%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG008-1 : 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 : n001.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 02:05:06 PM UTC 2026
% Result : Unsatisfiable 175.82s 22.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 04:15:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 175.82/22.69 % Refutation found
% 175.82/22.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 175.82/22.69 % SZS output start CNFRefutation for theBenchmark
% 175.82/22.69 fof(f1,axiom,(
% 175.82/22.69 (![X]: (sum(additive_identity,X,X) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f2,axiom,(
% 175.82/22.69 (![X]: (sum(X,additive_identity,X) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f3,axiom,(
% 175.82/22.69 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f4,axiom,(
% 175.82/22.69 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f5,axiom,(
% 175.82/22.69 (![X]: (sum(additive_inverse(X),X,additive_identity) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f6,axiom,(
% 175.82/22.69 (![X]: (sum(X,additive_inverse(X),additive_identity) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f7,axiom,(
% 175.82/22.69 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W)| sum(X,V,W) ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f8,axiom,(
% 175.82/22.69 (![X,Y,U,Z,V,W]: (( ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W)| sum(U,Z,W) ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f9,axiom,(
% 175.82/22.69 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f10,axiom,(
% 175.82/22.69 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f12,axiom,(
% 175.82/22.69 (![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) ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f13,axiom,(
% 175.82/22.69 (![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) ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f14,axiom,(
% 175.82/22.69 (![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) ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f16,axiom,(
% 175.82/22.69 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f17,axiom,(
% 175.82/22.69 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f18,hypothesis,(
% 175.82/22.69 (![X]: (product(X,X,X) ))),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f19,hypothesis,(
% 175.82/22.69 product(a,b,c) ),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f20,negated_conjecture,(
% 175.82/22.69 ~ product(b,a,c) ),
% 175.82/22.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 175.82/22.69 fof(f21,plain,(
% 175.82/22.69 ![X0]: (sum(additive_identity,X0,X0))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f1])).
% 175.82/22.69 fof(f22,plain,(
% 175.82/22.69 ![X0]: (sum(X0,additive_identity,X0))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f2])).
% 175.82/22.69 fof(f23,plain,(
% 175.82/22.69 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f3])).
% 175.82/22.69 fof(f24,plain,(
% 175.82/22.69 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f4])).
% 175.82/22.69 fof(f25,plain,(
% 175.82/22.69 ![X0]: (sum(additive_inverse(X0),X0,additive_identity))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f5])).
% 175.82/22.69 fof(f26,plain,(
% 175.82/22.69 ![X0]: (sum(X0,additive_inverse(X0),additive_identity))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f6])).
% 175.82/22.69 fof(f27,plain,(
% 175.82/22.69 ![X,V,W]: ((![U,Z]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(U,Z,W)))|sum(X,V,W))),
% 175.82/22.69 inference(miniscoping,[status(thm)],[f7])).
% 175.82/22.69 fof(f28,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X2,X3,X5)|sum(X0,X4,X5))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f27])).
% 175.82/22.69 fof(f29,plain,(
% 175.82/22.69 ![U,Z,W]: ((![X,V]: ((![Y]: (~sum(X,Y,U)|~sum(Y,Z,V)))|~sum(X,V,W)))|sum(U,Z,W))),
% 175.82/22.69 inference(miniscoping,[status(thm)],[f8])).
% 175.82/22.69 fof(f30,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X0,X4,X5)|sum(X2,X3,X5))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f29])).
% 175.82/22.69 fof(f31,plain,(
% 175.82/22.69 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f9])).
% 175.82/22.69 fof(f32,plain,(
% 175.82/22.69 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 175.82/22.69 inference(miniscoping,[status(thm)],[f10])).
% 175.82/22.69 fof(f33,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f32])).
% 175.82/22.69 fof(f36,plain,(
% 175.82/22.69 ![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))),
% 175.82/22.69 inference(miniscoping,[status(thm)],[f12])).
% 175.82/22.69 fof(f37,plain,(
% 175.82/22.69 ![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))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f36])).
% 175.82/22.69 fof(f38,plain,(
% 175.82/22.69 ![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))),
% 175.82/22.69 inference(miniscoping,[status(thm)],[f13])).
