%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO024-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:06:47 PM UTC 2026
% Result : Unsatisfiable 2.62s 0.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO024-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.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 13:53:39 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 2.62/0.74 % Refutation found
% 2.62/0.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.62/0.74 % SZS output start CNFRefutation for theBenchmark
% 2.62/0.74 fof(f1,axiom,(
% 2.62/0.74 (![X,Y]: (multiply(add(X,Y),Y) = Y ))),
% 2.62/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.74 fof(f2,axiom,(
% 2.62/0.74 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)) ))),
% 2.62/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.74 fof(f3,axiom,(
% 2.62/0.74 (![X]: (add(X,inverse(X)) = n1 ))),
% 2.62/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.74 fof(f4,axiom,(
% 2.62/0.74 (![X,Y,Z]: (pixley(X,Y,Z) = add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) ))),
% 2.62/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.74 fof(f5,axiom,(
% 2.62/0.74 (![X,Y]: (pixley(X,X,Y) = Y ))),
% 2.62/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.74 fof(f7,axiom,(
% 2.62/0.74 (![X,Y]: (pixley(X,Y,X) = X ))),
% 2.62/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.74 fof(f8,negated_conjecture,(
% 2.62/0.74 add(multiply(a,b),b) != b ),
% 2.62/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.62/0.74 fof(f9,plain,(
% 2.62/0.74 ![X0,X1]: (multiply(add(X0,X1),X1)=X1)),
% 2.62/0.74 inference(cnf_transformation,[status(thm)],[f1])).
% 2.62/0.74 fof(f10,plain,(
% 2.62/0.74 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X1,X0),multiply(X2,X0)))),
% 2.62/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 2.62/0.74 fof(f11,plain,(
% 2.62/0.74 ![X0]: (add(X0,inverse(X0))=n1)),
% 2.62/0.74 inference(cnf_transformation,[status(thm)],[f3])).
% 2.62/0.74 fof(f12,plain,(
% 2.62/0.74 ![X0,X1,X2]: (pixley(X0,X1,X2)=add(multiply(X0,inverse(X1)),add(multiply(X0,X2),multiply(inverse(X1),X2))))),
% 2.62/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 2.62/0.74 fof(f13,plain,(
% 2.62/0.74 ![X0,X1]: (pixley(X0,X0,X1)=X1)),
% 2.62/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 2.62/0.74 fof(f15,plain,(
% 2.62/0.74 ![X0,X1]: (pixley(X0,X1,X0)=X0)),
% 2.62/0.74 inference(cnf_transformation,[status(thm)],[f7])).
% 2.62/0.74 fof(f16,plain,(
% 2.62/0.74 ~add(multiply(a,b),b)=b),
% 2.62/0.74 inference(cnf_transformation,[status(thm)],[f8])).
% 2.62/0.74 fof(f17,definition,(
% 2.62/0.74 sF1_fnc=multiply(a,b)),
% 2.62/0.74 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 2.62/0.74 fof(f18,definition,(
% 2.62/0.74 sF0_fnc=add(sF1_fnc,b)),
% 2.62/0.74 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 2.62/0.74 fof(f19,plain,(
% 2.62/0.74 ~sF0_fnc=b),
% 2.62/0.74 inference(definition_folding,[],[f16,f18,f17])).
% 2.62/0.74 fof(f20,plain,(
% 2.62/0.74 multiply(sF0_fnc,b)=b),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f18,f9])).
% 2.62/0.74 fof(f21,plain,(
% 2.62/0.74 ![X0]: (multiply(b,add(sF0_fnc,X0))=add(b,multiply(X0,b)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f20,f10])).
% 2.62/0.74 fof(f22,plain,(
% 2.62/0.74 ![X0,X1,X2]: (multiply(X0,add(add(X1,X0),X2))=add(X0,multiply(X2,X0)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f9,f10])).
% 2.62/0.74 fof(f23,plain,(
% 2.62/0.74 ![X0]: (multiply(b,add(a,X0))=add(sF1_fnc,multiply(X0,b)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f17,f10])).
% 2.62/0.74 fof(f24,plain,(
% 2.62/0.74 ![X0]: (multiply(b,add(X0,sF0_fnc))=add(multiply(X0,b),b))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f20,f10])).
