%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD011-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:22:17 PM UTC 2026
% Result : Unsatisfiable 174.46s 22.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD011-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 15:35:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 174.46/22.47 % Refutation found
% 174.46/22.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 174.46/22.47 % SZS output start CNFRefutation for theBenchmark
% 174.46/22.47 fof(f1,axiom,(
% 174.46/22.47 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 174.46/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.47 fof(f2,axiom,(
% 174.46/22.47 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 174.46/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.47 fof(f3,axiom,(
% 174.46/22.47 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 174.46/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.47 fof(f4,axiom,(
% 174.46/22.47 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 174.46/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.47 fof(f5,axiom,(
% 174.46/22.47 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 174.46/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.47 fof(f7,axiom,(
% 174.46/22.47 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 174.46/22.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f8,axiom,(
% 174.46/22.48 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f9,axiom,(
% 174.46/22.48 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f10,axiom,(
% 174.46/22.48 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f11,axiom,(
% 174.46/22.48 (![C,D,B,X,Y,A,Z]: (( sum(C,D,B)| ~ sum(X,Y,A)| ~ product(A,Z,B)| ~ product(X,Z,C)| ~ product(Y,Z,D) ) ))),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f12,axiom,(
% 174.46/22.48 (![A,Z,B,X,Y,C,D]: (( product(A,Z,B)| ~ sum(X,Y,A)| ~ product(X,Z,C)| ~ product(Y,Z,D)| ~ sum(C,D,B) ) ))),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f14,axiom,(
% 174.46/22.48 defined(additive_identity) ),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f15,axiom,(
% 174.46/22.48 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f17,axiom,(
% 174.46/22.48 defined(multiplicative_identity) ),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f18,axiom,(
% 174.46/22.48 (![X]: (( defined(multiplicative_inverse(X))| ~ defined(X)| sum(additive_identity,X,additive_identity) ) ))),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f26,axiom,(
% 174.46/22.48 ~ sum(additive_identity,additive_identity,multiplicative_identity) ),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f27,hypothesis,(
% 174.46/22.48 defined(a) ),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f28,negated_conjecture,(
% 174.46/22.48 ~ sum(additive_identity,a,additive_identity) ),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f29,negated_conjecture,(
% 174.46/22.48 ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a) ),
% 174.46/22.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 174.46/22.48 fof(f30,plain,(
% 174.46/22.48 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 174.46/22.48 inference(miniscoping,[status(thm)],[f1])).
% 174.46/22.48 fof(f31,plain,(
% 174.46/22.48 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f30])).
% 174.46/22.48 fof(f32,plain,(
% 174.46/22.48 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 174.46/22.48 inference(miniscoping,[status(thm)],[f2])).
% 174.46/22.48 fof(f33,plain,(
% 174.46/22.48 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f32])).
% 174.46/22.48 fof(f34,plain,(
% 174.46/22.48 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f3])).
% 174.46/22.48 fof(f35,plain,(
% 174.46/22.48 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f4])).
% 174.46/22.48 fof(f36,plain,(
% 174.46/22.48 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f5])).
% 174.46/22.48 fof(f39,plain,(
% 174.46/22.48 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 174.46/22.48 inference(miniscoping,[status(thm)],[f7])).
% 174.46/22.48 fof(f40,plain,(
% 174.46/22.48 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f39])).
% 174.46/22.48 fof(f41,plain,(
% 174.46/22.48 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f8])).
% 174.46/22.48 fof(f42,plain,(
% 174.46/22.48 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f9])).
% 174.46/22.48 fof(f43,plain,(
% 174.46/22.48 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f10])).
% 174.46/22.48 fof(f44,plain,(
% 174.46/22.48 ![D,Y,Z]: ((![C,X]: ((![B,A]: ((sum(C,D,B)|~sum(X,Y,A))|~product(A,Z,B)))|~product(X,Z,C)))|~product(Y,Z,D))),
% 174.46/22.48 inference(miniscoping,[status(thm)],[f11])).