% 175.82/22.69 fof(f39,plain,(
% 175.82/22.69 ![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))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f38])).
% 175.82/22.69 fof(f40,plain,(
% 175.82/22.69 ![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))),
% 175.82/22.69 inference(miniscoping,[status(thm)],[f14])).
% 175.82/22.69 fof(f41,plain,(
% 175.82/22.69 ![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))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f40])).
% 175.82/22.69 fof(f44,plain,(
% 175.82/22.69 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 175.82/22.69 inference(miniscoping,[status(thm)],[f16])).
% 175.82/22.69 fof(f45,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f44])).
% 175.82/22.69 fof(f46,plain,(
% 175.82/22.69 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 175.82/22.69 inference(miniscoping,[status(thm)],[f17])).
% 175.82/22.69 fof(f47,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f46])).
% 175.82/22.69 fof(f48,plain,(
% 175.82/22.69 ![X0]: (product(X0,X0,X0))),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f18])).
% 175.82/22.69 fof(f49,plain,(
% 175.82/22.69 product(a,b,c)),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f19])).
% 175.82/22.69 fof(f50,plain,(
% 175.82/22.69 ~product(b,a,c)),
% 175.82/22.69 inference(cnf_transformation,[status(thm)],[f20])).
% 175.82/22.69 fof(f53,plain,(
% 175.82/22.69 ![X0]: (~product(a,b,X0)|c=X0)),
% 175.82/22.69 inference(resolution,[status(thm)],[f47,f49])).
% 175.82/22.69 fof(f54,plain,(
% 175.82/22.69 ![X0,X1]: (~product(X0,X0,X1)|X0=X1)),
% 175.82/22.69 inference(resolution,[status(thm)],[f47,f48])).
% 175.82/22.69 fof(f61,plain,(
% 175.82/22.69 c=multiply(a,b)),
% 175.82/22.69 inference(resolution,[status(thm)],[f23,f53])).
% 175.82/22.69 fof(f64,plain,(
% 175.82/22.69 ![X0]: (X0=multiply(X0,X0))),
% 175.82/22.69 inference(resolution,[status(thm)],[f23,f54])).
% 175.82/22.69 fof(f66,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(multiply(X3,X0),X1,X4)|product(X3,X2,X4))),
% 175.82/22.69 inference(resolution,[status(thm)],[f23,f33])).
% 175.82/22.69 fof(f68,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(additive_identity,X1,X3)|sum(additive_inverse(X0),X2,X3))),
% 175.82/22.69 inference(resolution,[status(thm)],[f28,f25])).
% 175.82/22.69 fof(f72,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(add(X3,X0),X1,X4)|sum(X3,X2,X4))),
% 175.82/22.69 inference(resolution,[status(thm)],[f28,f24])).
% 175.82/22.69 fof(f77,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(X3,X2,X4)|sum(add(X3,X0),X1,X4))),
% 175.82/22.69 inference(resolution,[status(thm)],[f30,f24])).
% 175.82/22.69 fof(f108,plain,(
% 175.82/22.69 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 175.82/22.69 inference(resolution,[status(thm)],[f31,f24])).
% 175.82/22.69 fof(f111,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4]: (~sum(X0,X1,X2)|~sum(add(X0,X3),X1,X4)|sum(X3,X2,X4))),
% 175.82/22.69 inference(resolution,[status(thm)],[f108,f28])).
% 175.82/22.69 fof(f143,plain,(
% 175.82/22.69 ![X0,X1]: (~sum(additive_inverse(X0),X0,X1)|additive_identity=X1)),
% 175.82/22.69 inference(resolution,[status(thm)],[f45,f25])).
% 175.82/22.69 fof(f144,plain,(
% 175.82/22.69 ![X0,X1]: (~sum(additive_identity,X0,X1)|X0=X1)),
% 175.82/22.69 inference(resolution,[status(thm)],[f45,f21])).
% 175.82/22.69 fof(f146,plain,(
% 175.82/22.69 ![X0,X1]: (~sum(X0,additive_identity,X1)|X0=X1)),
% 175.82/22.69 inference(resolution,[status(thm)],[f45,f22])).