% 2.62/0.74 fof(f25,plain,(
% 2.62/0.74 ![X0,X1,X2]: (multiply(X0,add(X1,add(X2,X0)))=add(multiply(X1,X0),X0))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f9,f10])).
% 2.62/0.74 fof(f27,plain,(
% 2.62/0.74 ![X0,X1,X2]: (multiply(multiply(X0,add(X1,X2)),multiply(X2,X0))=multiply(X2,X0))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f10,f9])).
% 2.62/0.74 fof(f28,plain,(
% 2.62/0.74 multiply(b,add(a,sF0_fnc))=add(sF1_fnc,b)),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f20,f23])).
% 2.62/0.74 fof(f32,plain,(
% 2.62/0.74 multiply(b,add(a,sF0_fnc))=sF0_fnc),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f18,f28])).
% 2.62/0.74 fof(f48,plain,(
% 2.62/0.74 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),add(X2,multiply(X1,add(X3,X0))))=add(multiply(X2,multiply(X0,X1)),multiply(X0,X1)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f10,f25])).
% 2.62/0.74 fof(f59,plain,(
% 2.62/0.74 ![X0,X1,X2]: (multiply(add(X0,X1),multiply(X1,add(X2,add(X0,X1))))=multiply(X1,add(X2,add(X0,X1))))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f9,f27])).
% 2.62/0.74 fof(f62,plain,(
% 2.62/0.74 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,add(X2,X3))),multiply(multiply(X3,X1),X0))=multiply(multiply(X3,X1),X0))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f10,f27])).
% 2.62/0.74 fof(f77,plain,(
% 2.62/0.74 ![X0,X1,X2]: (multiply(add(X0,X1),add(multiply(X2,X1),X1))=multiply(X1,add(X2,add(X0,X1))))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f25,f59])).
% 2.62/0.74 fof(f78,plain,(
% 2.62/0.74 ![X0,X1,X2]: (multiply(add(X0,X1),add(multiply(X2,X1),X1))=add(multiply(X2,X1),X1))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f25,f77])).
% 2.62/0.74 fof(f146,plain,(
% 2.62/0.74 multiply(b,add(sF0_fnc,sF0_fnc))=add(b,b)),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f20,f21])).
% 2.62/0.74 fof(f162,plain,(
% 2.62/0.74 ![X0,X1]: (multiply(inverse(X0),add(X1,n1))=add(multiply(X1,inverse(X0)),inverse(X0)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f11,f25])).
% 2.62/0.74 fof(f164,plain,(
% 2.62/0.74 ![X0]: (multiply(n1,inverse(X0))=inverse(X0))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f11,f9])).
% 2.62/0.74 fof(f277,plain,(
% 2.62/0.74 ![X0,X1,X2]: (pixley(X0,X1,X2)=add(multiply(X0,inverse(X1)),multiply(X2,add(X0,inverse(X1)))))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f10,f12])).
% 2.62/0.74 fof(f283,plain,(
% 2.62/0.74 ![X0,X1]: (pixley(X0,X0,X1)=add(multiply(X0,inverse(X0)),multiply(X1,n1)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f11,f277])).
% 2.62/0.74 fof(f289,plain,(
% 2.62/0.74 ![X0,X1]: (X0=add(multiply(X1,inverse(X1)),multiply(X0,n1)))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f13,f283])).
% 2.62/0.74 fof(f425,plain,(
% 2.62/0.74 ![X0]: (X0=add(inverse(n1),multiply(X0,n1)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f164,f289])).
% 2.62/0.74 fof(f432,plain,(
% 2.62/0.74 ![X0]: (add(X0,n1)=add(inverse(n1),n1))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f9,f425])).
% 2.62/0.74 fof(f445,plain,(
% 2.62/0.74 ![X0,X1]: (add(X0,n1)=add(X1,n1))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f432,f432])).
% 2.62/0.74 fof(f464,plain,(
% 2.62/0.74 ![X0,X1]: (multiply(X0,add(X1,n1))=add(X0,multiply(n1,X0)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f445,f22])).
% 2.62/0.74 fof(f490,plain,(
% 2.62/0.74 ![X0,X1]: (multiply(inverse(X0),add(X1,n1))=add(inverse(X0),inverse(X0)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f164,f464])).
% 2.62/0.74 fof(f876,plain,(
% 2.62/0.74 ![X0,X1,X2]: (multiply(add(X0,X1),add(X1,X1))=add(multiply(add(X2,X1),X1),X1))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f9,f78])).
