%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN712-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:39:53 AM UTC 2025
% Result : Unsatisfiable 0.17s 0.48s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SYN712-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.10 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n015.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Jun 20 12:40:56 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.17/0.48 % SZS status Unsatisfiable
% 0.17/0.48 % SZS output start Proof
% 0.17/0.48 tff(p62_type, type, (
% 0.17/0.48 p62: ( $i * $i ) > $o)).
% 0.17/0.48 tff(c69_type, type, (
% 0.17/0.48 c69: $i)).
% 0.17/0.48 tff(f23_type, type, (
% 0.17/0.48 f23: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c72_type, type, (
% 0.17/0.48 c72: $i)).
% 0.17/0.48 tff(f25_type, type, (
% 0.17/0.48 f25: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c71_type, type, (
% 0.17/0.48 c71: $i)).
% 0.17/0.48 tff(f27_type, type, (
% 0.17/0.48 f27: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c68_type, type, (
% 0.17/0.48 c68: $i)).
% 0.17/0.48 tff(f29_type, type, (
% 0.17/0.48 f29: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c67_type, type, (
% 0.17/0.48 c67: $i)).
% 0.17/0.48 tff(f31_type, type, (
% 0.17/0.48 f31: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c66_type, type, (
% 0.17/0.48 c66: $i)).
% 0.17/0.48 tff(c74_type, type, (
% 0.17/0.48 c74: $i)).
% 0.17/0.48 tff(f5_type, type, (
% 0.17/0.48 f5: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f8_type, type, (
% 0.17/0.48 f8: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f53_type, type, (
% 0.17/0.48 f53: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f55_type, type, (
% 0.17/0.48 f55: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f57_type, type, (
% 0.17/0.48 f57: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f59_type, type, (
% 0.17/0.48 f59: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f61_type, type, (
% 0.17/0.48 f61: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c76_type, type, (
% 0.17/0.48 c76: $i)).
% 0.17/0.48 tff(f11_type, type, (
% 0.17/0.48 f11: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f43_type, type, (
% 0.17/0.48 f43: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f45_type, type, (
% 0.17/0.48 f45: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f47_type, type, (
% 0.17/0.48 f47: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f49_type, type, (
% 0.17/0.48 f49: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f51_type, type, (
% 0.17/0.48 f51: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c75_type, type, (
% 0.17/0.48 c75: $i)).
% 0.17/0.48 tff(f13_type, type, (
% 0.17/0.48 f13: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c65_type, type, (
% 0.17/0.48 c65: $i)).
% 0.17/0.48 tff(c64_type, type, (
% 0.17/0.48 c64: $i)).
% 0.17/0.48 tff(p4_type, type, (
% 0.17/0.48 p4: ( $i * $i ) > $o)).
% 0.17/0.48 tff(f16_type, type, (
% 0.17/0.48 f16: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f19_type, type, (
% 0.17/0.48 f19: ( $i * $i ) > $i)).
% 0.17/0.48 tff(f21_type, type, (
% 0.17/0.48 f21: ( $i * $i ) > $i)).
% 0.17/0.48 tff(c70_type, type, (
% 0.17/0.48 c70: $i)).
% 0.17/0.48 tff(p3_type, type, (
% 0.17/0.48 p3: ( $i * $i ) > $o)).
% 0.17/0.48 tff(p2_type, type, (
% 0.17/0.48 p2: ( $i * $i ) > $o)).
% 0.17/0.48 tff(p32_type, type, (
% 0.17/0.48 p32: ( $i * $i ) > $o)).
% 0.17/0.48 tff(1,plain,
% 0.17/0.48 (^[X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : refl(p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28))) <=> p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28))))),
% 0.17/0.48 inference(bind,[status(th)],[])).
% 0.17/0.48 tff(2,plain,
% 0.17/0.48 (![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28))) <=> ![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28)))),
% 0.17/0.48 inference(quant_intro,[status(thm)],[1])).
% 0.17/0.48 tff(3,plain,
% 0.17/0.48 (![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28))) <=> ![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28)))),
% 0.17/0.48 inference(rewrite,[status(thm)],[])).