% 174.46/22.48 fof(f45,plain,(
% 174.46/22.48 ![X0,X1,X2,X3,X4,X5,X6]: (sum(X0,X1,X2)|~sum(X3,X4,X5)|~product(X5,X6,X2)|~product(X3,X6,X0)|~product(X4,X6,X1))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f44])).
% 174.46/22.48 fof(f46,plain,(
% 174.46/22.48 ![B,C,D]: ((![Z,Y]: ((![X]: ((![A]: (product(A,Z,B)|~sum(X,Y,A)))|~product(X,Z,C)))|~product(Y,Z,D)))|~sum(C,D,B))),
% 174.46/22.48 inference(miniscoping,[status(thm)],[f12])).
% 174.46/22.48 fof(f47,plain,(
% 174.46/22.48 ![X0,X1,X2,X3,X4,X5,X6]: (product(X0,X1,X2)|~sum(X3,X4,X0)|~product(X3,X1,X5)|~product(X4,X1,X6)|~sum(X5,X6,X2))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f46])).
% 174.46/22.48 fof(f50,plain,(
% 174.46/22.48 defined(additive_identity)),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f14])).
% 174.46/22.48 fof(f51,plain,(
% 174.46/22.48 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f15])).
% 174.46/22.48 fof(f54,plain,(
% 174.46/22.48 defined(multiplicative_identity)),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f17])).
% 174.46/22.48 fof(f55,plain,(
% 174.46/22.48 ![X0]: (defined(multiplicative_inverse(X0))|~defined(X0)|sum(additive_identity,X0,additive_identity))),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f18])).
% 174.46/22.48 fof(f68,plain,(
% 174.46/22.48 ~sum(additive_identity,additive_identity,multiplicative_identity)),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f26])).
% 174.46/22.48 fof(f69,plain,(
% 174.46/22.48 defined(a)),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f27])).
% 174.46/22.48 fof(f70,plain,(
% 174.46/22.48 ~sum(additive_identity,a,additive_identity)),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f28])).
% 174.46/22.48 fof(f71,plain,(
% 174.46/22.48 ~product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a)),
% 174.46/22.48 inference(cnf_transformation,[status(thm)],[f29])).
% 174.46/22.48 fof(f75,plain,(
% 174.46/22.48 sum(additive_identity,multiplicative_identity,multiplicative_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f34,f54])).
% 174.46/22.48 fof(f76,plain,(
% 174.46/22.48 sum(additive_identity,additive_identity,additive_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f34,f50])).
% 174.46/22.48 fof(f77,plain,(
% 174.46/22.48 ![X0]: (~defined(X0)|sum(additive_identity,additive_inverse(X0),additive_inverse(X0)))),
% 174.46/22.48 inference(resolution,[status(thm)],[f51,f34])).
% 174.46/22.48 fof(f97,plain,(
% 174.46/22.48 ![X0,X1,X2]: (sum(X0,additive_identity,X1)|~sum(X2,additive_identity,X0)|~sum(X2,additive_identity,X1))),
% 174.46/22.48 inference(resolution,[status(thm)],[f76,f33])).
% 174.46/22.48 fof(f103,plain,(
% 174.46/22.48 sum(multiplicative_identity,additive_identity,multiplicative_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f36,f75])).
% 174.46/22.48 fof(f106,plain,(
% 174.46/22.48 sum(additive_inverse(a),a,additive_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f35,f69])).
% 174.46/22.48 fof(f107,plain,(
% 174.46/22.48 sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f35,f54])).
% 174.46/22.48 fof(f116,plain,(
% 174.46/22.48 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X3,multiplicative_identity,X0)|~product(X3,X1,X2)|~defined(X1))),
% 174.46/22.48 inference(resolution,[status(thm)],[f40,f41])).
% 174.46/22.48 fof(f123,plain,(
% 174.46/22.48 ![X0,X1,X2]: (sum(X0,X1,multiplicative_identity)|~sum(X0,X2,multiplicative_identity)|~sum(X2,additive_identity,X1))),
% 174.46/22.48 inference(resolution,[status(thm)],[f103,f31])).
