%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN570-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:39:36 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN570-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 12:38:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 tff(p7_type, type, (
% 0.20/0.39 p7: ( $i * $i ) > $o)).
% 0.20/0.39 tff(f8_type, type, (
% 0.20/0.39 f8: $i > $i)).
% 0.20/0.39 tff(c13_type, type, (
% 0.20/0.39 c13: $i)).
% 0.20/0.39 tff(p6_type, type, (
% 0.20/0.39 p6: ( $i * $i ) > $o)).
% 0.20/0.39 tff(p3_type, type, (
% 0.20/0.39 p3: ( $i * $i ) > $o)).
% 0.20/0.39 tff(f4_type, type, (
% 0.20/0.39 f4: $i > $i)).
% 0.20/0.39 tff(c12_type, type, (
% 0.20/0.39 c12: $i)).
% 0.20/0.39 tff(c15_type, type, (
% 0.20/0.39 c15: $i)).
% 0.20/0.39 tff(f5_type, type, (
% 0.20/0.39 f5: $i > $i)).
% 0.20/0.39 tff(p2_type, type, (
% 0.20/0.39 p2: ( $i * $i ) > $o)).
% 0.20/0.39 tff(p9_type, type, (
% 0.20/0.39 p9: ( $i * $i ) > $o)).
% 0.20/0.39 tff(1,assumption,(~p6(c13, c13)), introduced(assumption)).
% 0.20/0.39 tff(2,plain,
% 0.20/0.39 (^[X18: $i] : refl(p6(X18, X18) <=> p6(X18, X18))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(3,plain,
% 0.20/0.39 (![X18: $i] : p6(X18, X18) <=> ![X18: $i] : p6(X18, X18)),
% 0.20/0.39 inference(quant_intro,[status(thm)],[2])).
% 0.20/0.39 tff(4,plain,
% 0.20/0.39 (![X18: $i] : p6(X18, X18) <=> ![X18: $i] : p6(X18, X18)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(5,axiom,(![X18: $i] : p6(X18, X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p6_3')).
% 0.20/0.39 tff(6,plain,
% 0.20/0.39 (![X18: $i] : p6(X18, X18)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.20/0.39 tff(7,plain,(
% 0.20/0.39 ![X18: $i] : p6(X18, X18)),
% 0.20/0.39 inference(skolemize,[status(sab)],[6])).
% 0.20/0.39 tff(8,plain,
% 0.20/0.39 (![X18: $i] : p6(X18, X18)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.20/0.39 tff(9,plain,
% 0.20/0.39 ((~![X18: $i] : p6(X18, X18)) | p6(c13, c13)),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(10,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 0.20/0.39 tff(11,plain,(p6(c13, c13)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(12,plain,
% 0.20/0.39 (^[X25: $i, X24: $i] : refl(((~p6(X24, X25)) | p7(f8(X24), f8(X25))) <=> ((~p6(X24, X25)) | p7(f8(X24), f8(X25))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(13,plain,
% 0.20/0.39 (![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25))) <=> ![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[12])).
% 0.20/0.39 tff(14,plain,
% 0.20/0.39 (![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25))) <=> ![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(15,plain,
% 0.20/0.39 (^[X25: $i, X24: $i] : rewrite((p7(f8(X24), f8(X25)) | (~p6(X24, X25))) <=> ((~p6(X24, X25)) | p7(f8(X24), f8(X25))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(16,plain,
% 0.20/0.39 (![X25: $i, X24: $i] : (p7(f8(X24), f8(X25)) | (~p6(X24, X25))) <=> ![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[15])).
% 0.20/0.39 tff(17,axiom,(![X25: $i, X24: $i] : (p7(f8(X24), f8(X25)) | (~p6(X24, X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p7_11')).
% 0.20/0.39 tff(18,plain,
% 0.20/0.39 (![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.20/0.39 tff(19,plain,
% 0.20/0.39 (![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.20/0.39 tff(20,plain,(
% 0.20/0.39 ![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[19])).
