%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG008-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 148.82s 19.29s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG008-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:11:08 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 148.82/19.29 % Refutation found
% 148.82/19.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 148.82/19.29 % SZS output start CNFRefutation for theBenchmark
% 148.82/19.29 fof(f1,axiom,(
% 148.82/19.29 (![X]: (sum(additive_identity,X,X) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f3,axiom,(
% 148.82/19.29 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f4,axiom,(
% 148.82/19.29 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f5,axiom,(
% 148.82/19.29 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f6,axiom,(
% 148.82/19.29 (![X]: (sum(X,additive_inverse(X),additive_identity) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f7,axiom,(
% 148.82/19.29 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W)| sum(X,V,W) ) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f9,axiom,(
% 148.82/19.29 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f12,axiom,(
% 148.82/19.29 (![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) ) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f13,axiom,(
% 148.82/19.29 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ sum(V1,V2,V4)| product(X,V3,V4) ) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f14,axiom,(
% 148.82/19.29 (![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) ) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f16,axiom,(
% 148.82/19.29 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f17,axiom,(
% 148.82/19.29 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.29 fof(f19,axiom,(
% 148.82/19.29 (![X]: (sum(additive_inverse(additive_inverse(X)),additive_identity,X) ))),
% 148.82/19.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.30 fof(f21,axiom,(
% 148.82/19.30 (![X]: (product(additive_identity,X,additive_identity) ))),
% 148.82/19.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.30 fof(f22,axiom,(
% 148.82/19.30 (![X,Y]: (sum(additive_inverse(X),additive_inverse(Y),additive_inverse(add(X,Y))) ))),
% 148.82/19.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.30 fof(f23,axiom,(
% 148.82/19.30 (![X,Y]: (product(X,additive_inverse(Y),additive_inverse(multiply(X,Y))) ))),
% 148.82/19.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.30 fof(f24,hypothesis,(
% 148.82/19.30 (![X]: (product(X,X,X) ))),
% 148.82/19.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.30 fof(f25,hypothesis,(
% 148.82/19.30 product(a,b,c) ),
% 148.82/19.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.30 fof(f26,negated_conjecture,(
% 148.82/19.30 ~ product(b,a,c) ),
% 148.82/19.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 148.82/19.30 fof(f27,plain,(
% 148.82/19.30 ![X0]: (sum(additive_identity,X0,X0))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f1])).
% 148.82/19.30 fof(f29,plain,(
% 148.82/19.30 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f3])).
% 148.82/19.30 fof(f30,plain,(
% 148.82/19.30 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f4])).
% 148.82/19.30 fof(f31,plain,(
% 148.82/19.30 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f5])).
% 148.82/19.30 fof(f32,plain,(
% 148.82/19.30 ![X0]: (sum(X0,additive_inverse(X0),additive_identity))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f6])).
% 148.82/19.30 fof(f33,plain,(
% 148.82/19.30 ![X,V,W]: ((![U,Z]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(U,Z,W)))|sum(X,V,W))),
% 148.82/19.30 inference(miniscoping,[status(thm)],[f7])).
% 148.82/19.30 fof(f34,plain,(
% 148.82/19.30 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X2,X3,X5)|sum(X0,X4,X5))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f33])).
% 148.82/19.30 fof(f37,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f9])).
% 148.82/19.30 fof(f42,plain,(
% 148.82/19.30 ![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))),
% 148.82/19.30 inference(miniscoping,[status(thm)],[f12])).
% 148.82/19.30 fof(f43,plain,(
% 148.82/19.30 ![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))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f42])).
% 148.82/19.30 fof(f44,plain,(
% 148.82/19.30 ![X,V3,V4]: ((![V1,V2]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~sum(V1,V2,V4)))|product(X,V3,V4))),
% 148.82/19.30 inference(miniscoping,[status(thm)],[f13])).
% 148.82/19.30 fof(f45,plain,(
% 148.82/19.30 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~sum(X2,X4,X6)|product(X0,X5,X6))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f44])).