% 174.46/22.48 fof(f134,plain,(
% 174.46/22.48 product(multiplicative_inverse(a),a,multiplicative_identity)|sum(additive_identity,a,additive_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f42,f69])).
% 174.46/22.48 fof(f137,plain,(
% 174.46/22.48 product(multiplicative_inverse(a),a,multiplicative_identity)),
% 174.46/22.48 inference(forward_subsumption_resolution,[status(thm)],[f134,f70])).
% 174.46/22.48 fof(f138,plain,(
% 174.46/22.48 ![X0]: (product(X0,multiplicative_identity,X0)|~defined(X0))),
% 174.46/22.48 inference(resolution,[status(thm)],[f43,f41])).
% 174.46/22.48 fof(f139,plain,(
% 174.46/22.48 ![X0]: (product(additive_inverse(X0),multiplicative_identity,additive_inverse(X0))|~defined(X0))),
% 174.46/22.48 inference(resolution,[status(thm)],[f138,f51])).
% 174.46/22.48 fof(f140,plain,(
% 174.46/22.48 product(a,multiplicative_identity,a)),
% 174.46/22.48 inference(resolution,[status(thm)],[f138,f69])).
% 174.46/22.48 fof(f143,plain,(
% 174.46/22.48 product(multiplicative_identity,a,a)),
% 174.46/22.48 inference(resolution,[status(thm)],[f140,f43])).
% 174.46/22.48 fof(f144,plain,(
% 174.46/22.48 ![X0,X1,X2]: (product(X0,X1,a)|~product(a,X2,X0)|~product(X2,X1,multiplicative_identity))),
% 174.46/22.48 inference(resolution,[status(thm)],[f140,f40])).
% 174.46/22.48 fof(f165,plain,(
% 174.46/22.48 ![X0,X1,X2,X3,X4]: (sum(X0,X1,X2)|~sum(X3,X4,multiplicative_identity)|~product(X3,X2,X0)|~product(X4,X2,X1)|~defined(X2))),
% 174.46/22.48 inference(resolution,[status(thm)],[f45,f41])).
% 174.46/22.48 fof(f168,plain,(
% 174.46/22.48 ![X0,X1,X2,X3,X4]: (product(X0,X1,X2)|~sum(X3,multiplicative_identity,X0)|~product(X3,X1,X4)|~sum(X4,X1,X2)|~defined(X1))),
% 174.46/22.48 inference(resolution,[status(thm)],[f47,f41])).
% 174.46/22.48 fof(f204,plain,(
% 174.46/22.48 sum(a,additive_inverse(a),additive_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f106,f36])).
% 174.46/22.48 fof(f213,plain,(
% 174.46/22.48 ![X0,X1,X2]: (sum(X0,multiplicative_identity,X1)|~sum(X2,additive_inverse(multiplicative_identity),X0)|~sum(X2,additive_identity,X1))),
% 174.46/22.48 inference(resolution,[status(thm)],[f107,f33])).
% 174.46/22.48 fof(f235,plain,(
% 174.46/22.48 defined(multiplicative_inverse(a))|~defined(a)),
% 174.46/22.48 inference(resolution,[status(thm)],[f55,f70])).
% 174.46/22.48 fof(f245,plain,(
% 174.46/22.48 defined(multiplicative_inverse(a))),
% 174.46/22.48 inference(forward_subsumption_resolution,[status(thm)],[f235,f69])).
% 174.46/22.48 fof(f249,plain,(
% 174.46/22.48 product(multiplicative_inverse(multiplicative_inverse(a)),multiplicative_inverse(a),multiplicative_identity)|sum(additive_identity,multiplicative_inverse(a),additive_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f245,f42])).
% 174.46/22.48 fof(f251,plain,(
% 174.46/22.48 sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))),
% 174.46/22.48 inference(resolution,[status(thm)],[f245,f34])).
% 174.46/22.48 fof(f254,plain,(
% 174.46/22.48 product(a,multiplicative_inverse(a),multiplicative_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f137,f43])).
% 174.46/22.48 fof(f276,plain,(
% 174.46/22.48 ![X0]: (sum(X0,additive_identity,additive_identity)|~sum(X0,a,a))),
% 174.46/22.48 inference(resolution,[status(thm)],[f204,f31])).
