%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO015-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 60.75s 14.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO015-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.53 % Computer : n004.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Mon Sep 21 13:48:23 UTC 2026
% 0.09/0.54 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 60.75/14.56 % Refutation found
% 60.75/14.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 60.75/14.56 % SZS output start CNFRefutation for theBenchmark
% 60.75/14.56 fof(f1,axiom,(
% 60.75/14.56 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f2,axiom,(
% 60.75/14.56 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f3,axiom,(
% 60.75/14.56 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f4,axiom,(
% 60.75/14.56 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f5,axiom,(
% 60.75/14.56 (![X]: (add(X,additive_identity) = X ))),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f6,axiom,(
% 60.75/14.56 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f7,axiom,(
% 60.75/14.56 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f8,axiom,(
% 60.75/14.56 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f9,negated_conjecture,(
% 60.75/14.56 inverse(multiply(a,b)) != add(inverse(a),inverse(b)) ),
% 60.75/14.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 60.75/14.56 fof(f10,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f1])).
% 60.75/14.56 fof(f11,plain,(
% 60.75/14.56 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f2])).
% 60.75/14.56 fof(f12,plain,(
% 60.75/14.56 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f3])).
% 60.75/14.56 fof(f13,plain,(
% 60.75/14.56 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f4])).
% 60.75/14.56 fof(f14,plain,(
% 60.75/14.56 ![X0]: (add(X0,additive_identity)=X0)),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f5])).
% 60.75/14.56 fof(f15,plain,(
% 60.75/14.56 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f6])).
% 60.75/14.56 fof(f16,plain,(
% 60.75/14.56 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f7])).
% 60.75/14.56 fof(f17,plain,(
% 60.75/14.56 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f8])).
% 60.75/14.56 fof(f18,plain,(
% 60.75/14.56 ~inverse(multiply(a,b))=add(inverse(a),inverse(b))),
% 60.75/14.56 inference(cnf_transformation,[status(thm)],[f9])).
% 60.75/14.56 fof(f19,definition,(
% 60.75/14.56 sF1_fnc=multiply(a,b)),
% 60.75/14.56 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 60.75/14.56 fof(f20,definition,(
% 60.75/14.56 sF0_fnc=inverse(sF1_fnc)),
% 60.75/14.56 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 60.75/14.56 fof(f21,definition,(
% 60.75/14.56 sF3_fnc=inverse(a)),
% 60.75/14.56 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 60.75/14.56 fof(f22,definition,(
% 60.75/14.56 sF4_fnc=inverse(b)),
% 60.75/14.56 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 60.75/14.56 fof(f23,definition,(
% 60.75/14.56 sF2_fnc=add(sF3_fnc,sF4_fnc)),
% 60.75/14.56 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 60.75/14.56 fof(f24,plain,(
% 60.75/14.56 ~sF0_fnc=sF2_fnc),
% 60.75/14.56 inference(definition_folding,[],[f18,f23,f22,f21,f20,f19])).
% 60.75/14.56 fof(f25,plain,(
% 60.75/14.56 ![X0]: (X0=add(additive_identity,X0))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f14,f10])).
% 60.75/14.56 fof(f39,plain,(
% 60.75/14.56 ![X0]: (X0=multiply(multiplicative_identity,X0))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f15,f11])).
% 60.75/14.56 fof(f54,plain,(
% 60.75/14.56 add(b,sF4_fnc)=multiplicative_identity),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f22,f16])).
% 60.75/14.56 fof(f55,plain,(
% 60.75/14.56 add(a,sF3_fnc)=multiplicative_identity),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f21,f16])).
% 60.75/14.56 fof(f56,plain,(
% 60.75/14.56 add(sF1_fnc,sF0_fnc)=multiplicative_identity),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f20,f16])).
% 60.75/14.56 fof(f58,plain,(
% 60.75/14.56 add(sF0_fnc,sF1_fnc)=multiplicative_identity),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f10,f56])).
% 60.75/14.56 fof(f60,plain,(
% 60.75/14.56 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X2),add(X0,X1)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f11,f12])).
% 60.75/14.56 fof(f64,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=multiply(multiplicative_identity,add(X0,X1)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f16,f12])).
% 60.75/14.56 fof(f66,plain,(
% 60.75/14.56 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X1,X0),add(X0,X2)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f10,f12])).