% 0.17/0.48 tff(4,axiom,(![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p3_104')).
% 0.17/0.48 tff(5,plain,
% 0.17/0.48 (![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28)))),
% 0.17/0.48 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.17/0.48 tff(6,plain,(
% 0.17/0.48 ![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28)))),
% 0.17/0.48 inference(skolemize,[status(sab)],[5])).
% 0.17/0.48 tff(7,plain,
% 0.17/0.48 (![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28)))),
% 0.17/0.48 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.17/0.48 tff(8,plain,
% 0.17/0.48 ((~![X25: $i, X27: $i, X28: $i, X26: $i, X24: $i] : p3(f16(f19(f21(c70, f8(f11(f13(c65, X24), X25), X26)), X27), X28), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28)), f43(f45(f47(f49(f51(c75, X24), X25), X26), X27), X28)), f53(f55(f57(f59(f61(c76, X24), X25), X26), X27), X28)))) | p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))),
% 0.17/0.48 inference(quant_inst,[status(thm)],[])).
% 0.17/0.48 tff(9,plain,
% 0.17/0.48 (p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))),
% 0.17/0.48 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.17/0.48 tff(10,assumption,(~p2(c64, c64)), introduced(assumption)).
% 0.17/0.48 tff(11,plain,
% 0.17/0.48 (^[X44: $i] : refl(p2(X44, X44) <=> p2(X44, X44))),
% 0.17/0.48 inference(bind,[status(th)],[])).
% 0.17/0.48 tff(12,plain,
% 0.17/0.48 (![X44: $i] : p2(X44, X44) <=> ![X44: $i] : p2(X44, X44)),
% 0.17/0.48 inference(quant_intro,[status(thm)],[11])).
% 0.17/0.48 tff(13,plain,
% 0.17/0.48 (![X44: $i] : p2(X44, X44) <=> ![X44: $i] : p2(X44, X44)),
% 0.17/0.48 inference(rewrite,[status(thm)],[])).
% 0.17/0.48 tff(14,axiom,(![X44: $i] : p2(X44, X44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p2_28')).
% 0.17/0.48 tff(15,plain,
% 0.17/0.48 (![X44: $i] : p2(X44, X44)),
% 0.17/0.48 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.17/0.48 tff(16,plain,(
% 0.17/0.48 ![X44: $i] : p2(X44, X44)),
% 0.17/0.48 inference(skolemize,[status(sab)],[15])).
% 0.17/0.48 tff(17,plain,
% 0.17/0.48 (![X44: $i] : p2(X44, X44)),
% 0.17/0.48 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.17/0.48 tff(18,plain,
% 0.17/0.48 ((~![X44: $i] : p2(X44, X44)) | p2(c64, c64)),
% 0.17/0.48 inference(quant_inst,[status(thm)],[])).
% 0.17/0.48 tff(19,plain,
% 0.17/0.48 ($false),
% 0.17/0.48 inference(unit_resolution,[status(thm)],[18, 17, 10])).
% 0.17/0.48 tff(20,plain,(p2(c64, c64)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.48 tff(21,plain,
% 0.17/0.48 (^[X124: $i, X123: $i, X125: $i, X126: $i] : refl(((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126))) <=> ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126))))),
% 0.17/0.48 inference(bind,[status(th)],[])).
% 0.17/0.48 tff(22,plain,
% 0.17/0.48 (![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126))) <=> ![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))),
% 0.17/0.48 inference(quant_intro,[status(thm)],[21])).
% 0.17/0.48 tff(23,plain,
% 0.17/0.48 (![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126))) <=> ![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))),
% 0.17/0.48 inference(rewrite,[status(thm)],[])).
% 0.17/0.48 tff(24,plain,
% 0.17/0.49 (^[X124: $i, X123: $i, X125: $i, X126: $i] : trans(monotonicity(rewrite((p4(f5(X123, X124), f5(X125, X126)) | (~p2(X123, X125))) <=> ((~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))), (((p4(f5(X123, X124), f5(X125, X126)) | (~p2(X123, X125))) | (~p3(X124, X126))) <=> (((~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126))) | (~p3(X124, X126))))), rewrite((((~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126))) | (~p3(X124, X126))) <=> ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))), (((p4(f5(X123, X124), f5(X125, X126)) | (~p2(X123, X125))) | (~p3(X124, X126))) <=> ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))))),
% 0.17/0.49 inference(bind,[status(th)],[])).