% 174.46/22.48 fof(f314,plain,(
% 174.46/22.48 sum(multiplicative_inverse(a),additive_identity,multiplicative_inverse(a))),
% 174.46/22.48 inference(resolution,[status(thm)],[f251,f36])).
% 174.46/22.48 fof(f375,plain,(
% 174.46/22.48 sum(additive_identity,multiplicative_inverse(a),additive_identity)|product(multiplicative_inverse(a),multiplicative_inverse(multiplicative_inverse(a)),multiplicative_identity)),
% 174.46/22.48 inference(resolution,[status(thm)],[f249,f43])).
% 174.46/22.48 fof(f399,plain,(
% 174.46/22.48 product(additive_inverse(multiplicative_identity),multiplicative_identity,additive_inverse(multiplicative_identity))),
% 174.46/22.48 inference(resolution,[status(thm)],[f139,f54])).
% 174.46/22.48 fof(f618,plain,(
% 174.46/22.48 ![X0,X1,X2]: (product(X0,a,X1)|~product(X2,multiplicative_identity,X0)|~product(X2,a,X1))),
% 174.46/22.48 inference(resolution,[status(thm)],[f116,f69])).
% 174.46/22.48 fof(f751,plain,(
% 174.46/22.48 ![X0,X1,X2]: (sum(X0,X1,X2)|~product(additive_identity,X2,X0)|~product(multiplicative_identity,X2,X1)|~defined(X2))),
% 174.46/22.48 inference(resolution,[status(thm)],[f165,f75])).
% 174.46/22.48 fof(f815,plain,(
% 174.46/22.48 ![X0,X1,X2,X3]: (product(X0,multiplicative_identity,X1)|~sum(X2,multiplicative_identity,X0)|~product(X2,multiplicative_identity,X3)|~sum(X3,multiplicative_identity,X1))),
% 174.46/22.48 inference(resolution,[status(thm)],[f168,f54])).
% 174.46/22.48 fof(f1669,plain,(
% 174.46/22.48 ![X0]: (sum(X0,additive_identity,multiplicative_inverse(a))|~sum(multiplicative_inverse(a),additive_identity,X0))),
% 174.46/22.48 inference(resolution,[status(thm)],[f97,f314])).
% 174.46/22.48 fof(f2043,plain,(
% 174.46/22.48 ![X0]: (sum(additive_inverse(multiplicative_identity),multiplicative_identity,X0)|~sum(additive_identity,additive_identity,X0)|~defined(multiplicative_identity))),
% 174.46/22.48 inference(resolution,[status(thm)],[f213,f77])).
% 174.46/22.48 fof(f2046,plain,(
% 174.46/22.48 ![X0]: (sum(additive_inverse(multiplicative_identity),multiplicative_identity,X0)|~sum(additive_identity,additive_identity,X0))),
% 140.85/22.56 inference(forward_subsumption_resolution,[status(thm)],[f2043,f54])).
% 140.85/22.56 fof(f3514,plain,(
% 140.85/22.56 ![X0]: (product(X0,a,multiplicative_identity)|~product(multiplicative_inverse(a),multiplicative_identity,X0))),
% 140.85/22.56 inference(resolution,[status(thm)],[f618,f137])).
% 140.85/22.56 fof(f4617,plain,(
% 140.85/22.56 ![X0,X1]: (sum(X0,X1,a)|~product(additive_identity,a,X0)|~product(multiplicative_identity,a,X1))),
% 140.85/22.56 inference(resolution,[status(thm)],[f751,f69])).
% 140.85/22.56 fof(f4950,plain,(
% 140.85/22.56 ![X0,X1]: (product(X0,multiplicative_identity,additive_identity)|~sum(X1,multiplicative_identity,X0)|~product(X1,multiplicative_identity,additive_inverse(multiplicative_identity)))),
% 140.85/22.56 inference(resolution,[status(thm)],[f815,f107])).
