%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO014-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:06:45 PM UTC 2026
% Result : Unsatisfiable 5.71s 1.26s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.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 13:42:57 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 5.71/1.26 % Refutation found
% 5.71/1.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.71/1.26 % SZS output start CNFRefutation for theBenchmark
% 5.71/1.26 fof(f1,axiom,(
% 5.71/1.26 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f2,axiom,(
% 5.71/1.26 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f3,axiom,(
% 5.71/1.26 (![X,Y,Z]: (add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f4,axiom,(
% 5.71/1.26 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f5,axiom,(
% 5.71/1.26 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f6,axiom,(
% 5.71/1.26 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f7,axiom,(
% 5.71/1.26 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f9,axiom,(
% 5.71/1.26 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f11,axiom,(
% 5.71/1.26 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f12,axiom,(
% 5.71/1.26 (![X]: (multiply(multiplicative_identity,X) = X ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f13,axiom,(
% 5.71/1.26 (![X]: (add(X,additive_identity) = X ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f14,axiom,(
% 5.71/1.26 (![X]: (add(additive_identity,X) = X ))),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f15,hypothesis,(
% 5.71/1.26 add(a,b) = c ),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f16,hypothesis,(
% 5.71/1.26 multiply(inverse(a),inverse(b)) = d ),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f17,negated_conjecture,(
% 5.71/1.26 inverse(c) != d ),
% 5.71/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.71/1.26 fof(f18,plain,(
% 5.71/1.26 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f1])).
% 5.71/1.26 fof(f19,plain,(
% 5.71/1.26 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f2])).
% 5.71/1.26 fof(f20,plain,(
% 5.71/1.26 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X0,X2),add(X1,X2)))),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f3])).
% 5.71/1.26 fof(f21,plain,(
% 5.71/1.26 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f4])).
% 5.71/1.26 fof(f22,plain,(
% 5.71/1.26 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f5])).
% 5.71/1.26 fof(f23,plain,(
% 5.71/1.26 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f6])).
% 5.71/1.26 fof(f24,plain,(
% 5.71/1.26 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f7])).
% 5.71/1.26 fof(f26,plain,(
% 5.71/1.26 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f9])).
% 5.71/1.26 fof(f28,plain,(
% 5.71/1.26 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f11])).
% 5.71/1.26 fof(f29,plain,(
% 5.71/1.26 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f12])).
% 5.71/1.26 fof(f30,plain,(
% 5.71/1.26 ![X0]: (add(X0,additive_identity)=X0)),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f13])).
% 5.71/1.26 fof(f31,plain,(
% 5.71/1.26 ![X0]: (add(additive_identity,X0)=X0)),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f14])).
% 5.71/1.26 fof(f32,plain,(
% 5.71/1.26 add(a,b)=c),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f15])).
% 5.71/1.26 fof(f33,plain,(
% 5.71/1.26 multiply(inverse(a),inverse(b))=d),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f16])).
% 5.71/1.26 fof(f34,plain,(
% 5.71/1.26 ~inverse(c)=d),
% 5.71/1.26 inference(cnf_transformation,[status(thm)],[f17])).
% 5.71/1.26 fof(f35,definition,(
% 5.71/1.26 sF0_fnc=inverse(c)),
% 5.71/1.26 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 5.71/1.26 fof(f36,plain,(
% 5.71/1.26 ~sF0_fnc=d),
% 5.71/1.26 inference(definition_folding,[],[f34,f35])).
% 5.71/1.27 fof(f65,plain,(
% 5.71/1.27 inverse(additive_identity)=multiplicative_identity),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f31,f24])).
% 5.71/1.27 fof(f66,plain,(
% 5.71/1.27 add(c,sF0_fnc)=multiplicative_identity),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f35,f24])).
% 5.71/1.27 fof(f73,plain,(
% 5.71/1.27 ![X0,X1]: (add(multiply(additive_identity,X0),X1)=multiply(X1,add(X0,X1)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f31,f20])).
% 5.71/1.27 fof(f75,plain,(
% 5.71/1.27 ![X0,X1]: (add(multiply(X0,X1),inverse(X0))=multiply(multiplicative_identity,add(X1,inverse(X0))))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f24,f20])).
% 5.71/1.27 fof(f77,plain,(
% 5.71/1.27 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X2,X0),add(X1,X2)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f18,f20])).
% 5.71/1.27 fof(f82,plain,(
% 5.71/1.27 ![X0,X1]: (add(multiply(X0,X1),inverse(X1))=multiply(add(X0,inverse(X1)),multiplicative_identity))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f24,f20])).
