))))),
% 1.32/1.51 inference(monotonicity,[status(thm)],[259])).
% 1.32/1.51 tff(261,plain,
% 1.32/1.51 (((~![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))) | ((~p9(c12, f6(c15))) | (~p11(c15, c16)) | p8(c12, f6(c15), c15))) <=> ((~![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))) | (~p11(c15, c16)) | p8(c12, f6(c15), c15) | (~p9(c12, f6(c15))))),
% 1.32/1.51 inference(transitivity,[status(thm)],[260, 258])).
% 1.32/1.51 tff(262,plain,
% 1.32/1.51 ((~![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))) | ((~p9(c12, f6(c15))) | (~p11(c15, c16)) | p8(c12, f6(c15), c15))),
% 1.32/1.51 inference(quant_inst,[status(thm)],[])).
% 1.32/1.51 tff(263,plain,
% 1.32/1.51 ((~![X29: $i, X28: $i] : ((~p9(c12, X28)) | (~p11(X29, c16)) | p8(c12, X28, X29))) | (~p11(c15, c16)) | p8(c12, f6(c15), c15) | (~p9(c12, f6(c15)))),
% 1.32/1.51 inference(modus_ponens,[status(thm)],[262, 261])).
% 1.32/1.51 tff(264,plain,
% 1.32/1.51 (p8(c12, f6(c15), c15) | (~p9(c12, f6(c15)))),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[263, 257, 254])).
% 1.32/1.51 tff(265,plain,
% 1.32/1.51 ($false),
% 1.32/1.51 inference(unit_resolution,[status(thm)],[264, 244, 237])).
% 1.32/1.51 % SZS output end Proof
% 1.32/1.51 % E exiting
%------------------------------------------------------------------------------