0.02/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.02/0.23 % Computer : n161.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 05:50:55 CDT 2018 0.02/0.23 % CPUTime : 0.02/0.23 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.23 % remaining time: 5999 next slice time: 22 0.07/0.27 dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_20 on theBenchmark 2.36/2.56 % (56971)Time limit reached! 2.36/2.56 % ------------------------------ 2.36/2.56 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.36/2.56 % Termination reason: Time limit 2.36/2.56 % Termination phase: Saturation 2.36/2.56 2.36/2.56 % Memory used [KB]: 120125 2.36/2.56 % Time elapsed: 2.300 s 2.36/2.56 % ------------------------------ 2.36/2.56 % ------------------------------ 2.36/2.57 % remaining time: 5976 next slice time: 81 2.36/2.57 lrs+1002_1_av=off:fde=unused:lwlo=on:nm=16:nwc=4:stl=30:sp=occurrence_77 on theBenchmark 10.58/10.77 % (56979)Time limit reached! 10.58/10.77 % ------------------------------ 10.58/10.77 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 10.58/10.77 % Termination reason: Time limit 10.58/10.77 % Termination phase: Saturation 10.58/10.77 10.58/10.77 % Memory used [KB]: 163622 10.58/10.77 % Time elapsed: 8.200 s 10.58/10.77 % ------------------------------ 10.58/10.77 % ------------------------------ 10.58/10.78 % remaining time: 5894 next slice time: 5 10.58/10.78 dis+10_3_add=large:afp=10000:afq=1.0:amm=sco:anc=none:gsp=input_only:gs=on:gsem=off:lcm=reverse:nwc=1:sos=on_3 on theBenchmark 11.18/11.38 % (57002)Time limit reached! 11.18/11.38 % ------------------------------ 11.18/11.38 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 11.18/11.38 % Termination reason: Time limit 11.18/11.38 % Termination phase: Saturation 11.18/11.38 11.18/11.38 % Memory used [KB]: 29807 11.18/11.38 % Time elapsed: 0.600 s 11.18/11.38 % ------------------------------ 11.18/11.38 % ------------------------------ 11.18/11.38 % remaining time: 5888 next slice time: 11 11.18/11.39 dis+11_5:4_acc=on:add=large:afr=on:afp=4000:afq=2.0:amm=off:anc=none:ccuc=small_ones:fsr=off:irw=on:nm=32:nwc=2.5:nicw=on:urr=on:updr=off_10 on theBenchmark 12.45/12.59 % (57003)Time limit reached! 12.45/12.59 % ------------------------------ 12.45/12.59 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 12.45/12.59 % Termination reason: Time limit 12.45/12.59 % Termination phase: Saturation 12.45/12.59 12.45/12.59 % Memory used [KB]: 53218 12.45/12.59 % Time elapsed: 1.200 s 12.45/12.59 % ------------------------------ 12.45/12.59 % ------------------------------ 12.45/12.59 % remaining time: 5876 next slice time: 14 12.47/12.59 dis+11_50_add=large:afp=1000:afq=1.0:amm=sco:anc=none:fsr=off:nm=16:nwc=1.5:sac=on_13 on theBenchmark 13.94/14.09 % (57008)Time limit reached! 13.94/14.09 % ------------------------------ 13.94/14.09 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 13.94/14.09 % Termination reason: Time limit 13.94/14.09 % Termination phase: Saturation 13.94/14.09 13.94/14.09 % Memory used [KB]: 73815 13.94/14.09 % Time elapsed: 1.500 s 13.94/14.09 % ------------------------------ 13.94/14.09 % ------------------------------ 13.94/14.09 % remaining time: 5861 next slice time: 309 13.94/14.10 ott+11_20_afr=on:afp=100000:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_294 on theBenchmark 45.04/45.10 % (57012)Time limit reached! 45.04/45.10 % ------------------------------ 45.04/45.10 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 45.04/45.10 % Termination reason: Time limit 45.04/45.10 % Termination phase: Saturation 45.04/45.10 45.04/45.10 % Memory used [KB]: 1324839 45.04/45.10 % Time elapsed: 31.0000 s 45.04/45.10 % ------------------------------ 45.04/45.10 % ------------------------------ 45.13/45.17 % remaining time: 5550 next slice time: 150 45.13/45.17 ott+10_7_av=off:bd=preordered:bs=unit_only:bsr=on:cond=fast:fsr=off:fde=unused:irw=on:lma=on:nm=32:nwc=1:sos=all:sp=reverse_arity:updr=off_142 on theBenchmark 60.27/60.27 % (57068)Time limit reached! 60.27/60.27 % ------------------------------ 60.27/60.27 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 60.27/60.27 % Termination reason: Time limit 60.27/60.27 % Termination phase: Saturation 60.27/60.27 60.27/60.27 % Memory used [KB]: 490738 60.27/60.27 % Time elapsed: 15.100 s 60.27/60.27 % ------------------------------ 60.27/60.27 % ------------------------------ 60.36/60.29 % remaining time: 5399 next slice time: 17 60.36/60.29 dis+1_24_av=off:cond=on:irw=on:lma=on:nm=2:nwc=1.5:sp=occurrence:updr=off_16 on theBenchmark 62.08/62.09 % (57188)Time limit reached! 62.08/62.09 % ------------------------------ 62.08/62.09 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 62.08/62.09 % Termination reason: Time limit 62.08/62.09 % Termination phase: Saturation 62.08/62.09 62.08/62.09 % Memory used [KB]: 50148 62.08/62.09 % Time elapsed: 1.800 s 62.08/62.09 % ------------------------------ 62.08/62.09 % ------------------------------ 62.08/62.10 % remaining time: 5381 next slice time: 129 62.19/62.10 dis+10_128_acc=on:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:bce=on:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_122 on theBenchmark 75.24/75.10 % (57194)Time limit reached! 75.24/75.10 % ------------------------------ 75.24/75.10 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 75.24/75.10 % Termination reason: Time limit 75.24/75.10 % Termination phase: Saturation 75.24/75.10 75.24/75.10 % Memory used [KB]: 291423 75.24/75.10 % Time elapsed: 13.0000 s 75.24/75.10 % ------------------------------ 75.24/75.10 % ------------------------------ 75.24/75.12 % remaining time: 5251 next slice time: 22 75.24/75.12 lrs+11_14_add=large:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=on:fsr=off:lma=on:nm=0:nwc=2:stl=30:sac=on:sp=reverse_arity_20 on theBenchmark 77.58/77.42 % (57222)Time limit reached! 77.58/77.42 % ------------------------------ 77.58/77.42 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 77.58/77.42 % Termination reason: Time limit 77.58/77.42 % Termination phase: Saturation 77.58/77.42 77.58/77.42 % Memory used [KB]: 82258 77.58/77.42 % Time elapsed: 2.300 s 77.58/77.42 % ------------------------------ 77.58/77.42 % ------------------------------ 77.58/77.42 % remaining time: 5228 next slice time: 143 77.58/77.43 lrs+11_24_add=large:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=fast:fde=unused:gs=on:irw=on:lma=on:nm=4:nwc=1.3:nicw=on:sas=z3:stl=30:sac=on:sp=reverse_arity:uhcvi=on_136 on theBenchmark 92.03/91.83 % (57228)Time limit reached! 92.03/91.83 % ------------------------------ 92.03/91.83 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 92.03/91.83 % Termination reason: Time limit 92.03/91.83 % Termination phase: Saturation 92.03/91.83 92.03/91.83 % Memory used [KB]: 443020 92.03/91.83 % Time elapsed: 14.400 s 92.03/91.83 % ------------------------------ 92.03/91.83 % ------------------------------ 92.03/91.85 % remaining time: 5083 next slice time: 130 92.03/91.85 lrs+11_5_av=off:cond=on:fsr=off:lma=on:lwlo=on:nwc=1.2:sas=z3:stl=30:sp=reverse_arity:updr=off_123 on theBenchmark 105.20/104.95 % (57248)Time limit reached! 