% 60.75/14.56 fof(f68,plain,(
% 60.75/14.56 ![X0]: (add(sF3_fnc,multiply(X0,sF4_fnc))=multiply(add(sF3_fnc,X0),sF2_fnc))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f23,f12])).
% 60.75/14.56 fof(f70,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=multiply(add(X0,X1),multiplicative_identity))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f16,f12])).
% 60.75/14.56 fof(f71,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,multiply(X1,additive_identity))=multiply(add(X0,X1),X0))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f14,f12])).
% 60.75/14.56 fof(f72,plain,(
% 60.75/14.56 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X2,X0)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f10,f12])).
% 60.75/14.56 fof(f77,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=add(X0,X1))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f39,f64])).
% 60.75/14.56 fof(f78,plain,(
% 60.75/14.56 ![X0]: (add(sF3_fnc,multiply(X0,sF4_fnc))=multiply(sF2_fnc,add(sF3_fnc,X0)))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f68])).
% 60.75/14.56 fof(f80,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=add(X0,X1))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f15,f70])).
% 60.75/14.56 fof(f81,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,multiply(X1,additive_identity))=multiply(X0,add(X0,X1)))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f71])).
% 60.75/14.56 fof(f83,plain,(
% 60.75/14.56 ![X0]: (add(b,multiply(sF4_fnc,X0))=multiply(multiplicative_identity,add(b,X0)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f54,f12])).
% 60.75/14.56 fof(f85,plain,(
% 60.75/14.56 ![X0]: (add(b,multiply(sF4_fnc,X0))=add(b,X0))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f39,f83])).
% 60.75/14.56 fof(f87,plain,(
% 60.75/14.56 ![X0]: (add(a,multiply(sF3_fnc,X0))=multiply(multiplicative_identity,add(a,X0)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f55,f12])).
% 60.75/14.56 fof(f89,plain,(
% 60.75/14.56 ![X0]: (add(a,multiply(sF3_fnc,X0))=add(a,X0))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f39,f87])).
% 60.75/14.56 fof(f91,plain,(
% 60.75/14.56 ![X0]: (add(sF0_fnc,multiply(sF1_fnc,X0))=multiply(multiplicative_identity,add(sF0_fnc,X0)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f58,f12])).
% 60.75/14.56 fof(f93,plain,(
% 60.75/14.56 ![X0]: (add(sF0_fnc,multiply(sF1_fnc,X0))=add(sF0_fnc,X0))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f39,f91])).
% 60.75/14.56 fof(f105,plain,(
% 60.75/14.56 ![X0]: (multiply(a,add(b,X0))=add(sF1_fnc,multiply(a,X0)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f19,f13])).
% 60.75/14.56 fof(f106,plain,(
% 60.75/14.56 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=add(additive_identity,multiply(X0,X1)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f17,f13])).
% 60.75/14.56 fof(f107,plain,(
% 60.75/14.56 ![X0,X1]: (multiply(X0,add(multiplicative_identity,X1))=add(X0,multiply(X0,X1)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f15,f13])).
% 60.75/14.56 fof(f122,plain,(
% 60.75/14.56 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=multiply(X0,X1))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f25,f106])).
% 60.75/14.56 fof(f184,plain,(
% 60.75/14.56 ![X0]: (multiply(X0,multiplicative_identity)=multiply(X0,inverse(inverse(X0))))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f16,f122])).
% 60.75/14.56 fof(f185,plain,(
% 60.75/14.56 ![X0]: (multiply(X0,inverse(X0))=multiply(X0,additive_identity))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f14,f122])).
% 60.75/14.56 fof(f198,plain,(
% 60.75/14.56 ![X0]: (X0=multiply(X0,inverse(inverse(X0))))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f15,f184])).
% 60.75/14.56 fof(f199,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,additive_identity)=multiply(X0,add(X0,X1)))),
% 60.75/14.56 inference(backward_demodulation,[status(thm)],[f200,f81])).
% 60.75/14.56 fof(f200,plain,(
% 60.75/14.56 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f17,f185])).
% 60.75/14.56 fof(f209,plain,(
% 60.75/14.56 ![X0,X1]: (X0=multiply(X0,add(X0,X1)))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f14,f199])).
% 60.75/14.56 fof(f240,plain,(
% 60.75/14.56 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f39,f209])).
% 60.75/14.56 fof(f245,plain,(
% 60.75/14.56 sF3_fnc=multiply(sF3_fnc,sF2_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f23,f209])).
