%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO014-4 : 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 : n012.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 69.50s 26.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO014-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n012.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 13:48:03 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 % Drodi V4.1.1
% 69.50/26.21 % Refutation found
% 69.50/26.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 69.50/26.21 % SZS output start CNFRefutation for theBenchmark
% 69.50/26.21 fof(f1,axiom,(
% 69.50/26.21 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f2,axiom,(
% 69.50/26.21 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f3,axiom,(
% 69.50/26.21 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f4,axiom,(
% 69.50/26.21 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f5,axiom,(
% 69.50/26.21 (![X]: (add(X,additive_identity) = X ))),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f6,axiom,(
% 69.50/26.21 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f7,axiom,(
% 69.50/26.21 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f8,axiom,(
% 69.50/26.21 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f9,negated_conjecture,(
% 69.50/26.21 inverse(add(a,b)) != multiply(inverse(a),inverse(b)) ),
% 69.50/26.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 69.50/26.21 fof(f10,plain,(
% 69.50/26.21 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f1])).
% 69.50/26.21 fof(f11,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f2])).
% 69.50/26.21 fof(f12,plain,(
% 69.50/26.21 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f3])).
% 69.50/26.21 fof(f13,plain,(
% 69.50/26.21 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f4])).
% 69.50/26.21 fof(f14,plain,(
% 69.50/26.21 ![X0]: (add(X0,additive_identity)=X0)),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f5])).
% 69.50/26.21 fof(f15,plain,(
% 69.50/26.21 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f6])).
% 69.50/26.21 fof(f16,plain,(
% 69.50/26.21 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f7])).
% 69.50/26.21 fof(f17,plain,(
% 69.50/26.21 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f8])).
% 69.50/26.21 fof(f18,plain,(
% 69.50/26.21 ~inverse(add(a,b))=multiply(inverse(a),inverse(b))),
% 69.50/26.21 inference(cnf_transformation,[status(thm)],[f9])).
% 69.50/26.21 fof(f19,definition,(
% 69.50/26.21 sF1_fnc=add(a,b)),
% 69.50/26.21 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 69.50/26.21 fof(f20,definition,(
% 69.50/26.21 sF0_fnc=inverse(sF1_fnc)),
% 69.50/26.21 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 69.50/26.21 fof(f21,definition,(
% 69.50/26.21 sF3_fnc=inverse(a)),
% 69.50/26.21 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 69.50/26.21 fof(f22,definition,(
% 69.50/26.21 sF4_fnc=inverse(b)),
% 69.50/26.21 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 69.50/26.21 fof(f23,definition,(
% 69.50/26.21 sF2_fnc=multiply(sF3_fnc,sF4_fnc)),
% 69.50/26.21 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 69.50/26.21 fof(f24,plain,(
% 69.50/26.21 ~sF0_fnc=sF2_fnc),
% 69.50/26.21 inference(definition_folding,[],[f18,f23,f22,f21,f20,f19])).
% 69.50/26.21 fof(f33,plain,(
% 69.50/26.21 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X2),add(X0,X1)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f11,f12])).
% 69.50/26.21 fof(f35,plain,(
% 69.50/26.21 ![X0]: (add(a,multiply(b,X0))=multiply(sF1_fnc,add(a,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f19,f12])).
% 69.50/26.21 fof(f36,plain,(
% 69.50/26.21 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X1,X0),add(X0,X2)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f10,f12])).
% 69.50/26.21 fof(f44,plain,(
% 69.50/26.21 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X2),multiply(X0,X1)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f10,f13])).
% 69.50/26.21 fof(f46,plain,(
% 69.50/26.21 ![X0,X1,X2,X3]: (multiply(add(X0,X1),add(add(X0,X2),X3))=add(add(X0,multiply(X1,X2)),multiply(add(X0,X1),X3)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f12,f13])).
% 69.50/26.21 fof(f47,plain,(
% 69.50/26.21 ![X0]: (multiply(sF3_fnc,add(sF4_fnc,X0))=add(sF2_fnc,multiply(sF3_fnc,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f23,f13])).
% 69.50/26.21 fof(f51,plain,(
% 69.50/26.21 ![X0]: (multiply(sF3_fnc,add(X0,sF4_fnc))=add(multiply(sF3_fnc,X0),sF2_fnc))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f23,f13])).
