0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.15/0.14 % Command : run_vampire %s %d 0.15/0.35 % Computer : n002.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1200 0.15/0.35 % WCLimit : 120 0.15/0.35 % DateTime : Tue Jul 13 15:17:03 EDT 2021 0.15/0.35 % CPUTime : 0.15/0.36 This is a CNF_ problem 0.15/0.36 Running vampire --ignore_missing on --mode casc --cores 0 -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.37 Running in auto input_syntax mode. Trying TPTP 0.22/0.38 % (10520)ott+10_5:1_av=off:bd=preordered:fde=unused:ins=3:nwc=1:thsq=on_268 on theBenchmark 0.22/0.38 % (10521)ott+10_40_av=off:bd=preordered:fde=none:ins=3:nwc=1.2:sp=weighted_frequency:uhcvi=on:thsq=on_975 on theBenchmark 0.22/0.38 % (10522)ott+10_32_av=off:ins=3:nwc=1:sp=reverse_arity:thsq=on_171 on theBenchmark 0.22/0.39 % (10519)lrs+10_28_av=off:ins=3:nwc=1:stl=30:thsq=on_188 on theBenchmark 0.22/0.39 % (10523)lrs+10_2:1_av=off:bd=off:fde=none:ins=3:lwlo=on:nwc=1:stl=90:uhcvi=on:thsq=on_292 on theBenchmark 0.22/0.44 % (10519)First to succeed. 0.22/0.44 % (10522)Also succeeded, but the first one will report. 0.22/0.44 % (10519)Refutation found. Thanks to Tanya! 0.22/0.44 % SZS status Unsatisfiable for theBenchmark 0.22/0.44 % SZS output start Proof for theBenchmark 0.22/0.44 fof(f542,plain,( 0.22/0.44 $false), 0.22/0.44 inference(subsumption_resolution,[],[f540,f6])). 0.22/0.44 fof(f6,plain,( 0.22/0.44 sP0(inverse(double_divide(a,b)))), 0.22/0.44 inference(inequality_splitting,[],[f4,f5])). 0.22/0.44 fof(f5,plain,( 0.22/0.44 ~sP0(inverse(double_divide(b,a)))), 0.22/0.44 introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])])). 0.22/0.44 fof(f4,plain,( 0.22/0.44 inverse(double_divide(b,a)) != inverse(double_divide(a,b))), 0.22/0.44 inference(definition_unfolding,[],[f1,f2,f2])). 0.22/0.44 fof(f2,axiom,( 0.22/0.44 ( ! [X0 : $i,X1 : $i] : (multiply(X0,X1) = inverse(double_divide(X1,X0))) )), 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply)). 0.22/0.44 fof(f1,axiom,( 0.22/0.44 multiply(a,b) != multiply(b,a)), 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4)). 0.22/0.44 fof(f540,plain,( 0.22/0.44 ~sP0(inverse(double_divide(a,b)))), 0.22/0.44 inference(backward_demodulation,[],[f5,f532])). 0.22/0.44 fof(f532,plain,( 0.22/0.44 ( ! [X8 : $i,X9 : $i] : (inverse(double_divide(X9,X8)) = inverse(double_divide(X8,X9))) )), 0.22/0.44 inference(backward_demodulation,[],[f283,f527])). 0.22/0.44 fof(f527,plain,( 0.22/0.44 ( ! [X14 : $i,X15 : $i,X13 : $i] : (double_divide(X15,X13) = inverse(double_divide(X14,double_divide(inverse(double_divide(X13,X14)),X15)))) )), 0.22/0.44 inference(forward_demodulation,[],[f526,f304])). 0.22/0.44 fof(f304,plain,( 0.22/0.44 ( ! [X0 : $i] : (inverse(inverse(X0)) = X0) )), 0.22/0.44 inference(superposition,[],[f270,f81])). 0.22/0.44 fof(f81,plain,( 0.22/0.44 ( ! [X4 : $i,X5 : $i,X3 : $i] : (double_divide(inverse(double_divide(X5,X3)),double_divide(X5,inverse(double_divide(X3,X4)))) = X4) )), 0.22/0.44 inference(superposition,[],[f60,f12])). 