% 5.71/1.27 fof(f91,plain,(
% 5.71/1.27 ![X0,X1]: (add(inverse(X0),multiply(X0,X1))=multiply(multiplicative_identity,add(X1,inverse(X0))))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f75])).
% 5.71/1.27 fof(f92,plain,(
% 5.71/1.27 ![X0,X1]: (add(inverse(X0),multiply(X0,X1))=add(X1,inverse(X0)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f29,f91])).
% 5.71/1.27 fof(f99,plain,(
% 5.71/1.27 ![X0,X1]: (add(inverse(X0),multiply(X1,X0))=multiply(add(X1,inverse(X0)),multiplicative_identity))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f82])).
% 5.71/1.27 fof(f100,plain,(
% 5.71/1.27 ![X0,X1]: (add(inverse(X0),multiply(X1,X0))=add(X1,inverse(X0)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f28,f99])).
% 5.71/1.27 fof(f110,plain,(
% 5.71/1.27 multiply(c,sF0_fnc)=additive_identity),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f35,f26])).
% 5.71/1.27 fof(f263,plain,(
% 5.71/1.27 ![X0]: (add(c,multiply(sF0_fnc,X0))=multiply(multiplicative_identity,add(c,X0)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f66,f21])).
% 5.71/1.27 fof(f267,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=multiply(multiplicative_identity,add(X0,X1)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f24,f21])).
% 5.71/1.27 fof(f279,plain,(
% 5.71/1.27 ![X0]: (add(a,multiply(X0,b))=multiply(add(a,X0),c))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f32,f21])).
% 5.71/1.27 fof(f281,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=multiply(add(X0,X1),multiplicative_identity))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f24,f21])).
% 5.71/1.27 fof(f293,plain,(
% 5.71/1.27 ![X0]: (add(c,multiply(sF0_fnc,X0))=add(c,X0))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f29,f263])).
% 5.71/1.27 fof(f295,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=add(X0,X1))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f29,f267])).
% 5.71/1.27 fof(f301,plain,(
% 5.71/1.27 ![X0]: (add(a,multiply(X0,b))=multiply(c,add(a,X0)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f279])).
% 5.71/1.27 fof(f302,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=add(X0,X1))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f28,f281])).
% 5.71/1.27 fof(f307,plain,(
% 5.71/1.27 ![X0]: (multiply(add(c,X0),sF0_fnc)=add(additive_identity,multiply(X0,sF0_fnc)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f110,f22])).
% 5.71/1.27 fof(f312,plain,(
% 5.71/1.27 ![X0]: (multiply(add(inverse(a),X0),inverse(b))=add(d,multiply(X0,inverse(b))))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f33,f22])).
% 5.71/1.27 fof(f325,plain,(
% 5.71/1.27 ![X0]: (multiply(add(X0,inverse(a)),inverse(b))=add(multiply(X0,inverse(b)),d))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f33,f22])).
% 5.71/1.27 fof(f340,plain,(
% 5.71/1.27 ![X0]: (multiply(sF0_fnc,add(c,X0))=add(additive_identity,multiply(X0,sF0_fnc)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f307])).
% 5.71/1.27 fof(f341,plain,(
% 5.71/1.27 ![X0]: (multiply(sF0_fnc,add(c,X0))=multiply(X0,sF0_fnc))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f31,f340])).
% 5.71/1.27 fof(f342,plain,(
% 5.71/1.27 ![X0]: (multiply(inverse(b),add(inverse(a),X0))=add(d,multiply(X0,inverse(b))))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f312])).
% 5.71/1.27 fof(f352,plain,(
% 5.71/1.27 ![X0]: (multiply(inverse(b),add(X0,inverse(a)))=add(multiply(X0,inverse(b)),d))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f325])).
% 5.71/1.27 fof(f353,plain,(
% 5.71/1.27 ![X0]: (multiply(inverse(b),add(X0,inverse(a)))=add(d,multiply(X0,inverse(b))))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f352])).
% 5.71/1.27 fof(f373,plain,(
% 5.71/1.27 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=add(additive_identity,multiply(X0,X1)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f26,f23])).
% 5.71/1.27 fof(f402,plain,(
% 5.71/1.27 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=multiply(X0,X1))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f31,f373])).
% 5.71/1.27 fof(f848,plain,(
% 5.71/1.27 ![X0]: (add(X0,additive_identity)=add(X0,inverse(inverse(X0))))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f26,f295])).
% 5.71/1.27 fof(f849,plain,(
% 5.71/1.27 ![X0]: (add(X0,inverse(X0))=add(X0,multiplicative_identity))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f28,f295])).
