%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP710-11 : 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 : n007.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 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP710-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:32:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![A]: (mult(A,unit) = A ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![A]: (mult(unit,A) = A ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![A,B,C]: (mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (![A]: (mult(A,i(A)) = unit ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,axiom,(
% 0.13/0.40 (![A]: (mult(i(A),A) = unit ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,negated_conjecture,(
% 0.13/0.40 (![X5]: (mult(X5,x4) != x3 ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,plain,(
% 0.13/0.40 ![X0]: (mult(X0,unit)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f8,plain,(
% 0.13/0.40 ![X0]: (mult(unit,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f9,plain,(
% 0.13/0.40 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(mult(X0,X1),X1),X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f10,plain,(
% 0.13/0.40 ![X0]: (mult(X0,i(X0))=unit)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f11,plain,(
% 0.13/0.40 ![X0]: (mult(i(X0),X0)=unit)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f12,plain,(
% 0.13/0.40 ![X0]: (~mult(X0,x4)=x3)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f13,definition,(
% 0.13/0.40 ![X0]: (sF0_fnc(X0)=mult(X0,x4))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 0.13/0.40 fof(f14,plain,(
% 0.13/0.40 ![X0]: (~sF0_fnc(X0)=x3)),
% 0.13/0.40 inference(definition_folding,[],[f12,f13])).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,mult(X1,x4)))=sF0_fnc(mult(mult(X0,X1),X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f13,f9])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(x4,mult(x4,X1)))=mult(sF0_fnc(mult(X0,x4)),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f13,f9])).
% 0.13/0.40 fof(f21,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,sF0_fnc(X1)))=sF0_fnc(mult(mult(X0,X1),X1)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f13,f15])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(x4,mult(x4,X1)))=mult(sF0_fnc(sF0_fnc(X0)),X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f13,f17])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,mult(X2,sF0_fnc(X2)))))=sF0_fnc(mult(mult(mult(mult(X0,X1),X1),X2),X2)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f21,f9])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 ![X0,X1,X2]: (mult(X0,mult(X1,sF0_fnc(mult(mult(X1,X2),X2))))=sF0_fnc(mult(mult(mult(mult(X0,X1),X1),X2),X2)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f21,f28])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 ![X0,X1,X2]: (mult(X0,mult(X1,sF0_fnc(mult(mult(X1,X2),X2))))=sF0_fnc(mult(mult(X0,mult(X1,mult(X1,X2))),X2)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f9,f33])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,mult(X1,unit)))=mult(mult(X0,X1),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f7])).
% 0.13/0.40 fof(f360,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,X1))=mult(mult(X0,X1),X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f7,f345])).
% 0.13/0.40 fof(f387,plain,(
% 0.13/0.40 ![X0]: (sF0_fnc(mult(mult(unit,X0),X0))=mult(X0,sF0_fnc(X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f21,f8])).
% 0.13/0.40 fof(f403,plain,(
% 0.13/0.40 ![X0,X1]: (mult(unit,mult(X0,mult(X0,X1)))=mult(mult(X0,X0),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.13/0.40 fof(f405,plain,(
% 0.13/0.40 ![X0]: (sF0_fnc(mult(X0,X0))=mult(X0,sF0_fnc(X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f8,f387])).
% 0.13/0.40 fof(f432,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X0,X1))=mult(mult(X0,X0),X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f8,f403])).
% 0.13/0.40 fof(f454,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(i(X0),mult(i(X0),X1)))=mult(mult(unit,i(X0)),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f10,f9])).
% 0.13/0.40 fof(f462,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(i(X0),mult(i(X0),X1)))=mult(i(X0),X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f8,f454])).
% 0.13/0.40 fof(f479,plain,(
% 0.13/0.40 ![X0,X1]: (mult(i(X0),mult(X0,mult(X0,X1)))=mult(mult(unit,X0),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.13/0.40 fof(f486,plain,(
% 0.13/0.40 ![X0,X1]: (mult(i(X0),mult(X0,mult(X0,X1)))=mult(X0,X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f8,f479])).
