%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG008-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:05:07 PM UTC 2026
% Result : Unsatisfiable 218.95s 28.19s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG008-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n020.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 04:11:48 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 218.95/28.19 % Refutation found
% 218.95/28.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 218.95/28.19 % SZS output start CNFRefutation for theBenchmark
% 218.95/28.19 fof(f1,axiom,(
% 218.95/28.19 (![X]: (sum(additive_identity,X,X) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f2,axiom,(
% 218.95/28.19 (![X]: (sum(X,additive_identity,X) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f3,axiom,(
% 218.95/28.19 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f4,axiom,(
% 218.95/28.19 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f5,axiom,(
% 218.95/28.19 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f6,axiom,(
% 218.95/28.19 (![X]: (sum(X,additive_inverse(X),additive_identity) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f7,axiom,(
% 218.95/28.19 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W)| sum(X,V,W) ) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f8,axiom,(
% 218.95/28.19 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W)| sum(U,Z,W) ) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f9,axiom,(
% 218.95/28.19 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f12,axiom,(
% 218.95/28.19 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ product(X,V3,V4)| sum(V1,V2,V4) ) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f14,axiom,(
% 218.95/28.19 (![Y,X,V1,Z,V2,V3,V4]: (( ~ product(Y,X,V1)| ~ product(Z,X,V2)| ~ sum(Y,Z,V3)| ~ product(V3,X,V4)| sum(V1,V2,V4) ) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f15,axiom,(
% 218.95/28.19 (![Y,X,V1,Z,V2,V3,V4]: (( ~ product(Y,X,V1)| ~ product(Z,X,V2)| ~ sum(Y,Z,V3)| ~ sum(V1,V2,V4)| product(V3,X,V4) ) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f16,axiom,(
% 218.95/28.19 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f17,axiom,(
% 218.95/28.19 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f18,axiom,(
% 218.95/28.19 (![X]: (product(X,additive_identity,additive_identity) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f19,axiom,(
% 218.95/28.19 (![X]: (product(additive_identity,X,additive_identity) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f20,hypothesis,(
% 218.95/28.19 (![X]: (product(X,X,X) ))),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f21,hypothesis,(
% 218.95/28.19 product(a,b,c) ),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f22,negated_conjecture,(
% 218.95/28.19 ~ product(b,a,c) ),
% 218.95/28.19 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 218.95/28.19 fof(f23,plain,(
% 218.95/28.19 ![X0]: (sum(additive_identity,X0,X0))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f1])).
% 218.95/28.19 fof(f24,plain,(
% 218.95/28.19 ![X0]: (sum(X0,additive_identity,X0))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f2])).
% 218.95/28.19 fof(f25,plain,(
% 218.95/28.19 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f3])).
% 218.95/28.19 fof(f26,plain,(
% 218.95/28.19 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f4])).
% 218.95/28.19 fof(f27,plain,(
% 218.95/28.19 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f5])).
% 218.95/28.19 fof(f28,plain,(
% 218.95/28.19 ![X0]: (sum(X0,additive_inverse(X0),additive_identity))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f6])).
% 218.95/28.19 fof(f29,plain,(
% 218.95/28.19 ![X,V,W]: ((![U,Z]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(U,Z,W)))|sum(X,V,W))),
% 218.95/28.19 inference(miniscoping,[status(thm)],[f7])).
% 218.95/28.19 fof(f30,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X2,X3,X5)|sum(X0,X4,X5))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f29])).
% 218.95/28.19 fof(f31,plain,(
% 218.95/28.19 ![U,Z,W]: ((![X,V]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(X,V,W)))|sum(U,Z,W))),
% 218.95/28.19 inference(miniscoping,[status(thm)],[f8])).
% 218.95/28.19 fof(f32,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X0,X4,X5)|sum(X2,X3,X5))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f31])).
% 218.95/28.19 fof(f33,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f9])).
% 218.95/28.19 fof(f38,plain,(
% 218.95/28.19 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~product(X,V3,V4)))|sum(V1,V2,V4))),
% 218.95/28.19 inference(miniscoping,[status(thm)],[f12])).
% 218.95/28.19 fof(f39,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~product(X0,X5,X6)|sum(X2,X4,X6))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f38])).