% 5.71/1.27 fof(f879,plain,(
% 5.71/1.27 ![X0]: (X0=add(X0,inverse(inverse(X0))))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f30,f848])).
% 5.71/1.27 fof(f880,plain,(
% 5.71/1.27 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f24,f849])).
% 5.71/1.27 fof(f906,plain,(
% 5.71/1.27 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f18,f880])).
% 5.71/1.27 fof(f1020,plain,(
% 5.71/1.27 ![X0]: (add(X0,additive_identity)=add(X0,X0))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f26,f302])).
% 5.71/1.27 fof(f1053,plain,(
% 5.71/1.27 ![X0]: (X0=add(X0,X0))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f30,f1020])).
% 5.71/1.27 fof(f1672,plain,(
% 5.71/1.27 multiply(inverse(b),multiplicative_identity)=add(d,multiply(multiplicative_identity,inverse(b)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f880,f342])).
% 5.71/1.27 fof(f1693,plain,(
% 5.71/1.27 inverse(b)=add(d,multiply(multiplicative_identity,inverse(b)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f28,f1672])).
% 5.71/1.27 fof(f1694,plain,(
% 5.71/1.27 inverse(b)=add(d,inverse(b))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f29,f1693])).
% 5.71/1.27 fof(f1919,plain,(
% 5.71/1.27 ![X0]: (multiply(X0,multiplicative_identity)=multiply(X0,inverse(inverse(X0))))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f24,f402])).
% 5.71/1.27 fof(f1926,plain,(
% 5.71/1.27 ![X0]: (multiply(additive_identity,add(multiplicative_identity,X0))=multiply(additive_identity,X0))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f65,f402])).
% 5.71/1.27 fof(f1978,plain,(
% 5.71/1.27 ![X0]: (X0=multiply(X0,inverse(inverse(X0))))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f28,f1919])).
% 5.71/1.27 fof(f1982,plain,(
% 5.71/1.27 ![X0]: (multiply(additive_identity,multiplicative_identity)=multiply(additive_identity,X0))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f906,f1926])).
% 5.71/1.27 fof(f1983,plain,(
% 5.71/1.27 ![X0]: (additive_identity=multiply(additive_identity,X0))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f28,f1982])).
% 5.71/1.27 fof(f2070,plain,(
% 5.71/1.27 ![X0,X1]: (add(additive_identity,X0)=multiply(X0,add(X1,X0)))),
% 5.71/1.27 inference(backward_demodulation,[status(thm)],[f1983,f73])).
% 5.71/1.27 fof(f2094,plain,(
% 5.71/1.27 ![X0,X1]: (X0=multiply(X0,add(X1,X0)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f31,f2070])).
% 5.71/1.27 fof(f2128,plain,(
% 5.71/1.27 b=multiply(b,c)),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f32,f2094])).
% 5.71/1.27 fof(f2136,plain,(
% 5.71/1.27 ![X0,X1]: (X0=multiply(X0,add(X0,X1)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f18,f2094])).
% 5.71/1.27 fof(f2187,plain,(
% 5.71/1.27 add(inverse(b),b)=add(c,inverse(b))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f2128,f92])).
% 5.71/1.27 fof(f2195,plain,(
% 5.71/1.27 add(b,inverse(b))=add(c,inverse(b))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f2187])).
% 5.71/1.27 fof(f2196,plain,(
% 5.71/1.27 multiplicative_identity=add(c,inverse(b))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f24,f2195])).
% 5.71/1.27 fof(f2211,plain,(
% 5.71/1.27 d=multiply(d,inverse(b))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f1694,f2136])).
% 5.71/1.27 fof(f2224,plain,(
% 5.71/1.27 a=multiply(a,c)),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f32,f2136])).
% 5.71/1.27 fof(f2309,plain,(
% 5.71/1.27 ![X0,X1]: (add(multiply(X0,X1),X0)=multiply(X0,add(X1,X0)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f1053,f77])).
% 5.71/1.27 fof(f2332,plain,(
% 5.71/1.27 ![X0,X1]: (add(multiply(X0,X1),X1)=multiply(add(X1,X0),X1))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f1053,f77])).
% 5.71/1.27 fof(f2395,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(X0,X1))=multiply(X0,add(X1,X0)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f2309])).
% 5.71/1.27 fof(f2396,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(X0,X1))=X0)),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f2094,f2395])).
% 5.71/1.27 fof(f2426,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(add(X0,X1),X0))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f2332])).
% 5.71/1.27 fof(f2427,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(X0,add(X0,X1)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f2426])).