105.20/104.95 % ------------------------------ 105.20/104.95 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 105.20/104.95 % Termination reason: Time limit 105.20/104.95 % Termination phase: Saturation 105.20/104.95 105.20/104.95 % Memory used [KB]: 298076 105.20/104.95 % Time elapsed: 13.100 s 105.20/104.95 % ------------------------------ 105.20/104.95 % ------------------------------ 105.20/104.97 % remaining time: 4952 next slice time: 485 105.20/104.97 lrs+10_24_add=off:afr=on:afp=1000:afq=1.4:anc=none:bs=unit_only:gs=on:gsaa=from_current:gsem=on:lma=on:nm=2:nwc=1.1:stl=60:sac=on:uhcvi=on_461 on theBenchmark 144.74/144.30 % Refutation found. Thanks to Tanya! 144.74/144.30 % SZS status Theorem for theBenchmark 144.74/144.30 % SZS output start Proof for theBenchmark 144.74/145.20 fof(f1,axiom,( 144.74/145.20 ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity)). 144.74/145.20 fof(f2,axiom,( 144.74/145.20 ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity)). 144.74/145.20 fof(f3,axiom,( 144.74/145.20 ! [X0,X1] : addition(X0,X1) = addition(X1,X0)), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity)). 144.74/145.20 fof(f4,axiom,( 144.74/145.20 ! [X0] : multiplication(one,X0) = X0), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity)). 144.74/145.20 fof(f5,axiom,( 144.74/145.20 ! [X0] : multiplication(X0,one) = X0), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity)). 144.74/145.20 fof(f6,axiom,( 144.74/145.20 ! [X0] : multiplication(zero,X0) = zero), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation)). 144.74/145.20 fof(f7,axiom,( 144.74/145.20 ! [X0] : addition(X0,zero) = X0), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity)). 144.74/145.20 fof(f9,axiom,( 144.74/145.20 ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity)). 144.74/145.20 fof(f10,axiom,( 144.74/145.20 ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2)), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity)). 144.74/145.20 fof(f12,axiom,( 144.74/145.20 ! [X0] : addition(X0,X0) = X0), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence)). 144.74/145.20 fof(f13,axiom,( 144.74/145.20 ! [X3,X4] : addition(coantidomain(multiplication(X3,X4)),coantidomain(multiplication(coantidomain(coantidomain(X3)),X4))) = coantidomain(multiplication(coantidomain(coantidomain(X3)),X4))), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain2)). 144.74/145.20 fof(f14,axiom,( 144.74/145.20 ! [X3] : addition(coantidomain(coantidomain(X3)),coantidomain(X3)) = one), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3)). 144.74/145.20 fof(f15,axiom,( 144.74/145.20 ! [X3,X4] : addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))) = antidomain(multiplication(X3,antidomain(antidomain(X4))))), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2)). 144.74/145.20 fof(f16,axiom,( 144.74/145.20 ! [X3] : multiplication(X3,coantidomain(X3)) = zero), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1)). 144.74/145.20 fof(f17,axiom,( 144.74/145.20 ! [X3] : coantidomain(coantidomain(X3)) = codomain(X3)), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain4)). 144.74/145.20 fof(f18,axiom,( 144.74/145.20 ! [X3] : multiplication(antidomain(X3),X3) = zero), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1)). 144.74/145.20 fof(f19,axiom,( 144.74/145.20 ! [X3] : addition(antidomain(antidomain(X3)),antidomain(X3)) = one), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3)). 144.74/145.20 fof(f20,axiom,( 144.74/145.20 ! [X3] : antidomain(antidomain(X3)) = domain(X3)), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4)). 144.74/145.20 fof(f21,axiom,( 144.74/145.20 ! [X3,X4] : codomain(multiplication(codomain(X4),X3)) = backward_diamond(X3,X4)), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',backward_diamond)). 144.74/145.20 fof(f24,axiom,( 144.74/145.20 ! [X3,X4] : domain(multiplication(X3,domain(X4))) = forward_diamond(X3,X4)), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond)). 144.74/145.20 fof(f27,conjecture,( 144.74/145.20 ! [X3,X4,X5] : (multiplication(forward_diamond(X3,domain(X4)),domain(X5)) = zero => multiplication(domain(X4),backward_diamond(X3,domain(X5))) = zero)), 144.74/145.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)). 144.74/145.20 fof(f28,negated_conjecture,( 144.74/145.20 ~! [X3,X4,X5] : (multiplication(forward_diamond(X3,domain(X4)),domain(X5)) = zero => multiplication(domain(X4),backward_diamond(X3,domain(X5))) = zero)), 144.74/145.20 inference(negated_conjecture,[],[f27])). 144.74/145.20 fof(f29,plain,( 144.74/145.20 ~! [X0,X1,X2] : (multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero => multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero)), 144.74/145.20 inference(rectify,[],[f28])). 144.74/145.20 fof(f31,plain,( 144.74/145.20 ! [X0] : multiplication(antidomain(X0),X0) = zero), 144.74/145.20 inference(rectify,[],[f18])). 144.74/145.20 fof(f32,plain,( 144.74/145.20 ! [X0] : coantidomain(coantidomain(X0)) = codomain(X0)), 144.74/145.20 inference(rectify,[],[f17])). 144.74/145.20 fof(f33,plain,( 144.74/145.20 ! [X0] : antidomain(antidomain(X0)) = domain(X0)), 144.74/145.20 inference(rectify,[],[f20])). 144.74/145.20 fof(f34,plain,( 144.74/145.20 ! [X0] : multiplication(X0,coantidomain(X0)) = zero), 144.74/145.20 inference(rectify,[],[f16])). 144.74/145.20 fof(f35,plain,( 144.74/145.20 ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one), 144.74/145.20 inference(rectify,[],[f19])). 144.74/145.20 fof(f36,plain,( 144.74/145.20 ! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one), 144.74/145.20 inference(rectify,[],[f14])). 144.74/145.20 fof(f38,plain,( 144.74/145.20 ! [X0,X1] : domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1)), 144.74/145.20 inference(rectify,[],[f24])). 144.74/145.20 fof(f40,plain,( 144.74/145.20 ! [X0,X1] : codomain(multiplication(codomain(X1),X0)) = backward_diamond(X0,X1)), 144.74/145.20 inference(rectify,[],[f21])). 144.74/145.20 fof(f42,plain,( 144.74/145.20 ! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1))))), 144.74/145.20 inference(rectify,[],[f15])). 144.74/145.20 fof(f43,plain,( 144.74/145.20 ! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))), 144.74/145.20 inference(rectify,[],[f13])). 144.74/145.20 fof(f44,plain,( 144.74/145.20 ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)), 144.74/145.20 inference(rectify,[],[f10])). 144.74/145.20 fof(f45,plain,( 144.74/145.20 ? [X0,X1,X2] : (multiplication(domain(X1),backward_diamond(X0,domain(X2))) != zero & multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero)), 144.74/145.20 inference(ennf_transformation,[],[f29])). 144.74/145.20 fof(f46,plain,( 144.74/145.20 ? [X0,X1,X2] : (multiplication(domain(X1),backward_diamond(X0,domain(X2))) != zero & multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero) => (multiplication(domain(sK1),backward_diamond(sK0,domain(sK2))) != zero & multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2)) = zero)), 144.74/145.20 introduced(choice_axiom,[])). 