% 0.13/0.40 fof(f489,plain,(
% 0.13/0.40 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(X0,mult(X1,X1)),X2))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f360,f9])).
% 0.13/0.40 fof(f495,plain,(
% 0.13/0.40 ![X0]: (mult(i(X0),mult(X0,X0))=mult(unit,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f11,f360])).
% 0.13/0.40 fof(f518,plain,(
% 0.13/0.40 ![X0]: (mult(i(X0),mult(X0,X0))=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f8,f495])).
% 0.13/0.40 fof(f536,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,mult(X1,x4)))=sF0_fnc(mult(X0,mult(X1,X1))))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f13,f489])).
% 0.13/0.40 fof(f537,plain,(
% 0.13/0.40 ![X0,X1]: (mult(i(mult(X0,X0)),mult(X0,mult(X0,X1)))=mult(unit,X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f11,f489])).
% 0.13/0.40 fof(f565,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,sF0_fnc(X1)))=sF0_fnc(mult(X0,mult(X1,X1))))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f13,f536])).
% 0.13/0.40 fof(f566,plain,(
% 0.13/0.40 ![X0,X1]: (mult(i(mult(X0,X0)),mult(X0,mult(X0,X1)))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f8,f537])).
% 0.13/0.40 fof(f785,plain,(
% 0.13/0.40 ![X0]: (mult(X0,mult(X0,i(mult(X0,X0))))=unit)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f10,f432])).
% 0.13/0.40 fof(f1090,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,sF0_fnc(mult(X1,X1)))=sF0_fnc(mult(X0,mult(X1,X1))))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f405,f565])).
% 0.13/0.40 fof(f1251,plain,(
% 0.13/0.40 ![X0]: (mult(X0,unit)=mult(sF0_fnc(sF0_fnc(X0)),i(mult(x4,x4))))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f785,f22])).
% 0.13/0.40 fof(f1298,plain,(
% 0.13/0.40 ![X0]: (X0=mult(sF0_fnc(sF0_fnc(X0)),i(mult(x4,x4))))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f7,f1251])).
% 0.13/0.40 fof(f1299,plain,(
% 0.13/0.40 ![X0]: (X0=mult(sF0_fnc(sF0_fnc(X0)),i(sF0_fnc(x4))))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f13,f1298])).
% 0.13/0.40 fof(f1580,plain,(
% 0.13/0.40 ![X0]: (mult(i(mult(i(X0),i(X0))),mult(i(X0),X0))=mult(X0,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f518,f566])).
% 0.13/0.40 fof(f1644,plain,(
% 0.13/0.40 ![X0]: (mult(i(mult(i(X0),i(X0))),unit)=mult(X0,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f11,f1580])).
% 0.13/0.40 fof(f1645,plain,(
% 0.13/0.40 ![X0]: (i(mult(i(X0),i(X0)))=mult(X0,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f7,f1644])).
% 0.13/0.40 fof(f2564,plain,(
% 0.13/0.40 ![X0,X1]: (mult(mult(X0,X0),mult(i(X0),mult(i(X0),X1)))=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f1645,f566])).
% 0.13/0.40 fof(f2590,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X0,mult(i(X0),mult(i(X0),X1))))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f432,f2564])).
% 0.13/0.40 fof(f2591,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(i(X0),X1))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f462,f2590])).
% 0.13/0.40 fof(f2655,plain,(
% 0.13/0.40 ![X0]: (mult(X0,sF0_fnc(i(X0)))=x4)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f13,f2591])).
% 0.13/0.40 fof(f2656,plain,(
% 0.13/0.40 ![X0,X1]: (mult(mult(i(X0),i(X0)),mult(mult(X0,X0),X1))=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f1645,f2591])).
