%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO015-2 : TPTP v9.3.1. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:06:46 PM UTC 2026
% Result : Unsatisfiable 13.37s 7.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO015-2 : TPTP v9.3.1. Bugfixed v1.0.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.40 % Computer : n001.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.12/5.40 % CPULimit : 300
% 0.12/5.40 % WCLimit : 300
% 0.12/5.40 % DateTime : Mon Sep 21 13:53:51 UTC 2026
% 0.12/5.41 % CPUTime :
% 0.12/5.42 % Drodi V4.1.1
% 13.37/7.37 % Refutation found
% 13.37/7.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.37/7.37 % SZS output start CNFRefutation for theBenchmark
% 13.37/7.37 fof(f1,axiom,(
% 13.37/7.37 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f2,axiom,(
% 13.37/7.37 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f3,axiom,(
% 13.37/7.37 (![X,Y,Z]: (add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f4,axiom,(
% 13.37/7.37 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f5,axiom,(
% 13.37/7.37 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f6,axiom,(
% 13.37/7.37 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f7,axiom,(
% 13.37/7.37 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f8,axiom,(
% 13.37/7.37 (![X]: (add(inverse(X),X) = multiplicative_identity ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f9,axiom,(
% 13.37/7.37 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f10,axiom,(
% 13.37/7.37 (![X]: (multiply(inverse(X),X) = additive_identity ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f11,axiom,(
% 13.37/7.37 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f12,axiom,(
% 13.37/7.37 (![X]: (multiply(multiplicative_identity,X) = X ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f13,axiom,(
% 13.37/7.37 (![X]: (add(X,additive_identity) = X ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f14,axiom,(
% 13.37/7.37 (![X]: (add(additive_identity,X) = X ))),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f15,hypothesis,(
% 13.37/7.37 multiply(a,b) = c ),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f16,hypothesis,(
% 13.37/7.37 add(inverse(a),inverse(b)) = d ),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f17,negated_conjecture,(
% 13.37/7.37 inverse(c) != d ),
% 13.37/7.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.37/7.37 fof(f18,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f1])).
% 13.37/7.37 fof(f19,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f2])).
% 13.37/7.37 fof(f20,plain,(
% 13.37/7.37 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X0,X2),add(X1,X2)))),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f3])).
% 13.37/7.37 fof(f21,plain,(
% 13.37/7.37 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f4])).
% 13.37/7.37 fof(f22,plain,(
% 13.37/7.37 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f5])).
% 13.37/7.37 fof(f23,plain,(
% 13.37/7.37 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f6])).
% 13.37/7.37 fof(f24,plain,(
% 13.37/7.37 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f7])).
% 13.37/7.37 fof(f25,plain,(
% 13.37/7.37 ![X0]: (add(inverse(X0),X0)=multiplicative_identity)),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f8])).
% 13.37/7.37 fof(f26,plain,(
% 13.37/7.37 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f9])).
% 13.37/7.37 fof(f27,plain,(
% 13.37/7.37 ![X0]: (multiply(inverse(X0),X0)=additive_identity)),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f10])).
% 13.37/7.37 fof(f28,plain,(
% 13.37/7.37 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f11])).
% 13.37/7.37 fof(f29,plain,(
% 13.37/7.37 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f12])).
% 13.37/7.37 fof(f30,plain,(
% 13.37/7.37 ![X0]: (add(X0,additive_identity)=X0)),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f13])).
% 13.37/7.37 fof(f31,plain,(
% 13.37/7.37 ![X0]: (add(additive_identity,X0)=X0)),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f14])).
% 13.37/7.37 fof(f32,plain,(
% 13.37/7.37 multiply(a,b)=c),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f15])).
% 13.37/7.37 fof(f33,plain,(
% 13.37/7.37 add(inverse(a),inverse(b))=d),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f16])).
% 13.37/7.37 fof(f34,plain,(
% 13.37/7.37 ~inverse(c)=d),
% 13.37/7.37 inference(cnf_transformation,[status(thm)],[f17])).
