%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 11:49:26 AM UTC 2026
% Result : Unsatisfiable 23.05s 3.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:54:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 23.05/3.46 % Refutation found
% 23.05/3.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.05/3.46 % SZS output start CNFRefutation for theBenchmark
% 23.05/3.46 fof(f2,axiom,(
% 23.05/3.46 (![X,Y,Z,U]: (( multiply(X,Y) != Z| multiply(X,U) != Z| Y = U ) ))),
% 23.05/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.46 fof(f3,axiom,(
% 23.05/3.46 (![X,Y,Z,U]: (multiply(multiply(X,Y),multiply(Z,U)) = multiply(multiply(X,Z),multiply(Y,U)) ))),
% 23.05/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.46 fof(f5,negated_conjecture,(
% 23.05/3.46 multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)) ),
% 23.05/3.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.05/3.46 fof(f8,plain,(
% 23.05/3.46 ![Y,U]: ((![X,Z]: (~multiply(X,Y)=Z|~multiply(X,U)=Z))|Y=U)),
% 23.05/3.46 inference(miniscoping,[status(thm)],[f2])).
% 23.05/3.46 fof(f9,plain,(
% 23.05/3.46 ![X0,X1,X2,X3]: (~multiply(X0,X1)=X2|~multiply(X0,X3)=X2|X1=X3)),
% 23.05/3.46 inference(cnf_transformation,[status(thm)],[f8])).
% 23.05/3.46 fof(f10,plain,(
% 23.05/3.46 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(X2,X3))=multiply(multiply(X0,X2),multiply(X1,X3)))),
% 23.05/3.46 inference(cnf_transformation,[status(thm)],[f3])).
% 23.05/3.46 fof(f12,plain,(
% 23.05/3.46 ~multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f))=multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f))),
% 23.05/3.46 inference(cnf_transformation,[status(thm)],[f5])).
% 23.05/3.46 fof(f13,plain,(
% 23.05/3.46 ~multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f))=multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f))),
% 23.05/3.46 inference(forward_demodulation,[status(thm)],[f10,f12])).
% 23.05/3.46 fof(f20,plain,(
% 23.05/3.46 ![X0,X1]: (~multiply(X0,multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)))=X1|~multiply(X0,multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f)))=X1)),
% 23.05/3.46 inference(resolution,[status(thm)],[f9,f13])).
% 23.05/3.46 fof(f27,plain,(
% 23.05/3.46 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(multiply(X0,X1),multiply(X2,X3)),multiply(X4,X5))=multiply(multiply(multiply(X0,X2),X4),multiply(multiply(X1,X3),X5)))),
% 23.05/3.46 inference(paramodulation,[status(thm)],[f10,f10])).
% 23.05/3.46 fof(f29,plain,(
% 23.05/3.46 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(X0,X1),multiply(multiply(X2,X3),multiply(X4,X5)))=multiply(multiply(X0,multiply(X2,X4)),multiply(X1,multiply(X3,X5))))),
% 23.05/3.46 inference(paramodulation,[status(thm)],[f10,f10])).
% 23.05/3.46 fof(f39,plain,(
% 23.05/3.46 ![X0,X1]: (~multiply(multiply(X0,X1),multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)))=multiply(multiply(X0,multiply(a,multiply(d,e))),multiply(X1,multiply(multiply(b,c),f))))),
% 23.05/3.46 inference(resolution,[status(thm)],[f20,f10])).
% 23.05/3.46 fof(f53,plain,(
% 23.05/3.46 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(multiply(X0,X1),multiply(X2,X3)),multiply(multiply(X4,X5),X6))=multiply(multiply(multiply(X0,X4),multiply(X1,X3)),multiply(multiply(X2,X5),X6)))),
% 23.05/3.46 inference(paramodulation,[status(thm)],[f27,f27])).
% 23.05/3.46 fof(f54,plain,(
% 23.05/3.46 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(multiply(X0,X1),X2),multiply(multiply(X3,X4),X5))=multiply(multiply(multiply(X0,X3),X2),multiply(multiply(X1,X4),X5)))),
% 23.05/3.46 inference(paramodulation,[status(thm)],[f10,f27])).
% 23.05/3.46 fof(f927,plain,(
% 23.05/3.46 ![X0,X1,X2,X3]: (~multiply(multiply(multiply(X0,multiply(X1,X2)),X3),multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)))=multiply(multiply(multiply(X0,a),multiply(multiply(X1,d),multiply(X2,e))),multiply(X3,multiply(multiply(b,c),f))))),
% 23.05/3.46 inference(paramodulation,[status(thm)],[f29,f39])).
% 23.05/3.46 fof(f958,plain,(
% 23.05/3.46 ![X0,X1,X2,X3]: (~multiply(multiply(multiply(X0,a),X1),multiply(multiply(multiply(X2,X3),multiply(d,c)),multiply(multiply(b,e),f)))=multiply(multiply(multiply(X0,a),multiply(multiply(X2,d),multiply(X3,e))),multiply(X1,multiply(multiply(b,c),f))))),
% 23.05/3.46 inference(forward_demodulation,[status(thm)],[f54,f927])).
% 23.05/3.46 fof(f2064,plain,(
% 23.05/3.46 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (multiply(multiply(X0,X1),multiply(multiply(multiply(X2,X3),multiply(X4,X5)),multiply(multiply(X6,X7),X8)))=multiply(multiply(X0,multiply(multiply(X2,X4),multiply(X3,X7))),multiply(X1,multiply(multiply(X6,X5),X8))))),
% 23.05/3.46 inference(paramodulation,[status(thm)],[f53,f29])).
% 23.05/3.46 fof(f2254,plain,(
% 23.05/3.46 $false),
% 23.05/3.46 inference(backward_subsumption_resolution,[status(thm)],[f958,f2064])).
% 23.05/3.46 % SZS output end CNFRefutation for theBenchmark.p
% 23.05/3.50 % Elapsed time: 3.125774 seconds
% 23.05/3.50 % CPU time: 24.549847 seconds
% 23.05/3.50 % Total memory used: 178.487 MB
% 23.05/3.50 % Net memory used: 171.522 MB
%------------------------------------------------------------------------------