% 69.50/26.21 fof(f58,plain,(
% 69.50/26.21 ![X0]: (multiply(sF3_fnc,add(X0,sF4_fnc))=add(sF2_fnc,multiply(sF3_fnc,X0)))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f10,f51])).
% 69.50/26.21 fof(f59,plain,(
% 69.50/26.21 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=add(X0,multiply(X2,X1)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f12,f33])).
% 69.50/26.21 fof(f79,plain,(
% 69.50/26.21 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=add(X2,multiply(X1,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f10,f59])).
% 69.50/26.21 fof(f184,plain,(
% 69.50/26.21 ![X0]: (add(additive_identity,X0)=X0)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f10,f14])).
% 69.50/26.21 fof(f198,plain,(
% 69.50/26.21 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f11,f15])).
% 69.50/26.21 fof(f250,plain,(
% 69.50/26.21 add(b,sF4_fnc)=multiplicative_identity),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f22,f16])).
% 69.50/26.21 fof(f251,plain,(
% 69.50/26.21 add(a,sF3_fnc)=multiplicative_identity),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f21,f16])).
% 69.50/26.21 fof(f254,plain,(
% 69.50/26.21 add(a,multiply(b,inverse(a)))=multiply(sF1_fnc,multiplicative_identity)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f16,f35])).
% 69.50/26.21 fof(f255,plain,(
% 69.50/26.21 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=multiply(add(X0,X1),multiplicative_identity))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f16,f33])).
% 69.50/26.21 fof(f256,plain,(
% 69.50/26.21 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=multiply(multiplicative_identity,add(X0,X1)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f16,f33])).
% 69.50/26.21 fof(f260,plain,(
% 69.50/26.21 add(a,multiply(b,sF3_fnc))=multiply(sF1_fnc,multiplicative_identity)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f21,f254])).
% 69.50/26.21 fof(f261,plain,(
% 69.50/26.21 add(a,multiply(b,sF3_fnc))=sF1_fnc),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f15,f260])).
% 69.50/26.21 fof(f262,plain,(
% 69.50/26.21 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=add(X0,X1))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f15,f255])).
% 69.50/26.21 fof(f263,plain,(
% 69.50/26.21 ![X0,X1]: (add(X0,multiply(X1,inverse(X0)))=add(X0,X1))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f198,f256])).
% 69.50/26.21 fof(f269,plain,(
% 69.50/26.21 multiply(b,sF4_fnc)=additive_identity),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f22,f17])).
% 69.50/26.21 fof(f270,plain,(
% 69.50/26.21 multiply(a,sF3_fnc)=additive_identity),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f21,f17])).
% 69.50/26.21 fof(f275,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(X1,inverse(X0)))=add(multiply(X0,X1),additive_identity))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f17,f13])).
% 69.50/26.21 fof(f276,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=add(additive_identity,multiply(X0,X1)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f17,f13])).
% 69.50/26.21 fof(f284,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(X1,inverse(X0)))=add(additive_identity,multiply(X1,X0)))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f79,f275])).
% 69.50/26.21 fof(f285,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(X1,inverse(X0)))=multiply(X1,X0))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f184,f284])).
% 69.50/26.21 fof(f286,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=multiply(X0,X1))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f184,f276])).
% 69.50/26.21 fof(f311,plain,(
% 69.50/26.21 ![X0]: (add(sF4_fnc,multiply(b,X0))=multiply(multiplicative_identity,add(sF4_fnc,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f250,f36])).
% 69.50/26.21 fof(f315,plain,(
% 69.50/26.21 ![X0]: (add(sF3_fnc,multiply(a,X0))=multiply(multiplicative_identity,add(sF3_fnc,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f251,f36])).
% 69.50/26.21 fof(f316,plain,(
% 69.50/26.21 ![X0]: (add(b,multiply(a,X0))=multiply(sF1_fnc,add(b,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f19,f36])).
% 69.50/26.21 fof(f347,plain,(
% 69.50/26.21 ![X0]: (add(sF4_fnc,multiply(b,X0))=add(sF4_fnc,X0))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f198,f311])).