% 13.37/7.37 fof(f35,definition,(
% 13.37/7.37 sF0_fnc=inverse(c)),
% 13.37/7.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 13.37/7.37 fof(f36,plain,(
% 13.37/7.37 ~sF0_fnc=d),
% 13.37/7.37 inference(definition_folding,[],[f34,f35])).
% 13.37/7.37 fof(f54,plain,(
% 13.37/7.37 multiply(c,sF0_fnc)=additive_identity),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f35,f26])).
% 13.37/7.37 fof(f59,plain,(
% 13.37/7.37 multiply(sF0_fnc,c)=additive_identity),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f35,f27])).
% 13.37/7.37 fof(f63,plain,(
% 13.37/7.37 add(c,sF0_fnc)=multiplicative_identity),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f35,f24])).
% 13.37/7.37 fof(f73,plain,(
% 13.37/7.37 add(sF0_fnc,c)=multiplicative_identity),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f35,f25])).
% 13.37/7.37 fof(f104,plain,(
% 13.37/7.37 ![X0]: (add(multiply(c,X0),sF0_fnc)=multiply(multiplicative_identity,add(X0,sF0_fnc)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f63,f20])).
% 13.37/7.37 fof(f106,plain,(
% 13.37/7.37 ![X0]: (add(multiply(inverse(a),X0),inverse(b))=multiply(d,add(X0,inverse(b))))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f33,f20])).
% 13.37/7.37 fof(f107,plain,(
% 13.37/7.37 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=multiply(multiplicative_identity,add(X1,X0)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f25,f20])).
% 13.37/7.37 fof(f108,plain,(
% 13.37/7.37 ![X0,X1]: (add(multiply(X0,X1),inverse(X0))=multiply(multiplicative_identity,add(X1,inverse(X0))))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f24,f20])).
% 13.37/7.37 fof(f116,plain,(
% 13.37/7.37 ![X0,X1]: (add(multiply(X0,inverse(X1)),X1)=multiply(add(X0,X1),multiplicative_identity))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f25,f20])).
% 13.37/7.37 fof(f117,plain,(
% 13.37/7.37 ![X0,X1]: (add(multiply(X0,X1),inverse(X1))=multiply(add(X0,inverse(X1)),multiplicative_identity))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f24,f20])).
% 13.37/7.37 fof(f124,plain,(
% 13.37/7.37 ![X0]: (add(multiply(c,X0),sF0_fnc)=add(X0,sF0_fnc))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f29,f104])).
% 13.37/7.37 fof(f125,plain,(
% 13.37/7.37 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=add(X1,X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f29,f107])).
% 13.37/7.37 fof(f126,plain,(
% 13.37/7.37 ![X0,X1]: (add(multiply(X0,X1),inverse(X0))=add(X1,inverse(X0)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f29,f108])).
% 13.37/7.37 fof(f130,plain,(
% 13.37/7.37 ![X0,X1]: (add(multiply(X0,inverse(X1)),X1)=add(X0,X1))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f28,f116])).
% 13.37/7.37 fof(f131,plain,(
% 13.37/7.37 ![X0,X1]: (add(multiply(X0,X1),inverse(X1))=add(X0,inverse(X1)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f28,f117])).
% 13.37/7.37 fof(f134,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=add(X1,X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f18,f125])).
% 13.37/7.37 fof(f136,plain,(
% 13.37/7.37 ![X0]: (add(additive_identity,X0)=add(X0,X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f27,f125])).
% 13.37/7.37 fof(f137,plain,(
% 13.37/7.37 ![X0]: (add(additive_identity,X0)=add(inverse(inverse(X0)),X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f26,f125])).
% 13.37/7.37 fof(f138,plain,(
% 13.37/7.37 ![X0]: (add(inverse(X0),X0)=add(multiplicative_identity,X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f28,f125])).
% 13.37/7.37 fof(f151,plain,(
% 13.37/7.37 ![X0]: (X0=add(X0,X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f136])).
% 13.37/7.37 fof(f152,plain,(
% 13.37/7.37 ![X0]: (X0=add(inverse(inverse(X0)),X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f137])).
% 13.37/7.37 fof(f153,plain,(
% 13.37/7.37 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f25,f138])).
% 13.37/7.37 fof(f169,plain,(
% 13.37/7.37 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f18,f153])).
