%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP656-10 : 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 : 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 12:37:05 PM UTC 2026
% Result : Unsatisfiable 100.73s 13.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP656-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n007.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 20 20:27:36 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.43 % Drodi V4.1.1
% 100.73/13.48 % Refutation found
% 100.73/13.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 100.73/13.48 % SZS output start CNFRefutation for theBenchmark
% 100.73/13.48 fof(f1,axiom,(
% 100.73/13.48 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 100.73/13.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.73/13.48 fof(f2,axiom,(
% 100.73/13.48 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 100.73/13.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.73/13.48 fof(f4,axiom,(
% 100.73/13.48 (![A,B]: (rd(mult(A,B),B) = A ))),
% 100.73/13.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.73/13.48 fof(f5,axiom,(
% 100.73/13.48 (![A,B,C]: (mult(mult(A,B),mult(C,A)) = mult(mult(A,mult(B,C)),A) ))),
% 100.73/13.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.73/13.48 fof(f6,negated_conjecture,(
% 100.73/13.48 (![X0]: (tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)) ))),
% 100.73/13.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 100.73/13.48 fof(f7,plain,(
% 100.73/13.48 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 100.73/13.48 inference(cnf_transformation,[status(thm)],[f1])).
% 100.73/13.48 fof(f8,plain,(
% 100.73/13.48 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 100.73/13.48 inference(cnf_transformation,[status(thm)],[f2])).
% 100.73/13.48 fof(f10,plain,(
% 100.73/13.48 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 100.73/13.48 inference(cnf_transformation,[status(thm)],[f4])).
% 100.73/13.48 fof(f11,plain,(
% 100.73/13.48 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X2,X0))=mult(mult(X0,mult(X1,X2)),X0))),
% 100.73/13.48 inference(cnf_transformation,[status(thm)],[f5])).
% 100.73/13.48 fof(f12,plain,(
% 100.73/13.48 ![X0]: (~tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0))=tuple(x1(X0),x1_2(X0)))),
% 100.73/13.48 inference(cnf_transformation,[status(thm)],[f6])).
% 100.73/13.48 fof(f13,definition,(
% 100.73/13.48 ![X0]: (sF1_fnc(X0)=mult(X0,x1(X0)))),
% 100.73/13.48 introduced(definition,[new_symbols(definition,[sF1_fnc(X0)])],[function_definition])).
% 100.73/13.48 fof(f14,definition,(
% 100.73/13.48 ![X0]: (sF2_fnc(X0)=mult(x1_2(X0),X0))),
% 100.73/13.48 introduced(definition,[new_symbols(definition,[sF2_fnc(X0)])],[function_definition])).
% 100.73/13.48 fof(f15,definition,(
% 100.73/13.48 ![X0]: (sF0_fnc(X0)=tuple(sF1_fnc(X0),sF2_fnc(X0)))),
% 100.73/13.48 introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition])).
% 100.73/13.48 fof(f16,definition,(
% 100.73/13.48 ![X0]: (sF3_fnc(X0)=tuple(x1(X0),x1_2(X0)))),
% 100.73/13.48 introduced(definition,[new_symbols(definition,[sF3_fnc(X0)])],[function_definition])).
% 100.73/13.48 fof(f17,plain,(
% 100.73/13.48 ![X0]: (~sF0_fnc(X0)=sF3_fnc(X0))),
% 100.73/13.48 inference(definition_folding,[],[f12,f16,f15,f14,f13])).
% 100.73/13.48 fof(f400,plain,(
% 100.73/13.48 ![X0,X1,X2]: (mult(mult(X0,X1),mult(ld(X1,X2),X0))=mult(mult(X0,X2),X0))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f7,f11])).
% 100.73/13.48 fof(f430,plain,(
% 100.73/13.48 ![X0]: (ld(X0,sF1_fnc(X0))=x1(X0))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f13,f8])).
% 100.73/13.48 fof(f473,plain,(
% 100.73/13.48 ![X0]: (rd(sF2_fnc(X0),X0)=x1_2(X0))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f14,f10])).
% 100.73/13.48 fof(f474,plain,(
% 100.73/13.48 ![X0,X1]: (rd(X0,ld(X1,X0))=X1)),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f7,f10])).
% 100.73/13.48 fof(f627,plain,(
% 100.73/13.48 ![X0,X1,X2]: (ld(mult(X0,X1),mult(mult(X0,X2),X0))=mult(ld(X1,X2),X0))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f400,f8])).
% 100.73/13.48 fof(f1140,plain,(
% 100.73/13.48 ![X0,X1]: (X0=mult(ld(X1,X1),X0))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f8,f627])).
% 100.73/13.48 fof(f1476,plain,(
% 100.73/13.48 ![X0,X1]: (ld(ld(X0,X0),X1)=X1)),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f7,f1140])).
% 100.73/13.48 fof(f1511,plain,(
% 100.73/13.48 ![X0,X1]: (rd(X0,X0)=ld(X1,X1))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f1140,f10])).
% 100.73/13.48 fof(f1591,plain,(
% 100.73/13.48 ![X0,X1]: (ld(rd(X0,X0),X1)=X1)),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f1511,f1476])).
% 100.73/13.48 fof(f1596,plain,(
% 100.73/13.48 ![X0,X1]: (rd(X0,rd(X1,X1))=X0)),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f1511,f474])).
% 100.73/13.48 fof(f2261,plain,(
% 100.73/13.48 ![X0]: (x1(rd(X0,X0))=sF1_fnc(rd(X0,X0)))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f430,f1591])).
% 100.73/13.48 fof(f2425,plain,(
% 100.73/13.48 ![X0]: (x1_2(rd(X0,X0))=sF2_fnc(rd(X0,X0)))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f473,f1596])).
% 100.73/13.48 fof(f19981,plain,(
% 100.73/13.48 ![X0]: (sF0_fnc(rd(X0,X0))=tuple(sF1_fnc(rd(X0,X0)),x1_2(rd(X0,X0))))),
% 100.73/13.48 inference(paramodulation,[status(thm)],[f2425,f15])).
% 100.73/13.48 fof(f19993,plain,(
% 100.73/13.48 ![X0]: (sF0_fnc(rd(X0,X0))=tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))))),
% 100.73/13.48 inference(forward_demodulation,[status(thm)],[f2261,f19981])).
% 100.73/13.48 fof(f19994,plain,(
% 100.73/13.48 ![X0]: (sF0_fnc(rd(X0,X0))=sF3_fnc(rd(X0,X0)))),
% 100.73/13.48 inference(forward_demodulation,[status(thm)],[f16,f19993])).
% 100.73/13.48 fof(f19995,plain,(
% 100.73/13.48 $false),
% 100.73/13.48 inference(forward_subsumption_resolution,[status(thm)],[f19994,f17])).
% 100.73/13.55 % SZS output end CNFRefutation for theBenchmark.p
% 5.13/14.04 % Elapsed time: 13.568594 seconds
% 5.13/14.04 % CPU time: 106.121344 seconds
% 5.13/14.04 % Total memory used: 1.554 GB
% 5.13/14.04 % Net memory used: 1.551 GB
%------------------------------------------------------------------------------