% 69.50/26.21 fof(f349,plain,(
% 69.50/26.21 ![X0]: (add(sF3_fnc,multiply(a,X0))=add(sF3_fnc,X0))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f198,f315])).
% 69.50/26.21 fof(f405,plain,(
% 69.50/26.21 ![X0]: (multiply(b,add(sF4_fnc,X0))=add(additive_identity,multiply(b,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f269,f13])).
% 69.50/26.21 fof(f414,plain,(
% 69.50/26.21 ![X0]: (multiply(b,add(sF4_fnc,X0))=multiply(b,X0))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f184,f405])).
% 69.50/26.21 fof(f418,plain,(
% 69.50/26.21 ![X0]: (multiply(a,add(sF3_fnc,X0))=add(additive_identity,multiply(a,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f270,f13])).
% 69.50/26.21 fof(f427,plain,(
% 69.50/26.21 ![X0]: (multiply(a,add(sF3_fnc,X0))=multiply(a,X0))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f184,f418])).
% 69.50/26.21 fof(f492,plain,(
% 69.50/26.21 ![X0]: (add(X0,additive_identity)=add(X0,inverse(inverse(X0))))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f17,f262])).
% 69.50/26.21 fof(f493,plain,(
% 69.50/26.21 ![X0]: (add(X0,inverse(X0))=add(X0,multiplicative_identity))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f15,f262])).
% 69.50/26.21 fof(f515,plain,(
% 69.50/26.21 ![X0]: (X0=add(X0,inverse(inverse(X0))))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f14,f492])).
% 69.50/26.21 fof(f516,plain,(
% 69.50/26.21 ![X0]: (multiplicative_identity=add(X0,multiplicative_identity))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f16,f493])).
% 69.50/26.21 fof(f534,plain,(
% 69.50/26.21 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f10,f516])).
% 69.50/26.21 fof(f536,plain,(
% 69.50/26.21 multiply(sF3_fnc,multiplicative_identity)=add(sF2_fnc,multiply(sF3_fnc,multiplicative_identity))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f516,f47])).
% 69.50/26.21 fof(f549,plain,(
% 69.50/26.21 sF3_fnc=add(sF2_fnc,multiply(sF3_fnc,multiplicative_identity))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f15,f536])).
% 69.50/26.21 fof(f550,plain,(
% 69.50/26.21 sF3_fnc=add(sF2_fnc,multiply(multiplicative_identity,sF3_fnc))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f59,f549])).
% 69.50/26.21 fof(f551,plain,(
% 69.50/26.21 sF3_fnc=add(sF2_fnc,sF3_fnc)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f198,f550])).
% 69.50/26.21 fof(f775,plain,(
% 69.50/26.21 ![X0]: (add(X0,additive_identity)=add(X0,X0))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f17,f263])).
% 69.50/26.21 fof(f804,plain,(
% 69.50/26.21 ![X0]: (X0=add(X0,X0))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f14,f775])).
% 69.50/26.21 fof(f1037,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(X1,multiplicative_identity))=add(X0,multiply(X0,X1)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f15,f44])).
% 69.50/26.21 fof(f1057,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(multiplicative_identity,X1))=add(multiply(X0,X1),X0))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f15,f44])).
% 69.50/26.21 fof(f1090,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,multiplicative_identity)=add(X0,multiply(X0,X1)))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f516,f1037])).
% 69.50/26.21 fof(f1091,plain,(
% 69.50/26.21 ![X0,X1]: (X0=add(X0,multiply(X0,X1)))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f15,f1090])).
% 69.50/26.21 fof(f1110,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,multiplicative_identity)=add(multiply(X0,X1),X0))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f534,f1057])).
% 69.50/26.21 fof(f1111,plain,(
% 69.50/26.21 ![X0,X1]: (X0=add(multiply(X0,X1),X0))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f15,f1110])).
% 69.50/26.21 fof(f1112,plain,(
% 69.50/26.21 ![X0,X1]: (X0=add(X0,multiply(X1,X0)))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f79,f1111])).
% 69.50/26.21 fof(f1344,plain,(
% 69.50/26.21 sF4_fnc=add(sF4_fnc,sF2_fnc)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f23,f1112])).