0.22/0.44 fof(f12,plain,( 0.22/0.44 ( ! [X6 : $i,X4 : $i,X7 : $i,X5 : $i] : (double_divide(X4,X6) = inverse(double_divide(inverse(double_divide(X5,X7)),double_divide(inverse(double_divide(inverse(double_divide(X4,X5)),X6)),X7)))) )), 0.22/0.44 inference(superposition,[],[f9,f9])). 0.22/0.44 fof(f9,plain,( 0.22/0.44 ( ! [X2 : $i,X3 : $i,X1 : $i] : (inverse(double_divide(inverse(double_divide(inverse(double_divide(X2,X1)),X3)),double_divide(X2,X3))) = X1) )), 0.22/0.44 inference(superposition,[],[f3,f7])). 0.22/0.44 fof(f7,plain,( 0.22/0.44 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,double_divide(X2,X3)))))) = inverse(double_divide(inverse(double_divide(X2,X1)),X3))) )), 0.22/0.44 inference(superposition,[],[f3,f3])). 0.22/0.44 fof(f3,axiom,( 0.22/0.44 ( ! [X2 : $i,X0 : $i,X1 : $i] : (inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1) )), 0.22/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom)). 0.22/0.44 fof(f60,plain,( 0.22/0.44 ( ! [X6 : $i,X4 : $i,X7 : $i] : (double_divide(X6,inverse(double_divide(X4,double_divide(inverse(double_divide(X6,X4)),X7)))) = X7) )), 0.22/0.44 inference(superposition,[],[f12,f11])). 0.22/0.44 fof(f11,plain,( 0.22/0.44 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (inverse(double_divide(inverse(double_divide(X1,X3)),double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X3))) = X2) )), 0.22/0.44 inference(superposition,[],[f9,f3])). 0.22/0.44 fof(f270,plain,( 0.22/0.44 ( ! [X2 : $i,X1 : $i] : (inverse(inverse(double_divide(X2,double_divide(X1,X2)))) = X1) )), 0.22/0.44 inference(backward_demodulation,[],[f211,f186])). 0.22/0.44 fof(f186,plain,( 0.22/0.44 ( ! [X2 : $i,X0 : $i,X1 : $i] : (inverse(double_divide(X2,X1)) = double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))) )), 0.22/0.44 inference(superposition,[],[f60,f156])). 0.22/0.44 fof(f156,plain,( 0.22/0.44 ( ! [X21 : $i,X19 : $i,X20 : $i] : (double_divide(X20,X21) = double_divide(inverse(double_divide(X20,inverse(X19))),inverse(double_divide(X21,X19)))) )), 0.22/0.44 inference(superposition,[],[f60,f97])). 0.22/0.44 fof(f97,plain,( 0.22/0.44 ( ! [X50 : $i,X53 : $i,X51 : $i] : (inverse(double_divide(inverse(X53),double_divide(X50,double_divide(X50,inverse(double_divide(X51,X53)))))) = X51) )), 0.22/0.44 inference(forward_demodulation,[],[f93,f80])). 0.22/0.44 fof(f80,plain,( 0.22/0.44 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (inverse(double_divide(X2,double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),X3))) = double_divide(X0,inverse(double_divide(X1,X3)))) )), 0.22/0.44 inference(superposition,[],[f60,f60])). 0.22/0.44 fof(f93,plain,( 0.22/0.44 ( ! [X52 : $i,X50 : $i,X53 : $i,X51 : $i] : (inverse(double_divide(inverse(X53),double_divide(X50,inverse(double_divide(X52,double_divide(inverse(double_divide(inverse(double_divide(X50,X51)),X52)),X53)))))) = X51) )), 0.22/0.44 inference(superposition,[],[f9,f60])). 0.22/0.44 fof(f211,plain,( 0.22/0.44 ( ! [X2 : $i,X0 : $i,X1 : $i] : (inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X0,X2))))) = X1) )), 0.22/0.44 inference(backward_demodulation,[],[f3,f180])). 