%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP710-10 : 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 : 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 12:37:13 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP710-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.52 % Computer : n010.cluster.edu
% 0.08/0.52 % Model : x86_64 x86_64
% 0.08/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.52 % Memory : 8046.5625MB
% 0.08/0.52 % OS : Linux 6.8.0-71-generic
% 0.08/0.52 % CPULimit : 300
% 0.08/0.52 % WCLimit : 300
% 0.08/0.52 % DateTime : Sun Sep 20 20:34:55 UTC 2026
% 0.08/0.52 % CPUTime :
% 0.08/0.53 % Drodi V4.1.1
% 0.14/0.56 % Refutation found
% 0.14/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.56 fof(f1,axiom,(
% 0.14/0.56 (![A]: (mult(A,unit) = A ))),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f2,axiom,(
% 0.14/0.56 (![A]: (mult(unit,A) = A ))),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f3,axiom,(
% 0.14/0.56 (![A,B,C]: (mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C) ))),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f4,axiom,(
% 0.14/0.56 (![A]: (mult(A,i(A)) = unit ))),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f5,axiom,(
% 0.14/0.56 (![A]: (mult(i(A),A) = unit ))),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f6,negated_conjecture,(
% 0.14/0.56 (![X2]: (mult(x0,X2) != x1 ))),
% 0.14/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.56 fof(f7,plain,(
% 0.14/0.56 ![X0]: (mult(X0,unit)=X0)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.56 fof(f8,plain,(
% 0.14/0.56 ![X0]: (mult(unit,X0)=X0)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.56 fof(f9,plain,(
% 0.14/0.56 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(mult(X0,X1),X1),X2))),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.56 fof(f10,plain,(
% 0.14/0.56 ![X0]: (mult(X0,i(X0))=unit)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.56 fof(f11,plain,(
% 0.14/0.56 ![X0]: (mult(i(X0),X0)=unit)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.56 fof(f12,plain,(
% 0.14/0.56 ![X0]: (~mult(x0,X0)=x1)),
% 0.14/0.56 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.56 fof(f13,definition,(
% 0.14/0.56 ![X0]: (sF0_fnc(X0)=mult(x0,X0))),
% 0.14/0.56 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.14/0.56 fof(f14,plain,(
% 0.14/0.56 ![X0]: (~sF0_fnc(X0)=x1)),
% 0.14/0.56 inference(definition_folding,[],[f12,f13])).
% 0.14/0.56 fof(f452,plain,(
% 0.14/0.56 ![X0,X1]: (mult(X0,mult(X1,mult(X1,unit)))=mult(mult(X0,X1),X1))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f9,f7])).
% 0.14/0.56 fof(f478,plain,(
% 0.14/0.56 ![X0,X1]: (mult(X0,mult(X1,X1))=mult(mult(X0,X1),X1))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f7,f452])).
% 0.14/0.56 fof(f567,plain,(
% 0.14/0.56 ![X0,X1]: (mult(X0,mult(i(X0),mult(i(X0),X1)))=mult(mult(unit,i(X0)),X1))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f10,f9])).
% 0.14/0.56 fof(f570,plain,(
% 0.14/0.56 ![X0,X1]: (mult(X0,mult(i(X0),mult(i(X0),X1)))=mult(i(X0),X1))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f8,f567])).
% 0.14/0.56 fof(f587,plain,(
% 0.14/0.56 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(X0,mult(X1,X1)),X2))),
% 0.14/0.56 inference(backward_demodulation,[status(thm)],[f478,f9])).
% 0.14/0.56 fof(f594,plain,(
% 0.14/0.56 ![X0]: (mult(i(X0),mult(X0,X0))=mult(unit,X0))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f11,f478])).
% 0.14/0.56 fof(f618,plain,(
% 0.14/0.56 ![X0]: (mult(i(X0),mult(X0,X0))=X0)),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f8,f594])).
% 0.14/0.56 fof(f660,plain,(
% 0.14/0.56 ![X0,X1]: (mult(X0,mult(x0,mult(x0,X1)))=mult(mult(X0,sF0_fnc(x0)),X1))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f13,f587])).