% 13.37/7.37 fof(f182,plain,(
% 13.37/7.37 ![X0]: (X0=add(X0,inverse(inverse(X0))))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f18,f152])).
% 13.37/7.37 fof(f186,plain,(
% 13.37/7.37 c=add(inverse(sF0_fnc),c)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f35,f152])).
% 13.37/7.37 fof(f197,plain,(
% 13.37/7.37 c=add(c,inverse(sF0_fnc))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f18,f186])).
% 13.37/7.37 fof(f246,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=add(X1,X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f19,f134])).
% 13.37/7.37 fof(f357,plain,(
% 13.37/7.37 add(additive_identity,inverse(sF0_fnc))=add(c,inverse(sF0_fnc))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f59,f126])).
% 13.37/7.37 fof(f358,plain,(
% 13.37/7.37 ![X0]: (add(additive_identity,inverse(inverse(X0)))=add(X0,inverse(inverse(X0))))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f27,f126])).
% 13.37/7.37 fof(f375,plain,(
% 13.37/7.37 inverse(sF0_fnc)=add(c,inverse(sF0_fnc))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f357])).
% 13.37/7.37 fof(f382,plain,(
% 13.37/7.37 inverse(sF0_fnc)=c),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f197,f375])).
% 13.37/7.37 fof(f383,plain,(
% 13.37/7.37 ![X0]: (inverse(inverse(X0))=add(X0,inverse(inverse(X0))))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f358])).
% 13.37/7.37 fof(f390,plain,(
% 13.37/7.37 ![X0]: (inverse(inverse(X0))=X0)),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f182,f383])).
% 13.37/7.37 fof(f410,plain,(
% 13.37/7.37 ![X0]: (add(sF0_fnc,multiply(X0,c))=add(X0,sF0_fnc))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f382,f246])).
% 13.37/7.37 fof(f467,plain,(
% 13.37/7.37 ![X0]: (add(inverse(a),multiply(inverse(b),X0))=multiply(d,add(inverse(a),X0)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f33,f21])).
% 13.37/7.37 fof(f495,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(add(X0,X1),X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f151,f21])).
% 13.37/7.37 fof(f544,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(inverse(X0),X1),X0)=add(additive_identity,multiply(X1,X0)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f27,f22])).
% 13.37/7.37 fof(f545,plain,(
% 13.37/7.37 ![X0]: (multiply(add(c,X0),sF0_fnc)=add(additive_identity,multiply(X0,sF0_fnc)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f54,f22])).
% 13.37/7.37 fof(f546,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(multiplicative_identity,X0),X1)=add(X1,multiply(X0,X1)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f29,f22])).
% 13.37/7.37 fof(f548,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(X0,X1),inverse(X0))=add(additive_identity,multiply(X1,inverse(X0))))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f26,f22])).
% 13.37/7.37 fof(f555,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(X0,inverse(X1)),X1)=add(multiply(X0,X1),additive_identity))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f27,f22])).
% 13.37/7.37 fof(f557,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(X0,multiplicative_identity),X1)=add(multiply(X0,X1),X1))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f29,f22])).
% 13.37/7.37 fof(f573,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(inverse(X0),X1),X0)=multiply(X1,X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f544])).
% 13.37/7.37 fof(f574,plain,(
% 13.37/7.37 ![X0]: (multiply(add(c,X0),sF0_fnc)=multiply(X0,sF0_fnc))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f545])).
% 13.37/7.37 fof(f575,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(multiplicative_identity,X0)=add(X0,multiply(X1,X0)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f153,f546])).
% 13.37/7.37 fof(f578,plain,(
% 13.37/7.37 ![X0,X1]: (X0=multiply(add(X0,X1),X0))),
% 13.37/7.37 inference(backward_demodulation,[status(thm)],[f579,f495])).
% 13.37/7.37 fof(f579,plain,(
% 13.37/7.37 ![X0,X1]: (X0=add(X0,multiply(X1,X0)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f29,f575])).
% 13.37/7.37 fof(f580,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(X0,X1),inverse(X0))=multiply(X1,inverse(X0)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f548])).