% 175.82/22.69 fof(f147,plain,(
% 175.82/22.69 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X1,X0)=X2)),
% 175.82/22.69 inference(resolution,[status(thm)],[f45,f108])).
% 175.82/22.69 fof(f148,plain,(
% 175.82/22.69 ![X0,X1,X2]: (~sum(X0,X1,X2)|add(X0,X1)=X2)),
% 175.82/22.69 inference(resolution,[status(thm)],[f45,f24])).
% 175.82/22.69 fof(f153,plain,(
% 175.82/22.69 ![X0]: (X0=add(additive_identity,X0))),
% 175.82/22.69 inference(resolution,[status(thm)],[f144,f24])).
% 175.82/22.69 fof(f158,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~sum(X0,X1,X3)|~product(X0,X3,X4)|sum(X0,X2,X4))),
% 175.82/22.69 inference(resolution,[status(thm)],[f37,f48])).
% 175.82/22.69 fof(f162,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~sum(X3,X1,X4)|~sum(multiply(X0,X3),X2,X5)|product(X0,X4,X5))),
% 175.82/22.69 inference(resolution,[status(thm)],[f39,f23])).
% 175.82/22.69 fof(f168,plain,(
% 175.82/22.69 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~sum(X1,X0,X3)|~product(X3,X1,X4)|sum(X1,X2,X4))),
% 175.82/22.69 inference(resolution,[status(thm)],[f41,f48])).
% 175.82/22.69 fof(f227,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~product(multiply(X0,X1),X2,X3)|product(X0,multiply(X1,X2),X3))),
% 175.82/22.69 inference(resolution,[status(thm)],[f66,f23])).
% 175.82/22.69 fof(f249,plain,(
% 175.82/22.69 ![X0]: (additive_identity=add(X0,additive_inverse(X0)))),
% 175.82/22.69 inference(resolution,[status(thm)],[f143,f108])).
% 175.82/22.69 fof(f263,plain,(
% 175.82/22.69 ![X0,X1]: (~sum(additive_identity,X0,X1)|sum(additive_inverse(additive_inverse(X0)),additive_identity,X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f68,f25])).
% 175.82/22.69 fof(f267,plain,(
% 175.82/22.69 ![X0,X1,X2]: (~sum(additive_identity,X0,X1)|sum(additive_inverse(X2),add(X0,X2),X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f68,f108])).
% 175.82/22.69 fof(f268,plain,(
% 175.82/22.69 ![X0,X1,X2]: (~sum(additive_identity,X0,X1)|sum(additive_inverse(X2),add(X2,X0),X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f68,f24])).
% 175.82/22.69 fof(f316,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~product(X0,X2,X3)|sum(X0,multiply(X0,X1),X3))),
% 175.82/22.69 inference(resolution,[status(thm)],[f158,f23])).
% 175.82/22.69 fof(f436,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~sum(add(X0,X1),X2,X3)|sum(X0,add(X1,X2),X3))),
% 175.82/22.69 inference(resolution,[status(thm)],[f72,f24])).
% 175.82/22.69 fof(f460,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~product(X2,X0,X3)|sum(X0,multiply(X1,X0),X3))),
% 175.82/22.69 inference(resolution,[status(thm)],[f168,f23])).
% 175.82/22.69 fof(f654,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~sum(X0,add(X1,X2),X3)|sum(add(X0,X2),X1,X3))),
% 175.82/22.69 inference(resolution,[status(thm)],[f77,f108])).
% 175.82/22.69 fof(f846,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(multiply(X1,X0),X1,X3)|product(X1,X2,X3))),
% 175.82/22.69 inference(resolution,[status(thm)],[f162,f48])).
% 175.82/22.69 fof(f876,plain,(
% 175.82/22.69 ![X0,X1,X2]: (product(X0,multiply(X1,X2),multiply(multiply(X0,X1),X2)))),
% 175.82/22.69 inference(resolution,[status(thm)],[f227,f23])).
