%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP715-11 : 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 : n003.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 0.14s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP715-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n003.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sun Sep 20 20:37:00 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.57 % Drodi V4.1.1
% 0.14/0.60 % Refutation found
% 0.14/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.60 fof(f6,axiom,(
% 0.14/0.60 (![A,B,C]: (mult(mult(mult(A,B),C),B) = mult(A,mult(mult(B,C),B)) ))),
% 0.14/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f7,axiom,(
% 0.14/0.60 (![A,B]: (mult(A,mult(B,B)) = mult(mult(A,B),B) ))),
% 0.14/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f8,axiom,(
% 0.14/0.60 (![A]: (mult(A,unit) = A ))),
% 0.14/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f9,axiom,(
% 0.14/0.60 (![A]: (mult(unit,A) = A ))),
% 0.14/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f10,axiom,(
% 0.14/0.60 mult(op_a,op_b) = unit ),
% 0.14/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f11,axiom,(
% 0.14/0.60 mult(op_b,op_a) = unit ),
% 0.14/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f12,negated_conjecture,(
% 0.14/0.60 mult(mult(x0,op_b),op_a) != x0 ),
% 0.14/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f18,plain,(
% 0.14/0.60 ![X0,X1,X2]: (mult(mult(mult(X0,X1),X2),X1)=mult(X0,mult(mult(X1,X2),X1)))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.60 fof(f19,plain,(
% 0.14/0.60 ![X0,X1]: (mult(X0,mult(X1,X1))=mult(mult(X0,X1),X1))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.60 fof(f20,plain,(
% 0.14/0.60 ![X0]: (mult(X0,unit)=X0)),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.60 fof(f21,plain,(
% 0.14/0.60 ![X0]: (mult(unit,X0)=X0)),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.60 fof(f22,plain,(
% 0.14/0.60 mult(op_a,op_b)=unit),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.60 fof(f23,plain,(
% 0.14/0.60 mult(op_b,op_a)=unit),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.60 fof(f24,plain,(
% 0.14/0.60 ~mult(mult(x0,op_b),op_a)=x0),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.60 fof(f25,definition,(
% 0.14/0.60 sF1_fnc=mult(x0,op_b)),
% 0.14/0.60 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.14/0.60 fof(f26,definition,(
% 0.14/0.60 sF0_fnc=mult(sF1_fnc,op_a)),
% 0.14/0.60 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.14/0.60 fof(f27,plain,(
% 0.14/0.60 ~sF0_fnc=x0),
% 0.14/0.60 inference(definition_folding,[],[f24,f26,f25])).
% 0.14/0.60 fof(f33,plain,(
% 0.14/0.60 ![X0]: (mult(mult(sF1_fnc,X0),op_b)=mult(x0,mult(mult(op_b,X0),op_b)))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f25,f18])).
% 0.14/0.60 fof(f39,plain,(
% 0.14/0.60 mult(op_b,mult(op_a,op_a))=mult(unit,op_a)),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f23,f19])).
% 0.14/0.60 fof(f40,plain,(
% 0.14/0.60 mult(op_a,mult(op_b,op_b))=mult(unit,op_b)),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f22,f19])).
% 0.14/0.60 fof(f41,plain,(
% 0.14/0.60 mult(sF1_fnc,mult(op_a,op_a))=mult(sF0_fnc,op_a)),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f26,f19])).
% 0.14/0.60 fof(f48,plain,(
% 0.14/0.60 mult(op_b,mult(op_a,op_a))=op_a),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f21,f39])).
% 0.14/0.60 fof(f49,plain,(
% 0.14/0.60 mult(op_a,mult(op_b,op_b))=op_b),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f21,f40])).
% 0.14/0.60 fof(f623,plain,(
% 0.14/0.60 mult(mult(sF1_fnc,mult(op_a,op_a)),op_b)=mult(x0,mult(op_a,op_b))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f48,f33])).
% 0.14/0.60 fof(f637,plain,(
% 0.14/0.60 mult(mult(sF0_fnc,op_a),op_b)=mult(x0,mult(op_a,op_b))),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f41,f623])).
% 0.14/0.60 fof(f638,plain,(
% 0.14/0.60 mult(mult(sF0_fnc,op_a),op_b)=mult(x0,unit)),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f22,f637])).
% 0.14/0.60 fof(f639,plain,(
% 0.14/0.60 mult(mult(sF0_fnc,op_a),op_b)=x0),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f20,f638])).
% 0.14/0.60 fof(f656,plain,(
% 0.14/0.60 mult(x0,op_a)=mult(sF0_fnc,mult(mult(op_a,op_b),op_a))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f639,f18])).
% 0.14/0.60 fof(f661,plain,(
% 0.14/0.60 mult(mult(sF0_fnc,op_a),mult(op_b,op_b))=mult(x0,op_b)),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f639,f19])).
% 0.14/0.60 fof(f663,plain,(
% 0.14/0.60 mult(x0,op_a)=mult(sF0_fnc,mult(unit,op_a))),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f22,f656])).
% 0.14/0.60 fof(f671,plain,(
% 0.14/0.60 mult(x0,op_a)=mult(sF0_fnc,op_a)),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f21,f663])).
% 0.14/0.60 fof(f685,plain,(
% 0.14/0.60 mult(mult(x0,op_a),mult(op_b,op_b))=mult(x0,op_b)),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f671,f661])).
% 0.14/0.60 fof(f686,plain,(
% 0.14/0.60 mult(mult(x0,op_a),mult(op_b,op_b))=sF1_fnc),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f25,f685])).
% 0.14/0.60 fof(f766,plain,(
% 0.14/0.60 mult(sF1_fnc,op_a)=mult(x0,mult(mult(op_a,mult(op_b,op_b)),op_a))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f686,f18])).
% 0.14/0.60 fof(f773,plain,(
% 0.14/0.60 sF0_fnc=mult(x0,mult(mult(op_a,mult(op_b,op_b)),op_a))),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f26,f766])).
% 0.14/0.60 fof(f774,plain,(
% 0.14/0.60 sF0_fnc=mult(x0,mult(op_b,op_a))),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f49,f773])).
% 0.14/0.60 fof(f775,plain,(
% 0.14/0.60 sF0_fnc=mult(x0,unit)),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f23,f774])).
% 0.14/0.60 fof(f776,plain,(
% 0.14/0.60 sF0_fnc=x0),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f20,f775])).
% 0.14/0.60 fof(f777,plain,(
% 0.14/0.60 $false),
% 0.14/0.60 inference(forward_subsumption_resolution,[status(thm)],[f776,f27])).
% 0.14/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.62 % Elapsed time: 0.052175 seconds
% 0.14/0.62 % CPU time: 0.256908 seconds
% 0.14/0.62 % Total memory used: 13.845 MB
% 0.14/0.62 % Net memory used: 13.732 MB
%------------------------------------------------------------------------------