144.74/145.20 fof(f47,plain,( 144.74/145.20 multiplication(domain(sK1),backward_diamond(sK0,domain(sK2))) != zero & multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2)) = zero), 144.74/145.20 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46])). 144.74/145.20 fof(f48,plain,( 144.74/145.20 multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2)) = zero), 144.74/145.20 inference(cnf_transformation,[],[f47])). 144.74/145.20 fof(f49,plain,( 144.74/145.20 multiplication(domain(sK1),backward_diamond(sK0,domain(sK2))) != zero), 144.74/145.20 inference(cnf_transformation,[],[f47])). 144.74/145.20 fof(f50,plain,( 144.74/145.20 ( ! [X0] : (addition(X0,X0) = X0) )), 144.74/145.20 inference(cnf_transformation,[],[f12])). 144.74/145.20 fof(f51,plain,( 144.74/145.20 ( ! [X0] : (multiplication(X0,one) = X0) )), 144.74/145.20 inference(cnf_transformation,[],[f5])). 144.74/145.20 fof(f52,plain,( 144.74/145.20 ( ! [X0] : (multiplication(one,X0) = X0) )), 144.74/145.20 inference(cnf_transformation,[],[f4])). 144.74/145.20 fof(f53,plain,( 144.74/145.20 ( ! [X0] : (addition(X0,zero) = X0) )), 144.74/145.20 inference(cnf_transformation,[],[f7])). 144.74/145.20 fof(f54,plain,( 144.74/145.20 ( ! [X0] : (multiplication(zero,X0) = zero) )), 144.74/145.20 inference(cnf_transformation,[],[f6])). 144.74/145.20 fof(f57,plain,( 144.74/145.20 ( ! [X0] : (multiplication(antidomain(X0),X0) = zero) )), 144.74/145.20 inference(cnf_transformation,[],[f31])). 144.74/145.20 fof(f58,plain,( 144.74/145.20 ( ! [X0] : (coantidomain(coantidomain(X0)) = codomain(X0)) )), 144.74/145.20 inference(cnf_transformation,[],[f32])). 144.74/145.20 fof(f59,plain,( 144.74/145.20 ( ! [X0] : (antidomain(antidomain(X0)) = domain(X0)) )), 144.74/145.20 inference(cnf_transformation,[],[f33])). 144.74/145.20 fof(f60,plain,( 144.74/145.20 ( ! [X0] : (multiplication(X0,coantidomain(X0)) = zero) )), 144.74/145.20 inference(cnf_transformation,[],[f34])). 144.74/145.20 fof(f61,plain,( 144.74/145.20 ( ! [X0] : (addition(antidomain(antidomain(X0)),antidomain(X0)) = one) )), 144.74/145.20 inference(cnf_transformation,[],[f35])). 144.74/145.20 fof(f62,plain,( 144.74/145.20 ( ! [X0] : (addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one) )), 144.74/145.20 inference(cnf_transformation,[],[f36])). 144.74/145.20 fof(f63,plain,( 144.74/145.20 ( ! [X0,X1] : (addition(X0,X1) = addition(X1,X0)) )), 144.74/145.20 inference(cnf_transformation,[],[f3])). 144.74/145.20 fof(f65,plain,( 144.74/145.20 ( ! [X0,X1] : (domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1)) )), 144.74/145.20 inference(cnf_transformation,[],[f38])). 144.74/145.20 fof(f67,plain,( 144.74/145.20 ( ! [X0,X1] : (codomain(multiplication(codomain(X1),X0)) = backward_diamond(X0,X1)) )), 144.74/145.20 inference(cnf_transformation,[],[f40])). 144.74/145.20 fof(f69,plain,( 144.74/145.20 ( ! [X0,X1] : (addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1))))) )), 144.74/145.20 inference(cnf_transformation,[],[f42])). 144.74/145.20 fof(f70,plain,( 144.74/145.20 ( ! [X0,X1] : (addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) )), 144.74/145.20 inference(cnf_transformation,[],[f43])). 144.74/145.20 fof(f71,plain,( 144.74/145.20 ( ! [X2,X0,X1] : (addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)) )), 144.74/145.20 inference(cnf_transformation,[],[f44])). 144.74/145.20 fof(f72,plain,( 144.74/145.20 ( ! [X2,X0,X1] : (multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)) )), 144.74/145.20 inference(cnf_transformation,[],[f9])). 144.74/145.20 fof(f73,plain,( 144.74/145.20 ( ! [X2,X0,X1] : (multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))) )), 144.74/145.20 inference(cnf_transformation,[],[f2])). 144.74/145.20 fof(f74,plain,( 144.74/145.20 ( ! [X2,X0,X1] : (multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))) )), 144.74/145.20 inference(cnf_transformation,[],[f1])). 144.74/145.20 fof(f76,plain,( 144.74/145.20 ( ! [X0,X1] : (coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))) = backward_diamond(X0,X1)) )), 144.74/145.20 inference(definition_unfolding,[],[f67,f58,f58])). 144.74/145.20 fof(f78,plain,( 144.74/145.20 ( ! [X0,X1] : (antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))) = forward_diamond(X0,X1)) )), 144.74/145.20 inference(definition_unfolding,[],[f65,f59,f59])). 144.74/145.20 fof(f81,plain,( 144.74/145.20 multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK2)))),sK0)))) != zero), 144.74/145.20 inference(definition_unfolding,[],[f49,f59,f76,f59])). 144.74/145.20 fof(f82,plain,( 144.74/145.20 multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))) = zero), 144.74/145.20 inference(definition_unfolding,[],[f48,f78,f59,f59])). 144.74/145.20 fof(f83,plain,( 144.74/145.20 zero = antidomain(one)), 144.74/145.20 inference(superposition,[],[f57,f51])). 144.74/145.20 fof(f86,plain,( 144.74/145.20 zero = coantidomain(one)), 144.74/145.20 inference(superposition,[],[f60,f52])). 144.74/145.20 fof(f89,plain,( 144.74/145.20 ( ! [X1] : (addition(zero,X1) = X1) )), 144.74/145.20 inference(superposition,[],[f63,f53])). 144.74/145.20 fof(f97,plain,( 144.74/145.20 addition(antidomain(zero),zero) = one), 144.74/145.20 inference(superposition,[],[f61,f83])). 144.74/145.20 fof(f98,plain,( 144.74/145.20 ( ! [X1] : (addition(antidomain(X1),antidomain(antidomain(X1))) = one) )), 144.74/145.20 inference(superposition,[],[f61,f63])). 144.74/145.20 fof(f102,plain,( 144.74/145.20 one = antidomain(zero)), 144.74/145.20 inference(superposition,[],[f97,f53])). 144.74/145.20 fof(f116,plain,( 144.74/145.20 addition(coantidomain(zero),zero) = one), 144.74/145.20 inference(superposition,[],[f62,f86])). 144.74/145.20 fof(f117,plain,( 144.74/145.20 ( ! [X1] : (addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one) )), 144.74/145.20 inference(superposition,[],[f62,f63])). 144.74/145.20 fof(f121,plain,( 144.74/145.20 one = coantidomain(zero)), 144.74/145.20 inference(superposition,[],[f116,f53])). 144.74/145.20 fof(f143,plain,( 144.74/145.20 ( ! [X0,X1] : (addition(X0,X1) = addition(X0,addition(X0,X1))) )), 144.74/145.20 inference(superposition,[],[f71,f50])). 144.74/145.20 fof(f149,plain,( 144.74/145.20 ( ! [X17,X16] : (addition(one,X17) = addition(coantidomain(coantidomain(X16)),addition(coantidomain(X16),X17))) )), 144.74/145.20 inference(superposition,[],[f71,f62])). 144.74/145.20 fof(f151,plain,( 144.74/145.20 ( ! [X21,X20] : (addition(one,X21) = addition(antidomain(antidomain(X20)),addition(antidomain(X20),X21))) )), 144.74/145.20 inference(superposition,[],[f71,f61])). 144.74/145.20 fof(f155,plain,( 144.74/145.20 ( ! [X8,X7,X9] : (addition(X7,addition(X8,X9)) = addition(X9,addition(X7,X8))) )), 144.74/145.20 inference(superposition,[],[f71,f63])). 144.74/145.20 fof(f164,plain,( 144.74/145.20 ( ! [X2,X1] : (addition(X2,X1) = addition(X1,addition(X2,X1))) )), 144.74/145.20 inference(superposition,[],[f143,f63])). 144.74/145.20 fof(f171,plain,( 144.74/145.20 ( ! [X13] : (addition(coantidomain(X13),one) = one) )), 144.74/145.20 inference(superposition,[],[f143,f117])). 144.74/145.20 fof(f173,plain,( 144.74/145.20 ( ! [X15] : (addition(antidomain(X15),one) = one) )), 144.74/145.20 inference(superposition,[],[f143,f98])). 