% 218.95/28.19 fof(f42,plain,(
% 218.95/28.19 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~product(Y,X,V1)|~product(Z,X,V2))|~sum(Y,Z,V3)))|~product(V3,X,V4)))|sum(V1,V2,V4))),
% 218.95/28.19 inference(miniscoping,[status(thm)],[f14])).
% 218.95/28.19 fof(f43,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X3,X1,X4)|~sum(X0,X3,X5)|~product(X5,X1,X6)|sum(X2,X4,X6))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f42])).
% 218.95/28.19 fof(f44,plain,(
% 218.95/28.19 ![X,V3,V4]: ((![V1,V2]: ((![Y,Z]: ((~product(Y,X,V1)|~product(Z,X,V2))|~sum(Y,Z,V3)))|~sum(V1,V2,V4)))|product(V3,X,V4))),
% 218.95/28.19 inference(miniscoping,[status(thm)],[f15])).
% 218.95/28.19 fof(f45,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X3,X1,X4)|~sum(X0,X3,X5)|~sum(X2,X4,X6)|product(X5,X1,X6))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f44])).
% 218.95/28.19 fof(f46,plain,(
% 218.95/28.19 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 218.95/28.19 inference(miniscoping,[status(thm)],[f16])).
% 218.95/28.19 fof(f47,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f46])).
% 218.95/28.19 fof(f48,plain,(
% 218.95/28.19 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 218.95/28.19 inference(miniscoping,[status(thm)],[f17])).
% 218.95/28.19 fof(f49,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f48])).
% 218.95/28.19 fof(f50,plain,(
% 218.95/28.19 ![X0]: (product(X0,additive_identity,additive_identity))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f18])).
% 218.95/28.19 fof(f51,plain,(
% 218.95/28.19 ![X0]: (product(additive_identity,X0,additive_identity))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f19])).
% 218.95/28.19 fof(f52,plain,(
% 218.95/28.19 ![X0]: (product(X0,X0,X0))),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f20])).
% 218.95/28.19 fof(f53,plain,(
% 218.95/28.19 product(a,b,c)),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f21])).
% 218.95/28.19 fof(f54,plain,(
% 218.95/28.19 ~product(b,a,c)),
% 218.95/28.19 inference(cnf_transformation,[status(thm)],[f22])).
% 218.95/28.19 fof(f57,plain,(
% 218.95/28.19 ![X0]: (~product(a,b,X0)|c=X0)),
% 218.95/28.19 inference(resolution,[status(thm)],[f49,f53])).
% 218.95/28.19 fof(f75,plain,(
% 218.95/28.19 c=multiply(a,b)),
% 218.95/28.19 inference(resolution,[status(thm)],[f25,f57])).
% 218.95/28.19 fof(f119,plain,(
% 218.95/28.19 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 218.95/28.19 inference(resolution,[status(thm)],[f33,f26])).
% 218.95/28.19 fof(f122,plain,(
% 218.95/28.19 ![X0,X1]: (~sum(additive_identity,X0,X1)|X0=X1)),
% 218.95/28.19 inference(resolution,[status(thm)],[f47,f23])).
% 218.95/28.19 fof(f124,plain,(
% 218.95/28.19 ![X0,X1]: (~sum(X0,additive_identity,X1)|X0=X1)),
% 218.95/28.19 inference(resolution,[status(thm)],[f47,f24])).
% 218.95/28.19 fof(f125,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X1,X0)=X2)),
% 218.95/28.19 inference(resolution,[status(thm)],[f47,f119])).
% 218.95/28.19 fof(f126,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X0,X1)=X2)),
% 218.95/28.19 inference(resolution,[status(thm)],[f47,f26])).
% 218.95/28.19 fof(f128,plain,(
% 218.95/28.19 additive_inverse(additive_identity)=additive_identity),
% 218.95/28.19 inference(resolution,[status(thm)],[f122,f28])).
% 218.95/28.19 fof(f130,plain,(
% 218.95/28.19 ![X0]: (X0=add(X0,additive_identity))),
% 218.95/28.19 inference(resolution,[status(thm)],[f122,f119])).
% 218.95/28.19 fof(f131,plain,(
% 218.95/28.19 ![X0]: (X0=add(additive_identity,X0))),
% 218.95/28.19 inference(resolution,[status(thm)],[f122,f26])).