% 0.14/0.56 fof(f711,plain,(
% 0.14/0.56 ![X0,X1]: (mult(X0,sF0_fnc(mult(x0,X1)))=mult(mult(X0,sF0_fnc(x0)),X1))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f13,f660])).
% 0.14/0.56 fof(f712,plain,(
% 0.14/0.56 ![X0,X1]: (mult(X0,sF0_fnc(sF0_fnc(X1)))=mult(mult(X0,sF0_fnc(x0)),X1))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f13,f711])).
% 0.14/0.56 fof(f845,plain,(
% 0.14/0.56 mult(i(x0),sF0_fnc(x0))=x0),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f13,f618])).
% 0.14/0.56 fof(f1662,plain,(
% 0.14/0.56 ![X0]: (mult(i(x0),sF0_fnc(sF0_fnc(X0)))=mult(x0,X0))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f845,f712])).
% 0.14/0.56 fof(f1663,plain,(
% 0.14/0.56 ![X0]: (mult(i(sF0_fnc(x0)),sF0_fnc(sF0_fnc(X0)))=mult(unit,X0))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f11,f712])).
% 0.14/0.56 fof(f1721,plain,(
% 0.14/0.56 ![X0]: (mult(i(x0),sF0_fnc(sF0_fnc(X0)))=sF0_fnc(X0))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f13,f1662])).
% 0.14/0.56 fof(f1722,plain,(
% 0.14/0.56 ![X0]: (mult(i(sF0_fnc(x0)),sF0_fnc(sF0_fnc(X0)))=X0)),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f8,f1663])).
% 0.14/0.56 fof(f1820,plain,(
% 0.14/0.56 ![X0]: (mult(x0,mult(i(x0),sF0_fnc(X0)))=mult(i(x0),sF0_fnc(sF0_fnc(X0))))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f1721,f570])).
% 0.14/0.56 fof(f1833,plain,(
% 0.14/0.56 ![X0]: (sF0_fnc(mult(i(x0),sF0_fnc(X0)))=mult(i(x0),sF0_fnc(sF0_fnc(X0))))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f13,f1820])).
% 0.14/0.56 fof(f1834,plain,(
% 0.14/0.56 ![X0]: (sF0_fnc(mult(i(x0),sF0_fnc(X0)))=sF0_fnc(X0))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f1721,f1833])).
% 0.14/0.56 fof(f1866,plain,(
% 0.14/0.56 ![X0]: (mult(i(sF0_fnc(x0)),sF0_fnc(sF0_fnc(X0)))=mult(i(x0),sF0_fnc(X0)))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f1834,f1722])).
% 0.14/0.56 fof(f1871,plain,(
% 0.14/0.56 ![X0]: (X0=mult(i(x0),sF0_fnc(X0)))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f1722,f1866])).
% 0.14/0.56 fof(f1880,plain,(
% 0.14/0.56 ![X0]: (mult(x0,mult(i(x0),X0))=mult(i(x0),sF0_fnc(X0)))),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f1871,f570])).
% 0.14/0.56 fof(f1886,plain,(
% 0.14/0.56 ![X0]: (sF0_fnc(mult(i(x0),X0))=mult(i(x0),sF0_fnc(X0)))),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f13,f1880])).
% 0.14/0.56 fof(f1887,plain,(
% 0.14/0.56 ![X0]: (sF0_fnc(mult(i(x0),X0))=X0)),
% 0.14/0.56 inference(forward_demodulation,[status(thm)],[f1871,f1886])).
% 0.14/0.56 fof(f2041,plain,(
% 0.14/0.56 ![X0]: (~X0=x1)),
% 0.14/0.56 inference(paramodulation,[status(thm)],[f1887,f14])).
% 0.14/0.56 fof(f2059,plain,(
% 0.14/0.56 $false),
% 0.14/0.56 inference(destructive_equality_resolution,[status(thm)],[f2041])).
% 0.14/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.58 % Elapsed time: 0.047350 seconds
% 0.14/0.58 % CPU time: 0.230944 seconds
% 0.14/0.58 % Total memory used: 14.946 MB
% 0.14/0.58 % Net memory used: 14.603 MB
%------------------------------------------------------------------------------