% 0.20/0.39 tff(21,plain,
% 0.20/0.39 (![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.20/0.39 tff(22,plain,
% 0.20/0.39 (((~![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))) | ((~p6(c13, c13)) | p7(f8(c13), f8(c13)))) <=> ((~![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))) | (~p6(c13, c13)) | p7(f8(c13), f8(c13)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(23,plain,
% 0.20/0.39 ((~![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))) | ((~p6(c13, c13)) | p7(f8(c13), f8(c13)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(24,plain,
% 0.20/0.39 ((~![X25: $i, X24: $i] : ((~p6(X24, X25)) | p7(f8(X24), f8(X25)))) | (~p6(c13, c13)) | p7(f8(c13), f8(c13))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.20/0.39 tff(25,plain,
% 0.20/0.39 ((~p6(c13, c13)) | p7(f8(c13), f8(c13))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[24, 21])).
% 0.20/0.39 tff(26,plain,
% 0.20/0.39 (p7(f8(c13), f8(c13))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[25, 11])).
% 0.20/0.39 tff(27,plain,
% 0.20/0.39 (^[X17: $i] : refl(p3(f4(f5(X17)), X17) <=> p3(f4(f5(X17)), X17))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(28,plain,
% 0.20/0.39 (![X17: $i] : p3(f4(f5(X17)), X17) <=> ![X17: $i] : p3(f4(f5(X17)), X17)),
% 0.20/0.39 inference(quant_intro,[status(thm)],[27])).
% 0.20/0.39 tff(29,plain,
% 0.20/0.39 (![X17: $i] : p3(f4(f5(X17)), X17) <=> ![X17: $i] : p3(f4(f5(X17)), X17)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(30,axiom,(![X17: $i] : p3(f4(f5(X17)), X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p3_9')).
% 0.20/0.39 tff(31,plain,
% 0.20/0.39 (![X17: $i] : p3(f4(f5(X17)), X17)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.20/0.39 tff(32,plain,(
% 0.20/0.39 ![X17: $i] : p3(f4(f5(X17)), X17)),
% 0.20/0.39 inference(skolemize,[status(sab)],[31])).
% 0.20/0.39 tff(33,plain,
% 0.20/0.39 (![X17: $i] : p3(f4(f5(X17)), X17)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.20/0.39 tff(34,plain,
% 0.20/0.39 ((~![X17: $i] : p3(f4(f5(X17)), X17)) | p3(f4(f5(f4(c12))), f4(c12))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(35,plain,
% 0.20/0.39 (p3(f4(f5(f4(c12))), f4(c12))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.20/0.39 tff(36,plain,
% 0.20/0.39 (^[X16: $i, X15: $i] : refl(((~p2(X15, X16)) | p3(f4(X15), f4(X16))) <=> ((~p2(X15, X16)) | p3(f4(X15), f4(X16))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(37,plain,
% 0.20/0.39 (![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16))) <=> ![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[36])).
% 0.20/0.39 tff(38,plain,
% 0.20/0.39 (![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16))) <=> ![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(39,plain,
% 0.20/0.39 (^[X16: $i, X15: $i] : rewrite((p3(f4(X15), f4(X16)) | (~p2(X15, X16))) <=> ((~p2(X15, X16)) | p3(f4(X15), f4(X16))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(40,plain,
% 0.20/0.39 (![X16: $i, X15: $i] : (p3(f4(X15), f4(X16)) | (~p2(X15, X16))) <=> ![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[39])).
% 0.20/0.39 tff(41,axiom,(![X16: $i, X15: $i] : (p3(f4(X15), f4(X16)) | (~p2(X15, X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p3_13')).
% 0.20/0.39 tff(42,plain,
% 0.20/0.39 (![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.20/0.39 tff(43,plain,
% 0.20/0.39 (![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.20/0.39 tff(44,plain,(
% 0.20/0.39 ![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[43])).
% 0.20/0.39 tff(45,plain,
% 0.20/0.39 (![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.20/0.39 tff(46,plain,
% 0.20/0.39 (p2(c12, f5(c15)) <=> p2(c12, f5(c15))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(47,axiom,(p2(c12, f5(c15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_8')).