% 0.17/0.49 tff(25,plain,
% 0.17/0.49 (![X124: $i, X123: $i, X125: $i, X126: $i] : ((p4(f5(X123, X124), f5(X125, X126)) | (~p2(X123, X125))) | (~p3(X124, X126))) <=> ![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))),
% 0.17/0.49 inference(quant_intro,[status(thm)],[24])).
% 0.17/0.49 tff(26,axiom,(![X124: $i, X123: $i, X125: $i, X126: $i] : ((p4(f5(X123, X124), f5(X125, X126)) | (~p2(X123, X125))) | (~p3(X124, X126)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p4_82')).
% 0.17/0.49 tff(27,plain,
% 0.17/0.49 (![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.17/0.49 tff(28,plain,
% 0.17/0.49 (![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.17/0.49 tff(29,plain,(
% 0.17/0.49 ![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))),
% 0.17/0.49 inference(skolemize,[status(sab)],[28])).
% 0.17/0.49 tff(30,plain,
% 0.17/0.49 (![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[29, 22])).
% 0.17/0.49 tff(31,plain,
% 0.17/0.49 (((~![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))) | ((~p2(c64, c64)) | (~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))))) <=> ((~![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))) | (~p2(c64, c64)) | (~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(32,plain,
% 0.17/0.49 (((~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | (~p2(c64, c64)) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))))) <=> ((~p2(c64, c64)) | (~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(33,plain,
% 0.17/0.49 (((~![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))) | ((~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | (~p2(c64, c64)) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))))) <=> ((~![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))) | ((~p2(c64, c64)) | (~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))))))),
% 0.17/0.49 inference(monotonicity,[status(thm)],[32])).
% 0.17/0.49 tff(34,plain,
% 0.17/0.49 (((~![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))) | ((~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | (~p2(c64, c64)) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))))) <=> ((~![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))) | (~p2(c64, c64)) | (~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))))),
% 0.17/0.49 inference(transitivity,[status(thm)],[33, 31])).
% 0.17/0.49 tff(35,plain,
% 0.17/0.49 ((~![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))) | ((~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | (~p2(c64, c64)) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))))),
% 0.17/0.49 inference(quant_inst,[status(thm)],[])).
% 0.17/0.49 tff(36,plain,
% 0.17/0.49 ((~![X124: $i, X123: $i, X125: $i, X126: $i] : ((~p3(X124, X126)) | (~p2(X123, X125)) | p4(f5(X123, X124), f5(X125, X126)))) | (~p2(c64, c64)) | (~p3(f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72), f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72)))) | p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))))),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.17/0.49 tff(37,plain,
% 0.17/0.49 (p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))))),
% 0.17/0.49 inference(unit_resolution,[status(thm)],[36, 30, 20, 9])).
% 0.17/0.49 tff(38,assumption,(~p32(c69, c69)), introduced(assumption)).
% 0.17/0.49 tff(39,plain,
% 0.17/0.49 (^[X92: $i] : refl(p32(X92, X92) <=> p32(X92, X92))),
% 0.17/0.49 inference(bind,[status(th)],[])).
% 0.17/0.49 tff(40,plain,
% 0.17/0.49 (![X92: $i] : p32(X92, X92) <=> ![X92: $i] : p32(X92, X92)),
% 0.17/0.49 inference(quant_intro,[status(thm)],[39])).
% 0.17/0.49 tff(41,plain,
% 0.17/0.49 (![X92: $i] : p32(X92, X92) <=> ![X92: $i] : p32(X92, X92)),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(42,axiom,(![X92: $i] : p32(X92, X92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p32_20')).