% 148.82/19.30 fof(f46,plain,(
% 148.82/19.30 ![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))),
% 148.82/19.30 inference(miniscoping,[status(thm)],[f14])).
% 148.82/19.30 fof(f47,plain,(
% 148.82/19.30 ![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))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f46])).
% 148.82/19.30 fof(f50,plain,(
% 148.82/19.30 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 148.82/19.30 inference(miniscoping,[status(thm)],[f16])).
% 148.82/19.30 fof(f51,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f50])).
% 148.82/19.30 fof(f52,plain,(
% 148.82/19.30 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 148.82/19.30 inference(miniscoping,[status(thm)],[f17])).
% 148.82/19.30 fof(f53,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f52])).
% 148.82/19.30 fof(f55,plain,(
% 148.82/19.30 ![X0]: (sum(additive_inverse(additive_inverse(X0)),additive_identity,X0))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f19])).
% 148.82/19.30 fof(f57,plain,(
% 148.82/19.30 ![X0]: (product(additive_identity,X0,additive_identity))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f21])).
% 148.82/19.30 fof(f58,plain,(
% 148.82/19.30 ![X0,X1]: (sum(additive_inverse(X0),additive_inverse(X1),additive_inverse(add(X0,X1))))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f22])).
% 148.82/19.30 fof(f59,plain,(
% 148.82/19.30 ![X0,X1]: (product(X0,additive_inverse(X1),additive_inverse(multiply(X0,X1))))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f23])).
% 148.82/19.30 fof(f60,plain,(
% 148.82/19.30 ![X0]: (product(X0,X0,X0))),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f24])).
% 148.82/19.30 fof(f61,plain,(
% 148.82/19.30 product(a,b,c)),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f25])).
% 148.82/19.30 fof(f62,plain,(
% 148.82/19.30 ~product(b,a,c)),
% 148.82/19.30 inference(cnf_transformation,[status(thm)],[f26])).
% 148.82/19.30 fof(f65,plain,(
% 148.82/19.30 ![X0]: (~product(a,b,X0)|c=X0)),
% 148.82/19.30 inference(resolution,[status(thm)],[f53,f61])).
% 148.82/19.30 fof(f66,plain,(
% 148.82/19.30 ![X0,X1]: (~product(X0,X0,X1)|X0=X1)),
% 148.82/19.30 inference(resolution,[status(thm)],[f53,f60])).
% 148.82/19.30 fof(f83,plain,(
% 148.82/19.30 c=multiply(a,b)),
% 148.82/19.30 inference(resolution,[status(thm)],[f29,f65])).
% 148.82/19.30 fof(f86,plain,(
% 148.82/19.30 ![X0]: (X0=multiply(X0,X0))),
% 148.82/19.30 inference(resolution,[status(thm)],[f29,f66])).
% 148.82/19.30 fof(f87,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,X1,X2)|multiply(X0,X1)=X2)),
% 148.82/19.30 inference(resolution,[status(thm)],[f29,f53])).
% 148.82/19.30 fof(f127,plain,(
% 148.82/19.30 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 148.82/19.30 inference(resolution,[status(thm)],[f37,f30])).
% 148.82/19.30 fof(f129,plain,(
% 148.82/19.30 ![X0]: (sum(additive_identity,additive_inverse(additive_inverse(X0)),X0))),
% 148.82/19.30 inference(resolution,[status(thm)],[f55,f37])).
% 148.82/19.30 fof(f134,plain,(
% 148.82/19.30 ![X0,X1]: (~sum(additive_identity,X0,X1)|X0=X1)),
% 148.82/19.30 inference(resolution,[status(thm)],[f51,f27])).
% 148.82/19.30 fof(f137,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X1,X0)=X2)),
% 148.82/19.30 inference(resolution,[status(thm)],[f51,f127])).
% 148.82/19.30 fof(f138,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X0,X1)=X2)),
% 148.82/19.30 inference(resolution,[status(thm)],[f51,f30])).