% 0.20/0.39 tff(48,plain,
% 0.20/0.39 (p2(c12, f5(c15))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.20/0.39 tff(49,plain,
% 0.20/0.39 (((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | ((~p2(c12, f5(c15))) | p3(f4(c12), f4(f5(c15))))) <=> ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | (~p2(c12, f5(c15))) | p3(f4(c12), f4(f5(c15))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(50,plain,
% 0.20/0.39 ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | ((~p2(c12, f5(c15))) | p3(f4(c12), f4(f5(c15))))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(51,plain,
% 0.20/0.39 ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | (~p2(c12, f5(c15))) | p3(f4(c12), f4(f5(c15)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.20/0.39 tff(52,plain,
% 0.20/0.39 (p3(f4(c12), f4(f5(c15)))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[51, 48, 45])).
% 0.20/0.39 tff(53,plain,
% 0.20/0.39 (^[X11: $i, X10: $i] : refl(((~p3(X10, X11)) | p2(f5(X10), f5(X11))) <=> ((~p3(X10, X11)) | p2(f5(X10), f5(X11))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(54,plain,
% 0.20/0.39 (![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11))) <=> ![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[53])).
% 0.20/0.39 tff(55,plain,
% 0.20/0.39 (![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11))) <=> ![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(56,plain,
% 0.20/0.39 (^[X11: $i, X10: $i] : rewrite((p2(f5(X10), f5(X11)) | (~p3(X10, X11))) <=> ((~p3(X10, X11)) | p2(f5(X10), f5(X11))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(57,plain,
% 0.20/0.39 (![X11: $i, X10: $i] : (p2(f5(X10), f5(X11)) | (~p3(X10, X11))) <=> ![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[56])).
% 0.20/0.39 tff(58,axiom,(![X11: $i, X10: $i] : (p2(f5(X10), f5(X11)) | (~p3(X10, X11)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_12')).
% 0.20/0.39 tff(59,plain,
% 0.20/0.39 (![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.39 tff(60,plain,
% 0.20/0.39 (![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.20/0.39 tff(61,plain,(
% 0.20/0.39 ![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[60])).
% 0.20/0.39 tff(62,plain,
% 0.20/0.39 (![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.20/0.39 tff(63,plain,
% 0.20/0.39 (((~![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))) | ((~p3(f4(c12), f4(f5(c15)))) | p2(f5(f4(c12)), f5(f4(f5(c15)))))) <=> ((~![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))) | (~p3(f4(c12), f4(f5(c15)))) | p2(f5(f4(c12)), f5(f4(f5(c15)))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(64,plain,
% 0.20/0.39 ((~![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))) | ((~p3(f4(c12), f4(f5(c15)))) | p2(f5(f4(c12)), f5(f4(f5(c15)))))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(65,plain,
% 0.20/0.39 ((~![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))) | (~p3(f4(c12), f4(f5(c15)))) | p2(f5(f4(c12)), f5(f4(f5(c15))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.20/0.39 tff(66,plain,
% 0.20/0.39 (p2(f5(f4(c12)), f5(f4(f5(c15))))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[65, 62, 52])).
% 0.20/0.39 tff(67,plain,
% 0.20/0.39 (((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | ((~p2(f5(f4(c12)), f5(f4(f5(c15))))) | p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15))))))) <=> ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | (~p2(f5(f4(c12)), f5(f4(f5(c15))))) | p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15))))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(68,plain,
% 0.20/0.39 ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | ((~p2(f5(f4(c12)), f5(f4(f5(c15))))) | p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15))))))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(69,plain,
% 0.20/0.39 ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | (~p2(f5(f4(c12)), f5(f4(f5(c15))))) | p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15)))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.20/0.39 tff(70,plain,
% 0.20/0.39 (p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15)))))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[69, 45, 66])).
% 0.20/0.39 tff(71,plain,
% 0.20/0.39 (^[X14: $i, X12: $i, X13: $i] : refl(((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14)) <=> ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14)))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(72,plain,
% 0.20/0.39 (![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14)) <=> ![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[71])).