% 0.17/0.49 tff(43,plain,
% 0.17/0.49 (![X92: $i] : p32(X92, X92)),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.17/0.49 tff(44,plain,(
% 0.17/0.49 ![X92: $i] : p32(X92, X92)),
% 0.17/0.49 inference(skolemize,[status(sab)],[43])).
% 0.17/0.49 tff(45,plain,
% 0.17/0.49 (![X92: $i] : p32(X92, X92)),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.17/0.49 tff(46,plain,
% 0.17/0.49 ((~![X92: $i] : p32(X92, X92)) | p32(c69, c69)),
% 0.17/0.49 inference(quant_inst,[status(thm)],[])).
% 0.17/0.49 tff(47,plain,
% 0.17/0.49 ($false),
% 0.17/0.49 inference(unit_resolution,[status(thm)],[46, 45, 38])).
% 0.17/0.49 tff(48,plain,(p32(c69, c69)), inference(lemma,lemma(discharge,[]))).
% 0.17/0.49 tff(49,plain,
% 0.17/0.49 (p62(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), c69) <=> p62(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), c69)),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(50,axiom,(p62(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), c69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p62_100')).
% 0.17/0.49 tff(51,plain,
% 0.17/0.49 (p62(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), c69)),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.17/0.49 tff(52,plain,
% 0.17/0.49 (^[X202: $i, X201: $i, X200: $i, X199: $i] : refl(((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200)) <=> ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200)))),
% 0.17/0.49 inference(bind,[status(th)],[])).
% 0.17/0.49 tff(53,plain,
% 0.17/0.49 (![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200)) <=> ![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))),
% 0.17/0.49 inference(quant_intro,[status(thm)],[52])).
% 0.17/0.49 tff(54,plain,
% 0.17/0.49 (![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200)) <=> ![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(55,plain,
% 0.17/0.49 (^[X202: $i, X201: $i, X200: $i, X199: $i] : trans(monotonicity(trans(monotonicity(rewrite((p62(X199, X200) | (~p4(X202, X199))) <=> ((~p4(X202, X199)) | p62(X199, X200))), (((p62(X199, X200) | (~p4(X202, X199))) | (~p62(X202, X201))) <=> (((~p4(X202, X199)) | p62(X199, X200)) | (~p62(X202, X201))))), rewrite((((~p4(X202, X199)) | p62(X199, X200)) | (~p62(X202, X201))) <=> ((~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))), (((p62(X199, X200) | (~p4(X202, X199))) | (~p62(X202, X201))) <=> ((~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200)))), ((((p62(X199, X200) | (~p4(X202, X199))) | (~p62(X202, X201))) | (~p32(X201, X200))) <=> (((~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200)) | (~p32(X201, X200))))), rewrite((((~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200)) | (~p32(X201, X200))) <=> ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))), ((((p62(X199, X200) | (~p4(X202, X199))) | (~p62(X202, X201))) | (~p32(X201, X200))) <=> ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))))),
% 0.17/0.49 inference(bind,[status(th)],[])).
% 0.17/0.49 tff(56,plain,
% 0.17/0.49 (![X202: $i, X201: $i, X200: $i, X199: $i] : (((p62(X199, X200) | (~p4(X202, X199))) | (~p62(X202, X201))) | (~p32(X201, X200))) <=> ![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))),
% 0.17/0.49 inference(quant_intro,[status(thm)],[55])).
% 0.17/0.49 tff(57,axiom,(![X202: $i, X201: $i, X200: $i, X199: $i] : (((p62(X199, X200) | (~p4(X202, X199))) | (~p62(X202, X201))) | (~p32(X201, X200)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p62_69')).
% 0.17/0.49 tff(58,plain,
% 0.17/0.49 (![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.17/0.49 tff(59,plain,
% 0.17/0.49 (![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[58, 54])).
% 0.17/0.49 tff(60,plain,(
% 0.17/0.49 ![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))),
% 0.17/0.49 inference(skolemize,[status(sab)],[59])).
% 0.17/0.49 tff(61,plain,
% 0.17/0.49 (![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))),
% 0.17/0.49 inference(modus_ponens,[status(thm)],[60, 53])).
