0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : vampire --mode casc -t %d %s 0.12/0.32 % Computer : n004.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 960 0.12/0.32 % DateTime : Thu Jul 2 08:29:13 EDT 2020 0.12/0.33 % CPUTime : 0.18/0.39 % lrs+1_1_aac=none:acc=model:add=large:afp=100000:afq=1.2:anc=none:bd=off:bs=on:bsr=on:ccuc=first:cond=on:fde=unused:irw=on:nm=2:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:uhcvi=on_2 on theBenchmark 0.69/0.89 % Time limit reached! 0.69/0.89 % ------------------------------ 0.69/0.89 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.69/0.89 % Termination reason: Time limit 0.69/0.89 % Termination phase: Saturation 0.69/0.89 0.69/0.89 % Memory used [KB]: 21492 0.69/0.89 % Time elapsed: 0.500 s 0.69/0.89 % ------------------------------ 0.69/0.89 % ------------------------------ 0.69/0.92 % lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 1.19/1.42 % Time limit reached! 1.19/1.42 % ------------------------------ 1.19/1.42 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.19/1.42 % Termination reason: Time limit 1.19/1.42 % Termination phase: Saturation 1.19/1.42 1.19/1.42 % Memory used [KB]: 24562 1.19/1.42 % Time elapsed: 0.500 s 1.19/1.42 % ------------------------------ 1.19/1.42 % ------------------------------ 1.26/1.45 % lrs+1010_2:1_aac=none:afr=on:afp=10000:afq=1.4:amm=sco:anc=none:gs=on:gsem=off:irw=on:nm=16:nwc=3:stl=30_7 on theBenchmark 2.39/2.55 % Time limit reached! 2.39/2.55 % ------------------------------ 2.39/2.55 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.39/2.55 % Termination reason: Time limit 2.39/2.55 % Termination phase: Saturation 2.39/2.55 2.39/2.55 % Memory used [KB]: 22003 2.39/2.55 % Time elapsed: 1.100 s 2.39/2.55 % ------------------------------ 2.39/2.55 % ------------------------------ 2.42/2.58 % dis+1011_5:4_acc=model:afr=on:afp=10000:afq=1.4:amm=off:anc=none:bd=off:ccuc=small_ones:cond=fast:fde=unused:gs=on:nm=2:newcnf=on:nwc=1:nicw=on:sos=on:sac=on:sp=occurrence:updr=off_9 on theBenchmark 2.42/2.58 % Refutation not found, incomplete strategy 2.42/2.58 % ------------------------------ 2.42/2.58 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.42/2.58 % Termination reason: Refutation not found, incomplete strategy 2.42/2.58 2.42/2.58 % Memory used [KB]: 9722 2.42/2.58 % Time elapsed: 0.003 s 2.42/2.58 % ------------------------------ 2.42/2.58 % ------------------------------ 2.42/2.61 % lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_11 on theBenchmark 2.46/2.67 % Refutation found. Thanks to Tanya! 2.46/2.67 % SZS status Theorem for theBenchmark 2.46/2.67 % SZS output start Proof for theBenchmark 2.46/2.67 fof(f2834,plain,( 2.46/2.67 $false), 2.46/2.67 inference(subsumption_resolution,[],[f2825,f43])). 2.46/2.67 fof(f43,plain,( 2.46/2.67 ( ! [X0] : (addition(X0,X0) = X0) )), 2.46/2.67 inference(cnf_transformation,[],[f6])). 2.46/2.67 fof(f6,axiom,( 2.46/2.67 ! [X0] : addition(X0,X0) = X0), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence)). 2.46/2.67 fof(f2825,plain,( 2.46/2.67 addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)) != addition(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(resolution,[],[f2472,f59])). 2.46/2.67 fof(f59,plain,( 2.46/2.67 ( ! [X0,X1] : (leq(X0,X1) | addition(X0,X1) != X1) )), 2.46/2.67 inference(cnf_transformation,[],[f38])). 2.46/2.67 fof(f38,plain,( 2.46/2.67 ! [X0,X1] : ((leq(X0,X1) | addition(X0,X1) != X1) & (addition(X0,X1) = X1 | ~leq(X0,X1)))), 2.46/2.67 inference(nnf_transformation,[],[f8])). 2.46/2.67 fof(f8,axiom,( 2.46/2.67 ! [X0,X1] : (leq(X0,X1) <=> addition(X0,X1) = X1)), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',order)). 