% 218.95/28.19 fof(f136,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(additive_identity,X1,X3)|sum(additive_inverse(X0),X2,X3))),
% 218.95/28.19 inference(resolution,[status(thm)],[f30,f27])).
% 218.95/28.19 fof(f138,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(additive_inverse(X0),X1,X2)|~sum(additive_identity,X1,X3)|sum(X0,X2,X3))),
% 218.95/28.19 inference(resolution,[status(thm)],[f30,f28])).
% 218.95/28.19 fof(f140,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(add(X0,X3),X1,X4)|sum(X3,X2,X4))),
% 218.95/28.19 inference(resolution,[status(thm)],[f30,f119])).
% 218.95/28.19 fof(f141,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(add(X3,X0),X1,X4)|sum(X3,X2,X4))),
% 218.95/28.19 inference(resolution,[status(thm)],[f30,f26])).
% 218.95/28.19 fof(f147,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(X3,X2,X4)|sum(add(X3,X0),X1,X4))),
% 218.95/28.19 inference(resolution,[status(thm)],[f32,f26])).
% 218.95/28.19 fof(f152,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~sum(X0,X1,X3)|~product(X0,X3,X4)|sum(X0,X2,X4))),
% 218.95/28.19 inference(resolution,[status(thm)],[f39,f52])).
% 218.95/28.19 fof(f276,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~sum(X1,X0,X3)|~product(X3,X1,X4)|sum(X1,X2,X4))),
% 218.95/28.19 inference(resolution,[status(thm)],[f43,f52])).
% 218.95/28.19 fof(f282,plain,(
% 218.95/28.19 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~sum(X3,X0,X4)|~sum(multiply(X3,X1),X2,X5)|product(X4,X1,X5))),
% 218.95/28.19 inference(resolution,[status(thm)],[f45,f25])).
% 218.95/28.19 fof(f377,plain,(
% 218.95/28.19 ![X0,X1]: (~sum(additive_identity,X0,X1)|sum(additive_inverse(additive_inverse(X0)),additive_identity,X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f136,f27])).
% 218.95/28.19 fof(f381,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~sum(additive_identity,X0,X1)|sum(additive_inverse(X2),add(X0,X2),X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f136,f119])).
% 218.95/28.19 fof(f382,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~sum(additive_identity,X0,X1)|sum(additive_inverse(X2),add(X2,X0),X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f136,f26])).
% 218.95/28.19 fof(f393,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~sum(additive_identity,X0,X1)|sum(X2,add(additive_inverse(X2),X0),X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f138,f26])).
% 218.95/28.19 fof(f421,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~product(X0,X2,X3)|sum(X0,multiply(X0,X1),X3))),
% 218.95/28.19 inference(resolution,[status(thm)],[f152,f25])).
% 218.95/28.19 fof(f529,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(add(X0,X1),X2,X3)|sum(X0,add(X1,X2),X3))),
% 218.95/28.19 inference(resolution,[status(thm)],[f141,f26])).
% 218.95/28.19 fof(f622,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~product(X2,X0,X3)|sum(X0,multiply(X1,X0),X3))),
% 218.95/28.19 inference(resolution,[status(thm)],[f276,f25])).
% 218.95/28.19 fof(f775,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(X0,add(X1,X2),X3)|sum(add(X0,X2),X1,X3))),
% 218.95/28.19 inference(resolution,[status(thm)],[f147,f119])).
% 218.95/28.19 fof(f1885,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(multiply(X0,X1),X1,X3)|product(X2,X1,X3))),
% 218.95/28.19 inference(resolution,[status(thm)],[f282,f52])).
% 218.95/28.19 fof(f1894,plain,(
% 218.95/28.19 ![X0,X1,X2,X3]: (~sum(add(X0,X1),X2,X3)|sum(X1,add(X0,X2),X3))),
% 218.95/28.19 inference(resolution,[status(thm)],[f140,f26])).
% 218.95/28.19 fof(f2362,plain,(
% 218.95/28.19 ![X0]: (sum(additive_inverse(additive_inverse(X0)),additive_identity,X0))),
% 218.95/28.19 inference(resolution,[status(thm)],[f377,f23])).
% 218.95/28.19 fof(f2375,plain,(
% 218.95/28.19 ![X0,X1]: (sum(additive_inverse(X0),add(X1,X0),X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f381,f23])).