% 69.50/26.21 fof(f1374,plain,(
% 69.50/26.21 sF4_fnc=add(sF2_fnc,sF4_fnc)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f10,f1344])).
% 69.50/26.21 fof(f1405,plain,(
% 69.50/26.21 ![X0,X1,X2]: (multiply(add(X0,X0),add(add(X0,X1),X2))=add(X0,multiply(add(X0,X0),X2)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f1091,f46])).
% 69.50/26.21 fof(f1534,plain,(
% 69.50/26.21 ![X0,X1,X2]: (multiply(X0,add(add(X0,X1),X2))=add(X0,multiply(add(X0,X0),X2)))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f804,f1405])).
% 69.50/26.21 fof(f1535,plain,(
% 69.50/26.21 ![X0,X1,X2]: (multiply(X0,add(add(X0,X1),X2))=add(X0,multiply(X0,X2)))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f804,f1534])).
% 69.50/26.21 fof(f1536,plain,(
% 69.50/26.21 ![X0,X1,X2]: (multiply(X0,add(add(X0,X1),X2))=X0)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f1091,f1535])).
% 69.50/26.21 fof(f1642,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(add(X0,X1),X0)=X0)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f285,f1536])).
% 69.50/26.21 fof(f1711,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(X0,X1))=X0)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f11,f1642])).
% 69.50/26.21 fof(f1758,plain,(
% 69.50/26.21 multiply(a,sF1_fnc)=a),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f261,f1711])).
% 69.50/26.21 fof(f1773,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,add(X1,X0))=X0)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f10,f1711])).
% 69.50/26.21 fof(f1776,plain,(
% 69.50/26.21 ![X0,X1]: (add(X0,inverse(X0))=add(X0,add(inverse(X0),X1)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f1711,f262])).
% 69.50/26.21 fof(f1795,plain,(
% 69.50/26.21 ![X0,X1]: (multiplicative_identity=add(X0,add(inverse(X0),X1)))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f16,f1776])).
% 69.50/26.21 fof(f2357,plain,(
% 69.50/26.21 multiply(b,sF1_fnc)=b),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f19,f1773])).
% 69.50/26.21 fof(f2373,plain,(
% 69.50/26.21 ![X0,X1]: (add(X0,inverse(X0))=add(X0,add(X1,inverse(X0))))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f1773,f262])).
% 69.50/26.21 fof(f2416,plain,(
% 69.50/26.21 ![X0,X1]: (multiplicative_identity=add(X0,add(X1,inverse(X0))))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f16,f2373])).
% 69.50/26.21 fof(f5600,plain,(
% 69.50/26.21 ![X0]: (multiply(X0,multiplicative_identity)=multiply(X0,inverse(inverse(X0))))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f16,f286])).
% 69.50/26.21 fof(f5604,plain,(
% 69.50/26.21 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X0,multiply(X1,inverse(X0))))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f1112,f286])).
% 69.50/26.21 fof(f5665,plain,(
% 69.50/26.21 ![X0]: (X0=multiply(X0,inverse(inverse(X0))))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f15,f5600])).
% 69.50/26.21 fof(f5669,plain,(
% 69.50/26.21 ![X0,X1]: (additive_identity=multiply(X0,multiply(X1,inverse(X0))))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f17,f5604])).
% 69.50/26.21 fof(f6193,plain,(
% 69.50/26.21 ![X0]: (inverse(inverse(X0))=add(inverse(inverse(X0)),X0))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f5665,f1112])).
% 69.50/26.21 fof(f6221,plain,(
% 69.50/26.21 ![X0]: (inverse(inverse(X0))=add(X0,inverse(inverse(X0))))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f10,f6193])).
% 69.50/26.21 fof(f6222,plain,(
% 69.50/26.21 ![X0]: (inverse(inverse(X0))=X0)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f515,f6221])).
% 69.50/26.21 fof(f6240,plain,(
% 69.50/26.21 inverse(sF0_fnc)=sF1_fnc),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f20,f6222])).
% 69.50/26.21 fof(f6242,plain,(
% 69.50/26.21 ![X0,X1]: (multiplicative_identity=add(inverse(X0),add(X1,X0)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f6222,f2416])).