% 0.17/0.49 tff(62,plain,
% 0.17/0.49 (((~![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))) | ((~p32(c69, c69)) | (~p62(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), c69)) | (~p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))))) | p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69))) <=> ((~![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))) | (~p32(c69, c69)) | (~p62(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), c69)) | (~p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))))) | p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(63,plain,
% 0.17/0.49 ((~![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))) | ((~p32(c69, c69)) | (~p62(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), c69)) | (~p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))))) | p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69))),
% 0.17/0.50 inference(quant_inst,[status(thm)],[])).
% 0.17/0.50 tff(64,plain,
% 0.17/0.50 ((~![X202: $i, X201: $i, X200: $i, X199: $i] : ((~p32(X201, X200)) | (~p62(X202, X201)) | (~p4(X202, X199)) | p62(X199, X200))) | (~p32(c69, c69)) | (~p62(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), c69)) | (~p4(f5(c64, f16(f19(f21(c70, f8(f11(f13(c65, c66), c67), c68)), c71), c72)), f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))))) | p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69)),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.17/0.50 tff(65,plain,
% 0.17/0.50 (p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69)),
% 0.17/0.50 inference(unit_resolution,[status(thm)],[64, 61, 51, 48, 37])).
% 0.17/0.50 tff(66,plain,
% 0.17/0.50 (^[X204: $i, X206: $i, X205: $i, X203: $i] : refl(((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204)) <=> ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204)))),
% 0.17/0.50 inference(bind,[status(th)],[])).
% 0.17/0.50 tff(67,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204)) <=> ![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))),
% 0.17/0.50 inference(quant_intro,[status(thm)],[66])).
% 0.17/0.50 tff(68,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204)) <=> ![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(69,plain,
% 0.17/0.50 (^[X204: $i, X206: $i, X205: $i, X203: $i] : rewrite((p62(X203, X204) | (~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204))) <=> ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204)))),
% 0.17/0.50 inference(bind,[status(th)],[])).
% 0.17/0.50 tff(70,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(X203, X204) | (~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204))) <=> ![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))),
% 0.17/0.50 inference(quant_intro,[status(thm)],[69])).
% 0.17/0.50 tff(71,axiom,(![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(X203, X204) | (~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p62_97')).
% 0.17/0.50 tff(72,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.17/0.50 tff(73,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[72, 68])).
% 0.17/0.50 tff(74,plain,(
% 0.17/0.50 ![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))),
% 0.17/0.50 inference(skolemize,[status(sab)],[73])).
% 0.17/0.50 tff(75,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[74, 67])).
% 0.17/0.50 tff(76,plain,
% 0.17/0.50 (((~![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))) | ((~p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69)) | p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69))) <=> ((~![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))) | (~p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69)) | p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69))),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(77,plain,
% 0.17/0.50 ((~![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))) | ((~p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69)) | p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69))),
% 0.17/0.50 inference(quant_inst,[status(thm)],[])).
% 0.17/0.50 tff(78,plain,
% 0.17/0.50 ((~![X204: $i, X206: $i, X205: $i, X203: $i] : ((~p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204)) | p62(X203, X204))) | (~p62(f5(c64, f8(f11(f13(c65, f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72)), f43(f45(f47(f49(f51(c75, c66), c67), c68), c71), c72)), f53(f55(f57(f59(f61(c76, c66), c67), c68), c71), c72))), c69)) | p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69)),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.17/0.50 tff(79,plain,
% 0.17/0.50 (p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69)),
% 0.17/0.50 inference(unit_resolution,[status(thm)],[78, 75, 65])).
% 0.17/0.50 tff(80,plain,
% 0.17/0.50 (^[X204: $i, X206: $i, X205: $i, X203: $i] : refl((p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204))) <=> (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204))))),
% 0.17/0.50 inference(bind,[status(th)],[])).
% 0.17/0.50 tff(81,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204))) <=> ![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))),
% 0.17/0.50 inference(quant_intro,[status(thm)],[80])).
% 0.17/0.50 tff(82,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204))) <=> ![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(83,axiom,(![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p62_98')).
