%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP086-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP086-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:01:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f1,axiom,(
% 0.13/0.44 (![X,Y,Z]: (multiply(X,multiply(multiply(Y,Z),inverse(multiply(X,Z)))) = Y ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f2,negated_conjecture,(
% 0.13/0.44 ( 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) ) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f3,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))=X1)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.44 fof(f4,plain,(
% 0.13/0.44 ~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)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.44 fof(f5,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2)))))))=X3)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.13/0.44 fof(f7,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f3,f5])).
% 0.13/0.44 fof(f15,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.13/0.44 fof(f26,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1))))=X0)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f15,f5])).
% 0.13/0.44 fof(f44,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(X0)))=multiply(X2,X1))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f26,f5])).
% 0.13/0.44 fof(f49,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X3,inverse(multiply(X3,X1)))),inverse(X0)))=X2)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f26,f3])).
% 0.13/0.44 fof(f50,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(multiply(X0,multiply(X2,inverse(multiply(X2,X3)))))))=multiply(X1,X3))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f26,f3])).
% 0.13/0.44 fof(f53,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2)=X0)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f44,f49])).
% 0.13/0.44 fof(f58,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X1,multiply(multiply(X0,X3),inverse(multiply(X2,X3)))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f3,f44])).
% 0.13/0.44 fof(f59,plain,(
% 0.13/0.44 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X1,multiply(X3,inverse(multiply(X2,multiply(multiply(X3,X4),inverse(multiply(X0,X4))))))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f5,f44])).
% 0.13/0.44 fof(f66,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,multiply(X0,inverse(X3))))))=multiply(X3,X1))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f44,f26])).
% 0.13/0.44 fof(f86,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X1,multiply(X3,inverse(multiply(X3,multiply(X2,inverse(X0)))))))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f58,f59])).
% 0.13/0.44 fof(f92,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(X1)))=multiply(X0,X2))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f86,f66])).
% 0.13/0.44 fof(f109,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(multiply(X0,X2),X1))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f44,f53])).
% 0.13/0.44 fof(f117,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f53,f15])).
% 0.13/0.44 fof(f156,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,inverse(X0)),X2))=multiply(X1,X2))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f109,f15])).
% 0.13/0.44 fof(f212,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X0,multiply(X2,inverse(multiply(X2,inverse(X1))))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f53,f92])).
% 0.13/0.44 fof(f249,plain,(
% 0.13/0.44 ![X0,X1]: (X0=multiply(X1,inverse(multiply(X1,inverse(X0)))))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f7,f156])).
% 0.13/0.44 fof(f257,plain,(
% 0.13/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X1,multiply(X3,inverse(multiply(X3,inverse(X0))))),X2))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f53,f156])).
% 0.13/0.46 fof(f271,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f249,f117])).
% 0.13/0.46 fof(f275,plain,(
% 0.13/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f300,f4])).
% 0.13/0.46 fof(f300,plain,(
% 0.13/0.46 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X1,X0),X2))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f212,f257])).
% 0.13/0.46 fof(f322,plain,(
% 0.13/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(b2,multiply(inverse(b2),a2))=a2|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f300,f275])).
% 0.13/0.46 fof(f323,plain,(
% 0.13/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(b2,multiply(inverse(b2),a2))=a2|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f322,f271])).
% 0.13/0.46 fof(f351,plain,(
% 0.13/0.46 ![X0,X1]: (X0=multiply(multiply(X1,inverse(X1)),X0))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f7,f271])).
% 0.13/0.46 fof(f361,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f271,f15])).
% 0.13/0.46 fof(f372,plain,(
% 0.13/0.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f300,f351])).
% 0.13/0.46 fof(f374,plain,(
% 0.13/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f361,f323])).
% 0.13/0.46 fof(f383,plain,(
% 0.13/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.46 inference(trivial_equality_resolution,[status(thm)],[f374])).
% 0.13/0.46 fof(f392,plain,(
% 0.13/0.46 ~multiply(a1,inverse(a1))=multiply(inverse(b1),b1)|~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f271,f383])).
% 0.13/0.46 fof(f405,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(inverse(X1),X1))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f7,f372])).
% 0.13/0.46 fof(f413,plain,(
% 0.13/0.46 ~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.46 inference(backward_subsumption_resolution,[status(thm)],[f392,f405])).
% 0.13/0.46 fof(f456,plain,(
% 0.13/0.46 ![X0,X1,X2]: (inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X1,X2)))))=multiply(X0,X2))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f372,f50])).
% 0.13/0.46 fof(f479,plain,(
% 0.13/0.46 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(X1,inverse(multiply(inverse(X0),multiply(X3,inverse(multiply(X3,X2)))))))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f50,f361])).
% 0.13/0.46 fof(f522,plain,(
% 0.13/0.46 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f456,f479])).
% 0.13/0.46 fof(f523,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(backward_subsumption_resolution,[status(thm)],[f413,f522])).
% 0.13/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.47 % Elapsed time: 0.108990 seconds
% 0.13/0.47 % CPU time: 0.599244 seconds
% 0.13/0.47 % Total memory used: 75.604 MB
% 0.13/0.47 % Net memory used: 74.786 MB
%------------------------------------------------------------------------------