%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP657-10 : 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 : n003.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 12:37:05 PM UTC 2026
% Result : Unsatisfiable 20.80s 3.04s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP657-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:31:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 20.80/3.04 % Refutation found
% 20.80/3.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.80/3.04 % SZS output start CNFRefutation for theBenchmark
% 20.80/3.04 fof(f2,axiom,(
% 20.80/3.04 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 20.80/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.80/3.04 fof(f3,axiom,(
% 20.80/3.04 (![A,B]: (mult(rd(A,B),B) = A ))),
% 20.80/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.80/3.04 fof(f4,axiom,(
% 20.80/3.04 (![A,B]: (rd(mult(A,B),B) = A ))),
% 20.80/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.80/3.04 fof(f5,axiom,(
% 20.80/3.04 (![A,B,C]: (mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)) ))),
% 20.80/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.80/3.04 fof(f6,negated_conjecture,(
% 20.80/3.04 (![X0]: (tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)) ))),
% 20.80/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.80/3.04 fof(f8,plain,(
% 20.80/3.04 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 20.80/3.04 inference(cnf_transformation,[status(thm)],[f2])).
% 20.80/3.04 fof(f9,plain,(
% 20.80/3.04 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 20.80/3.04 inference(cnf_transformation,[status(thm)],[f3])).
% 20.80/3.04 fof(f10,plain,(
% 20.80/3.04 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 20.80/3.04 inference(cnf_transformation,[status(thm)],[f4])).
% 20.80/3.04 fof(f11,plain,(
% 20.80/3.04 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X2,X0))=mult(X0,mult(mult(X1,X2),X0)))),
% 20.80/3.04 inference(cnf_transformation,[status(thm)],[f5])).
% 20.80/3.04 fof(f12,plain,(
% 20.80/3.04 ![X0]: (~tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0))=tuple(x1(X0),x1_2(X0)))),
% 20.80/3.04 inference(cnf_transformation,[status(thm)],[f6])).
% 20.80/3.04 fof(f13,definition,(
% 20.80/3.04 ![X0]: (sF1_fnc(X0)=mult(X0,x1(X0)))),
% 20.80/3.04 introduced(definition,[new_symbols(definition,[sF1_fnc(X0)])],[function_definition])).
% 20.80/3.04 fof(f14,definition,(
% 20.80/3.04 ![X0]: (sF2_fnc(X0)=mult(x1_2(X0),X0))),
% 20.80/3.04 introduced(definition,[new_symbols(definition,[sF2_fnc(X0)])],[function_definition])).
% 20.80/3.04 fof(f15,definition,(
% 20.80/3.04 ![X0]: (sF0_fnc(X0)=tuple(sF1_fnc(X0),sF2_fnc(X0)))),
% 20.80/3.04 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 20.80/3.04 fof(f16,definition,(
% 20.80/3.04 ![X0]: (sF3_fnc(X0)=tuple(x1(X0),x1_2(X0)))),
% 20.80/3.04 introduced(definition,[new_symbols(definition,[sF3_fnc(X0)])],[function_definition])).
% 20.80/3.04 fof(f17,plain,(
% 20.80/3.04 ![X0]: (~sF0_fnc(X0)=sF3_fnc(X0))),
% 20.80/3.04 inference(definition_folding,[],[f12,f16,f15,f14,f13])).
% 20.80/3.04 fof(f145,plain,(
% 20.80/3.04 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(X0,mult(mult(X1,rd(X2,X0)),X0)))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f9,f11])).
% 20.80/3.04 fof(f153,plain,(
% 20.80/3.04 ![X0,X1,X2]: (rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0))=mult(X0,X1))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f11,f10])).
% 20.80/3.04 fof(f525,plain,(
% 20.80/3.04 ![X0,X1,X2]: (mult(mult(X0,rd(X1,rd(X2,X0))),X2)=mult(X0,mult(X1,X0)))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f9,f145])).
% 20.80/3.04 fof(f552,plain,(
% 20.80/3.04 ![X0,X1,X2]: (ld(X0,mult(mult(X0,X1),X2))=mult(mult(X1,rd(X2,X0)),X0))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f145,f8])).