% 148.82/19.30 fof(f140,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(additive_identity,X1,X3)|sum(additive_inverse(X0),X2,X3))),
% 148.82/19.30 inference(resolution,[status(thm)],[f34,f31])).
% 148.82/19.30 fof(f146,plain,(
% 148.82/19.30 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(add(X3,X0),X1,X4)|sum(X3,X2,X4))),
% 148.82/19.30 inference(resolution,[status(thm)],[f34,f30])).
% 148.82/19.30 fof(f159,plain,(
% 148.82/19.30 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~sum(X0,X1,X3)|~product(X0,X3,X4)|sum(X0,X2,X4))),
% 148.82/19.30 inference(resolution,[status(thm)],[f43,f60])).
% 148.82/19.30 fof(f241,plain,(
% 148.82/19.30 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 148.82/19.30 inference(resolution,[status(thm)],[f134,f129])).
% 148.82/19.30 fof(f245,plain,(
% 148.82/19.30 ![X0]: (X0=add(X0,additive_identity))),
% 148.82/19.30 inference(resolution,[status(thm)],[f134,f127])).
% 148.82/19.30 fof(f246,plain,(
% 148.82/19.30 ![X0]: (X0=add(additive_identity,X0))),
% 148.82/19.30 inference(resolution,[status(thm)],[f134,f30])).
% 148.82/19.30 fof(f272,plain,(
% 148.82/19.30 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~sum(X0,X1,X3)|~sum(X0,X2,X4)|product(X0,X3,X4))),
% 148.82/19.30 inference(resolution,[status(thm)],[f45,f60])).
% 148.82/19.30 fof(f279,plain,(
% 148.82/19.30 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~sum(X1,X0,X3)|~product(X3,X1,X4)|sum(X1,X2,X4))),
% 148.82/19.30 inference(resolution,[status(thm)],[f47,f60])).
% 148.82/19.30 fof(f374,plain,(
% 148.82/19.30 ![X0,X1]: (sum(additive_inverse(X0),additive_inverse(X1),additive_inverse(add(X1,X0))))),
% 148.82/19.30 inference(resolution,[status(thm)],[f58,f37])).
% 148.82/19.30 fof(f409,plain,(
% 148.82/19.30 ![X0,X1]: (multiply(X0,additive_inverse(X1))=additive_inverse(multiply(X0,X1)))),
% 148.82/19.30 inference(resolution,[status(thm)],[f59,f87])).
% 148.82/19.30 fof(f422,plain,(
% 148.82/19.30 ![X0]: (product(X0,additive_inverse(X0),additive_inverse(X0)))),
% 148.82/19.30 inference(paramodulation,[status(thm)],[f86,f59])).
% 148.82/19.30 fof(f458,plain,(
% 148.82/19.30 ![X0]: (product(additive_inverse(X0),X0,additive_inverse(additive_inverse(X0))))),
% 148.82/19.30 inference(paramodulation,[status(thm)],[f241,f422])).
% 148.82/19.30 fof(f467,plain,(
% 148.82/19.30 ![X0]: (product(additive_inverse(X0),X0,X0))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f241,f458])).
% 148.82/19.30 fof(f482,plain,(
% 148.82/19.30 ![X0]: (multiply(additive_inverse(X0),X0)=X0)),
% 148.82/19.30 inference(resolution,[status(thm)],[f467,f87])).
% 148.82/19.30 fof(f534,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(X0,additive_inverse(X1),X2)|~product(X0,X2,X3)|sum(X0,additive_inverse(multiply(X0,X1)),X3))),
% 148.82/19.30 inference(resolution,[status(thm)],[f159,f59])).
% 148.82/19.30 fof(f596,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(additive_identity,X0,X1)|sum(additive_inverse(X2),add(X0,X2),X1))),
% 148.82/19.30 inference(resolution,[status(thm)],[f140,f127])).
% 148.82/19.30 fof(f651,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,multiply(X0,X1),X3)|product(X0,X2,X3))),
% 148.82/19.30 inference(resolution,[status(thm)],[f272,f29])).
