%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP703-11 : 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 : n010.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 0.12s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:34:40 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f3,axiom,(
% 0.12/0.36 (![A,B]: (mult(rd(A,B),B) = A ))),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f5,axiom,(
% 0.12/0.36 (![A]: (mult(A,unit) = A ))),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f6,axiom,(
% 0.12/0.36 (![A]: (mult(unit,A) = A ))),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f9,axiom,(
% 0.12/0.36 (![A,B]: (mult(A,mult(B,op_c)) = mult(mult(A,B),op_c) ))),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f12,axiom,(
% 0.12/0.36 (![A,B]: (op_e = mult(mult(rd(op_c,mult(A,B)),B),A) ))),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f14,negated_conjecture,(
% 0.12/0.36 mult(x2,mult(x3,op_e)) != mult(mult(x2,x3),op_e) ),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f17,plain,(
% 0.12/0.36 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.36 fof(f19,plain,(
% 0.12/0.36 ![X0]: (mult(X0,unit)=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.36 fof(f20,plain,(
% 0.12/0.36 ![X0]: (mult(unit,X0)=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.36 fof(f23,plain,(
% 0.12/0.36 ![X0,X1]: (mult(X0,mult(X1,op_c))=mult(mult(X0,X1),op_c))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.36 fof(f26,plain,(
% 0.12/0.36 ![X0,X1]: (op_e=mult(mult(rd(op_c,mult(X0,X1)),X1),X0))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.36 fof(f28,plain,(
% 0.12/0.36 ~mult(x2,mult(x3,op_e))=mult(mult(x2,x3),op_e)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.36 fof(f29,definition,(
% 0.12/0.36 sF1_fnc=mult(x3,op_e)),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.12/0.36 fof(f30,definition,(
% 0.12/0.36 sF0_fnc=mult(x2,sF1_fnc)),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.12/0.36 fof(f31,definition,(
% 0.12/0.36 sF3_fnc=mult(x2,x3)),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.12/0.36 fof(f32,definition,(
% 0.12/0.36 sF2_fnc=mult(sF3_fnc,op_e)),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.12/0.36 fof(f33,plain,(
% 0.12/0.36 ~sF0_fnc=sF2_fnc),
% 0.12/0.36 inference(definition_folding,[],[f28,f32,f31,f30,f29])).
% 0.12/0.36 fof(f47,plain,(
% 0.12/0.36 ![X0]: (op_e=mult(mult(rd(op_c,X0),X0),unit))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f20,f26])).
% 0.12/0.36 fof(f49,plain,(
% 0.12/0.36 ![X0]: (op_e=mult(rd(op_c,X0),X0))),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f19,f47])).
% 0.12/0.36 fof(f51,plain,(
% 0.12/0.36 sF1_fnc=mult(x3,op_c)),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f61,f29])).
% 0.12/0.36 fof(f60,plain,(
% 0.12/0.36 sF2_fnc=mult(sF3_fnc,op_c)),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f61,f32])).
% 0.12/0.36 fof(f61,plain,(
% 0.12/0.36 op_e=op_c),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f17,f49])).
% 0.12/0.36 fof(f193,plain,(
% 0.12/0.36 mult(x2,mult(x3,op_c))=mult(sF3_fnc,op_c)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f31,f23])).
% 0.12/0.36 fof(f208,plain,(
% 0.12/0.36 mult(x2,sF1_fnc)=mult(sF3_fnc,op_c)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f51,f193])).
% 0.12/0.36 fof(f209,plain,(
% 0.12/0.36 sF2_fnc=sF0_fnc),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f210,f60])).
% 0.12/0.36 fof(f210,plain,(
% 0.12/0.36 sF0_fnc=mult(sF3_fnc,op_c)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f30,f208])).
% 0.12/0.36 fof(f211,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f209,f33])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.036630 seconds
% 0.12/0.39 % CPU time: 0.061463 seconds
% 0.12/0.39 % Total memory used: 3.867 MB
% 0.12/0.39 % Net memory used: 3.839 MB
%------------------------------------------------------------------------------