% 218.95/28.19 fof(f2386,plain,(
% 218.95/28.19 ![X0,X1]: (sum(additive_inverse(X0),add(X0,X1),X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f382,f23])).
% 218.95/28.19 fof(f2833,plain,(
% 218.95/28.19 ![X0,X1]: (~product(X0,additive_identity,X1)|sum(X0,multiply(X0,additive_inverse(X0)),X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f421,f28])).
% 218.95/28.19 fof(f2836,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~product(X0,add(X0,X1),X2)|sum(X0,multiply(X0,X1),X2))),
% 218.95/28.19 inference(resolution,[status(thm)],[f421,f26])).
% 218.95/28.19 fof(f2847,plain,(
% 218.95/28.19 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 218.95/28.19 inference(resolution,[status(thm)],[f2362,f124])).
% 218.95/28.19 fof(f2903,plain,(
% 218.95/28.19 ![X0,X1]: (sum(X0,add(additive_inverse(X0),X1),X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f393,f23])).
% 218.95/28.19 fof(f3128,plain,(
% 218.95/28.19 ![X0,X1]: (add(additive_inverse(X0),add(X1,X0))=X1)),
% 218.95/28.19 inference(resolution,[status(thm)],[f2375,f126])).
% 218.95/28.19 fof(f3129,plain,(
% 218.95/28.19 ![X0,X1]: (add(add(X0,X1),additive_inverse(X1))=X0)),
% 218.95/28.19 inference(resolution,[status(thm)],[f2375,f125])).
% 218.95/28.19 fof(f3161,plain,(
% 218.95/28.19 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=X1)),
% 218.95/28.19 inference(resolution,[status(thm)],[f2386,f126])).
% 218.95/28.19 fof(f3309,plain,(
% 218.95/28.19 ![X0,X1,X2]: (sum(X0,add(X1,X2),add(X2,add(X0,X1))))),
% 218.95/28.19 inference(resolution,[status(thm)],[f529,f119])).
% 218.95/28.19 fof(f3403,plain,(
% 218.95/28.19 ![X0,X1]: (add(add(additive_inverse(X0),X1),X0)=X1)),
% 218.95/28.19 inference(resolution,[status(thm)],[f2903,f125])).
% 218.95/28.19 fof(f3467,plain,(
% 218.95/28.19 ![X0,X1]: (add(X0,additive_inverse(add(X0,X1)))=additive_inverse(X1))),
% 218.95/28.19 inference(paramodulation,[status(thm)],[f3128,f3129])).
% 218.95/28.19 fof(f3660,plain,(
% 218.95/28.19 ![X0,X1]: (add(additive_inverse(add(X0,X1)),X1)=additive_inverse(X0))),
% 218.95/28.19 inference(paramodulation,[status(thm)],[f3161,f3128])).
% 218.95/28.19 fof(f3811,plain,(
% 218.95/28.19 ![X0,X1]: (~product(additive_identity,additive_inverse(X0),X1)|sum(additive_inverse(X0),multiply(X0,additive_inverse(X0)),X1))),
% 218.95/28.19 inference(resolution,[status(thm)],[f622,f27])).
% 218.95/28.19 fof(f3819,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~product(add(X0,X1),X0,X2)|sum(X0,multiply(X1,X0),X2))),
% 218.95/28.19 inference(resolution,[status(thm)],[f622,f26])).
% 218.95/28.19 fof(f4546,plain,(
% 218.95/28.19 ![X0,X1,X2]: (sum(add(X0,X1),X2,add(add(X2,X1),X0)))),
% 218.95/28.19 inference(resolution,[status(thm)],[f775,f119])).
% 218.95/28.19 fof(f6562,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~sum(multiply(additive_inverse(X0),add(X0,X1)),add(X0,X1),X2)|product(X1,add(X0,X1),X2))),
% 218.95/28.19 inference(resolution,[status(thm)],[f1885,f2386])).
% 218.95/28.19 fof(f7640,plain,(
% 218.95/28.19 ![X0,X1,X2]: (sum(X0,add(X1,X2),add(X2,add(X1,X0))))),
% 218.95/28.19 inference(resolution,[status(thm)],[f1894,f119])).