% 0.20/0.39 tff(73,plain,
% 0.20/0.39 (![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14)) <=> ![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(74,plain,
% 0.20/0.39 (^[X14: $i, X12: $i, X13: $i] : trans(monotonicity(rewrite((p3(X13, X14) | (~p3(X12, X13))) <=> ((~p3(X12, X13)) | p3(X13, X14))), (((p3(X13, X14) | (~p3(X12, X13))) | (~p3(X12, X14))) <=> (((~p3(X12, X13)) | p3(X13, X14)) | (~p3(X12, X14))))), rewrite((((~p3(X12, X13)) | p3(X13, X14)) | (~p3(X12, X14))) <=> ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))), (((p3(X13, X14) | (~p3(X12, X13))) | (~p3(X12, X14))) <=> ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(75,plain,
% 0.20/0.40 (![X14: $i, X12: $i, X13: $i] : ((p3(X13, X14) | (~p3(X12, X13))) | (~p3(X12, X14))) <=> ![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[74])).
% 0.20/0.40 tff(76,axiom,(![X14: $i, X12: $i, X13: $i] : ((p3(X13, X14) | (~p3(X12, X13))) | (~p3(X12, X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p3_17')).
% 0.20/0.40 tff(77,plain,
% 0.20/0.40 (![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.20/0.40 tff(78,plain,
% 0.20/0.40 (![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[77, 73])).
% 0.20/0.40 tff(79,plain,(
% 0.20/0.40 ![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))),
% 0.20/0.40 inference(skolemize,[status(sab)],[78])).
% 0.20/0.40 tff(80,plain,
% 0.20/0.40 (![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[79, 72])).
% 0.20/0.40 tff(81,plain,
% 0.20/0.40 (((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(f4(c12))), f4(c12))) | (~p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15)))))) | p3(f4(f5(f4(f5(c15)))), f4(c12)))) <=> ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | (~p3(f4(f5(f4(c12))), f4(c12))) | (~p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15)))))) | p3(f4(f5(f4(f5(c15)))), f4(c12)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(82,plain,
% 0.20/0.40 ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(f4(c12))), f4(c12))) | (~p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15)))))) | p3(f4(f5(f4(f5(c15)))), f4(c12)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(83,plain,
% 0.20/0.40 ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | (~p3(f4(f5(f4(c12))), f4(c12))) | (~p3(f4(f5(f4(c12))), f4(f5(f4(f5(c15)))))) | p3(f4(f5(f4(f5(c15)))), f4(c12))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.20/0.40 tff(84,plain,
% 0.20/0.40 (p3(f4(f5(f4(f5(c15)))), f4(c12))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[83, 80, 70, 35])).
% 0.20/0.40 tff(85,plain,
% 0.20/0.40 ((~![X17: $i] : p3(f4(f5(X17)), X17)) | p3(f4(f5(c15)), c15)),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(86,plain,
% 0.20/0.40 (p3(f4(f5(c15)), c15)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[85, 33])).
% 0.20/0.40 tff(87,plain,
% 0.20/0.40 (((~![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))) | ((~p3(f4(f5(c15)), c15)) | p2(f5(f4(f5(c15))), f5(c15)))) <=> ((~![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))) | (~p3(f4(f5(c15)), c15)) | p2(f5(f4(f5(c15))), f5(c15)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(88,plain,
% 0.20/0.40 ((~![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))) | ((~p3(f4(f5(c15)), c15)) | p2(f5(f4(f5(c15))), f5(c15)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(89,plain,
% 0.20/0.40 ((~![X11: $i, X10: $i] : ((~p3(X10, X11)) | p2(f5(X10), f5(X11)))) | (~p3(f4(f5(c15)), c15)) | p2(f5(f4(f5(c15))), f5(c15))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.20/0.40 tff(90,plain,
% 0.20/0.40 (p2(f5(f4(f5(c15))), f5(c15))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[89, 62, 86])).
% 0.20/0.40 tff(91,plain,
% 0.20/0.40 (((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | ((~p2(f5(f4(f5(c15))), f5(c15))) | p3(f4(f5(f4(f5(c15)))), f4(f5(c15))))) <=> ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | (~p2(f5(f4(f5(c15))), f5(c15))) | p3(f4(f5(f4(f5(c15)))), f4(f5(c15))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(92,plain,
% 0.20/0.40 ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | ((~p2(f5(f4(f5(c15))), f5(c15))) | p3(f4(f5(f4(f5(c15)))), f4(f5(c15))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(93,plain,
% 0.20/0.40 ((~![X16: $i, X15: $i] : ((~p2(X15, X16)) | p3(f4(X15), f4(X16)))) | (~p2(f5(f4(f5(c15))), f5(c15))) | p3(f4(f5(f4(f5(c15)))), f4(f5(c15)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.20/0.40 tff(94,plain,
% 0.20/0.40 (p3(f4(f5(f4(f5(c15)))), f4(f5(c15)))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[93, 45, 90])).