% 148.82/19.30 fof(f707,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~product(X2,X0,X3)|sum(X0,multiply(X1,X0),X3))),
% 148.82/19.30 inference(resolution,[status(thm)],[f279,f29])).
% 148.82/19.30 fof(f741,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(add(X0,additive_inverse(X1)),additive_inverse(X2),X3)|sum(X0,additive_inverse(add(X1,X2)),X3))),
% 148.82/19.30 inference(resolution,[status(thm)],[f146,f58])).
% 148.82/19.30 fof(f746,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(add(X0,X1),X2,X3)|sum(X0,add(X2,X1),X3))),
% 148.82/19.30 inference(resolution,[status(thm)],[f146,f127])).
% 148.82/19.30 fof(f3113,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(X0,additive_inverse(X1),X2)|~product(X0,X2,X3)|sum(X0,multiply(X0,additive_inverse(X1)),X3))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f409,f534])).
% 148.82/19.30 fof(f3114,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(additive_inverse(X0),additive_inverse(add(X1,X0)),X2)|sum(additive_inverse(X0),multiply(additive_inverse(X0),additive_inverse(X1)),X2))),
% 148.82/19.30 inference(resolution,[status(thm)],[f3113,f374])).
% 148.82/19.30 fof(f3115,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(additive_inverse(X0),additive_inverse(add(X0,X1)),X2)|sum(additive_inverse(X0),multiply(additive_inverse(X0),additive_inverse(X1)),X2))),
% 148.82/19.30 inference(resolution,[status(thm)],[f3113,f58])).
% 148.82/19.30 fof(f3811,plain,(
% 148.82/19.30 ![X0,X1]: (sum(additive_inverse(X0),add(X1,X0),X1))),
% 148.82/19.30 inference(resolution,[status(thm)],[f596,f27])).
% 148.82/19.30 fof(f4055,plain,(
% 148.82/19.30 ![X0,X1]: (add(additive_inverse(X0),add(X1,X0))=X1)),
% 148.82/19.30 inference(resolution,[status(thm)],[f3811,f138])).
% 148.82/19.30 fof(f4056,plain,(
% 148.82/19.30 ![X0,X1]: (add(add(X0,X1),additive_inverse(X1))=X0)),
% 148.82/19.30 inference(resolution,[status(thm)],[f3811,f137])).
% 148.82/19.30 fof(f4090,plain,(
% 148.82/19.30 ![X0,X1]: (add(X0,add(X1,additive_inverse(X0)))=X1)),
% 148.82/19.30 inference(paramodulation,[status(thm)],[f241,f4055])).
% 148.82/19.30 fof(f4143,plain,(
% 148.82/19.30 ![X0,X1]: (add(add(X0,additive_inverse(X1)),X1)=X0)),
% 148.82/19.30 inference(paramodulation,[status(thm)],[f241,f4056])).
% 148.82/19.30 fof(f4272,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(additive_inverse(X0),multiply(additive_inverse(X0),additive_inverse(X1)),X2)|product(additive_inverse(X0),additive_inverse(add(X0,X1)),X2))),
% 148.82/19.30 inference(resolution,[status(thm)],[f651,f58])).
% 148.82/19.30 fof(f4828,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(additive_inverse(add(X0,X1)),additive_inverse(X0),X2)|sum(additive_inverse(X0),multiply(additive_inverse(X1),additive_inverse(X0)),X2))),
% 148.82/19.30 inference(resolution,[status(thm)],[f707,f58])).
% 148.82/19.30 fof(f4835,plain,(
% 148.82/19.30 ![X0,X1]: (~product(additive_identity,X0,X1)|sum(X0,multiply(additive_inverse(X0),X0),X1))),
% 148.82/19.30 inference(resolution,[status(thm)],[f707,f32])).
% 148.82/19.30 fof(f4843,plain,(
% 148.82/19.30 ![X0,X1]: (~product(additive_identity,X0,X1)|sum(X0,X0,X1))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f482,f4835])).
