%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP517-1 : 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 : 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 12:36:45 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP517-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:17:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![A,B,C]: (multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,negated_conjecture,(
% 0.13/0.38 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1))=X2)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f4,plain,(
% 0.13/0.38 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1),X3))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(multiply(X0,X3)),X1),X3)))=X2)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1)))=X2)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f10,f3])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),X2)=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,multiply(X1,multiply(X2,X3)))),multiply(X0,X2))=inverse(multiply(X1,X3)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f3,f11])).
% 0.13/0.38 fof(f76,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(X1),X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f39,f16])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f76,f16])).
% 0.13/0.38 fof(f89,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(inverse(multiply(X0,multiply(X1,X2))),X1)=inverse(multiply(X0,X2)))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f76,f28])).
% 0.13/0.38 fof(f101,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(multiply(inverse(multiply(X0,X1)),X1))=X0)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f89,f25])).
% 0.13/0.38 fof(f108,plain,(
% 0.13/0.38 ![X0,X1]: (X0=multiply(inverse(multiply(inverse(X1),X1)),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f3,f86])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(multiply(inverse(X0),X1))=multiply(inverse(X1),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f39,f101])).
% 0.13/0.38 fof(f127,plain,(
% 0.13/0.38 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f119,f108])).
% 0.13/0.38 fof(f135,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f127,f86])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f4,f135])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.025924 seconds
% 0.13/0.39 % CPU time: 0.069669 seconds
% 0.13/0.39 % Total memory used: 3.087 MB
% 0.13/0.39 % Net memory used: 2.906 MB
%------------------------------------------------------------------------------