% 175.82/22.69 fof(f1036,plain,(
% 175.82/22.69 ![X0,X1,X2,X3]: (~sum(add(X0,X1),X2,X3)|sum(X1,add(X0,X2),X3))),
% 175.82/22.69 inference(resolution,[status(thm)],[f111,f24])).
% 175.82/22.69 fof(f1154,plain,(
% 175.82/22.69 ![X0,X1]: (~product(X0,additive_identity,X1)|sum(X0,multiply(X0,additive_inverse(X0)),X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f316,f26])).
% 175.82/22.69 fof(f1155,plain,(
% 175.82/22.69 ![X0,X1]: (~product(X0,X0,X1)|sum(X0,multiply(X0,additive_identity),X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f316,f22])).
% 175.82/22.69 fof(f1157,plain,(
% 175.82/22.69 ![X0,X1,X2]: (~product(X0,add(X0,X1),X2)|sum(X0,multiply(X0,X1),X2))),
% 175.82/22.69 inference(resolution,[status(thm)],[f316,f24])).
% 175.82/22.69 fof(f1214,plain,(
% 175.82/22.69 ![X0]: (sum(additive_inverse(additive_inverse(X0)),additive_identity,X0))),
% 175.82/22.69 inference(resolution,[status(thm)],[f263,f21])).
% 175.82/22.69 fof(f1227,plain,(
% 175.82/22.69 ![X0,X1]: (sum(additive_inverse(X0),add(X1,X0),X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f267,f21])).
% 175.82/22.69 fof(f1238,plain,(
% 175.82/22.69 ![X0,X1]: (sum(additive_inverse(X0),add(X0,X1),X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f268,f21])).
% 175.82/22.69 fof(f1460,plain,(
% 175.82/22.69 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 175.82/22.69 inference(resolution,[status(thm)],[f1214,f146])).
% 175.82/22.69 fof(f1632,plain,(
% 175.82/22.69 ![X0,X1]: (add(additive_inverse(X0),add(X1,X0))=X1)),
% 175.82/22.69 inference(resolution,[status(thm)],[f1227,f148])).
% 175.82/22.69 fof(f1666,plain,(
% 175.82/22.69 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=X1)),
% 175.82/22.69 inference(resolution,[status(thm)],[f1238,f148])).
% 175.82/22.69 fof(f1667,plain,(
% 175.82/22.69 ![X0,X1]: (add(add(X0,X1),additive_inverse(X0))=X1)),
% 175.82/22.69 inference(resolution,[status(thm)],[f1238,f147])).
% 175.82/22.69 fof(f1960,plain,(
% 175.82/22.69 ![X0]: (sum(X0,multiply(X0,additive_identity),multiply(X0,X0)))),
% 175.82/22.69 inference(resolution,[status(thm)],[f1155,f23])).
% 175.82/22.69 fof(f1963,plain,(
% 175.82/22.69 ![X0]: (sum(X0,multiply(X0,additive_identity),X0))),
% 175.82/22.69 inference(forward_demodulation,[status(thm)],[f64,f1960])).
% 175.82/22.69 fof(f1967,plain,(
% 175.82/22.69 ![X0,X1]: (~product(additive_identity,additive_inverse(X0),X1)|sum(additive_inverse(X0),multiply(X0,additive_inverse(X0)),X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f460,f25])).
% 175.82/22.69 fof(f1971,plain,(
% 175.82/22.69 ![X0,X1]: (~product(X0,X0,X1)|sum(X0,multiply(additive_identity,X0),X1))),
% 175.82/22.69 inference(resolution,[status(thm)],[f460,f22])).
% 175.82/22.69 fof(f1973,plain,(
% 175.82/22.69 ![X0,X1,X2]: (~product(add(X0,X1),X0,X2)|sum(X0,multiply(X1,X0),X2))),
% 175.82/22.69 inference(resolution,[status(thm)],[f460,f24])).
% 175.82/22.69 fof(f2002,plain,(
% 175.82/22.69 ![X0]: (add(X0,multiply(X0,additive_identity))=X0)),
% 175.82/22.69 inference(resolution,[status(thm)],[f1963,f148])).