% 2.62/0.74 fof(f877,plain,(
% 2.62/0.74 ![X0]: (multiply(add(X0,b),add(sF1_fnc,b))=add(multiply(a,b),b))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f17,f78])).
% 2.62/0.74 fof(f947,plain,(
% 2.62/0.74 ![X0,X1]: (multiply(add(X0,X1),add(X1,X1))=add(X1,X1))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f9,f876])).
% 2.62/0.74 fof(f948,plain,(
% 2.62/0.74 ![X0]: (multiply(add(X0,b),sF0_fnc)=add(multiply(a,b),b))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f18,f877])).
% 2.62/0.74 fof(f949,plain,(
% 2.62/0.74 ![X0]: (multiply(add(X0,b),sF0_fnc)=multiply(b,add(a,sF0_fnc)))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f24,f948])).
% 2.62/0.74 fof(f950,plain,(
% 2.62/0.74 ![X0]: (multiply(add(X0,b),sF0_fnc)=sF0_fnc)),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f32,f949])).
% 2.62/0.74 fof(f979,plain,(
% 2.62/0.74 ![X0]: (multiply(X0,add(multiply(X0,n1),multiply(X0,n1)))=add(multiply(X0,n1),multiply(X0,n1)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f425,f947])).
% 2.62/0.74 fof(f996,plain,(
% 2.62/0.74 ![X0]: (multiply(n1,add(inverse(X0),inverse(X0)))=add(inverse(X0),inverse(X0)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f11,f947])).
% 2.62/0.74 fof(f1012,plain,(
% 2.62/0.74 ![X0]: (multiply(X0,multiply(n1,add(X0,X0)))=add(multiply(X0,n1),multiply(X0,n1)))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f10,f979])).
% 2.62/0.74 fof(f1013,plain,(
% 2.62/0.74 ![X0]: (multiply(X0,multiply(n1,add(X0,X0)))=multiply(n1,add(X0,X0)))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f10,f1012])).
% 2.62/0.74 fof(f1777,plain,(
% 2.62/0.74 ![X0]: (multiply(inverse(X0),add(inverse(X0),inverse(X0)))=multiply(n1,add(inverse(X0),inverse(X0))))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f996,f1013])).
% 2.62/0.74 fof(f1792,plain,(
% 2.62/0.74 ![X0]: (multiply(inverse(X0),add(inverse(X0),inverse(X0)))=add(inverse(X0),inverse(X0)))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f996,f1777])).
% 2.62/0.74 fof(f3063,plain,(
% 2.62/0.74 ![X0]: (pixley(inverse(X0),X0,inverse(X0))=add(multiply(inverse(X0),inverse(X0)),add(inverse(X0),inverse(X0))))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f1792,f277])).
% 2.62/0.74 fof(f3081,plain,(
% 2.62/0.74 ![X0]: (inverse(X0)=add(multiply(inverse(X0),inverse(X0)),add(inverse(X0),inverse(X0))))),
% 2.62/0.74 inference(forward_demodulation,[status(thm)],[f15,f3063])).
% 2.62/0.74 fof(f3158,plain,(
% 2.62/0.74 ![X0]: (multiply(inverse(X0),inverse(X0))=add(multiply(multiply(inverse(X0),inverse(X0)),inverse(X0)),inverse(X0)))),
% 2.62/0.74 inference(paramodulation,[status(thm)],[f3081,f25])).
% 2.62/0.75 fof(f3181,plain,(
% 2.62/0.75 ![X0]: (multiply(inverse(X0),inverse(X0))=multiply(inverse(X0),add(multiply(inverse(X0),inverse(X0)),n1)))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f162,f3158])).
% 2.62/0.75 fof(f3182,plain,(
% 2.62/0.75 ![X0]: (multiply(inverse(X0),inverse(X0))=add(inverse(X0),inverse(X0)))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f490,f3181])).
% 2.62/0.75 fof(f3197,plain,(
% 2.62/0.75 ![X0]: (inverse(X0)=add(multiply(inverse(X0),inverse(X0)),multiply(inverse(X0),inverse(X0))))),
% 2.62/0.75 inference(backward_demodulation,[status(thm)],[f3182,f3081])).