% 0.20/0.40 tff(95,plain,
% 0.20/0.40 (((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(f4(f5(c15)))), f4(c12))) | (~p3(f4(f5(f4(f5(c15)))), f4(f5(c15)))) | p3(f4(f5(c15)), f4(c12)))) <=> ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | (~p3(f4(f5(f4(f5(c15)))), f4(c12))) | (~p3(f4(f5(f4(f5(c15)))), f4(f5(c15)))) | p3(f4(f5(c15)), f4(c12)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(96,plain,
% 0.20/0.40 ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(f4(f5(c15)))), f4(c12))) | (~p3(f4(f5(f4(f5(c15)))), f4(f5(c15)))) | p3(f4(f5(c15)), f4(c12)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(97,plain,
% 0.20/0.40 ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | (~p3(f4(f5(f4(f5(c15)))), f4(c12))) | (~p3(f4(f5(f4(f5(c15)))), f4(f5(c15)))) | p3(f4(f5(c15)), f4(c12))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.20/0.40 tff(98,plain,
% 0.20/0.40 (p3(f4(f5(c15)), f4(c12))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[97, 80, 94, 84])).
% 0.20/0.40 tff(99,plain,
% 0.20/0.40 (((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(c15)), c15)) | (~p3(f4(f5(c15)), f4(c12))) | p3(c15, f4(c12)))) <=> ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | (~p3(f4(f5(c15)), c15)) | (~p3(f4(f5(c15)), f4(c12))) | p3(c15, f4(c12)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(100,plain,
% 0.20/0.40 (((~p3(f4(f5(c15)), f4(c12))) | (~p3(f4(f5(c15)), c15)) | p3(c15, f4(c12))) <=> ((~p3(f4(f5(c15)), c15)) | (~p3(f4(f5(c15)), f4(c12))) | p3(c15, f4(c12)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(101,plain,
% 0.20/0.40 (((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(c15)), f4(c12))) | (~p3(f4(f5(c15)), c15)) | p3(c15, f4(c12)))) <=> ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(c15)), c15)) | (~p3(f4(f5(c15)), f4(c12))) | p3(c15, f4(c12))))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[100])).
% 0.20/0.40 tff(102,plain,
% 0.20/0.40 (((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(c15)), f4(c12))) | (~p3(f4(f5(c15)), c15)) | p3(c15, f4(c12)))) <=> ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | (~p3(f4(f5(c15)), c15)) | (~p3(f4(f5(c15)), f4(c12))) | p3(c15, f4(c12)))),
% 0.20/0.40 inference(transitivity,[status(thm)],[101, 99])).
% 0.20/0.40 tff(103,plain,
% 0.20/0.40 ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | ((~p3(f4(f5(c15)), f4(c12))) | (~p3(f4(f5(c15)), c15)) | p3(c15, f4(c12)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(104,plain,
% 0.20/0.40 ((~![X14: $i, X12: $i, X13: $i] : ((~p3(X12, X14)) | (~p3(X12, X13)) | p3(X13, X14))) | (~p3(f4(f5(c15)), c15)) | (~p3(f4(f5(c15)), f4(c12))) | p3(c15, f4(c12))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.20/0.40 tff(105,plain,
% 0.20/0.40 (p3(c15, f4(c12))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[104, 80, 86, 98])).
% 0.20/0.40 tff(106,plain,
% 0.20/0.40 (^[X27: $i, X29: $i, X28: $i, X26: $i] : refl(((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27)) <=> ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(107,plain,
% 0.20/0.40 (![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27)) <=> ![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[106])).