% 60.75/14.56 fof(f249,plain,(
% 60.75/14.56 ![X0,X1]: (X0=multiply(X0,add(X1,X0)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f10,f209])).
% 60.75/14.56 fof(f255,plain,(
% 60.75/14.56 ![X0,X1]: (multiply(X0,multiplicative_identity)=add(X0,multiply(X0,X1)))),
% 60.75/14.56 inference(backward_demodulation,[status(thm)],[f240,f107])).
% 60.75/14.56 fof(f256,plain,(
% 60.75/14.56 sF3_fnc=multiply(sF2_fnc,sF3_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f245])).
% 60.75/14.56 fof(f261,plain,(
% 60.75/14.56 ![X0,X1]: (X0=add(X0,multiply(X0,X1)))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f15,f255])).
% 60.75/14.56 fof(f350,plain,(
% 60.75/14.56 ![X0]: (add(X0,additive_identity)=add(X0,inverse(inverse(X0))))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f17,f77])).
% 60.75/14.56 fof(f372,plain,(
% 60.75/14.56 ![X0]: (X0=add(X0,inverse(inverse(X0))))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f14,f350])).
% 60.75/14.56 fof(f418,plain,(
% 60.75/14.56 ![X0,X1]: (add(X0,multiply(X0,X1))=add(X0,multiply(X1,X0)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f60,f66])).
% 60.75/14.56 fof(f456,plain,(
% 60.75/14.56 ![X0,X1]: (X0=add(X0,multiply(X1,X0)))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f261,f418])).
% 60.75/14.56 fof(f619,plain,(
% 60.75/14.56 sF2_fnc=add(sF2_fnc,sF3_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f256,f261])).
% 60.75/14.56 fof(f630,plain,(
% 60.75/14.56 a=add(a,sF1_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f19,f261])).
% 60.75/14.56 fof(f641,plain,(
% 60.75/14.56 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X0,multiply(inverse(X0),X1)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f261,f122])).
% 60.75/14.56 fof(f651,plain,(
% 60.75/14.56 ![X0,X1]: (additive_identity=multiply(X0,multiply(inverse(X0),X1)))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f17,f641])).
% 60.75/14.56 fof(f768,plain,(
% 60.75/14.56 sF1_fnc=multiply(sF1_fnc,a)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f630,f249])).
% 60.75/14.56 fof(f773,plain,(
% 60.75/14.56 sF4_fnc=multiply(sF4_fnc,sF2_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f23,f249])).
% 60.75/14.56 fof(f779,plain,(
% 60.75/14.56 ![X0]: (inverse(inverse(X0))=multiply(inverse(inverse(X0)),X0))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f372,f249])).
% 60.75/14.56 fof(f812,plain,(
% 60.75/14.56 sF1_fnc=multiply(a,sF1_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f768])).
% 60.75/14.56 fof(f831,plain,(
% 60.75/14.56 sF4_fnc=multiply(sF2_fnc,sF4_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f773])).
% 60.75/14.56 fof(f835,plain,(
% 60.75/14.56 ![X0]: (inverse(inverse(X0))=multiply(X0,inverse(inverse(X0))))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f779])).
% 60.75/14.56 fof(f848,plain,(
% 60.75/14.56 ![X0]: (inverse(inverse(X0))=X0)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f198,f835])).
% 60.75/14.56 fof(f903,plain,(
% 60.75/14.56 ![X0]: (add(sF3_fnc,multiply(X0,sF2_fnc))=multiply(add(sF3_fnc,X0),sF2_fnc))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f619,f72])).
% 60.75/14.56 fof(f960,plain,(
% 60.75/14.56 ![X0]: (add(sF3_fnc,multiply(X0,sF4_fnc))=add(sF3_fnc,multiply(X0,sF2_fnc)))),
% 60.75/14.56 inference(backward_demodulation,[status(thm)],[f961,f78])).
% 60.75/14.56 fof(f961,plain,(
% 60.75/14.56 ![X0]: (add(sF3_fnc,multiply(X0,sF2_fnc))=multiply(sF2_fnc,add(sF3_fnc,X0)))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f903])).
% 60.75/14.56 fof(f1167,plain,(
% 60.75/14.56 b=add(b,sF1_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f19,f456])).
% 60.75/14.56 fof(f1178,plain,(
% 60.75/14.56 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X0,multiply(X1,inverse(X0))))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f456,f122])).