144.74/145.20 fof(f183,plain,( 144.74/145.20 ( ! [X1] : (addition(one,coantidomain(X1)) = one) )), 144.74/145.20 inference(superposition,[],[f171,f63])). 144.74/145.20 fof(f191,plain,( 144.74/145.20 ( ! [X1] : (addition(one,antidomain(X1)) = one) )), 144.74/145.20 inference(superposition,[],[f173,f63])). 144.74/145.20 fof(f207,plain,( 144.74/145.20 ( ! [X4,X5] : (multiplication(zero,X5) = multiplication(X4,multiplication(coantidomain(X4),X5))) )), 144.74/145.20 inference(superposition,[],[f72,f60])). 144.74/145.20 fof(f214,plain,( 144.74/145.20 ( ! [X8,X7] : (multiplication(X7,multiplication(X8,coantidomain(multiplication(X7,X8)))) = zero) )), 144.74/145.20 inference(superposition,[],[f72,f60])). 144.74/145.20 fof(f219,plain,( 144.74/145.20 ( ! [X4,X5] : (multiplication(X4,multiplication(coantidomain(X4),X5)) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f207,f54])). 144.74/145.20 fof(f962,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(addition(X10,X11),coantidomain(X10)) = addition(zero,multiplication(X11,coantidomain(X10)))) )), 144.74/145.20 inference(superposition,[],[f73,f60])). 144.74/145.20 fof(f963,plain,( 144.74/145.20 ( ! [X14,X12,X15,X13] : (multiplication(addition(multiplication(X12,X13),X15),X14) = addition(multiplication(X12,multiplication(X13,X14)),multiplication(X15,X14))) )), 144.74/145.20 inference(superposition,[],[f73,f72])). 144.74/145.20 fof(f964,plain,( 144.74/145.20 ( ! [X17,X16] : (multiplication(addition(one,X17),X16) = addition(X16,multiplication(X17,X16))) )), 144.74/145.20 inference(superposition,[],[f73,f52])). 144.74/145.20 fof(f966,plain,( 144.74/145.20 ( ! [X21,X20] : (multiplication(addition(antidomain(X20),X21),X20) = addition(zero,multiplication(X21,X20))) )), 144.74/145.20 inference(superposition,[],[f73,f57])). 144.74/145.20 fof(f976,plain,( 144.74/145.20 ( ! [X21,X20] : (multiplication(addition(X21,antidomain(X20)),X20) = addition(multiplication(X21,X20),zero)) )), 144.74/145.20 inference(superposition,[],[f73,f57])). 144.74/145.20 fof(f984,plain,( 144.74/145.20 ( ! [X10,X11,X9] : (multiplication(addition(X9,X11),X10) = addition(multiplication(X9,X10),multiplication(addition(X9,X11),X10))) )), 144.74/145.20 inference(superposition,[],[f143,f73])). 144.74/145.20 fof(f993,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(X11,coantidomain(X10)) = multiplication(addition(X10,X11),coantidomain(X10))) )), 144.74/145.20 inference(forward_demodulation,[],[f962,f89])). 144.74/145.20 fof(f995,plain,( 144.74/145.20 ( ! [X21,X20] : (multiplication(X21,X20) = multiplication(addition(antidomain(X20),X21),X20)) )), 144.74/145.20 inference(forward_demodulation,[],[f966,f89])). 144.74/145.20 fof(f1004,plain,( 144.74/145.20 ( ! [X21,X20] : (multiplication(X21,X20) = multiplication(addition(X21,antidomain(X20)),X20)) )), 144.74/145.20 inference(forward_demodulation,[],[f976,f53])). 144.74/145.20 fof(f1009,plain,( 144.74/145.20 ( ! [X1] : (multiplication(one,X1) = multiplication(antidomain(antidomain(X1)),X1)) )), 144.74/145.20 inference(superposition,[],[f995,f98])). 144.74/145.20 fof(f1024,plain,( 144.74/145.20 ( ! [X1] : (multiplication(antidomain(antidomain(X1)),X1) = X1) )), 144.74/145.20 inference(forward_demodulation,[],[f1009,f52])). 144.74/145.20 fof(f2063,plain,( 144.74/145.20 ( ! [X114,X113] : (addition(X114,X113) = addition(zero,addition(X113,X114))) )), 144.74/145.20 inference(superposition,[],[f155,f89])). 144.74/145.20 fof(f2285,plain,( 144.74/145.20 ( ! [X6,X5] : (addition(zero,addition(X5,X6)) = addition(addition(X5,X6),X5)) )), 144.74/145.20 inference(superposition,[],[f2063,f143])). 144.74/145.20 fof(f2348,plain,( 144.74/145.20 ( ! [X6,X5] : (addition(X5,X6) = addition(addition(X5,X6),X5)) )), 144.74/145.20 inference(forward_demodulation,[],[f2285,f89])). 144.74/145.20 fof(f2402,plain,( 144.74/145.20 ( ! [X6,X7] : (multiplication(X6,addition(one,X7)) = addition(X6,multiplication(X6,X7))) )), 144.74/145.20 inference(superposition,[],[f74,f51])). 144.74/145.20 fof(f2404,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(X10,addition(coantidomain(X10),X11)) = addition(zero,multiplication(X10,X11))) )), 144.74/145.20 inference(superposition,[],[f74,f60])). 144.74/145.20 fof(f2410,plain,( 144.74/145.20 ( ! [X26,X27] : (multiplication(antidomain(X26),addition(X26,X27)) = addition(zero,multiplication(antidomain(X26),X27))) )), 144.74/145.20 inference(superposition,[],[f74,f57])). 144.74/145.20 fof(f2421,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(X10,addition(X11,coantidomain(X10))) = addition(multiplication(X10,X11),zero)) )), 144.74/145.20 inference(superposition,[],[f74,f60])). 144.74/145.20 fof(f2452,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(X10,X11) = multiplication(X10,addition(coantidomain(X10),X11))) )), 144.74/145.20 inference(forward_demodulation,[],[f2404,f89])). 144.74/145.20 fof(f2458,plain,( 144.74/145.20 ( ! [X26,X27] : (multiplication(antidomain(X26),X27) = multiplication(antidomain(X26),addition(X26,X27))) )), 144.74/145.20 inference(forward_demodulation,[],[f2410,f89])). 144.74/145.20 fof(f2467,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(X10,X11) = multiplication(X10,addition(X11,coantidomain(X10)))) )), 144.74/145.20 inference(forward_demodulation,[],[f2421,f53])). 144.74/145.20 fof(f3307,plain,( 144.74/145.20 ( ! [X1] : (multiplication(X1,one) = multiplication(X1,coantidomain(coantidomain(X1)))) )), 144.74/145.20 inference(superposition,[],[f2452,f117])). 144.74/145.20 fof(f3332,plain,( 144.74/145.20 ( ! [X1] : (multiplication(X1,coantidomain(coantidomain(X1))) = X1) )), 144.74/145.20 inference(forward_demodulation,[],[f3307,f51])). 144.74/145.20 fof(f5982,plain,( 144.74/145.20 ( ! [X30,X31] : (multiplication(X30,coantidomain(addition(X30,X31))) = multiplication(addition(X30,X31),coantidomain(addition(X30,X31)))) )), 144.74/145.20 inference(superposition,[],[f993,f2348])). 144.74/145.20 fof(f6016,plain,( 144.74/145.20 ( ! [X98] : (multiplication(one,coantidomain(coantidomain(coantidomain(X98)))) = multiplication(coantidomain(X98),coantidomain(coantidomain(coantidomain(X98))))) )), 144.74/145.20 inference(superposition,[],[f993,f62])). 144.74/145.20 fof(f6021,plain,( 144.74/145.20 ( ! [X110] : (multiplication(one,coantidomain(antidomain(X110))) = multiplication(antidomain(antidomain(X110)),coantidomain(antidomain(X110)))) )), 144.74/145.20 inference(superposition,[],[f993,f98])). 144.74/145.20 fof(f6063,plain,( 144.74/145.20 ( ! [X30,X31] : (multiplication(X30,coantidomain(addition(X30,X31))) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f5982,f60])). 144.74/145.20 fof(f6114,plain,( 144.74/145.20 ( ! [X98] : (multiplication(one,coantidomain(coantidomain(coantidomain(X98)))) = coantidomain(X98)) )), 144.74/145.20 inference(forward_demodulation,[],[f6016,f3332])). 144.74/145.20 fof(f6117,plain,( 144.74/145.20 ( ! [X110] : (multiplication(antidomain(antidomain(X110)),coantidomain(antidomain(X110))) = coantidomain(antidomain(X110))) )), 144.74/145.20 inference(forward_demodulation,[],[f6021,f52])). 