% 69.50/26.21 fof(f6243,plain,(
% 69.50/26.21 ![X0,X1]: (multiplicative_identity=add(inverse(X0),add(X0,X1)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f6222,f1795])).
% 69.50/26.21 fof(f9956,plain,(
% 69.50/26.21 ![X0]: (additive_identity=multiply(sF0_fnc,multiply(X0,sF1_fnc)))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f6240,f5669])).
% 69.50/26.21 fof(f10492,plain,(
% 69.50/26.21 ![X0,X1]: (multiplicative_identity=add(inverse(multiply(X0,X1)),X1))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f1112,f6242])).
% 69.50/26.21 fof(f10564,plain,(
% 69.50/26.21 ![X0,X1]: (multiplicative_identity=add(X0,inverse(multiply(X1,X0))))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f10,f10492])).
% 69.50/26.21 fof(f10713,plain,(
% 69.50/26.21 multiplicative_identity=add(inverse(sF2_fnc),sF4_fnc)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f1374,f6243])).
% 69.50/26.21 fof(f10714,plain,(
% 69.50/26.21 multiplicative_identity=add(inverse(sF2_fnc),sF3_fnc)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f551,f6243])).
% 69.50/26.21 fof(f10805,plain,(
% 69.50/26.21 multiplicative_identity=add(sF4_fnc,inverse(sF2_fnc))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f10,f10713])).
% 69.50/26.21 fof(f10806,plain,(
% 69.50/26.21 multiplicative_identity=add(sF3_fnc,inverse(sF2_fnc))),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f10,f10714])).
% 69.50/26.21 fof(f13035,plain,(
% 69.50/26.21 additive_identity=multiply(sF0_fnc,a)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f1758,f9956])).
% 69.50/26.21 fof(f13036,plain,(
% 69.50/26.21 additive_identity=multiply(sF0_fnc,b)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f2357,f9956])).
% 69.50/26.21 fof(f13075,plain,(
% 69.50/26.21 additive_identity=multiply(a,sF0_fnc)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f11,f13035])).
% 69.50/26.21 fof(f13076,plain,(
% 69.50/26.21 additive_identity=multiply(b,sF0_fnc)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f11,f13036])).
% 69.50/26.21 fof(f13205,plain,(
% 69.50/26.21 add(sF4_fnc,additive_identity)=add(sF4_fnc,sF0_fnc)),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f13076,f347])).
% 69.50/26.21 fof(f13237,plain,(
% 69.50/26.21 sF4_fnc=add(sF4_fnc,sF0_fnc)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f14,f13205])).
% 69.50/26.21 fof(f13238,plain,(
% 69.50/26.21 sF4_fnc=add(sF0_fnc,sF4_fnc)),
% 69.50/26.21 inference(forward_demodulation,[status(thm)],[f10,f13237])).
% 69.50/26.21 fof(f13291,plain,(
% 69.50/26.21 multiply(sF3_fnc,sF4_fnc)=add(sF2_fnc,multiply(sF3_fnc,sF0_fnc))),
% 69.50/26.21 inference(paramodulation,[status(thm)],[f13238,f58])).
% 69.50/26.21 fof(f13324,plain,(
% 69.50/26.21 sF2_fnc=add(sF2_fnc,multiply(sF3_fnc,sF0_fnc))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f23,f13291])).
% 69.50/26.22 fof(f13325,plain,(
% 69.50/26.22 sF2_fnc=add(sF2_fnc,multiply(sF0_fnc,sF3_fnc))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f59,f13324])).
% 69.50/26.22 fof(f13514,plain,(
% 69.50/26.22 add(sF3_fnc,additive_identity)=add(sF3_fnc,sF0_fnc)),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f13075,f349])).
% 69.50/26.22 fof(f13587,plain,(
% 69.50/26.22 sF3_fnc=add(sF3_fnc,sF0_fnc)),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f14,f13514])).
% 69.50/26.22 fof(f13588,plain,(
% 69.50/26.22 sF3_fnc=add(sF0_fnc,sF3_fnc)),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f10,f13587])).
% 69.50/26.22 fof(f13698,plain,(
% 69.50/26.22 multiply(sF0_fnc,sF3_fnc)=sF0_fnc),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f13588,f1711])).
