%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% 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 12:36:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.76 % Computer : n010.cluster.edu
% 0.10/0.76 % Model : x86_64 x86_64
% 0.10/0.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.76 % Memory : 8046.5625MB
% 0.10/0.76 % OS : Linux 6.8.0-71-generic
% 0.10/0.76 % CPULimit : 300
% 0.10/0.76 % WCLimit : 300
% 0.10/0.76 % DateTime : Sun Sep 20 20:16:56 UTC 2026
% 0.10/0.76 % CPUTime :
% 0.10/0.77 % Drodi V4.1.1
% 0.10/0.79 % Refutation found
% 0.10/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.79 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.79 fof(f1,axiom,(
% 0.10/0.79 (![A,B,C]: (divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B ))),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f2,axiom,(
% 0.10/0.79 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f3,negated_conjecture,(
% 0.10/0.79 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.10/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.79 fof(f4,plain,(
% 0.10/0.79 ![X0,X1,X2]: (divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2)=X1)),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.79 fof(f5,plain,(
% 0.10/0.79 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.79 fof(f6,plain,(
% 0.10/0.79 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.10/0.79 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.79 fof(f12,plain,(
% 0.10/0.79 ![X0,X1,X2]: (divide(multiply(X0,divide(X1,divide(X0,X2))),X2)=X1)),
% 0.10/0.79 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.10/0.79 fof(f13,plain,(
% 0.10/0.79 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2)=X1)),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f5,f12])).
% 0.10/0.79 fof(f14,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,divide(X0,X2)))))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.10/0.79 fof(f18,plain,(
% 0.10/0.79 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2)=X1)),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.10/0.79 fof(f21,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,multiply(X0,X2)))))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f12,f18])).
% 0.10/0.79 fof(f27,plain,(
% 0.10/0.79 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X2))=X1)),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f21,f12])).
% 0.10/0.79 fof(f37,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (divide(multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X2),X1)=X3)),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f18,f27])).
% 0.10/0.79 fof(f45,plain,(
% 0.10/0.79 ![X0,X1,X2,X3,X4]: (divide(multiply(X0,X1),X2)=multiply(multiply(X3,divide(X4,divide(X3,divide(X0,X2)))),divide(X1,X4)))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f12,f14])).
% 0.10/0.79 fof(f56,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(divide(multiply(X0,X3),X2),divide(X1,X3)))),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f14,f45])).
% 0.10/0.79 fof(f61,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X3))=multiply(X1,divide(X2,X3)))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f27,f56])).
% 0.10/0.79 fof(f65,plain,(
% 0.10/0.79 ![X0,X1,X2,X3,X4]: (divide(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X4)=multiply(divide(X1,X4),divide(X3,X2)))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f18,f56])).
% 0.10/0.79 fof(f69,plain,(
% 0.10/0.79 ![X0,X1,X2,X3,X4]: (divide(multiply(X0,multiply(X1,divide(X2,divide(X1,X3)))),X4)=multiply(divide(multiply(X0,X3),X4),X2))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f12,f56])).
% 0.10/0.79 fof(f75,plain,(
% 0.10/0.79 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.10/0.79 inference(backward_demodulation,[status(thm)],[f61,f27])).
% 0.10/0.79 fof(f83,plain,(
% 0.10/0.79 ![X0,X1,X2]: (X0=multiply(X1,divide(X0,multiply(X1,divide(X2,X2)))))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f18,f75])).
% 0.10/0.79 fof(f86,plain,(
% 0.10/0.79 ![X0,X1]: (multiply(X0,multiply(inverse(X1),X1))=X0)),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f5,f75])).
% 0.10/0.79 fof(f94,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),divide(X2,X2))=multiply(X3,divide(X1,divide(X3,X0))))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f75,f21])).
% 0.10/0.79 fof(f96,plain,(
% 0.10/0.79 ![X0,X1]: (X0=multiply(X1,divide(X0,X1)))),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f75,f83])).