% 0.13/0.40 fof(f2691,plain,(
% 0.13/0.40 ![X0,X1]: (mult(i(X0),mult(i(X0),mult(mult(X0,X0),X1)))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f432,f2656])).
% 0.13/0.40 fof(f2692,plain,(
% 0.13/0.40 ![X0,X1]: (mult(i(X0),mult(i(X0),mult(X0,mult(X0,X1))))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f432,f2691])).
% 0.13/0.40 fof(f2693,plain,(
% 0.13/0.40 ![X0,X1]: (mult(i(X0),mult(X0,X1))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f486,f2692])).
% 0.13/0.40 fof(f2726,plain,(
% 0.13/0.40 ![X0]: (mult(mult(i(X0),i(X0)),sF0_fnc(mult(X0,X0)))=x4)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f1645,f2655])).
% 0.13/0.40 fof(f2744,plain,(
% 0.13/0.40 ![X0]: (mult(i(X0),mult(i(X0),sF0_fnc(mult(X0,X0))))=x4)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f432,f2726])).
% 0.13/0.40 fof(f2745,plain,(
% 0.13/0.40 ![X0]: (mult(i(X0),sF0_fnc(mult(i(X0),mult(X0,X0))))=x4)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1090,f2744])).
% 0.13/0.40 fof(f2746,plain,(
% 0.13/0.40 ![X0]: (mult(i(X0),sF0_fnc(X0))=x4)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f518,f2745])).
% 0.13/0.40 fof(f3366,plain,(
% 0.13/0.40 ![X0,X1,X2]: (mult(X0,mult(X1,sF0_fnc(mult(X1,mult(X2,X2)))))=sF0_fnc(mult(mult(X0,mult(X1,mult(X1,X2))),X2)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f360,f34])).
% 0.13/0.40 fof(f3389,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(i(X1),sF0_fnc(X1)))=sF0_fnc(mult(mult(X0,mult(i(X1),mult(i(X1),X1))),X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f2693,f3366])).
% 0.13/0.40 fof(f3502,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,x4)=sF0_fnc(mult(mult(X0,mult(i(X1),mult(i(X1),X1))),X1)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2746,f3389])).
% 0.13/0.40 fof(f3503,plain,(
% 0.13/0.40 ![X0,X1]: (sF0_fnc(X0)=sF0_fnc(mult(mult(X0,mult(i(X1),mult(i(X1),X1))),X1)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f13,f3502])).
% 0.13/0.40 fof(f3504,plain,(
% 0.13/0.40 ![X0,X1]: (sF0_fnc(X0)=sF0_fnc(mult(mult(X0,mult(i(X1),unit)),X1)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f11,f3503])).
% 0.13/0.40 fof(f3505,plain,(
% 0.13/0.40 ![X0,X1]: (sF0_fnc(X0)=sF0_fnc(mult(mult(X0,i(X1)),X1)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f7,f3504])).
% 0.13/0.40 fof(f3708,plain,(
% 0.13/0.40 ![X0,X1]: (mult(mult(X0,i(X1)),X1)=mult(sF0_fnc(sF0_fnc(X0)),i(sF0_fnc(x4))))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f3505,f1299])).
% 0.13/0.40 fof(f3725,plain,(
% 0.13/0.40 ![X0,X1]: (mult(mult(X0,i(X1)),X1)=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1299,f3708])).
% 0.13/0.40 fof(f4146,plain,(
% 0.13/0.40 ![X0]: (sF0_fnc(mult(X0,i(x4)))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f13,f3725])).
% 0.13/0.40 fof(f4231,plain,(
% 0.13/0.40 ![X0]: (~X0=x3)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f4146,f14])).
% 0.13/0.40 fof(f4243,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f4231])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.055862 seconds
% 0.13/0.42 % CPU time: 0.275972 seconds
% 0.13/0.42 % Total memory used: 11.397 MB
% 0.13/0.42 % Net memory used: 11.242 MB
%------------------------------------------------------------------------------