% 148.82/19.30 fof(f5050,plain,(
% 148.82/19.30 ![X0]: (sum(X0,X0,additive_identity))),
% 148.82/19.30 inference(resolution,[status(thm)],[f4843,f57])).
% 148.82/19.30 fof(f5107,plain,(
% 148.82/19.30 ![X0]: (add(X0,X0)=additive_identity)),
% 148.82/19.30 inference(resolution,[status(thm)],[f5050,f138])).
% 148.82/19.30 fof(f5138,plain,(
% 148.82/19.30 ![X0]: (add(additive_identity,X0)=additive_inverse(X0))),
% 148.82/19.30 inference(paramodulation,[status(thm)],[f5107,f4143])).
% 148.82/19.30 fof(f5170,plain,(
% 148.82/19.30 ![X0]: (X0=additive_inverse(X0))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f246,f5138])).
% 148.82/19.30 fof(f5224,plain,(
% 148.82/19.30 ![X0,X1]: (add(X0,add(X1,X0))=X1)),
% 148.82/19.30 inference(backward_demodulation,[status(thm)],[f5170,f4090])).
% 148.82/19.30 fof(f5525,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(add(X0,X1),additive_inverse(X2),X3)|sum(X0,additive_inverse(add(X1,X2)),X3))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f741])).
% 148.82/19.30 fof(f5526,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(add(X0,X1),X2,X3)|sum(X0,additive_inverse(add(X1,X2)),X3))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f5525])).
% 148.82/19.30 fof(f5527,plain,(
% 148.82/19.30 ![X0,X1,X2,X3]: (~sum(add(X0,X1),X2,X3)|sum(X0,add(X1,X2),X3))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f5526])).
% 148.82/19.30 fof(f5533,plain,(
% 148.82/19.30 ![X0,X1,X2]: (sum(X0,add(X1,X2),add(X2,add(X0,X1))))),
% 148.82/19.30 inference(resolution,[status(thm)],[f5527,f127])).
% 148.82/19.30 fof(f5681,plain,(
% 148.82/19.30 ![X0,X1,X2]: (sum(X0,add(X1,X2),add(add(X0,X2),X1)))),
% 148.82/19.30 inference(resolution,[status(thm)],[f746,f30])).
% 148.82/19.30 fof(f8811,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,additive_inverse(add(X1,X0)),X2)|sum(additive_inverse(X0),multiply(additive_inverse(X0),additive_inverse(X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f3114])).
% 148.82/19.30 fof(f8812,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,add(X1,X0),X2)|sum(additive_inverse(X0),multiply(additive_inverse(X0),additive_inverse(X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f8811])).
% 148.82/19.30 fof(f8813,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,add(X1,X0),X2)|sum(X0,multiply(additive_inverse(X0),additive_inverse(X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f8812])).
% 148.82/19.30 fof(f8814,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,add(X1,X0),X2)|sum(X0,multiply(X0,additive_inverse(X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f8813])).
% 148.82/19.30 fof(f8815,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,add(X1,X0),X2)|sum(X0,multiply(X0,X1),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f8814])).
% 148.82/19.30 fof(f8820,plain,(
% 148.82/19.30 ![X0,X1]: (sum(X0,multiply(X0,X1),multiply(X0,add(X1,X0))))),
% 148.82/19.30 inference(resolution,[status(thm)],[f8815,f29])).
% 148.82/19.30 fof(f8837,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,additive_inverse(add(X0,X1)),X2)|sum(additive_inverse(X0),multiply(additive_inverse(X0),additive_inverse(X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f3115])).
% 148.82/19.30 fof(f8838,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,add(X0,X1),X2)|sum(additive_inverse(X0),multiply(additive_inverse(X0),additive_inverse(X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f8837])).
% 148.82/19.30 fof(f8839,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,add(X0,X1),X2)|sum(X0,multiply(additive_inverse(X0),additive_inverse(X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f8838])).