144.74/145.20 fof(f6153,plain,( 144.74/145.20 ( ! [X26,X27,X25] : (multiplication(multiplication(X25,X26),coantidomain(multiplication(X25,addition(X26,X27)))) = zero) )), 144.74/145.20 inference(superposition,[],[f6063,f74])). 144.74/145.20 fof(f6381,plain,( 144.74/145.20 ( ! [X1] : (coantidomain(X1) = coantidomain(coantidomain(coantidomain(X1)))) )), 144.74/145.20 inference(superposition,[],[f6114,f52])). 144.74/145.20 fof(f6552,plain,( 144.74/145.20 ( ! [X3] : (multiplication(addition(X3,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),antidomain(antidomain(sK2))) = addition(multiplication(X3,antidomain(antidomain(sK2))),zero)) )), 144.74/145.20 inference(superposition,[],[f73,f82])). 144.74/145.20 fof(f6565,plain,( 144.74/145.20 ( ! [X3] : (multiplication(X3,antidomain(antidomain(sK2))) = multiplication(addition(X3,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),antidomain(antidomain(sK2)))) )), 144.74/145.20 inference(forward_demodulation,[],[f6552,f53])). 144.74/145.20 fof(f9874,plain,( 144.74/145.20 ( ! [X0,X1] : (addition(antidomain(zero),antidomain(multiplication(X0,antidomain(antidomain(multiplication(coantidomain(X0),X1)))))) = antidomain(multiplication(X0,antidomain(antidomain(multiplication(coantidomain(X0),X1)))))) )), 144.74/145.20 inference(superposition,[],[f69,f219])). 144.74/145.20 fof(f9882,plain,( 144.74/145.20 ( ! [X16] : (addition(antidomain(zero),antidomain(multiplication(X16,antidomain(antidomain(coantidomain(X16)))))) = antidomain(multiplication(X16,antidomain(antidomain(coantidomain(X16)))))) )), 144.74/145.20 inference(superposition,[],[f69,f60])). 144.74/145.20 fof(f9977,plain,( 144.74/145.20 ( ! [X0,X1] : (addition(one,antidomain(multiplication(X0,antidomain(antidomain(multiplication(coantidomain(X0),X1)))))) = antidomain(multiplication(X0,antidomain(antidomain(multiplication(coantidomain(X0),X1)))))) )), 144.74/145.20 inference(forward_demodulation,[],[f9874,f102])). 144.74/145.20 fof(f9978,plain,( 144.74/145.20 ( ! [X0,X1] : (one = antidomain(multiplication(X0,antidomain(antidomain(multiplication(coantidomain(X0),X1)))))) )), 144.74/145.20 inference(forward_demodulation,[],[f9977,f191])). 144.74/145.20 fof(f9992,plain,( 144.74/145.20 ( ! [X16] : (addition(one,antidomain(multiplication(X16,antidomain(antidomain(coantidomain(X16)))))) = antidomain(multiplication(X16,antidomain(antidomain(coantidomain(X16)))))) )), 144.74/145.20 inference(forward_demodulation,[],[f9882,f102])). 144.74/145.20 fof(f9993,plain,( 144.74/145.20 ( ! [X16] : (one = antidomain(multiplication(X16,antidomain(antidomain(coantidomain(X16)))))) )), 144.74/145.20 inference(forward_demodulation,[],[f9992,f191])). 144.74/145.20 fof(f10143,plain,( 144.74/145.20 ( ! [X36] : (multiplication(X36,antidomain(antidomain(coantidomain(X36)))) = multiplication(antidomain(one),multiplication(X36,antidomain(antidomain(coantidomain(X36)))))) )), 144.74/145.20 inference(superposition,[],[f1024,f9993])). 144.74/145.20 fof(f10210,plain,( 144.74/145.20 ( ! [X36] : (multiplication(X36,antidomain(antidomain(coantidomain(X36)))) = multiplication(zero,multiplication(X36,antidomain(antidomain(coantidomain(X36)))))) )), 144.74/145.20 inference(forward_demodulation,[],[f10143,f83])). 144.74/145.20 fof(f10211,plain,( 144.74/145.20 ( ! [X36] : (multiplication(X36,antidomain(antidomain(coantidomain(X36)))) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f10210,f54])). 144.74/145.20 fof(f10260,plain,( 144.74/145.20 ( ! [X8,X9] : (multiplication(zero,X9) = multiplication(X8,multiplication(antidomain(antidomain(coantidomain(X8))),X9))) )), 144.74/145.20 inference(superposition,[],[f72,f10211])). 144.74/145.20 fof(f10316,plain,( 144.74/145.20 ( ! [X8,X9] : (multiplication(X8,multiplication(antidomain(antidomain(coantidomain(X8))),X9)) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f10260,f54])). 144.74/145.20 fof(f12552,plain,( 144.74/145.20 ( ! [X35,X34] : (multiplication(antidomain(addition(X34,X35)),X34) = multiplication(antidomain(addition(X34,X35)),addition(X34,X35))) )), 144.74/145.20 inference(superposition,[],[f2458,f2348])). 144.74/145.20 fof(f12587,plain,( 144.74/145.20 ( ! [X103] : (multiplication(antidomain(coantidomain(X103)),one) = multiplication(antidomain(coantidomain(X103)),coantidomain(coantidomain(X103)))) )), 144.74/145.20 inference(superposition,[],[f2458,f117])). 144.74/145.20 fof(f12590,plain,( 144.74/145.20 ( ! [X113] : (multiplication(antidomain(antidomain(antidomain(X113))),one) = multiplication(antidomain(antidomain(antidomain(X113))),antidomain(X113))) )), 144.74/145.20 inference(superposition,[],[f2458,f61])). 144.74/145.20 fof(f12638,plain,( 144.74/145.20 ( ! [X35,X34] : (multiplication(antidomain(addition(X34,X35)),X34) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f12552,f57])). 144.74/145.20 fof(f12690,plain,( 144.74/145.20 ( ! [X103] : (multiplication(antidomain(coantidomain(X103)),coantidomain(coantidomain(X103))) = antidomain(coantidomain(X103))) )), 144.74/145.20 inference(forward_demodulation,[],[f12587,f51])). 144.74/145.20 fof(f12691,plain,( 144.74/145.20 ( ! [X113] : (multiplication(antidomain(antidomain(antidomain(X113))),one) = antidomain(X113)) )), 144.74/145.20 inference(forward_demodulation,[],[f12590,f1024])). 144.74/145.20 fof(f12787,plain,( 144.74/145.20 ( ! [X6,X7,X5] : (multiplication(addition(X7,antidomain(addition(X5,X6))),X5) = addition(multiplication(X7,X5),zero)) )), 144.74/145.20 inference(superposition,[],[f73,f12638])). 144.74/145.20 fof(f12839,plain,( 144.74/145.20 ( ! [X6,X7,X5] : (multiplication(X7,X5) = multiplication(addition(X7,antidomain(addition(X5,X6))),X5)) )), 144.74/145.20 inference(forward_demodulation,[],[f12787,f53])). 144.74/145.20 fof(f13016,plain,( 144.74/145.20 ( ! [X1] : (antidomain(X1) = antidomain(antidomain(antidomain(X1)))) )), 144.74/145.20 inference(superposition,[],[f12691,f51])). 144.74/145.20 fof(f13098,plain,( 144.74/145.20 ( ! [X3] : (multiplication(X3,antidomain(antidomain(sK2))) = multiplication(addition(X3,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),antidomain(antidomain(sK2)))) )), 144.74/145.20 inference(backward_demodulation,[],[f13016,f6565])). 144.74/145.20 fof(f17346,plain,( 144.74/145.20 ( ! [X0] : (multiplication(X0,coantidomain(antidomain(coantidomain(X0)))) = zero) )), 144.74/145.20 inference(superposition,[],[f10316,f6117])). 144.74/145.20 fof(f17358,plain,( 144.74/145.20 ( ! [X17] : (multiplication(antidomain(antidomain(X17)),addition(one,coantidomain(antidomain(X17)))) = addition(antidomain(antidomain(X17)),coantidomain(antidomain(X17)))) )), 144.74/145.20 inference(superposition,[],[f2402,f6117])). 144.74/145.20 fof(f17399,plain,( 144.74/145.20 ( ! [X17] : (multiplication(antidomain(antidomain(X17)),addition(one,coantidomain(antidomain(X17)))) = addition(coantidomain(antidomain(X17)),antidomain(antidomain(X17)))) )), 144.74/145.20 inference(forward_demodulation,[],[f17358,f63])). 144.74/145.20 fof(f17400,plain,( 144.74/145.20 ( ! [X17] : (multiplication(antidomain(antidomain(X17)),one) = addition(coantidomain(antidomain(X17)),antidomain(antidomain(X17)))) )), 144.74/145.20 inference(forward_demodulation,[],[f17399,f183])). 