% 175.82/22.69 fof(f2028,plain,(
% 175.82/22.69 ![X0]: (sum(additive_inverse(X0),X0,multiply(X0,additive_identity)))),
% 175.82/22.69 inference(paramodulation,[status(thm)],[f2002,f1238])).
% 175.82/22.69 fof(f2123,plain,(
% 175.82/22.69 ![X0,X1,X2]: (sum(X0,add(X1,X2),add(X2,add(X0,X1))))),
% 175.82/22.69 inference(resolution,[status(thm)],[f436,f108])).
% 175.82/22.69 fof(f2146,plain,(
% 175.82/22.69 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 175.82/22.69 inference(resolution,[status(thm)],[f2028,f143])).
% 175.82/22.69 fof(f2194,plain,(
% 175.82/22.69 ![X0,X1]: (product(X0,multiply(X1,additive_identity),additive_identity))),
% 175.82/22.69 inference(paramodulation,[status(thm)],[f2146,f876])).
% 175.82/22.69 fof(f2222,plain,(
% 175.82/22.69 ![X0]: (product(X0,additive_identity,additive_identity))),
% 175.82/22.69 inference(forward_demodulation,[status(thm)],[f2146,f2194])).
% 175.82/22.69 fof(f2341,plain,(
% 175.82/22.69 ![X0,X1]: (add(X0,add(X1,additive_inverse(X0)))=X1)),
% 175.82/22.69 inference(paramodulation,[status(thm)],[f1460,f1632])).
% 175.82/22.69 fof(f2596,plain,(
% 175.82/22.69 ![X0,X1]: (add(X0,add(additive_inverse(X0),X1))=X1)),
% 175.82/22.69 inference(paramodulation,[status(thm)],[f1460,f1666])).
% 175.82/22.69 fof(f2647,plain,(
% 175.82/22.69 ![X0,X1]: (add(add(additive_inverse(X0),X1),X0)=X1)),
% 175.82/22.69 inference(paramodulation,[status(thm)],[f1460,f1667])).
% 175.82/22.69 fof(f2763,plain,(
% 175.82/22.69 ![X0,X1,X2]: (sum(add(X0,X1),X2,add(add(X2,X1),X0)))),
% 175.82/22.69 inference(resolution,[status(thm)],[f654,f108])).
% 175.82/22.69 fof(f2784,plain,(
% 175.82/22.69 ![X0,X1,X2]: (~sum(multiply(add(X0,X1),additive_inverse(X0)),add(X0,X1),X2)|product(add(X0,X1),X1,X2))),
% 175.82/22.69 inference(resolution,[status(thm)],[f846,f1238])).
% 175.82/22.69 fof(f3989,plain,(
% 175.82/22.69 ![X0]: (sum(X0,multiply(X0,additive_inverse(X0)),additive_identity))),
% 175.82/22.69 inference(resolution,[status(thm)],[f1154,f2222])).
% 175.82/22.69 fof(f4079,plain,(
% 175.82/22.69 ![X0,X1,X2]: (sum(X0,add(X1,X2),add(X2,add(X1,X0))))),
% 175.82/22.69 inference(resolution,[status(thm)],[f1036,f108])).
% 175.82/22.69 fof(f4139,plain,(
% 175.82/22.69 ![X0]: (add(X0,multiply(X0,additive_inverse(X0)))=additive_identity)),
% 175.82/22.69 inference(resolution,[status(thm)],[f3989,f148])).
% 175.82/22.69 fof(f4219,plain,(
% 175.82/22.69 ![X0]: (add(additive_identity,additive_inverse(X0))=multiply(X0,additive_inverse(X0)))),
% 175.82/22.69 inference(paramodulation,[status(thm)],[f4139,f1667])).
% 175.82/22.69 fof(f4252,plain,(
% 175.82/22.69 ![X0]: (additive_inverse(X0)=multiply(X0,additive_inverse(X0)))),
% 175.82/22.69 inference(forward_demodulation,[status(thm)],[f153,f4219])).
% 175.82/22.69 fof(f4345,plain,(
% 175.82/22.69 ![X0,X1]: (sum(X0,multiply(X0,X1),multiply(X0,add(X0,X1))))),
% 175.82/22.69 inference(resolution,[status(thm)],[f1157,f23])).