% 148.82/19.30 fof(f8840,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,add(X0,X1),X2)|sum(X0,multiply(X0,additive_inverse(X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f8839])).
% 148.82/19.30 fof(f8841,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(X0,add(X0,X1),X2)|sum(X0,multiply(X0,X1),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f8840])).
% 148.82/19.30 fof(f8846,plain,(
% 148.82/19.30 ![X0,X1]: (sum(X0,multiply(X0,X1),multiply(X0,add(X0,X1))))),
% 148.82/19.30 inference(resolution,[status(thm)],[f8841,f29])).
% 148.82/19.30 fof(f9404,plain,(
% 148.82/19.30 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X1,add(X2,X0)))),
% 148.82/19.30 inference(resolution,[status(thm)],[f5533,f137])).
% 148.82/19.30 fof(f10346,plain,(
% 148.82/19.30 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(add(X2,X1),X0))),
% 148.82/19.30 inference(resolution,[status(thm)],[f5681,f137])).
% 148.82/19.30 fof(f11892,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(X0,multiply(additive_inverse(X0),additive_inverse(X1)),X2)|product(additive_inverse(X0),additive_inverse(add(X0,X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f4272])).
% 148.82/19.30 fof(f11893,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(X0,multiply(X0,additive_inverse(X1)),X2)|product(additive_inverse(X0),additive_inverse(add(X0,X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f11892])).
% 148.82/19.30 fof(f11894,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(X0,multiply(X0,X1),X2)|product(additive_inverse(X0),additive_inverse(add(X0,X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f11893])).
% 148.82/19.30 fof(f11895,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(X0,multiply(X0,X1),X2)|product(X0,additive_inverse(add(X0,X1)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f11894])).
% 148.82/19.30 fof(f11896,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~sum(X0,multiply(X0,X1),X2)|product(X0,add(X0,X1),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f11895])).
% 148.82/19.30 fof(f12360,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(add(X0,X1),additive_inverse(X0),X2)|sum(additive_inverse(X0),multiply(additive_inverse(X1),additive_inverse(X0)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f4828])).
% 148.82/19.30 fof(f12361,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(add(X0,X1),X0,X2)|sum(additive_inverse(X0),multiply(additive_inverse(X1),additive_inverse(X0)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f12360])).
% 148.82/19.30 fof(f12362,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(add(X0,X1),X0,X2)|sum(X0,multiply(additive_inverse(X1),additive_inverse(X0)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f12361])).
% 148.82/19.30 fof(f12363,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(add(X0,X1),X0,X2)|sum(X0,multiply(X1,additive_inverse(X0)),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f12362])).
% 148.82/19.30 fof(f12364,plain,(
% 148.82/19.30 ![X0,X1,X2]: (~product(add(X0,X1),X0,X2)|sum(X0,multiply(X1,X0),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5170,f12363])).
% 148.82/19.30 fof(f12366,plain,(
% 148.82/19.30 ![X0,X1]: (sum(X0,multiply(X1,X0),multiply(add(X0,X1),X0)))),
% 148.82/19.30 inference(resolution,[status(thm)],[f12364,f29])).
% 148.82/19.30 fof(f15034,plain,(
% 148.82/19.30 ![X0,X1]: (product(X0,add(X0,X1),multiply(X0,add(X1,X0))))),
% 148.82/19.30 inference(resolution,[status(thm)],[f8820,f11896])).
% 148.82/19.30 fof(f15219,plain,(
% 148.82/19.30 ![X0,X1]: (add(X0,multiply(X0,X1))=multiply(X0,add(X0,X1)))),
% 148.82/19.30 inference(resolution,[status(thm)],[f8846,f138])).
% 148.82/19.30 fof(f26572,plain,(
% 148.82/19.30 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X1,X0),X2))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f9404,f10346])).
% 148.82/19.30 fof(f33556,plain,(
% 148.82/19.30 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(add(X0,X1),X0))),
% 148.82/19.30 inference(resolution,[status(thm)],[f12366,f138])).