144.74/145.20 fof(f17401,plain,( 144.74/145.20 ( ! [X17] : (addition(coantidomain(antidomain(X17)),antidomain(antidomain(X17))) = antidomain(antidomain(X17))) )), 144.74/145.20 inference(forward_demodulation,[],[f17400,f51])). 144.74/145.20 fof(f17428,plain,( 144.74/145.20 ( ! [X8,X7] : (multiplication(X7,addition(coantidomain(antidomain(coantidomain(X7))),X8)) = addition(zero,multiplication(X7,X8))) )), 144.74/145.20 inference(superposition,[],[f74,f17346])). 144.74/145.20 fof(f17485,plain,( 144.74/145.20 ( ! [X8,X7] : (multiplication(X7,X8) = multiplication(X7,addition(coantidomain(antidomain(coantidomain(X7))),X8))) )), 144.74/145.20 inference(forward_demodulation,[],[f17428,f89])). 144.74/145.20 fof(f18142,plain,( 144.74/145.20 ( ! [X96] : (addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X96))),X96))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X96))),X96))) )), 144.74/145.20 inference(superposition,[],[f70,f57])). 144.74/145.20 fof(f18216,plain,( 144.74/145.20 ( ! [X12,X13] : (multiplication(multiplication(coantidomain(coantidomain(X12)),X13),coantidomain(multiplication(X12,X13))) = multiplication(multiplication(coantidomain(coantidomain(X12)),X13),coantidomain(multiplication(coantidomain(coantidomain(X12)),X13)))) )), 144.74/145.20 inference(superposition,[],[f2467,f70])). 144.74/145.20 fof(f18352,plain,( 144.74/145.20 ( ! [X96] : (addition(one,coantidomain(multiplication(coantidomain(coantidomain(antidomain(X96))),X96))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X96))),X96))) )), 144.74/145.20 inference(forward_demodulation,[],[f18142,f121])). 144.74/145.20 fof(f18353,plain,( 144.74/145.20 ( ! [X96] : (one = coantidomain(multiplication(coantidomain(coantidomain(antidomain(X96))),X96))) )), 144.74/145.20 inference(forward_demodulation,[],[f18352,f183])). 144.74/145.20 fof(f18450,plain,( 144.74/145.20 ( ! [X12,X13] : (multiplication(multiplication(coantidomain(coantidomain(X12)),X13),coantidomain(multiplication(X12,X13))) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f18216,f60])). 144.74/145.20 fof(f18483,plain,( 144.74/145.20 ( ! [X2] : (multiplication(coantidomain(coantidomain(antidomain(X2))),multiplication(X2,one)) = zero) )), 144.74/145.20 inference(superposition,[],[f214,f18353])). 144.74/145.20 fof(f18572,plain,( 144.74/145.20 ( ! [X2] : (multiplication(coantidomain(coantidomain(antidomain(X2))),X2) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f18483,f51])). 144.74/145.20 fof(f18669,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(addition(X11,coantidomain(coantidomain(antidomain(X10)))),X10) = addition(multiplication(X11,X10),zero)) )), 144.74/145.20 inference(superposition,[],[f73,f18572])). 144.74/145.20 fof(f18732,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(X11,X10) = multiplication(addition(X11,coantidomain(coantidomain(antidomain(X10)))),X10)) )), 144.74/145.20 inference(forward_demodulation,[],[f18669,f53])). 144.74/145.20 fof(f19377,plain,( 144.74/145.20 ( ! [X62,X63] : (multiplication(X62,antidomain(antidomain(multiplication(coantidomain(X62),X63)))) = multiplication(antidomain(one),multiplication(X62,antidomain(antidomain(multiplication(coantidomain(X62),X63)))))) )), 144.74/145.20 inference(superposition,[],[f1024,f9978])). 144.74/145.20 fof(f19555,plain,( 144.74/145.20 ( ! [X62,X63] : (multiplication(X62,antidomain(antidomain(multiplication(coantidomain(X62),X63)))) = multiplication(zero,multiplication(X62,antidomain(antidomain(multiplication(coantidomain(X62),X63)))))) )), 144.74/145.20 inference(forward_demodulation,[],[f19377,f83])). 144.74/145.20 fof(f19556,plain,( 144.74/145.20 ( ! [X62,X63] : (multiplication(X62,antidomain(antidomain(multiplication(coantidomain(X62),X63)))) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f19555,f54])). 144.74/145.20 fof(f19644,plain,( 144.74/145.20 ( ! [X19,X20,X18] : (multiplication(zero,X20) = multiplication(X18,multiplication(antidomain(antidomain(multiplication(coantidomain(X18),X19))),X20))) )), 144.74/145.20 inference(superposition,[],[f72,f19556])). 144.74/145.20 fof(f19776,plain,( 144.74/145.20 ( ! [X19,X20,X18] : (multiplication(X18,multiplication(antidomain(antidomain(multiplication(coantidomain(X18),X19))),X20)) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f19644,f54])). 144.74/145.20 fof(f21122,plain,( 144.74/145.20 ( ! [X15] : (multiplication(addition(one,antidomain(coantidomain(X15))),coantidomain(coantidomain(X15))) = addition(coantidomain(coantidomain(X15)),antidomain(coantidomain(X15)))) )), 144.74/145.20 inference(superposition,[],[f964,f12690])). 144.74/145.20 fof(f21163,plain,( 144.74/145.20 ( ! [X15] : (multiplication(one,coantidomain(coantidomain(X15))) = addition(coantidomain(coantidomain(X15)),antidomain(coantidomain(X15)))) )), 144.74/145.20 inference(forward_demodulation,[],[f21122,f191])). 144.74/145.20 fof(f21164,plain,( 144.74/145.20 ( ! [X15] : (addition(coantidomain(coantidomain(X15)),antidomain(coantidomain(X15))) = coantidomain(coantidomain(X15))) )), 144.74/145.20 inference(forward_demodulation,[],[f21163,f52])). 144.74/145.20 fof(f25923,plain,( 144.74/145.20 ( ! [X0] : (addition(coantidomain(antidomain(antidomain(X0))),antidomain(X0)) = antidomain(X0)) )), 144.74/145.20 inference(superposition,[],[f17401,f13016])). 144.74/145.20 fof(f25924,plain,( 144.74/145.20 ( ! [X0] : (addition(one,antidomain(antidomain(X0))) = addition(coantidomain(coantidomain(antidomain(X0))),antidomain(antidomain(X0)))) )), 144.74/145.20 inference(superposition,[],[f149,f17401])). 144.74/145.20 fof(f25992,plain,( 144.74/145.20 ( ! [X0] : (addition(coantidomain(coantidomain(antidomain(X0))),antidomain(antidomain(X0))) = one) )), 144.74/145.20 inference(forward_demodulation,[],[f25924,f191])). 144.74/145.20 fof(f26131,plain,( 144.74/145.20 ( ! [X0] : (addition(one,antidomain(X0)) = addition(coantidomain(coantidomain(antidomain(antidomain(X0)))),antidomain(X0))) )), 144.74/145.20 inference(superposition,[],[f149,f25923])). 144.74/145.20 fof(f26212,plain,( 144.74/145.20 ( ! [X0] : (addition(coantidomain(coantidomain(antidomain(antidomain(X0)))),antidomain(X0)) = one) )), 144.74/145.20 inference(forward_demodulation,[],[f26131,f191])). 144.74/145.20 fof(f26382,plain,( 144.74/145.20 ( ! [X5] : (multiplication(coantidomain(antidomain(X5)),one) = multiplication(coantidomain(antidomain(X5)),antidomain(antidomain(X5)))) )), 144.74/145.20 inference(superposition,[],[f2452,f25992])). 144.74/145.20 fof(f26461,plain,( 144.74/145.20 ( ! [X5] : (multiplication(coantidomain(antidomain(X5)),antidomain(antidomain(X5))) = coantidomain(antidomain(X5))) )), 144.74/145.20 inference(forward_demodulation,[],[f26382,f51])). 144.74/145.20 fof(f26899,plain,( 144.74/145.20 ( ! [X5] : (multiplication(coantidomain(antidomain(antidomain(X5))),one) = multiplication(coantidomain(antidomain(antidomain(X5))),antidomain(X5))) )), 144.74/145.20 inference(superposition,[],[f2452,f26212])). 144.74/145.20 fof(f26904,plain,( 144.74/145.20 ( ! [X10] : (multiplication(one,X10) = multiplication(coantidomain(coantidomain(antidomain(antidomain(X10)))),X10)) )), 144.74/145.20 inference(superposition,[],[f1004,f26212])). 