% 60.75/14.56 fof(f1198,plain,(
% 60.75/14.56 ![X0,X1]: (additive_identity=multiply(X0,multiply(X1,inverse(X0))))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f17,f1178])).
% 60.75/14.56 fof(f1215,plain,(
% 60.75/14.56 sF1_fnc=multiply(sF1_fnc,b)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f1167,f249])).
% 60.75/14.56 fof(f1225,plain,(
% 60.75/14.56 sF1_fnc=multiply(b,sF1_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f1215])).
% 60.75/14.56 fof(f1254,plain,(
% 60.75/14.56 ![X0,X1]: (additive_identity=multiply(inverse(X0),multiply(X0,X1)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f848,f651])).
% 60.75/14.56 fof(f3109,plain,(
% 60.75/14.56 ![X0,X1]: (additive_identity=multiply(inverse(X0),multiply(X1,X0)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f848,f1198])).
% 60.75/14.56 fof(f3850,plain,(
% 60.75/14.56 additive_identity=multiply(inverse(sF2_fnc),sF4_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f831,f1254])).
% 60.75/14.56 fof(f3851,plain,(
% 60.75/14.56 additive_identity=multiply(inverse(sF2_fnc),sF3_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f256,f1254])).
% 60.75/14.56 fof(f3854,plain,(
% 60.75/14.56 additive_identity=multiply(inverse(b),sF1_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f1225,f1254])).
% 60.75/14.56 fof(f3863,plain,(
% 60.75/14.56 additive_identity=multiply(inverse(a),sF1_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f812,f1254])).
% 60.75/14.56 fof(f3906,plain,(
% 60.75/14.56 additive_identity=multiply(sF4_fnc,inverse(sF2_fnc))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f3850])).
% 60.75/14.56 fof(f3907,plain,(
% 60.75/14.56 additive_identity=multiply(sF3_fnc,inverse(sF2_fnc))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f3851])).
% 60.75/14.56 fof(f3908,plain,(
% 60.75/14.56 additive_identity=multiply(sF1_fnc,inverse(b))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f3854])).
% 60.75/14.56 fof(f3909,plain,(
% 60.75/14.56 additive_identity=multiply(sF1_fnc,sF4_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f22,f3908])).
% 60.75/14.56 fof(f3913,plain,(
% 60.75/14.56 additive_identity=multiply(sF1_fnc,inverse(a))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f3863])).
% 60.75/14.56 fof(f3914,plain,(
% 60.75/14.56 additive_identity=multiply(sF1_fnc,sF3_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f21,f3913])).
% 60.75/14.56 fof(f6811,plain,(
% 60.75/14.56 add(b,additive_identity)=add(b,inverse(sF2_fnc))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f3906,f85])).
% 60.75/14.56 fof(f6858,plain,(
% 60.75/14.56 b=add(b,inverse(sF2_fnc))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f14,f6811])).
% 60.75/14.56 fof(f6906,plain,(
% 60.75/14.56 multiply(a,b)=add(sF1_fnc,multiply(a,inverse(sF2_fnc)))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f6858,f105])).
% 60.75/14.56 fof(f6929,plain,(
% 60.75/14.56 sF1_fnc=add(sF1_fnc,multiply(a,inverse(sF2_fnc)))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f19,f6906])).
% 60.75/14.56 fof(f7561,plain,(
% 60.75/14.56 add(a,additive_identity)=add(a,inverse(sF2_fnc))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f3907,f89])).
% 60.75/14.56 fof(f7608,plain,(
% 60.75/14.56 a=add(a,inverse(sF2_fnc))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f14,f7561])).
% 60.75/14.56 fof(f7668,plain,(
% 60.75/14.56 inverse(sF2_fnc)=multiply(inverse(sF2_fnc),a)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f7608,f249])).
% 60.75/14.56 fof(f7695,plain,(
% 60.75/14.56 sF1_fnc=add(sF1_fnc,inverse(sF2_fnc))),
% 60.75/14.56 inference(backward_demodulation,[status(thm)],[f7696,f6929])).
% 60.75/14.56 fof(f7696,plain,(
% 60.75/14.56 inverse(sF2_fnc)=multiply(a,inverse(sF2_fnc))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f7668])).
% 60.75/14.56 fof(f8741,plain,(
% 60.75/14.56 ![X0,X1]: (additive_identity=multiply(inverse(add(X0,X1)),X1))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f249,f3109])).
