%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO002-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:06:41 PM UTC 2026
% Result : Unsatisfiable 1.15s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 13:46:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.15/0.67 % Refutation found
% 1.15/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.15/0.67 % SZS output start CNFRefutation for theBenchmark
% 1.15/0.67 fof(f1,axiom,(
% 1.15/0.67 (![V,W,X,Y,Z]: (multiply(multiply(V,W,X),Y,multiply(V,W,Z)) = multiply(V,W,multiply(X,Y,Z)) ))),
% 1.15/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.67 fof(f2,axiom,(
% 1.15/0.67 (![Y,X]: (multiply(Y,X,X) = X ))),
% 1.15/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.67 fof(f3,axiom,(
% 1.15/0.67 (![X,Y]: (multiply(X,X,Y) = X ))),
% 1.15/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.67 fof(f4,axiom,(
% 1.15/0.67 (![Y,X]: (multiply(inverse(Y),Y,X) = X ))),
% 1.15/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.67 fof(f5,negated_conjecture,(
% 1.15/0.67 multiply(a,inverse(a),b) != b ),
% 1.15/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.15/0.67 fof(f6,plain,(
% 1.15/0.67 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))=multiply(X0,X1,multiply(X2,X3,X4)))),
% 1.15/0.67 inference(cnf_transformation,[status(thm)],[f1])).
% 1.15/0.67 fof(f7,plain,(
% 1.15/0.67 ![X0,X1]: (multiply(X0,X1,X1)=X1)),
% 1.15/0.67 inference(cnf_transformation,[status(thm)],[f2])).
% 1.15/0.67 fof(f8,plain,(
% 1.15/0.67 ![X0,X1]: (multiply(X0,X0,X1)=X0)),
% 1.15/0.67 inference(cnf_transformation,[status(thm)],[f3])).
% 1.15/0.67 fof(f9,plain,(
% 1.15/0.67 ![X0,X1]: (multiply(inverse(X0),X0,X1)=X1)),
% 1.15/0.67 inference(cnf_transformation,[status(thm)],[f4])).
% 1.15/0.67 fof(f10,plain,(
% 1.15/0.67 ~multiply(a,inverse(a),b)=b),
% 1.15/0.67 inference(cnf_transformation,[status(thm)],[f5])).
% 1.15/0.67 fof(f11,definition,(
% 1.15/0.67 sF1_fnc=inverse(a)),
% 1.15/0.67 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 1.15/0.67 fof(f12,definition,(
% 1.15/0.67 sF0_fnc=multiply(a,sF1_fnc,b)),
% 1.15/0.67 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 1.15/0.67 fof(f13,plain,(
% 1.15/0.67 ~sF0_fnc=b),
% 1.15/0.67 inference(definition_folding,[],[f10,f12,f11])).
% 1.15/0.67 fof(f15,plain,(
% 1.15/0.67 ![X0,X1]: (multiply(sF0_fnc,X0,multiply(a,sF1_fnc,X1))=multiply(a,sF1_fnc,multiply(b,X0,X1)))),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f12,f6])).
% 1.15/0.67 fof(f20,plain,(
% 1.15/0.67 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1,X2),X3,X1)=multiply(X0,X1,multiply(X2,X3,X1)))),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f7,f6])).
% 1.15/0.67 fof(f27,plain,(
% 1.15/0.67 ![X0,X1,X2,X3]: (multiply(X0,X1,multiply(X0,X0,X2))=multiply(X0,X0,multiply(X3,X1,X2)))),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f8,f6])).
% 1.15/0.67 fof(f30,plain,(
% 1.15/0.67 ![X0,X1,X2,X3]: (multiply(X0,X1,X0)=multiply(X0,X0,multiply(X2,X1,X3)))),
% 1.15/0.67 inference(forward_demodulation,[status(thm)],[f8,f27])).
% 1.15/0.67 fof(f31,plain,(
% 1.15/0.67 ![X0,X1]: (multiply(X0,X1,X0)=X0)),
% 1.15/0.67 inference(forward_demodulation,[status(thm)],[f8,f30])).
% 1.15/0.67 fof(f33,plain,(
% 1.15/0.67 ![X0]: (multiply(sF1_fnc,a,X0)=X0)),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f11,f9])).
% 1.15/0.67 fof(f63,plain,(
% 1.15/0.67 ![X0]: (multiply(sF0_fnc,X0,sF1_fnc)=multiply(a,sF1_fnc,multiply(b,X0,sF1_fnc)))),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f12,f20])).
% 1.15/0.67 fof(f165,plain,(
% 1.15/0.67 ![X0]: (multiply(sF0_fnc,X0,a)=multiply(a,sF1_fnc,multiply(b,X0,a)))),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f31,f15])).
% 1.15/0.67 fof(f216,plain,(
% 1.15/0.67 multiply(sF0_fnc,b,sF1_fnc)=multiply(a,sF1_fnc,b)),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f8,f63])).
% 1.15/0.67 fof(f226,plain,(
% 1.15/0.67 multiply(sF0_fnc,b,sF1_fnc)=sF0_fnc),
% 1.15/0.67 inference(forward_demodulation,[status(thm)],[f12,f216])).
% 1.15/0.67 fof(f234,plain,(
% 1.15/0.67 ![X0]: (multiply(sF0_fnc,X0,b)=multiply(sF0_fnc,b,multiply(sF1_fnc,X0,b)))),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f226,f20])).
% 1.15/0.67 fof(f239,plain,(
% 1.15/0.67 multiply(sF0_fnc,a,b)=multiply(sF0_fnc,b,b)),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f33,f234])).
% 1.15/0.67 fof(f248,plain,(
% 1.15/0.67 multiply(sF0_fnc,a,b)=b),
% 1.15/0.67 inference(forward_demodulation,[status(thm)],[f7,f239])).
% 1.15/0.67 fof(f283,plain,(
% 1.15/0.67 multiply(sF0_fnc,b,a)=multiply(a,sF1_fnc,b)),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f8,f165])).
% 1.15/0.67 fof(f293,plain,(
% 1.15/0.67 multiply(sF0_fnc,b,a)=sF0_fnc),
% 1.15/0.67 inference(forward_demodulation,[status(thm)],[f12,f283])).
% 1.15/0.67 fof(f633,plain,(
% 1.15/0.67 ![X0]: (multiply(sF0_fnc,X0,b)=multiply(sF0_fnc,b,multiply(a,X0,b)))),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f293,f20])).
% 1.15/0.67 fof(f1069,plain,(
% 1.15/0.67 multiply(sF0_fnc,a,b)=multiply(sF0_fnc,b,a)),
% 1.15/0.67 inference(paramodulation,[status(thm)],[f8,f633])).
% 1.15/0.67 fof(f1087,plain,(
% 1.15/0.67 b=sF0_fnc),
% 1.15/0.67 inference(backward_demodulation,[status(thm)],[f1088,f293])).
% 1.15/0.68 fof(f1088,plain,(
% 1.15/0.68 b=multiply(sF0_fnc,b,a)),
% 1.15/0.68 inference(forward_demodulation,[status(thm)],[f248,f1069])).
% 1.15/0.68 fof(f1107,plain,(
% 1.15/0.68 $false),
% 1.15/0.68 inference(forward_subsumption_resolution,[status(thm)],[f1087,f13])).
% 1.15/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 1.15/0.69 % Elapsed time: 0.310940 seconds
% 1.15/0.69 % CPU time: 2.318747 seconds
% 1.15/0.69 % Total memory used: 57.601 MB
% 1.15/0.69 % Net memory used: 57.033 MB
%------------------------------------------------------------------------------