%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP088-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:35:37 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP088-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:57:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f1,axiom,(
% 0.14/0.44 (![X,Y,Z]: (divide(X,divide(Y,divide(Z,divide(X,Y)))) = Z ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f2,axiom,(
% 0.14/0.44 (![X,Y,Z]: (multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f3,axiom,(
% 0.14/0.44 (![X,Z]: (inverse(X) = divide(divide(Z,Z),X) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f4,negated_conjecture,(
% 0.14/0.44 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))| multiply(a4,b4) != multiply(b4,a4) ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f5,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,divide(X1,divide(X2,divide(X0,X1))))=X2)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.44 fof(f6,plain,(
% 0.14/0.44 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.44 fof(f7,plain,(
% 0.14/0.44 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.44 fof(f8,plain,(
% 0.14/0.44 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.44 fof(f9,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.14/0.44 fof(f11,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f7,f9])).
% 0.14/0.44 fof(f13,plain,(
% 0.14/0.44 ![X0,X1]: (inverse(X0)=divide(multiply(inverse(X1),X1),X0))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f9,f7])).
% 0.14/0.44 fof(f15,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f9,f11])).
% 0.14/0.44 fof(f16,plain,(
% 0.14/0.44 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f15,f8])).
% 0.14/0.44 fof(f194,plain,(
% 0.14/0.44 ![X0,X1,X2]: (inverse(divide(X0,divide(X1,divide(multiply(inverse(X2),X2),X0))))=X1)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f13,f5])).
% 0.14/0.44 fof(f213,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,inverse(divide(X1,divide(X0,divide(X2,X2)))))=X1)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.14/0.44 fof(f236,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1))))=X2)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f9,f5])).
% 0.14/0.44 fof(f247,plain,(
% 0.14/0.44 ![X0,X1]: (inverse(divide(X0,divide(X1,inverse(X0))))=X1)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f13,f194])).
% 0.14/0.44 fof(f248,plain,(
% 0.14/0.44 ![X0,X1]: (inverse(divide(X0,multiply(X1,X0)))=X1)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f9,f247])).
% 0.14/0.44 fof(f284,plain,(
% 0.14/0.44 ![X0,X1,X2]: (multiply(X0,divide(X1,divide(X0,divide(X2,X2))))=X1)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f9,f213])).
% 0.14/0.44 fof(f352,plain,(
% 0.14/0.44 ![X0,X1]: (inverse(divide(X0,inverse(inverse(X0))))=divide(X1,X1))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f11,f248])).
% 0.14/0.44 fof(f368,plain,(
% 0.14/0.44 ![X0,X1]: (inverse(multiply(X0,inverse(X0)))=divide(X1,X1))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f9,f352])).
% 0.14/0.44 fof(f376,plain,(
% 0.14/0.44 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f368,f368])).
% 0.14/0.44 fof(f417,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,divide(X1,inverse(multiply(X2,inverse(X2)))))=divide(X0,X1))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f368,f5])).
% 0.14/0.44 fof(f419,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,divide(X0,divide(X1,inverse(multiply(X2,inverse(X2))))))=X1)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f368,f5])).
% 0.14/0.44 fof(f438,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,multiply(X1,multiply(X2,inverse(X2))))=divide(X0,X1))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f9,f417])).
% 0.14/0.44 fof(f439,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,divide(X0,multiply(X1,multiply(X2,inverse(X2)))))=X1)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f9,f419])).
% 0.14/0.44 fof(f440,plain,(
% 0.14/0.44 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f438,f439])).
% 0.14/0.44 fof(f479,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,divide(X1,divide(X2,X2)))=divide(X0,X1))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f376,f5])).
% 0.14/0.44 fof(f519,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f479,f284])).
% 0.14/0.44 fof(f535,plain,(
% 0.14/0.44 ![X0,X1]: (inverse(divide(multiply(inverse(X0),X0),X1))=X1)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f13,f440])).
% 0.14/0.44 fof(f558,plain,(
% 0.14/0.44 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f9,f440])).
% 0.14/0.44 fof(f586,plain,(
% 0.14/0.44 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f659,f16])).
% 0.14/0.44 fof(f659,plain,(
% 0.14/0.44 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f13,f535])).
% 0.14/0.44 fof(f699,plain,(
% 0.14/0.44 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.44 inference(trivial_equality_resolution,[status(thm)],[f586])).
% 0.14/0.44 fof(f814,plain,(
% 0.14/0.44 ![X0,X1]: (inverse(X0)=divide(X1,multiply(X0,X1)))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f248,f659])).
% 0.14/0.44 fof(f818,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f659,f9])).
% 0.14/0.44 fof(f873,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f440,f519])).
% 0.14/0.44 fof(f916,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f13,f873])).
% 0.14/0.44 fof(f922,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f9,f873])).
% 0.14/0.44 fof(f927,plain,(
% 0.14/0.44 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.44 inference(backward_subsumption_resolution,[status(thm)],[f699,f916])).
% 0.14/0.44 fof(f928,plain,(
% 0.14/0.44 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f818,f922])).
% 0.14/0.44 fof(f940,plain,(
% 0.14/0.44 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f928,f519])).
% 0.14/0.44 fof(f944,plain,(
% 0.14/0.44 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.14/0.44 inference(backward_subsumption_resolution,[status(thm)],[f927,f940])).
% 0.14/0.44 fof(f1102,plain,(
% 0.14/0.44 ![X0,X1]: (divide(divide(X0,X1),X0)=inverse(X1))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f873,f558])).
% 0.14/0.44 fof(f1150,plain,(
% 0.14/0.44 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f940,f944])).
% 0.14/0.44 fof(f1162,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,divide(inverse(X1),X2))=multiply(X2,multiply(X0,X1)))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f928,f236])).
% 0.14/0.44 fof(f1328,plain,(
% 0.14/0.44 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X0,X1)))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f814,f1102])).
% 0.14/0.44 fof(f1344,plain,(
% 0.14/0.44 ![X0,X1,X2]: (divide(X0,inverse(multiply(X1,X2)))=multiply(X2,multiply(X0,X1)))),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f1328,f1162])).
% 0.14/0.44 fof(f1353,plain,(
% 0.14/0.44 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X2,multiply(X0,X1)))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f9,f1344])).
% 0.14/0.44 fof(f1354,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(backward_subsumption_resolution,[status(thm)],[f1150,f1353])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.46 % Elapsed time: 0.098707 seconds
% 0.14/0.46 % CPU time: 0.363720 seconds
% 0.14/0.46 % Total memory used: 71.517 MB
% 0.14/0.46 % Net memory used: 70.648 MB
%------------------------------------------------------------------------------