% 13.37/7.37 fof(f583,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(X0,inverse(X1)),X1)=multiply(X0,X1))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f30,f555])).
% 13.37/7.37 fof(f585,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(multiplicative_identity,X0)=add(multiply(X1,X0),X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f169,f557])).
% 13.37/7.37 fof(f587,plain,(
% 13.37/7.37 ![X0,X1]: (X0=add(multiply(X1,X0),X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f29,f585])).
% 13.37/7.37 fof(f606,plain,(
% 13.37/7.37 ![X0]: (multiply(a,add(b,X0))=add(c,multiply(a,X0)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f32,f23])).
% 13.37/7.37 fof(f608,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,add(multiplicative_identity,X1))=add(X0,multiply(X0,X1)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f28,f23])).
% 13.37/7.37 fof(f615,plain,(
% 13.37/7.37 ![X0]: (multiply(c,add(X0,sF0_fnc))=add(multiply(c,X0),additive_identity))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f54,f23])).
% 13.37/7.37 fof(f618,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,add(X1,inverse(X0)))=add(multiply(X0,X1),additive_identity))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f26,f23])).
% 13.37/7.37 fof(f638,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,multiplicative_identity)=add(X0,multiply(X0,X1)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f153,f608])).
% 13.37/7.37 fof(f642,plain,(
% 13.37/7.37 ![X0,X1]: (X0=add(X0,multiply(X0,X1)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f28,f638])).
% 13.37/7.37 fof(f645,plain,(
% 13.37/7.37 ![X0]: (multiply(c,add(X0,sF0_fnc))=multiply(c,X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f30,f615])).
% 13.37/7.37 fof(f647,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,add(X1,inverse(X0)))=multiply(X0,X1))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f30,f618])).
% 13.37/7.37 fof(f741,plain,(
% 13.37/7.37 ![X0]: (multiply(c,add(X0,sF0_fnc))=multiply(c,multiply(inverse(sF0_fnc),X0)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f125,f645])).
% 13.37/7.37 fof(f742,plain,(
% 13.37/7.37 ![X0]: (multiply(c,add(X0,sF0_fnc))=multiply(c,multiply(X0,inverse(sF0_fnc))))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f130,f645])).
% 13.37/7.37 fof(f743,plain,(
% 13.37/7.37 multiply(c,multiplicative_identity)=multiply(c,c)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f63,f645])).
% 13.37/7.37 fof(f755,plain,(
% 13.37/7.37 ![X0]: (multiply(c,X0)=multiply(c,multiply(inverse(sF0_fnc),X0)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f645,f741])).
% 13.37/7.37 fof(f756,plain,(
% 13.37/7.37 ![X0]: (multiply(c,X0)=multiply(c,multiply(c,X0)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f382,f755])).
% 13.37/7.37 fof(f757,plain,(
% 13.37/7.37 ![X0]: (multiply(c,X0)=multiply(c,multiply(X0,inverse(sF0_fnc))))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f645,f742])).
% 13.37/7.37 fof(f758,plain,(
% 13.37/7.37 ![X0]: (multiply(c,X0)=multiply(c,multiply(X0,c)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f382,f757])).
% 13.37/7.37 fof(f759,plain,(
% 13.37/7.37 c=multiply(c,c)),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f28,f743])).
% 13.37/7.37 fof(f847,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(X0,c),multiply(c,X1))=add(multiply(X0,multiply(c,X1)),multiply(c,X1)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f756,f22])).
% 13.37/7.37 fof(f858,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(X0,c),multiply(c,X1))=multiply(c,X1))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f587,f847])).
% 13.37/7.37 fof(f1124,plain,(
% 13.37/7.37 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f31,f579])).
% 13.37/7.37 fof(f1125,plain,(
% 13.37/7.37 inverse(a)=multiply(d,add(inverse(a),inverse(a)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f467,f579])).
% 13.37/7.37 fof(f1167,plain,(
% 13.37/7.37 inverse(a)=multiply(d,inverse(a))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f151,f1125])).
% 13.37/7.37 fof(f1192,plain,(
% 13.37/7.37 add(additive_identity,inverse(b))=multiply(d,add(additive_identity,inverse(b)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f1124,f106])).