% 60.75/14.56 fof(f8795,plain,(
% 60.75/14.56 ![X0,X1]: (additive_identity=multiply(X0,inverse(add(X1,X0))))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f8741])).
% 60.75/14.56 fof(f8841,plain,(
% 60.75/14.56 add(sF0_fnc,additive_identity)=add(sF0_fnc,sF3_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f3914,f93])).
% 60.75/14.56 fof(f8842,plain,(
% 60.75/14.56 add(sF0_fnc,additive_identity)=add(sF0_fnc,sF4_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f3909,f93])).
% 60.75/14.56 fof(f8891,plain,(
% 60.75/14.56 sF0_fnc=add(sF0_fnc,sF3_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f14,f8841])).
% 60.75/14.56 fof(f8892,plain,(
% 60.75/14.56 sF0_fnc=add(sF0_fnc,sF4_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f14,f8842])).
% 60.75/14.56 fof(f9018,plain,(
% 60.75/14.56 sF4_fnc=multiply(sF4_fnc,sF0_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f8892,f249])).
% 60.75/14.56 fof(f9047,plain,(
% 60.75/14.56 sF4_fnc=multiply(sF0_fnc,sF4_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f9018])).
% 60.75/14.56 fof(f9105,plain,(
% 60.75/14.56 add(sF3_fnc,sF4_fnc)=add(sF3_fnc,multiply(sF0_fnc,sF2_fnc))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f9047,f960])).
% 60.75/14.56 fof(f9130,plain,(
% 60.75/14.56 sF2_fnc=add(sF3_fnc,multiply(sF0_fnc,sF2_fnc))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f23,f9105])).
% 60.75/14.56 fof(f11203,plain,(
% 60.75/14.56 additive_identity=multiply(inverse(sF2_fnc),inverse(sF1_fnc))),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f7695,f8795])).
% 60.75/14.56 fof(f11330,plain,(
% 60.75/14.56 additive_identity=multiply(inverse(sF1_fnc),inverse(sF2_fnc))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f11,f11203])).
% 60.75/14.56 fof(f11331,plain,(
% 60.75/14.56 additive_identity=multiply(sF0_fnc,inverse(sF2_fnc))),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f20,f11330])).
% 60.75/14.56 fof(f11545,plain,(
% 60.75/14.56 add(sF2_fnc,additive_identity)=add(sF2_fnc,sF0_fnc)),
% 60.75/14.56 inference(paramodulation,[status(thm)],[f11331,f80])).
% 60.75/14.56 fof(f11571,plain,(
% 60.75/14.56 sF2_fnc=add(sF2_fnc,sF0_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f14,f11545])).
% 60.75/14.56 fof(f11572,plain,(
% 60.75/14.56 sF2_fnc=add(sF0_fnc,sF2_fnc)),
% 60.75/14.56 inference(forward_demodulation,[status(thm)],[f10,f11571])).
% 60.75/14.57 fof(f11630,plain,(
% 60.75/14.57 sF0_fnc=multiply(sF0_fnc,sF2_fnc)),
% 60.75/14.57 inference(paramodulation,[status(thm)],[f11572,f209])).
% 60.75/14.57 fof(f11651,plain,(
% 60.75/14.57 sF2_fnc=add(sF3_fnc,sF0_fnc)),
% 60.75/14.57 inference(backward_demodulation,[status(thm)],[f11630,f9130])).
% 60.75/14.57 fof(f11654,plain,(
% 60.75/14.57 sF2_fnc=add(sF0_fnc,sF3_fnc)),
% 60.75/14.57 inference(forward_demodulation,[status(thm)],[f10,f11651])).
% 60.75/14.57 fof(f11655,plain,(
% 60.75/14.57 sF2_fnc=sF0_fnc),
% 60.75/14.57 inference(forward_demodulation,[status(thm)],[f8891,f11654])).
% 60.75/14.57 fof(f11656,plain,(
% 60.75/14.57 $false),
% 60.75/14.57 inference(forward_subsumption_resolution,[status(thm)],[f11655,f24])).
% 60.75/14.57 % SZS output end CNFRefutation for theBenchmark.p
% 92.40/19.19 % Elapsed time: 18.566509 seconds
% 92.40/19.19 % CPU time: 132.230881 seconds
% 92.40/19.19 % Total memory used: 45.772 GB
% 92.40/19.19 % Net memory used: 45.759 GB
%------------------------------------------------------------------------------