2.46/2.67 fof(f2472,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(duplicate_literal_removal,[],[f2471])). 2.46/2.67 fof(f2471,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) | ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(forward_demodulation,[],[f2470,f51])). 2.46/2.67 fof(f51,plain,( 2.46/2.67 ( ! [X0,X1] : (addition(X0,X1) = addition(X1,X0)) )), 2.46/2.67 inference(cnf_transformation,[],[f3])). 2.46/2.67 fof(f3,axiom,( 2.46/2.67 ! [X0,X1] : addition(X0,X1) = addition(X1,X0)), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity)). 2.46/2.67 fof(f2470,plain,( 2.46/2.67 ~leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,sK0)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) | ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(forward_demodulation,[],[f2469,f2109])). 2.46/2.67 fof(f2109,plain,( 2.46/2.67 ( ! [X0] : (multiplication(sK3,X0) = multiplication(sK3,multiplication(sK3,X0))) )), 2.46/2.67 inference(superposition,[],[f61,f2069])). 2.46/2.67 fof(f2069,plain,( 2.46/2.67 multiplication(sK3,sK3) = sK3), 2.46/2.67 inference(forward_demodulation,[],[f2053,f44])). 2.46/2.67 fof(f44,plain,( 2.46/2.67 ( ! [X0] : (multiplication(one,X0) = X0) )), 2.46/2.67 inference(cnf_transformation,[],[f4])). 2.46/2.67 fof(f4,axiom,( 2.46/2.67 ! [X0] : multiplication(one,X0) = X0), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity)). 2.46/2.67 fof(f2053,plain,( 2.46/2.67 multiplication(one,sK3) = multiplication(sK3,sK3)), 2.46/2.67 inference(superposition,[],[f170,f237])). 2.46/2.67 fof(f237,plain,( 2.46/2.67 addition(sK3,c(sK3)) = one), 2.46/2.67 inference(superposition,[],[f102,f51])). 2.46/2.67 fof(f102,plain,( 2.46/2.67 addition(c(sK3),sK3) = one), 2.46/2.67 inference(resolution,[],[f68,f56])). 2.46/2.67 fof(f56,plain,( 2.46/2.67 ( ! [X0,X1] : (addition(X0,X1) = one | ~complement(X1,X0)) )), 2.46/2.67 inference(cnf_transformation,[],[f37])). 2.46/2.67 fof(f37,plain,( 2.46/2.67 ! [X0,X1] : ((complement(X1,X0) | addition(X0,X1) != one | multiplication(X1,X0) != zero | multiplication(X0,X1) != zero) & ((addition(X0,X1) = one & multiplication(X1,X0) = zero & multiplication(X0,X1) = zero) | ~complement(X1,X0)))), 2.46/2.67 inference(flattening,[],[f36])). 2.46/2.67 fof(f36,plain,( 2.46/2.67 ! [X0,X1] : ((complement(X1,X0) | (addition(X0,X1) != one | multiplication(X1,X0) != zero | multiplication(X0,X1) != zero)) & ((addition(X0,X1) = one & multiplication(X1,X0) = zero & multiplication(X0,X1) = zero) | ~complement(X1,X0)))), 2.46/2.67 inference(nnf_transformation,[],[f23])). 2.46/2.67 fof(f23,plain,( 2.46/2.67 ! [X0,X1] : (complement(X1,X0) <=> (addition(X0,X1) = one & multiplication(X1,X0) = zero & multiplication(X0,X1) = zero))), 2.46/2.67 inference(rectify,[],[f14])). 2.46/2.67 fof(f14,axiom,( 2.46/2.67 ! [X3,X4] : (complement(X4,X3) <=> (addition(X3,X4) = one & multiplication(X4,X3) = zero & multiplication(X3,X4) = zero))), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2)). 2.46/2.67 fof(f68,plain,( 2.46/2.67 complement(sK3,c(sK3))), 2.46/2.67 inference(resolution,[],[f39,f64])). 2.46/2.67 fof(f64,plain,( 2.46/2.67 ( ! [X0] : (complement(X0,c(X0)) | ~test(X0)) )), 2.46/2.67 inference(equality_resolution,[],[f53])). 2.46/2.67 fof(f53,plain,( 2.46/2.67 ( ! [X0,X1] : (complement(X0,X1) | c(X0) != X1 | ~test(X0)) )), 2.46/2.67 inference(cnf_transformation,[],[f35])). 2.46/2.67 fof(f35,plain,( 2.46/2.67 ! [X0,X1] : (((complement(X0,X1) | c(X0) != X1) & (c(X0) = X1 | ~complement(X0,X1))) | ~test(X0))), 2.46/2.67 inference(nnf_transformation,[],[f28])). 