% 0.10/0.79 fof(f98,plain,(
% 0.10/0.79 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(divide(X0,X2),X1))),
% 0.10/0.79 inference(backward_demodulation,[status(thm)],[f106,f14])).
% 0.10/0.79 fof(f100,plain,(
% 0.10/0.79 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.10/0.79 inference(backward_demodulation,[status(thm)],[f106,f12])).
% 0.10/0.79 fof(f101,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (divide(multiply(X0,multiply(X1,X2)),X3)=multiply(divide(multiply(X0,X1),X3),X2))),
% 0.10/0.79 inference(backward_demodulation,[status(thm)],[f106,f69])).
% 0.10/0.79 fof(f106,plain,(
% 0.10/0.79 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X2,divide(X1,divide(X2,X0))))),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f75,f94])).
% 0.10/0.79 fof(f117,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (divide(multiply(multiply(X0,divide(X1,multiply(X0,X2))),multiply(X3,X2)),X1)=X3)),
% 0.10/0.79 inference(backward_demodulation,[status(thm)],[f122,f37])).
% 0.10/0.79 fof(f122,plain,(
% 0.10/0.79 ![X0,X1,X2,X3]: (divide(multiply(X0,multiply(X1,X2)),X3)=divide(multiply(multiply(X0,X1),X2),X3))),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f98,f101])).
% 0.10/0.79 fof(f148,plain,(
% 0.10/0.79 ![X0,X1,X2]: (multiply(divide(X0,X0),divide(multiply(X1,X2),X2))=X1)),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f65,f117])).
% 0.10/0.79 fof(f149,plain,(
% 0.10/0.79 ![X0,X1,X2]: (divide(multiply(X0,divide(multiply(X1,X2),X2)),X0)=X1)),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f98,f148])).
% 0.10/0.79 fof(f150,plain,(
% 0.10/0.79 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f100,f149])).
% 0.10/0.79 fof(f170,plain,(
% 0.10/0.79 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(X0,X2)))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f150,f18])).
% 0.10/0.79 fof(f179,plain,(
% 0.10/0.79 ~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.10/0.79 inference(backward_demodulation,[status(thm)],[f170,f6])).
% 0.10/0.79 fof(f228,plain,(
% 0.10/0.79 ![X0,X1]: (divide(X0,multiply(inverse(X1),X1))=X0)),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f86,f150])).
% 0.10/0.79 fof(f358,plain,(
% 0.10/0.79 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f100,f228])).
% 0.10/0.79 fof(f374,plain,(
% 0.10/0.79 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f170,f358])).
% 0.10/0.79 fof(f387,plain,(
% 0.10/0.79 ![X0,X1]: (divide(X0,inverse(X1))=multiply(X1,X0))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f96,f374])).
% 0.10/0.79 fof(f454,plain,(
% 0.10/0.79 ![X0,X1,X2]: (divide(multiply(X0,X1),inverse(X2))=multiply(multiply(X2,X0),X1))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f387,f98])).
% 0.10/0.79 fof(f468,plain,(
% 0.10/0.79 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.10/0.79 inference(forward_demodulation,[status(thm)],[f387,f454])).
% 0.10/0.79 fof(f589,plain,(
% 0.10/0.79 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 0.10/0.79 inference(paramodulation,[status(thm)],[f170,f468])).
% 0.10/0.79 fof(f608,plain,(
% 0.10/0.79 $false),
% 0.10/0.79 inference(backward_subsumption_resolution,[status(thm)],[f179,f589])).
% 0.10/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 5.67/2.03 % Elapsed time: 1.044606 seconds
% 5.67/2.03 % CPU time: 0.119177 seconds
% 5.67/2.03 % Total memory used: 3.370 MB
% 5.67/2.03 % Net memory used: 3.273 MB
%------------------------------------------------------------------------------