% 175.82/22.69 fof(f4932,plain,(
% 175.82/22.69 ![X0,X1]: (~product(additive_identity,additive_inverse(X0),X1)|sum(additive_inverse(X0),additive_inverse(X0),X1))),
% 175.82/22.69 inference(forward_demodulation,[status(thm)],[f4252,f1967])).
% 175.82/22.69 fof(f4936,plain,(
% 175.82/22.69 ![X0,X1]: (~product(additive_identity,X0,X1)|sum(additive_inverse(additive_inverse(X0)),additive_inverse(additive_inverse(X0)),X1))),
% 175.82/22.69 inference(paramodulation,[status(thm)],[f1460,f4932])).
% 175.82/22.69 fof(f4941,plain,(
% 175.82/22.69 ![X0,X1]: (~product(additive_identity,X0,X1)|sum(X0,additive_inverse(additive_inverse(X0)),X1))),
% 175.82/22.69 inference(forward_demodulation,[status(thm)],[f1460,f4936])).
% 175.82/22.69 fof(f4942,plain,(
% 175.82/22.69 ![X0,X1]: (~product(additive_identity,X0,X1)|sum(X0,X0,X1))),
% 175.82/22.69 inference(forward_demodulation,[status(thm)],[f1460,f4941])).
% 175.82/22.69 fof(f4955,plain,(
% 175.82/22.69 ![X0]: (sum(X0,X0,multiply(additive_identity,X0)))),
% 175.82/22.69 inference(resolution,[status(thm)],[f4942,f23])).
% 175.82/22.69 fof(f5189,plain,(
% 175.82/22.69 ![X0]: (sum(X0,multiply(additive_identity,X0),multiply(X0,X0)))),
% 175.82/22.69 inference(resolution,[status(thm)],[f1971,f23])).
% 175.82/22.69 fof(f5197,plain,(
% 175.82/22.69 ![X0]: (sum(X0,multiply(additive_identity,X0),X0))),
% 175.82/22.69 inference(forward_demodulation,[status(thm)],[f64,f5189])).
% 175.82/22.69 fof(f5341,plain,(
% 175.82/22.69 ![X0,X1]: (sum(X0,multiply(X1,X0),multiply(add(X0,X1),X0)))),
% 175.82/22.69 inference(resolution,[status(thm)],[f1973,f23])).
% 19.71/22.76 fof(f5520,plain,(
% 19.71/22.76 ![X0]: (add(X0,X0)=multiply(additive_identity,X0))),
% 19.71/22.76 inference(resolution,[status(thm)],[f4955,f148])).
% 19.71/22.76 fof(f5629,plain,(
% 19.71/22.76 ![X0]: (add(X0,multiply(additive_identity,X0))=X0)),
% 19.71/22.76 inference(resolution,[status(thm)],[f5197,f148])).
% 19.71/22.76 fof(f6035,plain,(
% 19.71/22.76 ![X0]: (add(X0,additive_inverse(X0))=multiply(additive_identity,X0))),
% 19.71/22.76 inference(paramodulation,[status(thm)],[f5629,f1667])).
% 19.71/22.76 fof(f6064,plain,(
% 19.71/22.76 ![X0]: (additive_identity=multiply(additive_identity,X0))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f249,f6035])).
% 19.71/22.76 fof(f6069,plain,(
% 19.71/22.76 ![X0]: (add(X0,X0)=additive_identity)),
% 19.71/22.76 inference(backward_demodulation,[status(thm)],[f6064,f5520])).
% 19.71/22.76 fof(f6151,plain,(
% 19.71/22.76 ![X0]: (add(additive_identity,X0)=additive_inverse(X0))),
% 19.71/22.76 inference(paramodulation,[status(thm)],[f6069,f2647])).
% 19.71/22.76 fof(f6206,plain,(
% 19.71/22.76 ![X0]: (X0=additive_inverse(X0))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f153,f6151])).