2.46/2.67 fof(f28,plain,( 2.46/2.67 ! [X0,X1] : ((complement(X0,X1) <=> c(X0) = X1) | ~test(X0))), 2.46/2.67 inference(ennf_transformation,[],[f22])). 2.46/2.67 fof(f22,plain,( 2.46/2.67 ! [X0,X1] : (test(X0) => (complement(X0,X1) <=> c(X0) = X1))), 2.46/2.67 inference(rectify,[],[f15])). 2.46/2.67 fof(f15,axiom,( 2.46/2.67 ! [X3,X4] : (test(X3) => (complement(X3,X4) <=> c(X3) = X4))), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3)). 2.46/2.67 fof(f39,plain,( 2.46/2.67 test(sK3)), 2.46/2.67 inference(cnf_transformation,[],[f30])). 2.46/2.67 fof(f30,plain,( 2.46/2.67 (~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2))) | ~leq(addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))) & test(sK4) & test(sK3)), 2.46/2.67 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f26,f29])). 2.46/2.67 fof(f29,plain,( 2.46/2.67 ? [X0,X1,X2,X3,X4] : ((~leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) | ~leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))) & test(X4) & test(X3)) => ((~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2))) | ~leq(addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))) & test(sK4) & test(sK3))), 2.46/2.67 introduced(choice_axiom,[])). 2.46/2.67 fof(f26,plain,( 2.46/2.67 ? [X0,X1,X2,X3,X4] : ((~leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) | ~leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))) & test(X4) & test(X3))), 2.46/2.67 inference(flattening,[],[f25])). 2.46/2.67 fof(f25,plain,( 2.46/2.67 ? [X0,X1,X2,X3,X4] : ((~leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) | ~leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))) & (test(X4) & test(X3)))), 2.46/2.67 inference(ennf_transformation,[],[f19])). 2.46/2.67 fof(f19,plain,( 2.46/2.67 ~! [X0,X1,X2,X3,X4] : ((test(X4) & test(X3)) => (leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) & leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))))), 2.46/2.67 inference(rectify,[],[f18])). 2.46/2.67 fof(f18,negated_conjecture,( 2.46/2.67 ~! [X3,X4,X5,X6,X7] : ((test(X7) & test(X6)) => (leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5))) & leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5)))))), 2.46/2.67 inference(negated_conjecture,[],[f17])). 2.46/2.67 fof(f17,conjecture,( 2.46/2.67 ! [X3,X4,X5,X6,X7] : ((test(X7) & test(X6)) => (leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5))) & leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5)))))), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals)). 2.46/2.67 fof(f170,plain,( 2.46/2.67 ( ! [X2] : (multiplication(X2,sK3) = multiplication(addition(X2,c(sK3)),sK3)) )), 2.46/2.67 inference(forward_demodulation,[],[f163,f45])). 2.46/2.67 fof(f45,plain,( 2.46/2.67 ( ! [X0] : (addition(X0,zero) = X0) )), 2.46/2.67 inference(cnf_transformation,[],[f7])). 2.46/2.67 fof(f7,axiom,( 2.46/2.67 ! [X0] : addition(X0,zero) = X0), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity)). 2.46/2.67 fof(f163,plain,( 2.46/2.67 ( ! [X2] : (multiplication(addition(X2,c(sK3)),sK3) = addition(multiplication(X2,sK3),zero)) )), 2.46/2.67 inference(superposition,[],[f62,f100])). 2.46/2.67 fof(f100,plain,( 2.46/2.67 multiplication(c(sK3),sK3) = zero), 2.46/2.67 inference(resolution,[],[f68,f54])). 2.46/2.67 fof(f54,plain,( 2.46/2.67 ( ! [X0,X1] : (multiplication(X0,X1) = zero | ~complement(X1,X0)) )), 2.46/2.67 inference(cnf_transformation,[],[f37])). 2.46/2.67 fof(f62,plain,( 2.46/2.67 ( ! [X2,X0,X1] : (multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))) )), 2.46/2.67 inference(cnf_transformation,[],[f1])). 2.46/2.67 fof(f1,axiom,( 2.46/2.67 ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity)). 