% 218.95/28.19 fof(f8362,plain,(
% 218.95/28.19 ![X0]: (sum(X0,multiply(X0,additive_inverse(X0)),additive_identity))),
% 218.95/28.19 inference(resolution,[status(thm)],[f2833,f50])).
% 218.95/28.19 fof(f8436,plain,(
% 218.95/28.19 ![X0]: (add(X0,multiply(X0,additive_inverse(X0)))=additive_identity)),
% 218.95/28.19 inference(resolution,[status(thm)],[f8362,f126])).
% 218.95/28.19 fof(f8523,plain,(
% 218.95/28.19 ![X0]: (add(additive_inverse(additive_identity),multiply(X0,additive_inverse(X0)))=additive_inverse(X0))),
% 218.95/28.19 inference(paramodulation,[status(thm)],[f8436,f3660])).
% 218.95/28.19 fof(f8587,plain,(
% 218.95/28.19 ![X0]: (add(additive_identity,multiply(X0,additive_inverse(X0)))=additive_inverse(X0))),
% 218.95/28.19 inference(forward_demodulation,[status(thm)],[f128,f8523])).
% 218.95/28.19 fof(f8588,plain,(
% 218.95/28.19 ![X0]: (multiply(X0,additive_inverse(X0))=additive_inverse(X0))),
% 218.95/28.19 inference(forward_demodulation,[status(thm)],[f131,f8587])).
% 218.95/28.19 fof(f8754,plain,(
% 218.95/28.19 ![X0,X1]: (sum(X0,multiply(X0,X1),multiply(X0,add(X0,X1))))),
% 218.95/28.19 inference(resolution,[status(thm)],[f2836,f25])).
% 218.95/28.19 fof(f9510,plain,(
% 218.95/28.19 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X1,add(X2,X0)))),
% 218.95/28.19 inference(resolution,[status(thm)],[f3309,f125])).
% 218.95/28.19 fof(f10092,plain,(
% 218.95/28.19 ![X0,X1]: (~product(additive_identity,additive_inverse(X0),X1)|sum(additive_inverse(X0),additive_inverse(X0),X1))),
% 218.95/28.19 inference(forward_demodulation,[status(thm)],[f8588,f3811])).
% 218.95/28.19 fof(f10093,plain,(
% 218.95/28.19 ![X0]: (sum(additive_inverse(X0),additive_inverse(X0),additive_identity))),
% 218.95/28.19 inference(resolution,[status(thm)],[f10092,f51])).
% 218.95/28.19 fof(f10144,plain,(
% 218.95/28.19 ![X0]: (sum(X0,additive_inverse(additive_inverse(X0)),additive_identity))),
% 218.95/28.19 inference(paramodulation,[status(thm)],[f2847,f10093])).
% 218.95/28.19 fof(f10158,plain,(
% 218.95/28.19 ![X0]: (sum(X0,X0,additive_identity))),
% 218.95/28.19 inference(forward_demodulation,[status(thm)],[f2847,f10144])).
% 218.95/28.19 fof(f10249,plain,(
% 218.95/28.19 ![X0]: (add(X0,X0)=additive_identity)),
% 218.95/28.19 inference(resolution,[status(thm)],[f10158,f126])).
% 218.95/28.19 fof(f10314,plain,(
% 218.95/28.19 ![X0]: (add(additive_identity,X0)=additive_inverse(X0))),
% 218.95/28.19 inference(paramodulation,[status(thm)],[f10249,f3403])).
% 218.95/28.19 fof(f10411,plain,(
% 218.95/28.19 ![X0]: (X0=additive_inverse(X0))),
% 218.95/28.19 inference(forward_demodulation,[status(thm)],[f131,f10314])).
% 218.95/28.19 fof(f10486,plain,(
% 218.95/28.19 ![X0,X1]: (add(X0,add(X0,X1))=additive_inverse(X1))),
% 218.95/28.19 inference(backward_demodulation,[status(thm)],[f10411,f3467])).
% 218.95/28.19 fof(f10571,plain,(
% 218.95/28.19 ![X0,X1]: (add(X0,add(X0,X1))=X1)),
% 218.95/28.19 inference(forward_demodulation,[status(thm)],[f10411,f10486])).
% 218.95/28.19 fof(f11459,plain,(
% 218.95/28.19 ![X0,X1]: (sum(X0,multiply(X1,X0),multiply(add(X0,X1),X0)))),
% 218.95/28.19 inference(resolution,[status(thm)],[f3819,f25])).