% 2.62/0.75 fof(f3200,plain,(
% 2.62/0.75 ![X0,X1]: (multiply(inverse(X0),inverse(X0))=multiply(inverse(X0),add(X1,n1)))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f490,f3182])).
% 2.62/0.75 fof(f3227,plain,(
% 2.62/0.75 ![X0]: (inverse(X0)=multiply(inverse(X0),add(inverse(X0),inverse(X0))))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f10,f3197])).
% 2.62/0.75 fof(f3228,plain,(
% 2.62/0.75 ![X0]: (inverse(X0)=multiply(inverse(X0),multiply(inverse(X0),inverse(X0))))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f3182,f3227])).
% 2.62/0.75 fof(f3342,plain,(
% 2.62/0.75 ![X0,X1]: (inverse(X0)=multiply(inverse(X0),multiply(inverse(X0),add(X1,n1))))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f3200,f3228])).
% 2.62/0.75 fof(f3415,plain,(
% 2.62/0.75 ![X0]: (multiply(inverse(X0),multiply(multiply(n1,inverse(X0)),inverse(X0)))=multiply(multiply(n1,inverse(X0)),inverse(X0)))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f3342,f62])).
% 2.62/0.75 fof(f3431,plain,(
% 2.62/0.75 ![X0]: (multiply(inverse(X0),multiply(inverse(X0),inverse(X0)))=multiply(multiply(n1,inverse(X0)),inverse(X0)))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f164,f3415])).
% 2.62/0.75 fof(f3432,plain,(
% 2.62/0.75 ![X0]: (inverse(X0)=multiply(multiply(n1,inverse(X0)),inverse(X0)))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f3228,f3431])).
% 2.62/0.75 fof(f3433,plain,(
% 2.62/0.75 ![X0]: (inverse(X0)=multiply(inverse(X0),inverse(X0)))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f164,f3432])).
% 2.62/0.75 fof(f3443,plain,(
% 2.62/0.75 ![X0,X1]: (inverse(X0)=multiply(inverse(X0),add(X1,n1)))),
% 2.62/0.75 inference(backward_demodulation,[status(thm)],[f3433,f3200])).
% 2.62/0.75 fof(f3446,plain,(
% 2.62/0.75 ![X0]: (inverse(X0)=add(inverse(X0),inverse(X0)))),
% 2.62/0.75 inference(backward_demodulation,[status(thm)],[f3433,f3182])).
% 2.62/0.75 fof(f4157,plain,(
% 2.62/0.75 ![X0,X1]: (multiply(multiply(n1,inverse(X0)),add(X1,inverse(X0)))=add(multiply(X1,multiply(n1,inverse(X0))),multiply(n1,inverse(X0))))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f3443,f48])).
% 2.62/0.75 fof(f4182,plain,(
% 2.62/0.75 ![X0,X1]: (multiply(inverse(X0),add(X1,inverse(X0)))=add(multiply(X1,multiply(n1,inverse(X0))),multiply(n1,inverse(X0))))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f164,f4157])).
% 2.62/0.75 fof(f4183,plain,(
% 2.62/0.75 ![X0,X1]: (multiply(inverse(X0),add(X1,inverse(X0)))=add(multiply(X1,inverse(X0)),multiply(n1,inverse(X0))))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f164,f4182])).
% 2.62/0.75 fof(f4184,plain,(
% 2.62/0.75 ![X0,X1]: (multiply(inverse(X0),add(X1,inverse(X0)))=multiply(inverse(X0),add(X1,n1)))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f10,f4183])).
% 2.62/0.75 fof(f4185,plain,(
% 2.62/0.75 ![X0,X1]: (multiply(inverse(X0),add(X1,inverse(X0)))=inverse(X0))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f3443,f4184])).
% 2.62/0.75 fof(f4274,plain,(
% 2.62/0.75 ![X0]: (multiply(inverse(X0),n1)=inverse(X0))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f11,f4185])).
% 2.62/0.75 fof(f4336,plain,(
% 2.62/0.75 ![X0]: (inverse(X0)=add(inverse(n1),inverse(X0)))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f4274,f425])).
% 2.62/0.75 fof(f4373,plain,(
% 2.62/0.75 inverse(inverse(n1))=n1),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f11,f4336])).
% 2.62/0.75 fof(f4457,plain,(
% 2.62/0.75 inverse(inverse(n1))=add(inverse(inverse(n1)),n1)),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f4373,f3446])).