% 13.37/7.37 fof(f1213,plain,(
% 13.37/7.37 inverse(b)=multiply(d,add(additive_identity,inverse(b)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f1192])).
% 13.37/7.37 fof(f1214,plain,(
% 13.37/7.37 inverse(b)=multiply(d,inverse(b))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f31,f1213])).
% 13.37/7.37 fof(f1337,plain,(
% 13.37/7.37 a=add(a,c)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f32,f642])).
% 13.37/7.37 fof(f2489,plain,(
% 13.37/7.37 ![X0]: (multiply(a,multiply(c,X0))=multiply(c,X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f1337,f858])).
% 13.37/7.37 fof(f2549,plain,(
% 13.37/7.37 multiply(a,c)=multiply(c,c)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f759,f2489])).
% 13.37/7.37 fof(f2572,plain,(
% 13.37/7.37 multiply(a,c)=c),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f759,f2549])).
% 13.37/7.37 fof(f2641,plain,(
% 13.37/7.37 multiply(c,a)=multiply(c,c)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f2572,f758])).
% 13.37/7.37 fof(f2642,plain,(
% 13.37/7.37 add(sF0_fnc,c)=add(a,sF0_fnc)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f2572,f410])).
% 13.37/7.37 fof(f2653,plain,(
% 13.37/7.37 multiply(c,a)=c),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f759,f2641])).
% 13.37/7.37 fof(f2654,plain,(
% 13.37/7.37 multiplicative_identity=add(a,sF0_fnc)),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f73,f2642])).
% 13.37/7.37 fof(f2685,plain,(
% 13.37/7.37 add(a,inverse(a))=add(d,a)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f1167,f246])).
% 13.37/7.37 fof(f2693,plain,(
% 13.37/7.37 ![X0]: (multiply(d,add(inverse(a),X0))=add(inverse(a),multiply(d,X0)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f1167,f23])).
% 13.37/7.37 fof(f2697,plain,(
% 13.37/7.37 multiplicative_identity=add(d,a)),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f24,f2685])).
% 13.37/7.37 fof(f2704,plain,(
% 13.37/7.37 ![X0]: (add(inverse(a),multiply(inverse(b),X0))=add(inverse(a),multiply(d,X0)))),
% 13.37/7.37 inference(backward_demodulation,[status(thm)],[f2693,f467])).
% 13.37/7.37 fof(f2836,plain,(
% 13.37/7.37 add(b,inverse(b))=add(d,b)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f1214,f246])).
% 13.37/7.37 fof(f2848,plain,(
% 13.37/7.37 multiplicative_identity=add(d,b)),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f24,f2836])).
% 13.37/7.37 fof(f3192,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=multiply(X1,X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f19,f573])).
% 13.37/7.37 fof(f3199,plain,(
% 13.37/7.37 ![X0]: (multiply(multiplicative_identity,X0)=multiply(X0,X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f25,f573])).
% 13.37/7.37 fof(f3200,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(add(X0,inverse(X1)),X1)=multiply(multiply(inverse(inverse(X1)),X0),X1))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f134,f573])).
% 13.37/7.37 fof(f3230,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=add(add(inverse(inverse(X0)),X1),X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f573,f246])).
% 13.37/7.37 fof(f3260,plain,(
% 13.37/7.37 ![X0]: (X0=multiply(X0,X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f29,f3199])).
% 13.37/7.37 fof(f3261,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,X1)=multiply(multiply(inverse(inverse(X1)),X0),X1))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f583,f3200])).
% 13.37/7.37 fof(f3262,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,X1)=multiply(multiply(X1,X0),X1))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f390,f3261])).
% 13.37/7.37 fof(f3281,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,X1)=add(add(inverse(inverse(X1)),X0),X1))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f246,f3230])).
% 13.37/7.37 fof(f3284,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,X1)=add(add(X1,X0),X1))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f390,f3281])).
% 13.37/7.37 fof(f3416,plain,(
% 13.37/7.37 multiply(b,a)=multiply(c,a)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f32,f3262])).
% 13.37/7.37 fof(f3485,plain,(
% 13.37/7.37 multiply(b,a)=c),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f2653,f3416])).