% 218.95/28.19 fof(f11659,plain,(
% 218.95/28.19 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(add(X2,X1),X0))),
% 218.95/28.19 inference(resolution,[status(thm)],[f4546,f126])).
% 218.95/28.19 fof(f13569,plain,(
% 218.95/28.19 ![X0,X1]: (add(X0,multiply(X0,X1))=multiply(X0,add(X0,X1)))),
% 218.95/28.19 inference(resolution,[status(thm)],[f8754,f126])).
% 218.95/28.19 fof(f32222,plain,(
% 218.95/28.19 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(add(X0,X1),X0))),
% 218.95/28.19 inference(resolution,[status(thm)],[f11459,f126])).
% 218.95/28.19 fof(f36776,plain,(
% 218.95/28.19 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X1,X0),X2))),
% 218.95/28.19 inference(forward_demodulation,[status(thm)],[f9510,f11659])).
% 218.95/28.19 fof(f76031,plain,(
% 218.95/28.19 ![X0,X1,X2]: (~sum(multiply(X0,add(X0,X1)),add(X0,X1),X2)|product(X1,add(X0,X1),X2))),
% 218.95/28.19 inference(forward_demodulation,[status(thm)],[f10411,f6562])).
% 218.95/28.19 fof(f76035,plain,(
% 218.95/28.19 ![X0,X1]: (product(X0,add(X1,X0),add(X0,add(X1,multiply(X1,add(X1,X0))))))),
% 218.95/28.19 inference(resolution,[status(thm)],[f76031,f7640])).
% 218.95/28.19 fof(f76106,plain,(
% 218.95/28.19 ![X0,X1]: (product(X0,add(X1,X0),add(X0,multiply(X1,add(X1,add(X1,X0))))))),
% 14.17/28.22 inference(forward_demodulation,[status(thm)],[f13569,f76035])).
% 14.17/28.22 fof(f76107,plain,(
% 14.17/28.22 ![X0,X1]: (product(X0,add(X1,X0),add(X0,multiply(X1,X0))))),
% 14.17/28.22 inference(forward_demodulation,[status(thm)],[f10571,f76106])).
% 14.17/28.22 fof(f106541,plain,(
% 14.17/28.22 ![X0,X1]: (product(X0,add(X1,X0),multiply(add(X0,X1),X0)))),
% 14.17/28.22 inference(forward_demodulation,[status(thm)],[f32222,f76107])).
% 14.17/28.22 fof(f106761,plain,(
% 14.17/28.22 ![X0,X1]: (product(X0,add(add(X0,X1),X0),multiply(X1,X0)))),
% 14.17/28.22 inference(paramodulation,[status(thm)],[f10571,f106541])).
% 14.17/28.22 fof(f106924,plain,(
% 14.17/28.22 ![X0,X1]: (product(X0,add(X1,add(X0,X0)),multiply(X1,X0)))),
% 14.17/28.22 inference(forward_demodulation,[status(thm)],[f36776,f106761])).
% 14.17/28.22 fof(f106925,plain,(
% 14.17/28.22 ![X0,X1]: (product(X0,add(X1,additive_identity),multiply(X1,X0)))),
% 14.17/28.22 inference(forward_demodulation,[status(thm)],[f10249,f106924])).
% 14.17/28.22 fof(f106926,plain,(
% 14.17/28.22 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 14.17/28.22 inference(forward_demodulation,[status(thm)],[f130,f106925])).
% 14.17/28.22 fof(f107267,plain,(
% 14.17/28.22 product(b,a,c)),
% 14.17/28.22 inference(paramodulation,[status(thm)],[f75,f106926])).
% 14.17/28.22 fof(f107384,plain,(
% 14.17/28.22 $false),
% 14.17/28.22 inference(forward_subsumption_resolution,[status(thm)],[f107267,f54])).
% 14.17/28.22 % SZS output end CNFRefutation for theBenchmark.p
% 14.17/28.24 % Elapsed time: 27.788902 seconds
% 14.17/28.24 % CPU time: 219.578170 seconds
% 14.17/28.24 % Total memory used: 247.103 MB
% 14.17/28.24 % Net memory used: 209.106 MB
%------------------------------------------------------------------------------