% 140.85/22.56 fof(f13754,plain,(
% 140.85/22.56 ![X0]: (sum(additive_identity,X0,multiplicative_identity)|~sum(multiplicative_identity,additive_identity,X0))),
% 140.85/22.56 inference(resolution,[status(thm)],[f123,f75])).
% 140.85/22.56 fof(f14152,plain,(
% 140.85/22.56 ![X0]: (product(multiplicative_identity,X0,a)|~product(multiplicative_inverse(a),X0,multiplicative_identity))),
% 140.85/22.56 inference(resolution,[status(thm)],[f144,f254])).
% 140.85/22.56 fof(f14317,plain,(
% 140.85/22.56 product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a)|sum(additive_identity,multiplicative_inverse(a),additive_identity)),
% 140.85/22.56 inference(resolution,[status(thm)],[f14152,f375])).
% 140.85/22.56 fof(f14321,plain,(
% 140.85/22.56 sum(additive_identity,multiplicative_inverse(a),additive_identity)),
% 140.85/22.56 inference(forward_subsumption_resolution,[status(thm)],[f14317,f71])).
% 140.85/22.56 fof(f14337,plain,(
% 140.85/22.56 sum(multiplicative_inverse(a),additive_identity,additive_identity)),
% 140.85/22.56 inference(resolution,[status(thm)],[f14321,f36])).
% 140.85/22.56 fof(f14391,plain,(
% 140.85/22.56 sum(additive_identity,additive_identity,multiplicative_inverse(a))),
% 140.85/22.56 inference(resolution,[status(thm)],[f14337,f1669])).
% 140.85/22.56 fof(f14472,plain,(
% 140.85/22.56 sum(additive_inverse(multiplicative_identity),multiplicative_identity,multiplicative_inverse(a))),
% 140.85/22.56 inference(resolution,[status(thm)],[f14391,f2046])).
% 140.85/22.56 fof(f42888,plain,(
% 140.85/22.56 ![X0]: (product(X0,multiplicative_identity,additive_identity)|~sum(additive_inverse(multiplicative_identity),multiplicative_identity,X0))),
% 140.85/22.56 inference(resolution,[status(thm)],[f4950,f399])).
% 140.85/22.56 fof(f42889,plain,(
% 140.85/22.56 product(multiplicative_inverse(a),multiplicative_identity,additive_identity)),
% 140.85/22.56 inference(resolution,[status(thm)],[f42888,f14472])).
% 140.85/22.56 fof(f42908,plain,(
% 140.85/22.56 product(additive_identity,a,multiplicative_identity)),
% 140.85/22.56 inference(resolution,[status(thm)],[f42889,f3514])).
% 140.85/22.56 fof(f42993,plain,(
% 140.85/22.56 ![X0]: (sum(multiplicative_identity,X0,a)|~product(multiplicative_identity,a,X0))),
% 140.85/22.56 inference(resolution,[status(thm)],[f42908,f4617])).
% 140.85/22.56 fof(f47293,plain,(
% 140.85/22.56 sum(multiplicative_identity,a,a)),
% 140.85/22.56 inference(resolution,[status(thm)],[f42993,f143])).
% 140.85/22.56 fof(f47318,plain,(
% 140.85/22.56 sum(multiplicative_identity,additive_identity,additive_identity)),
% 140.85/22.56 inference(resolution,[status(thm)],[f47293,f276])).
% 140.85/22.56 fof(f47448,plain,(
% 140.85/22.56 sum(additive_identity,additive_identity,multiplicative_identity)),
% 140.85/22.56 inference(resolution,[status(thm)],[f47318,f13754])).
% 140.85/22.56 fof(f47512,plain,(
% 140.85/22.56 $false),
% 140.85/22.56 inference(forward_subsumption_resolution,[status(thm)],[f47448,f68])).
% 140.85/22.56 % SZS output end CNFRefutation for theBenchmark.p
% 9.39/22.61 % Elapsed time: 22.221292 seconds
% 9.39/22.61 % CPU time: 175.590828 seconds
% 9.39/22.61 % Total memory used: 686.880 MB
% 9.39/22.61 % Net memory used: 652.880 MB
%------------------------------------------------------------------------------