%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP704-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:37:12 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP704-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:34:27 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,axiom,(
% 0.09/0.37 (![A]: (mult(A,unit) = A ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,axiom,(
% 0.09/0.37 (![A]: (mult(unit,A) = A ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f9,axiom,(
% 0.09/0.37 (![A,B]: (mult(A,mult(B,op_c)) = mult(mult(A,B),op_c) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f13,axiom,(
% 0.09/0.37 (![A,B]: (op_f = mult(A,mult(B,ld(mult(A,B),op_c))) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f14,negated_conjecture,(
% 0.09/0.37 mult(x4,mult(x5,op_f)) != mult(mult(x4,x5),op_f) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ![X0]: (mult(X0,unit)=X0)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f20,plain,(
% 0.09/0.37 ![X0]: (mult(unit,X0)=X0)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.37 fof(f23,plain,(
% 0.09/0.37 ![X0,X1]: (mult(X0,mult(X1,op_c))=mult(mult(X0,X1),op_c))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f27,plain,(
% 0.09/0.37 ![X0,X1]: (op_f=mult(X0,mult(X1,ld(mult(X0,X1),op_c))))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.37 fof(f28,plain,(
% 0.09/0.37 ~mult(x4,mult(x5,op_f))=mult(mult(x4,x5),op_f)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.37 fof(f29,definition,(
% 0.09/0.37 sF1_fnc=mult(x5,op_f)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.37 fof(f30,definition,(
% 0.09/0.37 sF0_fnc=mult(x4,sF1_fnc)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.37 fof(f31,definition,(
% 0.09/0.37 sF3_fnc=mult(x4,x5)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.09/0.37 fof(f32,definition,(
% 0.09/0.37 sF2_fnc=mult(sF3_fnc,op_f)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.09/0.37 fof(f33,plain,(
% 0.09/0.37 ~sF0_fnc=sF2_fnc),
% 0.09/0.37 inference(definition_folding,[],[f28,f32,f31,f30,f29])).
% 0.09/0.37 fof(f55,plain,(
% 0.09/0.37 ![X0]: (op_f=mult(X0,mult(unit,ld(X0,op_c))))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f19,f27])).
% 0.09/0.37 fof(f63,plain,(
% 0.09/0.37 ![X0]: (op_f=mult(X0,ld(X0,op_c)))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f20,f55])).
% 0.09/0.37 fof(f65,plain,(
% 0.09/0.37 sF1_fnc=mult(x5,op_c)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f74,f29])).
% 0.09/0.37 fof(f73,plain,(
% 0.09/0.37 sF2_fnc=mult(sF3_fnc,op_c)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f74,f32])).
% 0.09/0.37 fof(f74,plain,(
% 0.09/0.37 op_f=op_c),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f15,f63])).
% 0.09/0.37 fof(f197,plain,(
% 0.09/0.37 mult(x4,mult(x5,op_c))=mult(sF3_fnc,op_c)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f31,f23])).
% 0.09/0.37 fof(f212,plain,(
% 0.09/0.37 mult(x4,sF1_fnc)=mult(sF3_fnc,op_c)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f65,f197])).
% 0.09/0.37 fof(f213,plain,(
% 0.09/0.37 sF2_fnc=sF0_fnc),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f214,f73])).
% 0.09/0.37 fof(f214,plain,(
% 0.09/0.37 sF0_fnc=mult(sF3_fnc,op_c)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f30,f212])).
% 0.09/0.37 fof(f215,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f213,f33])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.029241 seconds
% 0.13/0.39 % CPU time: 0.061456 seconds
% 0.13/0.39 % Total memory used: 3.497 MB
% 0.13/0.39 % Net memory used: 3.491 MB
%------------------------------------------------------------------------------