% 0.17/0.50 tff(84,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.17/0.50 tff(85,plain,(
% 0.17/0.50 ![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))),
% 0.17/0.50 inference(skolemize,[status(sab)],[84])).
% 0.17/0.50 tff(86,plain,
% 0.17/0.50 (![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.17/0.50 tff(87,plain,
% 0.17/0.50 ((~p62(f5(c64, f8(f11(f13(c65, c66), c67), c68)), c69)) <=> (~p62(f5(c64, f8(f11(f13(c65, c66), c67), c68)), c69))),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(88,axiom,(~p62(f5(c64, f8(f11(f13(c65, c66), c67), c68)), c69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','not_p62_67')).
% 0.17/0.50 tff(89,plain,
% 0.17/0.50 (~p62(f5(c64, f8(f11(f13(c65, c66), c67), c68)), c69)),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.17/0.50 tff(90,plain,
% 0.17/0.50 (((~![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))) | (p62(f5(c64, f8(f11(f13(c65, c66), c67), c68)), c69) | (~p62(c66, c69)))) <=> ((~![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))) | p62(f5(c64, f8(f11(f13(c65, c66), c67), c68)), c69) | (~p62(c66, c69)))),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(91,plain,
% 0.17/0.50 ((~![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))) | (p62(f5(c64, f8(f11(f13(c65, c66), c67), c68)), c69) | (~p62(c66, c69)))),
% 0.17/0.50 inference(quant_inst,[status(thm)],[])).
% 0.17/0.50 tff(92,plain,
% 0.17/0.50 ((~![X204: $i, X206: $i, X205: $i, X203: $i] : (p62(f5(c64, f8(f11(f13(c65, X203), X205), X206)), X204) | (~p62(X203, X204)))) | p62(f5(c64, f8(f11(f13(c65, c66), c67), c68)), c69) | (~p62(c66, c69))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.17/0.50 tff(93,plain,
% 0.17/0.50 (~p62(c66, c69)),
% 0.17/0.50 inference(unit_resolution,[status(thm)],[92, 89, 86])).
% 0.17/0.50 tff(94,plain,
% 0.17/0.50 (^[X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : refl((p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29))) <=> (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29))))),
% 0.17/0.50 inference(bind,[status(th)],[])).
% 0.17/0.50 tff(95,plain,
% 0.17/0.50 (![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29))) <=> ![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))),
% 0.17/0.50 inference(quant_intro,[status(thm)],[94])).
% 0.17/0.50 tff(96,plain,
% 0.17/0.50 (![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29))) <=> ![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(97,axiom,(![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','p62_99')).
% 0.17/0.50 tff(98,plain,
% 0.17/0.50 (![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.17/0.50 tff(99,plain,(
% 0.17/0.50 ![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))),
% 0.17/0.50 inference(skolemize,[status(sab)],[98])).
% 0.17/0.50 tff(100,plain,
% 0.17/0.50 (![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.17/0.50 tff(101,plain,
% 0.17/0.50 (((~![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))) | (p62(c66, c69) | (~p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69)))) <=> ((~![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))) | p62(c66, c69) | (~p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69)))),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(102,plain,
% 0.17/0.50 ((~![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))) | (p62(c66, c69) | (~p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69)))),
% 0.17/0.50 inference(quant_inst,[status(thm)],[])).
% 0.17/0.50 tff(103,plain,
% 0.17/0.50 ((~![X25: $i, X27: $i, X29: $i, X28: $i, X26: $i, X24: $i] : (p62(X24, X29) | (~p62(f23(f25(f27(f29(f31(c74, X24), X25), X26), X27), X28), X29)))) | p62(c66, c69) | (~p62(f23(f25(f27(f29(f31(c74, c66), c67), c68), c71), c72), c69))),
% 0.17/0.50 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.17/0.50 tff(104,plain,
% 0.17/0.50 ($false),
% 0.17/0.50 inference(unit_resolution,[status(thm)],[103, 100, 93, 79])).
% 0.17/0.50 % SZS output end Proof
% 0.17/0.51 % E exiting
%------------------------------------------------------------------------------