%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:37:11 PM UTC 2026
% Result : Unsatisfiable 16.20s 7.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP699-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.64 % Computer : n004.cluster.edu
% 0.14/5.64 % Model : x86_64 x86_64
% 0.14/5.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.64 % Memory : 8046.5625MB
% 0.14/5.64 % OS : Linux 6.8.0-71-generic
% 0.14/5.64 % CPULimit : 300
% 0.14/5.64 % WCLimit : 300
% 0.14/5.64 % DateTime : Sun Sep 20 20:34:13 UTC 2026
% 0.14/5.64 % CPUTime :
% 0.14/5.65 % Drodi V4.1.1
% 16.20/7.79 % Refutation found
% 16.20/7.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.20/7.79 % SZS output start CNFRefutation for theBenchmark
% 16.20/7.79 fof(f1,axiom,(
% 16.20/7.79 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 16.20/7.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.20/7.79 fof(f3,axiom,(
% 16.20/7.79 (![A,B]: (mult(rd(A,B),B) = A ))),
% 16.20/7.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.20/7.79 fof(f4,axiom,(
% 16.20/7.79 (![A,B]: (rd(mult(A,B),B) = A ))),
% 16.20/7.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.20/7.79 fof(f6,axiom,(
% 16.20/7.79 (![A]: (mult(unit,A) = A ))),
% 16.20/7.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.20/7.79 fof(f8,axiom,(
% 16.20/7.79 (![A,B,C]: (mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B) ))),
% 16.20/7.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.20/7.79 fof(f9,negated_conjecture,(
% 16.20/7.79 mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))) ),
% 16.20/7.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.20/7.79 fof(f10,plain,(
% 16.20/7.79 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 16.20/7.79 inference(cnf_transformation,[status(thm)],[f1])).
% 16.20/7.79 fof(f12,plain,(
% 16.20/7.80 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 16.20/7.80 inference(cnf_transformation,[status(thm)],[f3])).
% 16.20/7.80 fof(f13,plain,(
% 16.20/7.80 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 16.20/7.80 inference(cnf_transformation,[status(thm)],[f4])).
% 16.20/7.80 fof(f15,plain,(
% 16.20/7.80 ![X0]: (mult(unit,X0)=X0)),
% 16.20/7.80 inference(cnf_transformation,[status(thm)],[f6])).
% 16.20/7.80 fof(f17,plain,(
% 16.20/7.80 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X1,mult(X2,X1)))=mult(mult(X0,mult(X1,mult(X1,X2))),X1))),
% 16.20/7.80 inference(cnf_transformation,[status(thm)],[f8])).
% 16.20/7.80 fof(f18,plain,(
% 16.20/7.80 ~mult(mult(a,b),c)=mult(mult(a,c),ld(c,mult(b,c)))),
% 16.20/7.80 inference(cnf_transformation,[status(thm)],[f9])).
% 16.20/7.80 fof(f19,definition,(
% 16.20/7.80 sF1_fnc=mult(a,b)),
% 16.20/7.80 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 16.20/7.80 fof(f20,definition,(
% 16.20/7.80 sF0_fnc=mult(sF1_fnc,c)),
% 16.20/7.80 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 16.20/7.80 fof(f21,definition,(
% 16.20/7.80 sF3_fnc=mult(a,c)),
% 16.20/7.80 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 16.20/7.80 fof(f22,definition,(
% 16.20/7.80 sF5_fnc=mult(b,c)),
% 16.20/7.80 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 16.20/7.80 fof(f23,definition,(
% 16.20/7.80 sF4_fnc=ld(c,sF5_fnc)),
% 16.20/7.80 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 16.20/7.80 fof(f24,definition,(
% 16.20/7.80 sF2_fnc=mult(sF3_fnc,sF4_fnc)),
% 16.20/7.80 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 16.20/7.80 fof(f25,plain,(
% 16.20/7.80 ~sF0_fnc=sF2_fnc),
% 16.20/7.80 inference(definition_folding,[],[f18,f24,f23,f22,f21,f20,f19])).
% 16.20/7.80 fof(f31,plain,(
% 16.20/7.80 mult(c,sF4_fnc)=sF5_fnc),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f23,f10])).
% 16.20/7.80 fof(f62,plain,(
% 16.20/7.80 rd(sF5_fnc,c)=b),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f22,f13])).
% 16.20/7.80 fof(f65,plain,(
% 16.20/7.80 rd(sF1_fnc,b)=a),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f19,f13])).
% 16.20/7.80 fof(f143,plain,(
% 16.20/7.80 ![X0,X1,X2]: (mult(mult(rd(X0,mult(X1,mult(X1,X2))),X1),mult(X1,mult(X2,X1)))=mult(X0,X1))),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f12,f17])).