% 69.50/26.22 fof(f16459,plain,(
% 69.50/26.22 ![X0,X1]: (multiply(X0,multiplicative_identity)=multiply(X0,inverse(multiply(X1,inverse(X0)))))),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f10564,f286])).
% 69.50/26.22 fof(f16586,plain,(
% 69.50/26.22 ![X0,X1]: (X0=multiply(X0,inverse(multiply(X1,inverse(X0)))))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f15,f16459])).
% 69.50/26.22 fof(f24303,plain,(
% 69.50/26.22 multiply(b,multiplicative_identity)=multiply(b,inverse(sF2_fnc))),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f10805,f414])).
% 69.50/26.22 fof(f24395,plain,(
% 69.50/26.22 b=multiply(b,inverse(sF2_fnc))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f15,f24303])).
% 69.50/26.22 fof(f24523,plain,(
% 69.50/26.22 inverse(sF2_fnc)=add(inverse(sF2_fnc),b)),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f24395,f1112])).
% 69.50/26.22 fof(f24573,plain,(
% 69.50/26.22 inverse(sF2_fnc)=add(b,inverse(sF2_fnc))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f10,f24523])).
% 69.50/26.22 fof(f26502,plain,(
% 69.50/26.22 multiply(a,multiplicative_identity)=multiply(a,inverse(sF2_fnc))),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f10806,f427])).
% 69.50/26.22 fof(f26593,plain,(
% 69.50/26.22 a=multiply(a,inverse(sF2_fnc))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f15,f26502])).
% 69.50/26.22 fof(f29908,plain,(
% 69.50/26.22 sF2_fnc=add(sF2_fnc,sF0_fnc)),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f13698,f13325])).
% 69.50/26.22 fof(f29909,plain,(
% 69.50/26.22 sF2_fnc=add(sF0_fnc,sF2_fnc)),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f10,f29908])).
% 69.50/26.22 fof(f29941,plain,(
% 69.50/26.22 multiply(sF0_fnc,sF2_fnc)=sF0_fnc),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f29909,f1711])).
% 69.50/26.22 fof(f33486,plain,(
% 69.50/26.22 add(b,multiply(a,inverse(sF2_fnc)))=multiply(sF1_fnc,inverse(sF2_fnc))),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f24573,f316])).
% 69.50/26.22 fof(f33532,plain,(
% 69.50/26.22 add(b,a)=multiply(sF1_fnc,inverse(sF2_fnc))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f26593,f33486])).
% 69.50/26.22 fof(f33533,plain,(
% 69.50/26.22 add(a,b)=multiply(sF1_fnc,inverse(sF2_fnc))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f10,f33532])).
% 69.50/26.22 fof(f33534,plain,(
% 69.50/26.22 sF1_fnc=multiply(sF1_fnc,inverse(sF2_fnc))),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f19,f33533])).
% 69.50/26.22 fof(f33576,plain,(
% 69.50/26.22 sF2_fnc=multiply(sF2_fnc,inverse(sF1_fnc))),
% 69.50/26.22 inference(paramodulation,[status(thm)],[f33534,f16586])).
% 69.50/26.22 fof(f33626,plain,(
% 69.50/26.22 sF2_fnc=multiply(sF2_fnc,sF0_fnc)),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f20,f33576])).
% 69.50/26.22 fof(f33627,plain,(
% 69.50/26.22 sF2_fnc=multiply(sF0_fnc,sF2_fnc)),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f11,f33626])).
% 69.50/26.22 fof(f33628,plain,(
% 69.50/26.22 sF2_fnc=sF0_fnc),
% 69.50/26.22 inference(forward_demodulation,[status(thm)],[f29941,f33627])).
% 69.50/26.22 fof(f33629,plain,(
% 69.50/26.22 $false),
% 69.50/26.22 inference(forward_subsumption_resolution,[status(thm)],[f33628,f24])).
% 69.50/26.22 % SZS output end CNFRefutation for theBenchmark.p
% 20.43/26.27 % Elapsed time: 15.897360 seconds
% 20.43/26.27 % CPU time: 126.105602 seconds
% 20.43/26.27 % Total memory used: 52.036 GB
% 20.43/26.27 % Net memory used: 52.017 GB
%------------------------------------------------------------------------------