% 13.37/7.37 fof(f3505,plain,(
% 13.37/7.37 multiply(a,b)=multiply(c,b)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f3485,f3262])).
% 13.37/7.37 fof(f3518,plain,(
% 13.37/7.37 c=multiply(c,b)),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f32,f3505])).
% 13.37/7.37 fof(f3521,plain,(
% 13.37/7.37 add(c,sF0_fnc)=add(b,sF0_fnc)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f3518,f124])).
% 13.37/7.37 fof(f3545,plain,(
% 13.37/7.37 multiplicative_identity=add(b,sF0_fnc)),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f63,f3521])).
% 13.37/7.37 fof(f3747,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,X1)=add(X1,add(X1,X0)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f18,f3284])).
% 13.37/7.37 fof(f3758,plain,(
% 13.37/7.37 add(sF0_fnc,a)=add(multiplicative_identity,a)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f2654,f3284])).
% 13.37/7.37 fof(f3841,plain,(
% 13.37/7.37 add(sF0_fnc,a)=multiplicative_identity),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f153,f3758])).
% 13.37/7.37 fof(f3908,plain,(
% 13.37/7.37 ![X0]: (add(sF0_fnc,multiply(X0,a))=multiply(add(sF0_fnc,X0),multiplicative_identity))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f3841,f21])).
% 13.37/7.37 fof(f3922,plain,(
% 13.37/7.37 ![X0]: (add(sF0_fnc,multiply(X0,a))=add(sF0_fnc,X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f28,f3908])).
% 13.37/7.37 fof(f6437,plain,(
% 13.37/7.37 ![X0,X1]: (add(add(X0,X1),X0)=add(X0,add(X1,X0)))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f3747,f3747])).
% 13.37/7.37 fof(f6558,plain,(
% 13.37/7.37 ![X0,X1]: (add(X0,X1)=add(X1,add(X0,X1)))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f3284,f6437])).
% 13.37/7.37 fof(f7852,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,add(X1,inverse(X0)))=multiply(multiply(X1,inverse(inverse(X0))),X0))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f246,f3192])).
% 13.37/7.37 fof(f7928,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,X1)=multiply(multiply(X1,inverse(inverse(X0))),X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f647,f7852])).
% 13.37/7.37 fof(f7929,plain,(
% 13.37/7.37 ![X0,X1]: (multiply(X0,X1)=multiply(multiply(X1,X0),X0))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f390,f7928])).
% 13.37/7.37 fof(f10881,plain,(
% 13.37/7.37 add(sF0_fnc,additive_identity)=add(sF0_fnc,inverse(a))),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f27,f3922])).
% 13.37/7.37 fof(f10923,plain,(
% 13.37/7.37 sF0_fnc=add(sF0_fnc,inverse(a))),
% 13.37/7.37 inference(forward_demodulation,[status(thm)],[f30,f10881])).
% 13.37/7.37 fof(f11059,plain,(
% 13.37/7.37 add(sF0_fnc,inverse(a))=add(inverse(a),sF0_fnc)),
% 13.37/7.37 inference(paramodulation,[status(thm)],[f10923,f6558])).
% 13.37/7.37 fof(f11082,plain,(
% 13.37/7.37 sF0_fnc=add(inverse(a),sF0_fnc)),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f10923,f11059])).
% 13.37/7.42 fof(f12835,plain,(
% 13.37/7.42 ![X0,X1]: (add(X0,inverse(X0))=add(add(X0,X1),inverse(X0)))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f578,f131])).
% 13.37/7.42 fof(f12893,plain,(
% 13.37/7.42 ![X0,X1]: (multiplicative_identity=add(add(X0,X1),inverse(X0)))),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f24,f12835])).
% 13.37/7.42 fof(f15039,plain,(
% 13.37/7.42 multiply(multiplicative_identity,inverse(d))=multiply(b,inverse(d))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f2848,f580])).
% 13.37/7.42 fof(f15042,plain,(
% 13.37/7.42 multiply(multiplicative_identity,inverse(d))=multiply(a,inverse(d))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f2697,f580])).