% 19.71/22.76 fof(f6251,plain,(
% 19.71/22.76 ![X0,X1]: (add(X0,add(X0,X1))=X1)),
% 19.71/22.76 inference(backward_demodulation,[status(thm)],[f6206,f2596])).
% 19.71/22.76 fof(f6256,plain,(
% 19.71/22.76 ![X0,X1]: (add(X0,add(X1,X0))=X1)),
% 19.71/22.76 inference(backward_demodulation,[status(thm)],[f6206,f2341])).
% 19.71/22.76 fof(f7177,plain,(
% 19.71/22.76 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X1,add(X2,X0)))),
% 19.71/22.76 inference(resolution,[status(thm)],[f2123,f147])).
% 19.71/22.76 fof(f7743,plain,(
% 19.71/22.76 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(add(X2,X1),X0))),
% 19.71/22.76 inference(resolution,[status(thm)],[f2763,f148])).
% 19.71/22.76 fof(f12067,plain,(
% 19.71/22.76 ![X0,X1]: (add(X0,multiply(X0,X1))=multiply(X0,add(X0,X1)))),
% 19.71/22.76 inference(resolution,[status(thm)],[f4345,f148])).
% 19.71/22.76 fof(f15778,plain,(
% 19.71/22.76 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(add(X0,X1),X0))),
% 19.71/22.76 inference(resolution,[status(thm)],[f5341,f148])).
% 19.71/22.76 fof(f30921,plain,(
% 19.71/22.76 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X1,X0),X2))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f7177,f7743])).
% 19.71/22.76 fof(f60619,plain,(
% 19.71/22.76 ![X0,X1,X2]: (~sum(multiply(add(X0,X1),X0),add(X0,X1),X2)|product(add(X0,X1),X1,X2))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f6206,f2784])).
% 19.71/22.76 fof(f60623,plain,(
% 19.71/22.76 ![X0,X1]: (product(add(X0,X1),X1,add(X1,add(X0,multiply(add(X0,X1),X0)))))),
% 19.71/22.76 inference(resolution,[status(thm)],[f60619,f4079])).
% 19.71/22.76 fof(f60699,plain,(
% 19.71/22.76 ![X0,X1]: (product(add(X0,X1),X1,add(X1,multiply(add(X0,add(X0,X1)),X0))))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f15778,f60623])).
% 19.71/22.76 fof(f60700,plain,(
% 19.71/22.76 ![X0,X1]: (product(add(X0,X1),X1,add(X1,multiply(X1,X0))))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f6251,f60699])).
% 19.71/22.76 fof(f60701,plain,(
% 19.71/22.76 ![X0,X1]: (product(add(X0,X1),X1,multiply(X1,add(X1,X0))))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f12067,f60700])).
% 19.71/22.76 fof(f103459,plain,(
% 19.71/22.76 ![X0,X1]: (product(add(add(X0,X1),X1),X1,multiply(X1,X0)))),
% 19.71/22.76 inference(paramodulation,[status(thm)],[f6256,f60701])).
% 19.71/22.76 fof(f103628,plain,(
% 19.71/22.76 ![X0,X1]: (product(add(X0,add(X1,X0)),X0,multiply(X0,X1)))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f30921,f103459])).
% 19.71/22.76 fof(f103629,plain,(
% 19.71/22.76 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 19.71/22.76 inference(forward_demodulation,[status(thm)],[f6256,f103628])).
% 19.71/22.76 fof(f104254,plain,(
% 19.71/22.76 product(b,a,c)),
% 19.71/22.76 inference(paramodulation,[status(thm)],[f61,f103629])).
% 19.71/22.76 fof(f104337,plain,(
% 19.71/22.76 $false),
% 19.71/22.76 inference(forward_subsumption_resolution,[status(thm)],[f104254,f50])).
% 19.71/22.76 % SZS output end CNFRefutation for theBenchmark.p
% 19.71/22.77 % Elapsed time: 22.390335 seconds
% 19.71/22.77 % CPU time: 176.577632 seconds
% 19.71/22.77 % Total memory used: 231.034 MB
% 19.71/22.77 % Net memory used: 196.271 MB
%------------------------------------------------------------------------------