%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP715-10 : 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 12:37:14 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP715-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:35:09 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f6,axiom,(
% 0.13/0.41 (![A,B,C]: (mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f7,axiom,(
% 0.13/0.41 (![A,B]: (mult(A,mult(B,B)) = mult(mult(A,B),B) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f8,axiom,(
% 0.13/0.41 (![A]: (mult(A,unit) = A ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f9,axiom,(
% 0.13/0.41 (![A]: (mult(unit,A) = A ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f10,axiom,(
% 0.13/0.41 mult(op_a,op_b) = unit ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f11,axiom,(
% 0.13/0.41 mult(op_b,op_a) = unit ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f12,negated_conjecture,(
% 0.13/0.41 mult(mult(x0,op_a),op_b) != x0 ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f18,plain,(
% 0.13/0.41 ![X0,X1,X2]: (mult(mult(mult(X0,X1),X2),X1)=mult(X0,mult(mult(X1,X2),X1)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.41 fof(f19,plain,(
% 0.13/0.41 ![X0,X1]: (mult(X0,mult(X1,X1))=mult(mult(X0,X1),X1))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.41 fof(f20,plain,(
% 0.13/0.41 ![X0]: (mult(X0,unit)=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.41 fof(f21,plain,(
% 0.13/0.41 ![X0]: (mult(unit,X0)=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.41 fof(f22,plain,(
% 0.13/0.41 mult(op_a,op_b)=unit),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.41 fof(f23,plain,(
% 0.13/0.41 mult(op_b,op_a)=unit),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.41 fof(f24,plain,(
% 0.13/0.41 ~mult(mult(x0,op_a),op_b)=x0),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.41 fof(f25,definition,(
% 0.13/0.41 sF1_fnc=mult(x0,op_a)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.13/0.41 fof(f26,definition,(
% 0.13/0.41 sF0_fnc=mult(sF1_fnc,op_b)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.41 fof(f27,plain,(
% 0.13/0.41 ~sF0_fnc=x0),
% 0.13/0.41 inference(definition_folding,[],[f24,f26,f25])).
% 0.13/0.42 fof(f29,plain,(
% 0.13/0.42 mult(op_b,mult(op_a,op_a))=mult(unit,op_a)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f23,f19])).
% 0.13/0.42 fof(f30,plain,(
% 0.13/0.42 mult(op_a,mult(op_b,op_b))=mult(unit,op_b)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f22,f19])).
% 0.13/0.42 fof(f31,plain,(
% 0.13/0.42 mult(sF1_fnc,mult(op_b,op_b))=mult(sF0_fnc,op_b)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f26,f19])).
% 0.13/0.42 fof(f49,plain,(
% 0.13/0.42 ![X0]: (mult(mult(sF1_fnc,X0),op_a)=mult(x0,mult(mult(op_a,X0),op_a)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f25,f18])).
% 0.13/0.42 fof(f357,plain,(
% 0.13/0.42 mult(op_a,mult(op_b,op_b))=op_b),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f21,f30])).
% 0.13/0.42 fof(f358,plain,(
% 0.13/0.42 mult(op_b,mult(op_a,op_a))=op_a),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f21,f29])).
% 0.13/0.42 fof(f727,plain,(
% 0.13/0.42 mult(mult(sF1_fnc,mult(op_b,op_b)),op_a)=mult(x0,mult(op_b,op_a))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f357,f49])).
% 0.13/0.42 fof(f742,plain,(
% 0.13/0.42 mult(mult(sF0_fnc,op_b),op_a)=mult(x0,mult(op_b,op_a))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f31,f727])).
% 0.13/0.42 fof(f743,plain,(
% 0.13/0.42 mult(mult(sF0_fnc,op_b),op_a)=mult(x0,unit)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f23,f742])).
% 0.13/0.42 fof(f744,plain,(
% 0.13/0.42 mult(mult(sF0_fnc,op_b),op_a)=x0),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f20,f743])).
% 0.13/0.42 fof(f751,plain,(
% 0.13/0.42 mult(x0,op_b)=mult(sF0_fnc,mult(mult(op_b,op_a),op_b))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f744,f18])).
% 0.13/0.42 fof(f758,plain,(
% 0.13/0.42 mult(mult(sF0_fnc,op_b),mult(op_a,op_a))=mult(x0,op_a)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f744,f19])).
% 0.13/0.42 fof(f759,plain,(
% 0.13/0.42 mult(x0,op_b)=mult(sF0_fnc,mult(unit,op_b))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f23,f751])).
% 0.13/0.42 fof(f760,plain,(
% 0.13/0.42 mult(x0,op_b)=mult(sF0_fnc,op_b)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f21,f759])).
% 0.13/0.42 fof(f763,plain,(
% 0.13/0.42 mult(mult(sF0_fnc,op_b),mult(op_a,op_a))=sF1_fnc),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f25,f758])).
% 0.13/0.42 fof(f789,plain,(
% 0.13/0.42 mult(mult(x0,op_b),mult(op_a,op_a))=sF1_fnc),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f760,f763])).
% 0.13/0.43 fof(f790,plain,(
% 0.13/0.43 mult(sF1_fnc,op_b)=mult(x0,mult(mult(op_b,mult(op_a,op_a)),op_b))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f789,f18])).
% 0.13/0.43 fof(f800,plain,(
% 0.13/0.43 sF0_fnc=mult(x0,mult(mult(op_b,mult(op_a,op_a)),op_b))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f26,f790])).
% 0.13/0.43 fof(f801,plain,(
% 0.13/0.43 sF0_fnc=mult(x0,mult(op_a,op_b))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f358,f800])).
% 0.13/0.43 fof(f802,plain,(
% 0.13/0.43 sF0_fnc=mult(x0,unit)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f22,f801])).
% 0.13/0.43 fof(f803,plain,(
% 0.13/0.43 sF0_fnc=x0),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f20,f802])).
% 0.13/0.43 fof(f804,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f803,f27])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.082604 seconds
% 0.13/0.44 % CPU time: 0.505468 seconds
% 0.13/0.44 % Total memory used: 23.440 MB
% 0.13/0.44 % Net memory used: 23.187 MB
%------------------------------------------------------------------------------