2.46/2.67 fof(f61,plain,( 2.46/2.67 ( ! [X2,X0,X1] : (multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)) )), 2.46/2.67 inference(cnf_transformation,[],[f12])). 2.46/2.67 fof(f12,axiom,( 2.46/2.67 ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity)). 2.46/2.67 fof(f2469,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) | ~leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(forward_demodulation,[],[f2182,f51])). 2.46/2.67 fof(f2182,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,sK0))) | ~leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(backward_demodulation,[],[f2109,f1290])). 2.46/2.67 fof(f1290,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0)))) | ~leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(forward_demodulation,[],[f1152,f1151])). 2.46/2.67 fof(f1151,plain,( 2.46/2.67 ( ! [X12,X11] : (multiplication(sK3,X12) = multiplication(sK3,addition(X12,multiplication(c(sK3),X11)))) )), 2.46/2.67 inference(forward_demodulation,[],[f1140,f45])). 2.46/2.67 fof(f1140,plain,( 2.46/2.67 ( ! [X12,X11] : (multiplication(sK3,addition(X12,multiplication(c(sK3),X11))) = addition(multiplication(sK3,X12),zero)) )), 2.46/2.67 inference(superposition,[],[f63,f211])). 2.46/2.67 fof(f211,plain,( 2.46/2.67 ( ! [X0] : (multiplication(sK3,multiplication(c(sK3),X0)) = zero) )), 2.46/2.67 inference(forward_demodulation,[],[f204,f46])). 2.46/2.67 fof(f46,plain,( 2.46/2.67 ( ! [X0] : (multiplication(zero,X0) = zero) )), 2.46/2.67 inference(cnf_transformation,[],[f11])). 2.46/2.67 fof(f11,axiom,( 2.46/2.67 ! [X0] : multiplication(zero,X0) = zero), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation)). 2.46/2.67 fof(f204,plain,( 2.46/2.67 ( ! [X0] : (multiplication(zero,X0) = multiplication(sK3,multiplication(c(sK3),X0))) )), 2.46/2.67 inference(superposition,[],[f61,f101])). 2.46/2.67 fof(f101,plain,( 2.46/2.67 multiplication(sK3,c(sK3)) = zero), 2.46/2.67 inference(resolution,[],[f68,f55])). 2.46/2.67 fof(f55,plain,( 2.46/2.67 ( ! [X0,X1] : (multiplication(X1,X0) = zero | ~complement(X1,X0)) )), 2.46/2.67 inference(cnf_transformation,[],[f37])). 2.46/2.67 fof(f63,plain,( 2.46/2.67 ( ! [X2,X0,X1] : (multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))) )), 2.46/2.67 inference(cnf_transformation,[],[f5])). 2.46/2.67 fof(f5,axiom,( 2.46/2.67 ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))), 2.46/2.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity)). 2.46/2.67 fof(f1152,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0)))) | ~leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1)))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(backward_demodulation,[],[f1151,f66])). 2.46/2.67 fof(f66,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))))) | ~leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1)))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(forward_demodulation,[],[f65,f51])). 2.46/2.67 fof(f65,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))))) | ~leq(addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(forward_demodulation,[],[f41,f51])). 2.46/2.67 fof(f41,plain,( 2.46/2.67 ~leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2))) | ~leq(addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))), 2.46/2.67 inference(cnf_transformation,[],[f30])). 2.46/2.67 % SZS output end Proof for theBenchmark 2.46/2.67 % ------------------------------ 2.46/2.67 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.46/2.67 % Termination reason: Refutation 2.46/2.67 2.46/2.67 % Memory used [KB]: 1791 2.46/2.67 % Time elapsed: 0.062 s 2.46/2.67 % ------------------------------ 2.46/2.67 % ------------------------------ 2.46/2.67 % Success in time 2.339 s 2.46/2.67 EOF