% 16.20/7.80 fof(f144,plain,(
% 16.20/7.80 ![X0,X1]: (mult(mult(unit,X0),mult(X0,mult(X1,X0)))=mult(mult(X0,mult(X0,X1)),X0))),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f15,f17])).
% 16.20/7.80 fof(f168,plain,(
% 16.20/7.80 ![X0,X1]: (mult(X0,mult(X0,mult(X1,X0)))=mult(mult(X0,mult(X0,X1)),X0))),
% 16.20/7.80 inference(forward_demodulation,[status(thm)],[f15,f144])).
% 16.20/7.80 fof(f1588,plain,(
% 16.20/7.80 ![X0,X1]: (rd(mult(X0,mult(X0,mult(X1,X0))),X0)=mult(X0,mult(X0,X1)))),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f168,f13])).
% 16.20/7.80 fof(f2614,plain,(
% 16.20/7.80 ![X0,X1]: (rd(mult(X0,mult(X0,X1)),X0)=mult(X0,mult(X0,rd(X1,X0))))),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f12,f1588])).
% 16.20/7.80 fof(f14649,plain,(
% 16.20/7.80 ![X0,X1]: (rd(mult(X0,X1),X0)=mult(X0,mult(X0,rd(ld(X0,X1),X0))))),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f10,f2614])).
% 16.20/7.80 fof(f20612,plain,(
% 16.20/7.80 ![X0,X1,X2]: (mult(mult(rd(X0,rd(mult(X1,X2),X1)),X1),mult(X1,mult(rd(ld(X1,X2),X1),X1)))=mult(X0,X1))),
% 16.20/7.80 inference(paramodulation,[status(thm)],[f14649,f143])).
% 16.20/7.80 fof(f20773,plain,(
% 16.20/7.80 ![X0,X1,X2]: (mult(mult(rd(X0,rd(mult(X1,X2),X1)),X1),mult(X1,ld(X1,X2)))=mult(X0,X1))),
% 16.20/7.80 inference(forward_demodulation,[status(thm)],[f12,f20612])).
% 16.20/7.80 fof(f20774,plain,(
% 16.20/7.80 ![X0,X1,X2]: (mult(mult(rd(X0,rd(mult(X1,X2),X1)),X1),X2)=mult(X0,X1))),
% 17.03/7.84 inference(forward_demodulation,[status(thm)],[f10,f20773])).
% 17.03/7.84 fof(f33543,plain,(
% 17.03/7.84 ![X0]: (mult(mult(rd(X0,rd(sF5_fnc,c)),c),sF4_fnc)=mult(X0,c))),
% 17.03/7.84 inference(paramodulation,[status(thm)],[f31,f20774])).
% 17.03/7.84 fof(f33772,plain,(
% 17.03/7.84 ![X0]: (mult(mult(rd(X0,b),c),sF4_fnc)=mult(X0,c))),
% 17.03/7.84 inference(forward_demodulation,[status(thm)],[f62,f33543])).
% 17.03/7.84 fof(f33995,plain,(
% 17.03/7.84 mult(mult(a,c),sF4_fnc)=mult(sF1_fnc,c)),
% 17.03/7.84 inference(paramodulation,[status(thm)],[f65,f33772])).
% 17.03/7.84 fof(f34088,plain,(
% 17.03/7.84 mult(sF3_fnc,sF4_fnc)=mult(sF1_fnc,c)),
% 17.03/7.84 inference(forward_demodulation,[status(thm)],[f21,f33995])).
% 17.03/7.84 fof(f34089,plain,(
% 17.03/7.84 sF2_fnc=mult(sF1_fnc,c)),
% 17.03/7.84 inference(forward_demodulation,[status(thm)],[f24,f34088])).
% 17.03/7.84 fof(f34090,plain,(
% 17.03/7.84 sF2_fnc=sF0_fnc),
% 17.03/7.84 inference(forward_demodulation,[status(thm)],[f20,f34089])).
% 17.03/7.84 fof(f34091,plain,(
% 17.03/7.84 $false),
% 17.03/7.84 inference(forward_subsumption_resolution,[status(thm)],[f34090,f25])).
% 17.03/7.84 % SZS output end CNFRefutation for theBenchmark.p
% 17.03/7.87 % Elapsed time: 2.216000 seconds
% 17.03/7.87 % CPU time: 17.448095 seconds
% 17.03/7.87 % Total memory used: 413.879 MB
% 17.03/7.87 % Net memory used: 411.368 MB
%------------------------------------------------------------------------------