144.74/145.20 fof(f26997,plain,( 144.74/145.20 ( ! [X5] : (multiplication(coantidomain(antidomain(antidomain(X5))),antidomain(X5)) = coantidomain(antidomain(antidomain(X5)))) )), 144.74/145.20 inference(forward_demodulation,[],[f26899,f51])). 144.74/145.20 fof(f27002,plain,( 144.74/145.20 ( ! [X10] : (multiplication(coantidomain(coantidomain(antidomain(antidomain(X10)))),X10) = X10) )), 144.74/145.20 inference(forward_demodulation,[],[f26904,f52])). 144.74/145.20 fof(f27068,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(X10,X11) = multiplication(coantidomain(coantidomain(antidomain(antidomain(X10)))),multiplication(X10,X11))) )), 144.74/145.20 inference(superposition,[],[f72,f27002])). 144.74/145.20 fof(f30589,plain,( 144.74/145.20 ( ! [X0] : (addition(coantidomain(X0),antidomain(coantidomain(coantidomain(X0)))) = coantidomain(X0)) )), 144.74/145.20 inference(superposition,[],[f21164,f6381])). 144.74/145.20 fof(f30980,plain,( 144.74/145.20 ( ! [X24] : (addition(antidomain(coantidomain(coantidomain(X24))),coantidomain(X24)) = coantidomain(X24)) )), 144.74/145.20 inference(superposition,[],[f164,f30589])). 144.74/145.20 fof(f31329,plain,( 144.74/145.20 ( ! [X0] : (addition(one,coantidomain(X0)) = addition(antidomain(antidomain(coantidomain(coantidomain(X0)))),coantidomain(X0))) )), 144.74/145.20 inference(superposition,[],[f151,f30980])). 144.74/145.20 fof(f31410,plain,( 144.74/145.20 ( ! [X0] : (addition(antidomain(antidomain(coantidomain(coantidomain(X0)))),coantidomain(X0)) = one) )), 144.74/145.20 inference(forward_demodulation,[],[f31329,f183])). 144.74/145.20 fof(f31766,plain,( 144.74/145.20 ( ! [X5] : (multiplication(one,antidomain(coantidomain(coantidomain(X5)))) = multiplication(coantidomain(X5),antidomain(coantidomain(coantidomain(X5))))) )), 144.74/145.20 inference(superposition,[],[f995,f31410])). 144.74/145.20 fof(f31864,plain,( 144.74/145.20 ( ! [X5] : (multiplication(coantidomain(X5),antidomain(coantidomain(coantidomain(X5)))) = antidomain(coantidomain(coantidomain(X5)))) )), 144.74/145.20 inference(forward_demodulation,[],[f31766,f52])). 144.74/145.20 fof(f58082,plain,( 144.74/145.20 ( ! [X2,X3] : (multiplication(coantidomain(coantidomain(X2)),multiplication(X3,coantidomain(multiplication(X2,X3)))) = zero) )), 144.74/145.20 inference(superposition,[],[f18450,f72])). 144.74/145.20 fof(f61236,plain,( 144.74/145.20 ( ! [X46] : (multiplication(one,X46) = multiplication(coantidomain(coantidomain(coantidomain(antidomain(X46)))),X46)) )), 144.74/145.20 inference(superposition,[],[f18732,f62])). 144.74/145.20 fof(f61373,plain,( 144.74/145.20 ( ! [X46] : (multiplication(one,X46) = multiplication(coantidomain(antidomain(X46)),X46)) )), 144.74/145.20 inference(forward_demodulation,[],[f61236,f6381])). 144.74/145.20 fof(f61374,plain,( 144.74/145.20 ( ! [X46] : (multiplication(coantidomain(antidomain(X46)),X46) = X46) )), 144.74/145.20 inference(forward_demodulation,[],[f61373,f52])). 144.74/145.20 fof(f61377,plain,( 144.74/145.20 ( ! [X5] : (coantidomain(antidomain(antidomain(X5))) = antidomain(X5)) )), 144.74/145.20 inference(backward_demodulation,[],[f61374,f26997])). 144.74/145.20 fof(f61394,plain,( 144.74/145.20 ( ! [X0] : (addition(coantidomain(antidomain(X0)),antidomain(X0)) = one) )), 144.74/145.20 inference(backward_demodulation,[],[f61377,f26212])). 144.74/145.20 fof(f61422,plain,( 144.74/145.20 ( ! [X10,X11] : (multiplication(X10,X11) = multiplication(coantidomain(antidomain(X10)),multiplication(X10,X11))) )), 144.74/145.20 inference(backward_demodulation,[],[f61377,f27068])). 144.74/145.20 fof(f61565,plain,( 144.74/145.20 multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0)))) != zero), 144.74/145.20 inference(backward_demodulation,[],[f61377,f81])). 144.74/145.20 fof(f61691,plain,( 144.74/145.20 ( ! [X20] : (multiplication(coantidomain(antidomain(X20)),antidomain(antidomain(X20))) = antidomain(antidomain(X20))) )), 144.74/145.20 inference(superposition,[],[f61374,f13016])). 144.74/145.20 fof(f61786,plain,( 144.74/145.20 ( ! [X20] : (coantidomain(antidomain(X20)) = antidomain(antidomain(X20))) )), 144.74/145.20 inference(forward_demodulation,[],[f61691,f26461])). 144.74/145.20 fof(f62084,plain,( 144.74/145.20 ( ! [X5] : (coantidomain(coantidomain(antidomain(X5))) = antidomain(X5)) )), 144.74/145.20 inference(backward_demodulation,[],[f61786,f61377])). 144.74/145.20 fof(f62124,plain,( 144.74/145.20 ( ! [X19,X20,X18] : (multiplication(X18,multiplication(coantidomain(antidomain(multiplication(coantidomain(X18),X19))),X20)) = zero) )), 144.74/145.20 inference(backward_demodulation,[],[f61786,f19776])). 144.74/145.20 fof(f62163,plain,( 144.74/145.20 ( ! [X3] : (multiplication(X3,antidomain(antidomain(sK2))) = multiplication(addition(X3,coantidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),antidomain(antidomain(sK2)))) )), 144.74/145.20 inference(backward_demodulation,[],[f61786,f13098])). 144.74/145.20 fof(f62419,plain,( 144.74/145.20 multiplication(coantidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0)))) != zero), 144.74/145.20 inference(backward_demodulation,[],[f61786,f61565])). 144.74/145.20 fof(f62650,plain,( 144.74/145.20 ( ! [X3] : (multiplication(X3,coantidomain(antidomain(sK2))) = multiplication(addition(X3,coantidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),coantidomain(antidomain(sK2)))) )), 144.74/145.20 inference(forward_demodulation,[],[f62163,f61786])). 144.74/145.20 fof(f62651,plain,( 144.74/145.20 ( ! [X3] : (multiplication(X3,coantidomain(antidomain(sK2))) = multiplication(addition(X3,coantidomain(antidomain(multiplication(sK0,coantidomain(antidomain(sK1)))))),coantidomain(antidomain(sK2)))) )), 144.74/145.20 inference(forward_demodulation,[],[f62650,f61786])). 144.74/145.20 fof(f106226,plain,( 144.74/145.20 ( ! [X416,X417] : (multiplication(multiplication(X417,coantidomain(X416)),coantidomain(multiplication(X417,one))) = zero) )), 144.74/145.20 inference(superposition,[],[f6153,f171])). 144.74/145.20 fof(f106412,plain,( 144.74/145.20 ( ! [X416,X417] : (multiplication(multiplication(X417,coantidomain(X416)),coantidomain(X417)) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f106226,f51])). 144.74/145.20 fof(f106709,plain,( 144.74/145.20 ( ! [X50,X48,X49] : (multiplication(zero,X50) = multiplication(multiplication(X48,coantidomain(X49)),multiplication(coantidomain(X48),X50))) )), 144.74/145.20 inference(superposition,[],[f72,f106412])). 144.74/145.20 fof(f106786,plain,( 144.74/145.20 ( ! [X50,X48,X49] : (multiplication(multiplication(X48,coantidomain(X49)),multiplication(coantidomain(X48),X50)) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f106709,f54])). 144.74/145.20 fof(f108286,plain,( 144.74/145.20 ( ! [X12,X13,X11] : (multiplication(multiplication(antidomain(X11),coantidomain(X13)),multiplication(X11,X12)) = zero) )), 144.74/145.20 inference(superposition,[],[f106786,f61422])). 144.74/145.20 fof(f138415,plain,( 144.74/145.20 multiplication(one,coantidomain(antidomain(sK2))) = multiplication(coantidomain(coantidomain(antidomain(multiplication(sK0,coantidomain(antidomain(sK1)))))),coantidomain(antidomain(sK2)))), 144.74/145.20 inference(superposition,[],[f62651,f62])). 