% 148.82/19.30 fof(f41576,plain,(
% 148.82/19.30 ![X0,X1]: (multiply(X0,add(X0,X1))=multiply(X0,add(X1,X0)))),
% 148.82/19.30 inference(resolution,[status(thm)],[f15034,f87])).
% 148.82/19.30 fof(f68868,plain,(
% 148.82/19.30 ![X0,X1]: (add(add(X0,X1),multiply(X0,add(X1,X0)))=multiply(add(add(X0,X1),X0),add(X0,X1)))),
% 148.82/19.30 inference(paramodulation,[status(thm)],[f41576,f33556])).
% 148.82/19.30 fof(f69301,plain,(
% 148.82/19.30 ![X0,X1]: (add(X0,add(X1,multiply(X1,add(X0,X1))))=multiply(add(add(X1,X0),X1),add(X1,X0)))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f26572,f68868])).
% 148.82/19.30 fof(f69302,plain,(
% 148.82/19.30 ![X0,X1]: (add(X0,multiply(X1,add(X1,add(X0,X1))))=multiply(add(add(X1,X0),X1),add(X1,X0)))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f15219,f69301])).
% 148.82/19.30 fof(f69303,plain,(
% 148.82/19.30 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(add(add(X1,X0),X1),add(X1,X0)))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5224,f69302])).
% 148.82/19.30 fof(f69304,plain,(
% 148.82/19.30 ![X0,X1]: (multiply(add(X0,X1),X0)=multiply(add(add(X1,X0),X1),add(X1,X0)))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f33556,f69303])).
% 148.82/19.30 fof(f69305,plain,(
% 148.82/19.30 ![X0,X1]: (multiply(add(X0,X1),X0)=multiply(add(X0,add(X1,X1)),add(X1,X0)))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f26572,f69304])).
% 148.82/19.30 fof(f69306,plain,(
% 148.82/19.30 ![X0,X1]: (multiply(add(X0,X1),X0)=multiply(add(X0,additive_identity),add(X1,X0)))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f5107,f69305])).
% 148.82/19.30 fof(f69307,plain,(
% 148.82/19.30 ![X0,X1]: (multiply(add(X0,X1),X0)=multiply(X0,add(X1,X0)))),
% 148.82/19.30 inference(forward_demodulation,[status(thm)],[f245,f69306])).
% 148.82/19.30 fof(f75465,plain,(
% 148.82/19.30 ![X0,X1]: (multiply(X0,X1)=multiply(X1,add(add(X0,X1),X1)))),
% 13.86/19.33 inference(paramodulation,[status(thm)],[f5224,f69307])).
% 13.86/19.33 fof(f75788,plain,(
% 13.86/19.33 ![X0,X1]: (multiply(X0,X1)=multiply(X1,add(X1,add(X0,X1))))),
% 13.86/19.33 inference(forward_demodulation,[status(thm)],[f26572,f75465])).
% 13.86/19.33 fof(f75789,plain,(
% 13.86/19.33 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 13.86/19.33 inference(forward_demodulation,[status(thm)],[f5224,f75788])).
% 13.86/19.33 fof(f76487,plain,(
% 13.86/19.33 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 13.86/19.33 inference(paramodulation,[status(thm)],[f75789,f29])).
% 13.86/19.33 fof(f77811,plain,(
% 13.86/19.33 product(b,a,c)),
% 13.86/19.33 inference(paramodulation,[status(thm)],[f83,f76487])).
% 13.86/19.33 fof(f77908,plain,(
% 13.86/19.33 $false),
% 13.86/19.33 inference(forward_subsumption_resolution,[status(thm)],[f77811,f62])).
% 13.86/19.33 % SZS output end CNFRefutation for theBenchmark.p
% 13.86/19.35 % Elapsed time: 18.972511 seconds
% 13.86/19.35 % CPU time: 149.585151 seconds
% 13.86/19.35 % Total memory used: 208.304 MB
% 13.86/19.35 % Net memory used: 176.484 MB
%------------------------------------------------------------------------------