% 13.37/7.42 fof(f15067,plain,(
% 13.37/7.42 multiply(multiplicative_identity,inverse(b))=multiply(sF0_fnc,inverse(b))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f3545,f580])).
% 13.37/7.42 fof(f15186,plain,(
% 13.37/7.42 inverse(d)=multiply(b,inverse(d))),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f29,f15039])).
% 13.37/7.42 fof(f15189,plain,(
% 13.37/7.42 inverse(d)=multiply(a,inverse(d))),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f29,f15042])).
% 13.37/7.42 fof(f15216,plain,(
% 13.37/7.42 inverse(b)=multiply(sF0_fnc,inverse(b))),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f29,f15067])).
% 13.37/7.42 fof(f15701,plain,(
% 13.37/7.42 multiply(inverse(b),sF0_fnc)=multiply(inverse(b),inverse(b))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f15216,f7929])).
% 13.37/7.42 fof(f15727,plain,(
% 13.37/7.42 multiply(inverse(b),sF0_fnc)=inverse(b)),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f3260,f15701])).
% 13.37/7.42 fof(f15862,plain,(
% 13.37/7.42 add(inverse(a),inverse(b))=add(inverse(a),multiply(d,sF0_fnc))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f15727,f2704])).
% 13.37/7.42 fof(f15895,plain,(
% 13.37/7.42 d=add(inverse(a),multiply(d,sF0_fnc))),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f33,f15862])).
% 13.37/7.42 fof(f16332,plain,(
% 13.37/7.42 b=add(b,inverse(d))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f15186,f642])).
% 13.37/7.42 fof(f16415,plain,(
% 13.37/7.42 multiply(a,b)=add(c,multiply(a,inverse(d)))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f16332,f606])).
% 13.37/7.42 fof(f16446,plain,(
% 13.37/7.42 c=add(c,multiply(a,inverse(d)))),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f32,f16415])).
% 13.37/7.42 fof(f16447,plain,(
% 13.37/7.42 c=add(c,inverse(d))),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f15189,f16446])).
% 13.37/7.42 fof(f16485,plain,(
% 13.37/7.42 add(c,inverse(d))=add(inverse(d),c)),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f16447,f6558])).
% 13.37/7.42 fof(f16515,plain,(
% 13.37/7.42 c=add(inverse(d),c)),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f16447,f16485])).
% 13.37/7.42 fof(f16548,plain,(
% 13.37/7.42 multiplicative_identity=add(c,inverse(inverse(d)))),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f16515,f12893])).
% 13.37/7.42 fof(f16584,plain,(
% 13.37/7.42 multiplicative_identity=add(c,d)),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f390,f16548])).
% 13.37/7.42 fof(f16610,plain,(
% 13.37/7.42 multiply(multiplicative_identity,sF0_fnc)=multiply(d,sF0_fnc)),
% 13.37/7.42 inference(paramodulation,[status(thm)],[f16584,f574])).
% 13.37/7.42 fof(f16638,plain,(
% 13.37/7.42 d=add(inverse(a),sF0_fnc)),
% 13.37/7.42 inference(backward_demodulation,[status(thm)],[f16639,f15895])).
% 13.37/7.42 fof(f16639,plain,(
% 13.37/7.42 sF0_fnc=multiply(d,sF0_fnc)),
% 13.37/7.42 inference(forward_demodulation,[status(thm)],[f29,f16610])).
% 13.37/7.42 fof(f16689,plain,(
% 13.37/7.42 sF0_fnc=d),
% 13.37/7.42 inference(backward_demodulation,[status(thm)],[f16638,f11082])).
% 13.37/7.42 fof(f16691,plain,(
% 13.37/7.42 $false),
% 13.37/7.42 inference(forward_subsumption_resolution,[status(thm)],[f16689,f36])).
% 13.37/7.42 % SZS output end CNFRefutation for theBenchmark.p
% 1.09/7.44 % Elapsed time: 2.013434 seconds
% 1.09/7.44 % CPU time: 15.759193 seconds
% 1.09/7.44 % Total memory used: 156.990 MB
% 1.09/7.44 % Net memory used: 154.010 MB
%------------------------------------------------------------------------------