0.22/0.44 fof(f180,plain,( 0.22/0.44 ( ! [X6 : $i,X4 : $i,X7 : $i,X5 : $i] : (double_divide(X7,inverse(double_divide(inverse(double_divide(X4,X5)),X6))) = double_divide(inverse(double_divide(X7,inverse(double_divide(X4,X6)))),X5)) )), 0.22/0.44 inference(superposition,[],[f156,f9])). 0.22/0.44 fof(f526,plain,( 0.22/0.44 ( ! [X14 : $i,X15 : $i,X13 : $i] : (inverse(double_divide(X14,double_divide(inverse(double_divide(X13,X14)),X15))) = inverse(inverse(double_divide(X15,X13)))) )), 0.22/0.44 inference(forward_demodulation,[],[f524,f322])). 0.22/0.44 fof(f322,plain,( 0.22/0.44 ( ! [X0 : $i,X1 : $i] : (double_divide(X0,double_divide(X1,X0)) = X1) )), 0.22/0.44 inference(superposition,[],[f304,f270])). 0.22/0.44 fof(f524,plain,( 0.22/0.44 ( ! [X14 : $i,X15 : $i,X13 : $i,X16 : $i] : (inverse(double_divide(X14,double_divide(inverse(double_divide(X13,X14)),X15))) = inverse(inverse(double_divide(X15,double_divide(X16,double_divide(X13,X16)))))) )), 0.22/0.44 inference(backward_demodulation,[],[f85,f510])). 0.22/0.44 fof(f510,plain,( 0.22/0.44 ( ! [X24 : $i,X21 : $i,X22 : $i] : (inverse(double_divide(X24,double_divide(X21,X22))) = double_divide(inverse(double_divide(inverse(X24),X21)),X22)) )), 0.22/0.44 inference(backward_demodulation,[],[f387,f385])). 0.22/0.44 fof(f385,plain,( 0.22/0.44 ( ! [X2 : $i,X0 : $i,X1 : $i] : (inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))) = inverse(double_divide(inverse(X2),X1))) )), 0.22/0.44 inference(backward_demodulation,[],[f143,f365])). 0.22/0.44 fof(f365,plain,( 0.22/0.44 ( ! [X0 : $i,X1 : $i] : (double_divide(X1,double_divide(X1,X0)) = X0) )), 0.22/0.44 inference(forward_demodulation,[],[f355,f304])). 0.22/0.44 fof(f355,plain,( 0.22/0.44 ( ! [X0 : $i,X1 : $i] : (double_divide(X1,inverse(inverse(double_divide(X1,X0)))) = X0) )), 0.22/0.44 inference(superposition,[],[f60,f322])). 0.22/0.44 fof(f143,plain,( 0.22/0.44 ( ! [X2 : $i,X0 : $i,X3 : $i,X1 : $i] : (inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))) = inverse(double_divide(inverse(X2),double_divide(X3,double_divide(X3,X1))))) )), 0.22/0.44 inference(superposition,[],[f97,f3])). 0.22/0.44 fof(f387,plain,( 0.22/0.44 ( ! [X24 : $i,X23 : $i,X21 : $i,X22 : $i] : (double_divide(inverse(double_divide(X23,inverse(double_divide(X21,double_divide(X23,X24))))),X22) = inverse(double_divide(X24,double_divide(X21,X22)))) )), 0.22/0.44 inference(backward_demodulation,[],[f38,f366])). 0.22/0.44 fof(f366,plain,( 0.22/0.44 ( ! [X48 : $i,X46 : $i,X49 : $i] : (inverse(double_divide(inverse(double_divide(X46,X49)),double_divide(inverse(X48),X49))) = inverse(double_divide(X46,X48))) )), 0.22/0.44 inference(backward_demodulation,[],[f96,f365])). 0.22/0.44 fof(f96,plain,( 0.22/0.44 ( ! [X45 : $i,X48 : $i,X46 : $i,X49 : $i] : (inverse(double_divide(inverse(double_divide(X46,X49)),double_divide(inverse(X48),X49))) = double_divide(X45,double_divide(X45,inverse(double_divide(X46,X48))))) )), 0.22/0.44 inference(forward_demodulation,[],[f92,f80])). 0.22/0.44 fof(f92,plain,( 0.22/0.44 ( ! [X47 : $i,X45 : $i,X48 : $i,X46 : $i,X49 : $i] : (double_divide(X45,inverse(double_divide(X47,double_divide(inverse(double_divide(inverse(double_divide(X45,X46)),X47)),X48)))) = inverse(double_divide(inverse(double_divide(X46,X49)),double_divide(inverse(X48),X49)))) )), 0.22/0.44 inference(superposition,[],[f12,f60])). 