144.74/145.20 fof(f138541,plain,( 144.74/145.20 multiplication(one,coantidomain(antidomain(sK2))) = multiplication(antidomain(multiplication(sK0,coantidomain(antidomain(sK1)))),coantidomain(antidomain(sK2)))), 144.74/145.20 inference(forward_demodulation,[],[f138415,f62084])). 144.74/145.20 fof(f138542,plain,( 144.74/145.20 multiplication(antidomain(multiplication(sK0,coantidomain(antidomain(sK1)))),coantidomain(antidomain(sK2))) = coantidomain(antidomain(sK2))), 144.74/145.20 inference(forward_demodulation,[],[f138541,f52])). 144.74/145.20 fof(f145915,plain,( 144.74/145.20 ( ! [X80,X81] : (multiplication(one,X80) = multiplication(coantidomain(antidomain(addition(X80,X81))),X80)) )), 144.74/145.20 inference(superposition,[],[f12839,f61394])). 144.74/145.20 fof(f146151,plain,( 144.74/145.20 ( ! [X80,X81] : (multiplication(coantidomain(antidomain(addition(X80,X81))),X80) = X80) )), 144.74/145.20 inference(forward_demodulation,[],[f145915,f52])). 144.74/145.20 fof(f234205,plain,( 144.74/145.20 ( ! [X19] : (multiplication(X19,one) = multiplication(X19,coantidomain(coantidomain(antidomain(coantidomain(X19)))))) )), 144.74/145.20 inference(superposition,[],[f17485,f117])). 144.74/145.20 fof(f234452,plain,( 144.74/145.20 ( ! [X19] : (multiplication(X19,one) = multiplication(X19,antidomain(coantidomain(X19)))) )), 144.74/145.20 inference(forward_demodulation,[],[f234205,f62084])). 144.74/145.20 fof(f234453,plain,( 144.74/145.20 ( ! [X19] : (multiplication(X19,antidomain(coantidomain(X19))) = X19) )), 144.74/145.20 inference(forward_demodulation,[],[f234452,f51])). 144.74/145.20 fof(f234456,plain,( 144.74/145.20 ( ! [X5] : (coantidomain(X5) = antidomain(coantidomain(coantidomain(X5)))) )), 144.74/145.20 inference(backward_demodulation,[],[f234453,f31864])). 144.74/145.20 fof(f284557,plain,( 144.74/145.20 ( ! [X0] : (multiplication(coantidomain(antidomain(sK2)),multiplication(multiplication(sK0,coantidomain(antidomain(sK1))),X0)) = zero) )), 144.74/145.20 inference(superposition,[],[f108286,f138542])). 144.74/145.20 fof(f284634,plain,( 144.74/145.20 ( ! [X0] : (multiplication(coantidomain(antidomain(sK2)),multiplication(sK0,multiplication(coantidomain(antidomain(sK1)),X0))) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f284557,f72])). 144.74/145.20 fof(f285026,plain,( 144.74/145.20 multiplication(coantidomain(antidomain(sK2)),multiplication(sK0,sK1)) = zero), 144.74/145.20 inference(superposition,[],[f284634,f61374])). 144.74/145.20 fof(f285402,plain,( 144.74/145.20 ( ! [X15] : (multiplication(addition(multiplication(coantidomain(antidomain(sK2)),sK0),X15),sK1) = addition(zero,multiplication(X15,sK1))) )), 144.74/145.20 inference(superposition,[],[f963,f285026])). 144.74/145.20 fof(f285488,plain,( 144.74/145.20 ( ! [X15] : (multiplication(X15,sK1) = multiplication(addition(multiplication(coantidomain(antidomain(sK2)),sK0),X15),sK1)) )), 144.74/145.20 inference(forward_demodulation,[],[f285402,f89])). 144.74/145.20 fof(f285938,plain,( 144.74/145.20 multiplication(zero,sK1) = multiplication(multiplication(coantidomain(antidomain(sK2)),sK0),sK1)), 144.74/145.20 inference(superposition,[],[f285488,f53])). 144.74/145.20 fof(f286046,plain,( 144.74/145.20 multiplication(multiplication(coantidomain(antidomain(sK2)),sK0),sK1) = zero), 144.74/145.20 inference(forward_demodulation,[],[f285938,f54])). 144.74/145.20 fof(f286159,plain,( 144.74/145.20 multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0))),multiplication(sK1,coantidomain(zero))) = zero), 144.74/145.20 inference(superposition,[],[f58082,f286046])). 144.74/145.20 fof(f286224,plain,( 144.74/145.20 multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0))),multiplication(sK1,one)) = zero), 144.74/145.20 inference(forward_demodulation,[],[f286159,f121])). 144.74/145.20 fof(f286225,plain,( 144.74/145.20 multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0))),sK1) = zero), 144.74/145.20 inference(forward_demodulation,[],[f286224,f51])). 144.74/145.20 fof(f286662,plain,( 144.74/145.20 ( ! [X16] : (multiplication(addition(X16,coantidomain(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0)))),sK1) = addition(multiplication(X16,sK1),zero)) )), 144.74/145.20 inference(superposition,[],[f73,f286225])). 144.74/145.20 fof(f286738,plain,( 144.74/145.20 ( ! [X16] : (multiplication(X16,sK1) = multiplication(addition(X16,coantidomain(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0)))),sK1)) )), 144.74/145.20 inference(forward_demodulation,[],[f286662,f53])). 144.74/145.20 fof(f1015370,plain,( 144.74/145.20 ( ! [X1583,X1582] : (multiplication(one,X1583) = addition(multiplication(coantidomain(X1582),X1583),multiplication(one,X1583))) )), 144.74/145.20 inference(superposition,[],[f984,f171])). 144.74/145.20 fof(f1015633,plain,( 144.74/145.20 ( ! [X1583,X1582] : (addition(multiplication(coantidomain(X1582),X1583),X1583) = X1583) )), 144.74/145.20 inference(forward_demodulation,[],[f1015370,f52])). 144.74/145.20 fof(f1016349,plain,( 144.74/145.20 ( ! [X980,X981] : (multiplication(coantidomain(X980),X981) = multiplication(coantidomain(antidomain(X981)),multiplication(coantidomain(X980),X981))) )), 144.74/145.20 inference(superposition,[],[f146151,f1015633])). 144.74/145.20 fof(f1177559,plain,( 144.74/145.20 ( ! [X30,X31] : (multiplication(coantidomain(antidomain(multiplication(coantidomain(coantidomain(antidomain(X30))),X31))),X30) = zero) )), 144.74/145.20 inference(superposition,[],[f1016349,f62124])). 144.74/145.20 fof(f1177775,plain,( 144.74/145.20 ( ! [X30,X31] : (multiplication(coantidomain(antidomain(multiplication(antidomain(X30),X31))),X30) = zero) )), 144.74/145.20 inference(forward_demodulation,[],[f1177559,f62084])). 144.74/145.20 fof(f1178293,plain,( 144.74/145.20 ( ! [X109,X108] : (multiplication(coantidomain(antidomain(multiplication(coantidomain(X108),X109))),coantidomain(coantidomain(X108))) = zero) )), 144.74/145.20 inference(superposition,[],[f1177775,f234456])). 144.74/145.20 fof(f1818414,plain,( 144.74/145.20 multiplication(one,sK1) = multiplication(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0)),sK1)), 144.74/145.20 inference(superposition,[],[f286738,f117])). 144.74/145.20 fof(f1818541,plain,( 144.74/145.20 multiplication(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0)),sK1) = sK1), 144.74/145.20 inference(forward_demodulation,[],[f1818414,f52])). 144.74/145.20 fof(f1818703,plain,( 144.74/145.20 multiplication(coantidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(sK2)),sK0)))) = zero), 144.74/145.20 inference(superposition,[],[f1178293,f1818541])). 144.74/145.20 fof(f1818903,plain,( 144.74/145.20 $false), 144.74/145.20 inference(subsumption_resolution,[],[f1818703,f62419])). 144.74/145.20 % SZS output end Proof for theBenchmark 144.74/145.20 % ------------------------------ 144.74/145.20 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 144.74/145.20 % Termination reason: Refutation 144.74/145.20 144.74/145.20 % Memory used [KB]: 965229 144.74/145.20 % Time elapsed: 39.327 s 144.74/145.20 % ------------------------------ 144.74/145.20 % ------------------------------ 144.74/145.20 % Success in time 144.096 s 144.74/145.20 EOF