% 2.62/0.75 fof(f4469,plain,(
% 2.62/0.75 ![X0]: (X0=add(multiply(inverse(n1),n1),multiply(X0,n1)))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f4373,f289])).
% 2.62/0.75 fof(f4488,plain,(
% 2.62/0.75 n1=add(inverse(inverse(n1)),n1)),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f4373,f4457])).
% 2.62/0.75 fof(f4489,plain,(
% 2.62/0.75 n1=add(n1,n1)),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f4373,f4488])).
% 2.62/0.75 fof(f4508,plain,(
% 2.62/0.75 ![X0]: (X0=multiply(n1,add(inverse(n1),X0)))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f10,f4469])).
% 2.62/0.75 fof(f4557,plain,(
% 2.62/0.75 ![X0]: (n1=add(X0,n1))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f445,f4489])).
% 2.62/0.75 fof(f4619,plain,(
% 2.62/0.75 ![X0]: (multiply(X0,n1)=add(X0,multiply(n1,X0)))),
% 2.62/0.75 inference(backward_demodulation,[status(thm)],[f4557,f464])).
% 2.62/0.75 fof(f5385,plain,(
% 2.62/0.75 ![X0]: (multiply(X0,n1)=multiply(n1,X0))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f425,f4508])).
% 2.62/0.75 fof(f5659,plain,(
% 2.62/0.75 ![X0]: (multiply(add(inverse(n1),X0),n1)=add(add(inverse(n1),X0),X0))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f4508,f4619])).
% 2.62/0.75 fof(f5714,plain,(
% 2.62/0.75 ![X0]: (multiply(n1,add(inverse(n1),X0))=add(add(inverse(n1),X0),X0))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f5385,f5659])).
% 2.62/0.75 fof(f5715,plain,(
% 2.62/0.75 ![X0]: (X0=add(add(inverse(n1),X0),X0))),
% 2.62/0.75 inference(forward_demodulation,[status(thm)],[f4508,f5714])).
% 2.62/0.75 fof(f5804,plain,(
% 2.62/0.75 ![X0]: (multiply(X0,X0)=add(X0,multiply(X0,X0)))),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f5715,f22])).
% 2.62/0.75 fof(f5808,plain,(
% 2.62/0.75 multiply(b,sF0_fnc)=sF0_fnc),
% 2.62/0.75 inference(paramodulation,[status(thm)],[f5715,f950])).
% 2.62/0.75 fof(f5863,plain,(
% 2.62/0.76 ![X0]: (multiply(X0,X0)=X0)),
% 2.62/0.76 inference(paramodulation,[status(thm)],[f5715,f9])).
% 2.62/0.76 fof(f6048,plain,(
% 2.62/0.76 ![X0]: (X0=add(X0,multiply(X0,X0)))),
% 2.62/0.76 inference(forward_demodulation,[status(thm)],[f5863,f5804])).
% 2.62/0.76 fof(f6051,plain,(
% 2.62/0.76 multiply(b,add(sF0_fnc,sF0_fnc))=b),
% 2.62/0.76 inference(backward_demodulation,[status(thm)],[f6057,f146])).
% 2.62/0.76 fof(f6057,plain,(
% 2.62/0.76 ![X0]: (X0=add(X0,X0))),
% 2.62/0.76 inference(forward_demodulation,[status(thm)],[f5863,f6048])).
% 2.62/0.76 fof(f6130,plain,(
% 2.62/0.76 multiply(b,sF0_fnc)=b),
% 2.62/0.76 inference(forward_demodulation,[status(thm)],[f6057,f6051])).
% 2.62/0.76 fof(f6212,plain,(
% 2.62/0.76 b=sF0_fnc),
% 2.62/0.76 inference(backward_demodulation,[status(thm)],[f6130,f5808])).
% 2.62/0.76 fof(f6230,plain,(
% 2.62/0.76 $false),
% 2.62/0.76 inference(forward_subsumption_resolution,[status(thm)],[f6212,f19])).
% 2.62/0.76 % SZS output end CNFRefutation for theBenchmark.p
% 1.12/0.81 % Elapsed time: 0.440580 seconds
% 1.12/0.81 % CPU time: 3.131143 seconds
% 1.12/0.81 % Total memory used: 106.407 MB
% 1.12/0.81 % Net memory used: 104.796 MB
%------------------------------------------------------------------------------