% 5.71/1.27 fof(f2428,plain,(
% 5.71/1.27 ![X0,X1]: (add(X0,multiply(X1,X0))=X0)),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f2136,f2427])).
% 5.71/1.27 fof(f2624,plain,(
% 5.71/1.27 add(inverse(a),a)=add(c,inverse(a))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f2224,f92])).
% 5.71/1.27 fof(f2629,plain,(
% 5.71/1.27 add(a,inverse(a))=add(c,inverse(a))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f2624])).
% 5.71/1.27 fof(f2630,plain,(
% 5.71/1.27 multiplicative_identity=add(c,inverse(a))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f24,f2629])).
% 5.71/1.27 fof(f2638,plain,(
% 5.71/1.27 multiply(sF0_fnc,multiplicative_identity)=multiply(inverse(b),sF0_fnc)),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f2196,f341])).
% 5.71/1.27 fof(f2650,plain,(
% 5.71/1.27 sF0_fnc=multiply(inverse(b),sF0_fnc)),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f28,f2638])).
% 5.71/1.27 fof(f2651,plain,(
% 5.71/1.27 sF0_fnc=multiply(sF0_fnc,inverse(b))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f2650])).
% 5.71/1.27 fof(f2667,plain,(
% 5.71/1.27 add(inverse(d),d)=add(inverse(b),inverse(d))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f2211,f92])).
% 5.71/1.27 fof(f2672,plain,(
% 5.71/1.27 add(d,inverse(d))=add(inverse(b),inverse(d))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f2667])).
% 5.71/1.27 fof(f2673,plain,(
% 5.71/1.27 multiplicative_identity=add(inverse(b),inverse(d))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f24,f2672])).
% 5.71/1.27 fof(f2680,plain,(
% 5.71/1.27 multiply(sF0_fnc,multiplicative_identity)=multiply(inverse(a),sF0_fnc)),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f2630,f341])).
% 5.71/1.27 fof(f2692,plain,(
% 5.71/1.27 sF0_fnc=multiply(inverse(a),sF0_fnc)),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f28,f2680])).
% 5.71/1.27 fof(f2693,plain,(
% 5.71/1.27 sF0_fnc=multiply(sF0_fnc,inverse(a))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f2692])).
% 5.71/1.27 fof(f2867,plain,(
% 5.71/1.27 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X0,multiply(inverse(X0),X1)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f2396,f402])).
% 5.71/1.27 fof(f2900,plain,(
% 5.71/1.27 ![X0,X1]: (additive_identity=multiply(X0,multiply(inverse(X0),X1)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f26,f2867])).
% 5.71/1.27 fof(f2937,plain,(
% 5.71/1.27 add(inverse(a),sF0_fnc)=inverse(a)),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f2693,f2428])).
% 5.71/1.27 fof(f3000,plain,(
% 5.71/1.27 add(sF0_fnc,inverse(a))=inverse(a)),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f2937])).
% 5.71/1.27 fof(f3162,plain,(
% 5.71/1.27 ![X0]: (add(inverse(inverse(X0)),X0)=inverse(inverse(X0)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f1978,f2428])).
% 5.71/1.27 fof(f3186,plain,(
% 5.71/1.27 ![X0]: (add(X0,inverse(inverse(X0)))=inverse(inverse(X0)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f18,f3162])).
% 5.71/1.27 fof(f3187,plain,(
% 5.71/1.27 ![X0]: (X0=inverse(inverse(X0)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f879,f3186])).
% 5.71/1.27 fof(f4420,plain,(
% 5.71/1.27 additive_identity=multiply(a,d)),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f33,f2900])).
% 5.71/1.27 fof(f4431,plain,(
% 5.71/1.27 ![X0,X1]: (additive_identity=multiply(inverse(X0),multiply(X0,X1)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f3187,f2900])).
% 5.71/1.27 fof(f4487,plain,(
% 5.71/1.27 add(inverse(d),additive_identity)=add(a,inverse(d))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f4420,f100])).
% 5.71/1.27 fof(f4498,plain,(
% 5.71/1.27 inverse(d)=add(a,inverse(d))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f30,f4487])).
% 5.71/1.27 fof(f7266,plain,(
% 5.71/1.27 multiply(inverse(b),inverse(a))=add(d,multiply(sF0_fnc,inverse(b)))),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f3000,f353])).
% 5.71/1.27 fof(f7286,plain,(
% 5.71/1.27 multiply(inverse(a),inverse(b))=add(d,multiply(sF0_fnc,inverse(b)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f7266])).
% 5.71/1.27 fof(f7287,plain,(
% 5.71/1.27 d=add(d,multiply(sF0_fnc,inverse(b)))),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f33,f7286])).