0.22/0.44 fof(f38,plain,( 0.22/0.44 ( ! [X24 : $i,X23 : $i,X21 : $i,X25 : $i,X22 : $i] : (double_divide(inverse(double_divide(X23,inverse(double_divide(X21,double_divide(X23,X24))))),X22) = inverse(double_divide(inverse(double_divide(X24,X25)),double_divide(inverse(double_divide(X21,X22)),X25)))) )), 0.22/0.44 inference(superposition,[],[f9,f11])). 0.22/0.44 fof(f85,plain,( 0.22/0.44 ( ! [X14 : $i,X15 : $i,X13 : $i,X16 : $i] : (inverse(double_divide(X14,double_divide(inverse(double_divide(X13,X14)),X15))) = inverse(double_divide(inverse(double_divide(inverse(X15),X16)),double_divide(X13,X16)))) )), 0.22/0.44 inference(superposition,[],[f9,f60])). 0.22/0.44 fof(f283,plain,( 0.22/0.44 ( ! [X8 : $i,X11 : $i,X9 : $i] : (inverse(double_divide(X8,X9)) = inverse(inverse(double_divide(X11,double_divide(inverse(double_divide(X8,X11)),X9))))) )), 0.22/0.44 inference(backward_demodulation,[],[f249,f186])). 0.22/0.44 fof(f249,plain,( 0.22/0.44 ( ! [X10 : $i,X8 : $i,X11 : $i,X9 : $i] : (inverse(double_divide(X8,X9)) = inverse(double_divide(X10,inverse(double_divide(inverse(double_divide(inverse(double_divide(X8,X11)),X9)),double_divide(X10,X11)))))) )), 0.22/0.44 inference(forward_demodulation,[],[f248,f144])). 0.22/0.44 fof(f144,plain,( 0.22/0.44 ( ! [X6 : $i,X4 : $i,X7 : $i,X5 : $i] : (inverse(double_divide(inverse(double_divide(X4,X5)),X6)) = inverse(double_divide(inverse(double_divide(X4,X6)),double_divide(X7,double_divide(X7,X5))))) )), 0.22/0.44 inference(superposition,[],[f97,f9])). 0.22/0.44 fof(f248,plain,( 0.22/0.44 ( ! [X12 : $i,X10 : $i,X8 : $i,X11 : $i,X9 : $i] : (inverse(double_divide(X8,X9)) = inverse(double_divide(X10,inverse(double_divide(inverse(double_divide(inverse(double_divide(X8,X9)),double_divide(X12,double_divide(X12,X11)))),double_divide(X10,X11)))))) )), 0.22/0.44 inference(forward_demodulation,[],[f222,f180])). 0.22/0.44 fof(f222,plain,( 0.22/0.44 ( ! [X12 : $i,X10 : $i,X8 : $i,X11 : $i,X9 : $i] : (inverse(double_divide(X8,X9)) = inverse(double_divide(inverse(double_divide(X10,inverse(double_divide(inverse(double_divide(X8,X9)),double_divide(X10,X11))))),double_divide(X12,double_divide(X12,X11))))) )), 0.22/0.44 inference(backward_demodulation,[],[f145,f180])). 0.22/0.44 fof(f145,plain,( 0.22/0.44 ( ! [X12 : $i,X10 : $i,X8 : $i,X11 : $i,X9 : $i] : (inverse(double_divide(X8,X9)) = inverse(double_divide(inverse(double_divide(inverse(double_divide(X10,inverse(double_divide(X8,double_divide(X10,X11))))),X9)),double_divide(X12,double_divide(X12,X11))))) )), 0.22/0.44 inference(superposition,[],[f97,f11])). 0.22/0.44 % SZS output end Proof for theBenchmark 0.22/0.44 % (10519)------------------------------ 0.22/0.44 % (10519)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100) 0.22/0.44 % (10519)Termination reason: Refutation 0.22/0.44 0.22/0.44 % (10519)Memory used [KB]: 2174 0.22/0.44 % (10519)Time elapsed: 0.056 s 0.22/0.44 % (10519)------------------------------ 0.22/0.44 % (10519)------------------------------ 0.22/0.44 % (10518)Success in time 0.075 s 0.22/0.44 EOF