% 20.80/3.04 fof(f594,plain,(
% 20.80/3.04 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X0)),mult(X2,X0))=mult(X0,rd(X1,X2)))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f9,f153])).
% 20.80/3.04 fof(f2045,plain,(
% 20.80/3.04 ![X0,X1]: (X0=mult(X0,rd(X1,X1)))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f10,f594])).
% 20.80/3.04 fof(f2126,plain,(
% 20.80/3.04 ![X0,X1]: (rd(X0,rd(X1,X1))=X0)),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f9,f2045])).
% 20.80/3.04 fof(f2130,plain,(
% 20.80/3.04 ![X0]: (x1_2(rd(X0,X0))=sF2_fnc(rd(X0,X0)))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f14,f2045])).
% 20.80/3.04 fof(f2269,plain,(
% 20.80/3.04 ![X0,X1,X2]: (mult(mult(rd(X0,X0),rd(X1,X2)),X2)=mult(rd(X0,X0),mult(X1,rd(X0,X0))))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f2126,f525])).
% 20.80/3.04 fof(f2275,plain,(
% 20.80/3.04 ![X0,X1,X2]: (ld(X0,mult(mult(X0,rd(X1,X1)),X2))=mult(rd(X1,X1),mult(X2,rd(X1,X1))))),
% 20.80/3.04 inference(forward_demodulation,[status(thm)],[f552,f2269])).
% 20.80/3.04 fof(f2276,plain,(
% 20.80/3.04 ![X0,X1,X2]: (ld(X0,mult(X0,X1))=mult(rd(X2,X2),mult(X1,rd(X2,X2))))),
% 20.80/3.04 inference(forward_demodulation,[status(thm)],[f2045,f2275])).
% 20.80/3.04 fof(f2277,plain,(
% 20.80/3.04 ![X0,X1]: (X0=mult(rd(X1,X1),mult(X0,rd(X1,X1))))),
% 20.80/3.04 inference(forward_demodulation,[status(thm)],[f8,f2276])).
% 20.80/3.04 fof(f2278,plain,(
% 20.80/3.04 ![X0,X1]: (X0=mult(rd(X1,X1),X0))),
% 20.80/3.04 inference(forward_demodulation,[status(thm)],[f2045,f2277])).
% 20.80/3.04 fof(f3711,plain,(
% 20.80/3.04 ![X0]: (x1(rd(X0,X0))=sF1_fnc(rd(X0,X0)))),
% 20.80/3.04 inference(paramodulation,[status(thm)],[f13,f2278])).
% 20.80/3.08 fof(f16466,plain,(
% 20.80/3.08 ![X0]: (sF0_fnc(rd(X0,X0))=tuple(x1(rd(X0,X0)),sF2_fnc(rd(X0,X0))))),
% 20.80/3.08 inference(paramodulation,[status(thm)],[f3711,f15])).
% 20.80/3.08 fof(f16483,plain,(
% 20.80/3.08 ![X0]: (sF0_fnc(rd(X0,X0))=tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))))),
% 20.80/3.08 inference(forward_demodulation,[status(thm)],[f2130,f16466])).
% 20.80/3.08 fof(f16484,plain,(
% 20.80/3.08 ![X0]: (sF0_fnc(rd(X0,X0))=sF3_fnc(rd(X0,X0)))),
% 20.80/3.08 inference(forward_demodulation,[status(thm)],[f16,f16483])).
% 20.80/3.08 fof(f16485,plain,(
% 20.80/3.08 $false),
% 20.80/3.08 inference(forward_subsumption_resolution,[status(thm)],[f16484,f17])).
% 20.80/3.08 % SZS output end CNFRefutation for theBenchmark.p
% 20.81/3.17 % Elapsed time: 2.795470 seconds
% 20.81/3.17 % CPU time: 21.921933 seconds
% 20.81/3.17 % Total memory used: 650.607 MB
% 20.81/3.17 % Net memory used: 649.145 MB
%------------------------------------------------------------------------------