%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP665-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:37:07 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP665-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n011.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 20 20:30:41 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 0.16/0.45 % Refutation found
% 0.16/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.45 fof(f2,axiom,(
% 0.16/0.45 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 0.16/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f3,axiom,(
% 0.16/0.45 (![A,B]: (mult(rd(A,B),B) = A ))),
% 0.16/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f7,axiom,(
% 0.16/0.45 (![A,B,C]: (mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)) ))),
% 0.16/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f8,axiom,(
% 0.16/0.45 (![A,B,C]: (mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))) ))),
% 0.16/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f9,axiom,(
% 0.16/0.45 (![A]: (mult(op_c,A) = mult(A,op_c) ))),
% 0.16/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f10,negated_conjecture,(
% 0.16/0.45 mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1) ),
% 0.16/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f12,plain,(
% 0.16/0.45 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.16/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.45 fof(f13,plain,(
% 0.16/0.45 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.16/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.45 fof(f17,plain,(
% 0.16/0.45 ![X0,X1,X2]: (mult(X0,mult(X1,X2))=mult(rd(mult(X0,X1),X0),mult(X0,X2)))),
% 0.16/0.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.45 fof(f18,plain,(
% 0.16/0.45 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(mult(X0,X2),ld(X2,mult(X1,X2))))),
% 0.16/0.45 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.45 fof(f19,plain,(
% 0.16/0.45 ![X0]: (mult(op_c,X0)=mult(X0,op_c))),
% 0.16/0.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.45 fof(f20,plain,(
% 0.16/0.45 ~mult(op_c,mult(x0,x1))=mult(mult(op_c,x0),x1)),
% 0.16/0.45 inference(cnf_transformation,[status(thm)],[f10])).
% 0.16/0.45 fof(f21,definition,(
% 0.16/0.45 sF1_fnc=mult(x0,x1)),
% 0.16/0.45 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.16/0.45 fof(f22,definition,(
% 0.16/0.45 sF0_fnc=mult(op_c,sF1_fnc)),
% 0.16/0.45 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.16/0.45 fof(f23,definition,(
% 0.16/0.45 sF3_fnc=mult(op_c,x0)),
% 0.16/0.45 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.16/0.45 fof(f24,definition,(
% 0.16/0.45 sF2_fnc=mult(sF3_fnc,x1)),
% 0.16/0.45 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.16/0.45 fof(f25,plain,(
% 0.16/0.45 ~sF0_fnc=sF2_fnc),
% 0.16/0.45 inference(definition_folding,[],[f20,f24,f23,f22,f21])).
% 0.16/0.45 fof(f26,plain,(
% 0.16/0.45 sF3_fnc=mult(x0,op_c)),
% 0.16/0.45 inference(forward_demodulation,[status(thm)],[f19,f23])).
% 0.16/0.45 fof(f37,plain,(
% 0.16/0.45 ![X0]: (mult(op_c,rd(X0,op_c))=X0)),
% 0.16/0.45 inference(paramodulation,[status(thm)],[f19,f13])).
% 0.16/0.45 fof(f45,plain,(
% 0.16/0.45 ![X0]: (ld(op_c,X0)=rd(X0,op_c))),
% 0.16/0.45 inference(paramodulation,[status(thm)],[f37,f12])).
% 0.16/0.45 fof(f47,plain,(
% 0.16/0.45 ![X0]: (ld(op_c,mult(X0,op_c))=X0)),
% 0.16/0.45 inference(paramodulation,[status(thm)],[f19,f12])).
% 0.16/0.45 fof(f184,plain,(
% 0.16/0.45 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(rd(mult(op_c,X0),op_c),mult(X1,op_c)))),
% 0.16/0.45 inference(paramodulation,[status(thm)],[f19,f17])).
% 0.16/0.45 fof(f213,plain,(
% 0.16/0.45 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(ld(op_c,mult(op_c,X0)),mult(X1,op_c)))),
% 0.16/0.45 inference(forward_demodulation,[status(thm)],[f45,f184])).
% 0.16/0.45 fof(f214,plain,(
% 0.16/0.45 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(X0,mult(X1,op_c)))),
% 0.16/0.45 inference(forward_demodulation,[status(thm)],[f12,f213])).
% 0.16/0.45 fof(f271,plain,(
% 0.16/0.45 ![X0]: (mult(mult(x0,X0),op_c)=mult(sF3_fnc,ld(op_c,mult(X0,op_c))))),
% 0.16/0.45 inference(paramodulation,[status(thm)],[f26,f18])).
% 0.16/0.45 fof(f297,plain,(
% 0.16/0.45 ![X0]: (mult(op_c,mult(x0,X0))=mult(sF3_fnc,ld(op_c,mult(X0,op_c))))),
% 0.16/0.45 inference(forward_demodulation,[status(thm)],[f19,f271])).
% 0.16/0.45 fof(f298,plain,(
% 0.16/0.45 ![X0]: (mult(x0,mult(X0,op_c))=mult(sF3_fnc,ld(op_c,mult(X0,op_c))))),
% 0.16/0.45 inference(forward_demodulation,[status(thm)],[f214,f297])).
% 0.16/0.45 fof(f299,plain,(
% 0.16/0.45 ![X0]: (mult(x0,mult(X0,op_c))=mult(sF3_fnc,X0))),
% 0.16/0.45 inference(forward_demodulation,[status(thm)],[f47,f298])).
% 0.16/0.45 fof(f387,plain,(
% 0.16/0.45 mult(op_c,sF1_fnc)=mult(x0,mult(x1,op_c))),
% 0.16/0.45 inference(paramodulation,[status(thm)],[f21,f214])).
% 0.16/0.45 fof(f418,plain,(
% 0.16/0.45 sF0_fnc=mult(x0,mult(x1,op_c))),
% 0.16/0.45 inference(forward_demodulation,[status(thm)],[f22,f387])).
% 0.16/0.45 fof(f419,plain,(
% 0.16/0.45 sF2_fnc=sF0_fnc),
% 0.16/0.45 inference(backward_demodulation,[status(thm)],[f420,f24])).
% 0.16/0.45 fof(f420,plain,(
% 0.16/0.46 sF0_fnc=mult(sF3_fnc,x1)),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f299,f418])).
% 0.16/0.46 fof(f441,plain,(
% 0.16/0.46 $false),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f419,f25])).
% 0.16/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.52 % Elapsed time: 0.089439 seconds
% 0.16/0.52 % CPU time: 0.114357 seconds
% 0.16/0.52 % Total memory used: 3.356 MB
% 0.16/0.52 % Net memory used: 3.324 MB
%------------------------------------------------------------------------------