% 5.71/1.27 fof(f7288,plain,(
% 5.71/1.27 d=add(d,sF0_fnc)),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f2651,f7287])).
% 5.71/1.27 fof(f7329,plain,(
% 5.71/1.27 sF0_fnc=multiply(sF0_fnc,d)),
% 5.71/1.27 inference(paramodulation,[status(thm)],[f7288,f2094])).
% 5.71/1.27 fof(f7352,plain,(
% 5.71/1.27 sF0_fnc=multiply(d,sF0_fnc)),
% 5.71/1.27 inference(forward_demodulation,[status(thm)],[f19,f7329])).
% 5.71/1.27 fof(f7408,plain,(
% 5.71/1.27 additive_identity=multiply(inverse(d),sF0_fnc)),
% 5.71/1.29 inference(paramodulation,[status(thm)],[f7352,f4431])).
% 5.71/1.29 fof(f7428,plain,(
% 5.71/1.29 additive_identity=multiply(sF0_fnc,inverse(d))),
% 5.71/1.29 inference(forward_demodulation,[status(thm)],[f19,f7408])).
% 5.71/1.29 fof(f7443,plain,(
% 5.71/1.29 add(c,additive_identity)=add(c,inverse(d))),
% 5.71/1.29 inference(paramodulation,[status(thm)],[f7428,f293])).
% 5.71/1.29 fof(f7464,plain,(
% 5.71/1.29 c=add(c,inverse(d))),
% 5.71/1.29 inference(forward_demodulation,[status(thm)],[f30,f7443])).
% 5.71/1.29 fof(f10872,plain,(
% 5.71/1.29 multiply(b,multiplicative_identity)=multiply(b,inverse(d))),
% 5.71/1.29 inference(paramodulation,[status(thm)],[f2673,f402])).
% 5.71/1.29 fof(f10902,plain,(
% 5.71/1.29 b=multiply(b,inverse(d))),
% 5.71/1.29 inference(forward_demodulation,[status(thm)],[f28,f10872])).
% 5.71/1.29 fof(f11403,plain,(
% 5.71/1.29 add(a,multiply(inverse(d),b))=multiply(c,inverse(d))),
% 5.71/1.29 inference(paramodulation,[status(thm)],[f4498,f301])).
% 5.71/1.29 fof(f11432,plain,(
% 5.71/1.29 add(a,multiply(b,inverse(d)))=multiply(c,inverse(d))),
% 5.71/1.29 inference(forward_demodulation,[status(thm)],[f19,f11403])).
% 5.71/1.29 fof(f11433,plain,(
% 5.71/1.29 add(a,b)=multiply(c,inverse(d))),
% 5.71/1.29 inference(forward_demodulation,[status(thm)],[f10902,f11432])).
% 5.71/1.29 fof(f11434,plain,(
% 5.71/1.29 c=multiply(c,inverse(d))),
% 5.71/1.29 inference(forward_demodulation,[status(thm)],[f32,f11433])).
% 5.71/1.29 fof(f11487,plain,(
% 5.71/1.29 add(inverse(d),c)=inverse(d)),
% 5.71/1.29 inference(paramodulation,[status(thm)],[f11434,f2428])).
% 5.71/1.29 fof(f11511,plain,(
% 5.71/1.29 add(c,inverse(d))=inverse(d)),
% 5.71/1.29 inference(forward_demodulation,[status(thm)],[f18,f11487])).
% 5.71/1.29 fof(f11512,plain,(
% 5.71/1.29 c=inverse(d)),
% 5.71/1.29 inference(forward_demodulation,[status(thm)],[f7464,f11511])).
% 5.71/1.29 fof(f11540,plain,(
% 5.71/1.29 d=inverse(c)),
% 5.71/1.29 inference(paramodulation,[status(thm)],[f11512,f3187])).
% 5.71/1.29 fof(f11555,plain,(
% 5.71/1.29 sF0_fnc=d),
% 5.71/1.29 inference(backward_demodulation,[status(thm)],[f11540,f35])).
% 5.71/1.29 fof(f11572,plain,(
% 5.71/1.29 $false),
% 5.71/1.29 inference(forward_subsumption_resolution,[status(thm)],[f11555,f36])).
% 5.71/1.29 % SZS output end CNFRefutation for theBenchmark.p
% 5.71/1.31 % Elapsed time: 0.940342 seconds
% 5.71/1.31 % CPU time: 7.259391 seconds
% 5.71/1.31 % Total memory used: 122.843 MB
% 5.71/1.31 % Net memory used: 119.929 MB
%------------------------------------------------------------------------------