%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP519-1 : 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 : 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 12:36:45 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP519-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n016.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:20:23 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (![A,B,C]: (multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,negated_conjecture,(
% 0.13/0.37 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,plain,(
% 0.13/0.37 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1))=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.37 fof(f4,plain,(
% 0.13/0.37 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.37 fof(f10,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1),X3))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.13/0.37 fof(f11,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(multiply(X0,X3)),X1),X3)))=X2)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.13/0.37 fof(f13,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(X3),X1),multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X4)),X3),X4)))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f3,f10])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1)))=X2)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f10,f3])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(X3),X1),multiply(X0,multiply(X3,X2))))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f10,f13])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),X2)=X0)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.13/0.37 fof(f28,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,multiply(X1,multiply(X2,X3)))),multiply(X0,X2))=inverse(multiply(X1,X3)))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f3,f11])).
% 0.13/0.37 fof(f76,plain,(
% 0.13/0.37 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(X1),X2))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f39,f16])).
% 0.13/0.37 fof(f86,plain,(
% 0.13/0.37 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f76,f16])).
% 0.13/0.37 fof(f89,plain,(
% 0.13/0.37 ![X0,X1,X2]: (multiply(inverse(multiply(X0,multiply(X1,X2))),X1)=inverse(multiply(X0,X2)))),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f76,f28])).
% 0.13/0.37 fof(f101,plain,(
% 0.13/0.37 ![X0,X1]: (inverse(multiply(inverse(multiply(X0,X1)),X1))=X0)),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f89,f25])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 ![X0,X1]: (X0=multiply(inverse(multiply(inverse(X1),X1)),X0))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f3,f86])).
% 0.13/0.37 fof(f109,plain,(
% 0.13/0.37 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f86,f86])).
% 0.13/0.37 fof(f119,plain,(
% 0.13/0.37 ![X0,X1]: (inverse(multiply(inverse(X0),X1))=multiply(inverse(X1),X0))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f39,f101])).
% 0.13/0.37 fof(f123,plain,(
% 0.13/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))=X1)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f101,f39])).
% 0.13/0.37 fof(f127,plain,(
% 0.13/0.37 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f119,f108])).
% 0.13/0.37 fof(f140,plain,(
% 0.13/0.37 ![X0,X1]: (multiply(inverse(inverse(X0)),inverse(multiply(X1,X0)))=inverse(X1))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f109,f109])).
% 0.13/0.37 fof(f141,plain,(
% 0.13/0.37 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X0,X1)))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f86,f109])).
% 0.13/0.37 fof(f149,plain,(
% 0.13/0.37 ![X0,X1]: (inverse(multiply(inverse(X0),multiply(X1,X0)))=inverse(X1))),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f141,f140])).
% 0.13/0.37 fof(f152,plain,(
% 0.13/0.37 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f154,f123])).
% 0.13/0.38 fof(f154,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X1)=inverse(X0))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f119,f149])).
% 0.13/0.38 fof(f180,plain,(
% 0.13/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f127,f152])).
% 0.13/0.38 fof(f187,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,inverse(X1))=multiply(multiply(inverse(multiply(X1,X2)),X0),X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f3,f152])).
% 0.13/0.38 fof(f226,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(inverse(multiply(X0,X1)),X2),multiply(X3,X1))=multiply(multiply(inverse(X0),X3),X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f39,f19])).
% 0.13/0.38 fof(f232,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(multiply(inverse(X2),X3)),X1),multiply(X0,X3)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f39,f19])).
% 0.13/0.38 fof(f237,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),inverse(multiply(inverse(X3),X1)))=multiply(X0,multiply(X3,X2)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f19,f152])).
% 0.13/0.38 fof(f251,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(inverse(X2)),X0),X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f226,f232])).
% 0.13/0.38 fof(f255,plain,(
% 0.13/0.38 ~multiply(b3,multiply(c3,a3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f274,f4])).
% 0.13/0.38 fof(f274,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X2,X0),X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f180,f251])).
% 0.13/0.38 fof(f281,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(inverse(multiply(inverse(X2),X0)),X3))=multiply(X3,multiply(X2,X1)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f274,f237])).
% 0.13/0.38 fof(f282,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),X2))=multiply(X3,multiply(X1,X0)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f274,f281])).
% 0.13/0.38 fof(f283,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(inverse(X2))))=multiply(X1,multiply(X2,X0)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f187,f282])).
% 0.13/0.38 fof(f284,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X2,X0)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f180,f283])).
% 0.13/0.38 fof(f289,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f255,f284])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.029553 seconds
% 0.13/0.39 % CPU time: 0.093312 seconds
% 0.13/0.39 % Total memory used: 4.297 MB
% 0.13/0.39 % Net memory used: 4.085 MB
%------------------------------------------------------------------------------