% 0.20/0.40 tff(108,plain,
% 0.20/0.40 (![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27)) <=> ![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(109,plain,
% 0.20/0.40 (^[X27: $i, X29: $i, X28: $i, X26: $i] : trans(monotonicity(trans(monotonicity(rewrite((p9(X26, X27) | (~p7(X29, X27))) <=> ((~p7(X29, X27)) | p9(X26, X27))), (((p9(X26, X27) | (~p7(X29, X27))) | (~p9(X28, X29))) <=> (((~p7(X29, X27)) | p9(X26, X27)) | (~p9(X28, X29))))), rewrite((((~p7(X29, X27)) | p9(X26, X27)) | (~p9(X28, X29))) <=> ((~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))), (((p9(X26, X27) | (~p7(X29, X27))) | (~p9(X28, X29))) <=> ((~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27)))), ((((p9(X26, X27) | (~p7(X29, X27))) | (~p9(X28, X29))) | (~p3(X28, X26))) <=> (((~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27)) | (~p3(X28, X26))))), rewrite((((~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27)) | (~p3(X28, X26))) <=> ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))), ((((p9(X26, X27) | (~p7(X29, X27))) | (~p9(X28, X29))) | (~p3(X28, X26))) <=> ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(110,plain,
% 0.20/0.40 (![X27: $i, X29: $i, X28: $i, X26: $i] : (((p9(X26, X27) | (~p7(X29, X27))) | (~p9(X28, X29))) | (~p3(X28, X26))) <=> ![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[109])).
% 0.20/0.40 tff(111,axiom,(![X27: $i, X29: $i, X28: $i, X26: $i] : (((p9(X26, X27) | (~p7(X29, X27))) | (~p9(X28, X29))) | (~p3(X28, X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p9_19')).
% 0.20/0.40 tff(112,plain,
% 0.20/0.40 (![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.20/0.40 tff(113,plain,
% 0.20/0.40 (![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[112, 108])).
% 0.20/0.40 tff(114,plain,(
% 0.20/0.40 ![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))),
% 0.20/0.40 inference(skolemize,[status(sab)],[113])).
% 0.20/0.40 tff(115,plain,
% 0.20/0.40 (![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[114, 107])).
% 0.20/0.40 tff(116,plain,
% 0.20/0.40 ((~p9(f4(c12), f8(c13))) <=> (~p9(f4(c12), f8(c13)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(117,axiom,(~p9(f4(c12), f8(c13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_p9_10')).
% 0.20/0.40 tff(118,plain,
% 0.20/0.40 (~p9(f4(c12), f8(c13))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.20/0.40 tff(119,plain,
% 0.20/0.40 (p9(c15, f8(c13)) <=> p9(c15, f8(c13))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(120,axiom,(p9(c15, f8(c13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p9_7')).
% 0.20/0.40 tff(121,plain,
% 0.20/0.40 (p9(c15, f8(c13))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.20/0.40 tff(122,plain,
% 0.20/0.40 (((~![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))) | (p9(f4(c12), f8(c13)) | (~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13))))) <=> ((~![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))) | p9(f4(c12), f8(c13)) | (~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(123,plain,
% 0.20/0.40 (((~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13))) | p9(f4(c12), f8(c13))) <=> (p9(f4(c12), f8(c13)) | (~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(124,plain,
% 0.20/0.40 (((~![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))) | ((~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13))) | p9(f4(c12), f8(c13)))) <=> ((~![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))) | (p9(f4(c12), f8(c13)) | (~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13)))))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[123])).
% 0.20/0.40 tff(125,plain,
% 0.20/0.40 (((~![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))) | ((~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13))) | p9(f4(c12), f8(c13)))) <=> ((~![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))) | p9(f4(c12), f8(c13)) | (~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13))))),
% 0.20/0.40 inference(transitivity,[status(thm)],[124, 122])).
% 0.20/0.40 tff(126,plain,
% 0.20/0.40 ((~![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))) | ((~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13))) | p9(f4(c12), f8(c13)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(127,plain,
% 0.20/0.40 ((~![X27: $i, X29: $i, X28: $i, X26: $i] : ((~p3(X28, X26)) | (~p9(X28, X29)) | (~p7(X29, X27)) | p9(X26, X27))) | p9(f4(c12), f8(c13)) | (~p3(c15, f4(c12))) | (~p9(c15, f8(c13))) | (~p7(f8(c13), f8(c13)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.20/0.40 tff(128,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[127, 121, 118, 115, 105, 26])).
% 0.20/0.40 % SZS output end Proof
% 0.20/0.41 % E exiting
%------------------------------------------------------------------------------