%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP513-1 : 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 : n003.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 12:36:44 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP513-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:16:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![A,B,C]: (multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,negated_conjecture,(
% 0.14/0.38 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f4,plain,(
% 0.14/0.38 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f10,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2)))))))=X3)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f3,f10])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f12,f10])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,multiply(X2,inverse(X2))),inverse(X3))))))=X3)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f12,f10])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(multiply(X0,multiply(X1,inverse(X2))))))=X2)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f12,f22])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1))))=X0)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f20,f10])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(X1)))=multiply(X0,X2))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f3,f26])).
% 0.14/0.38 fof(f63,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(X0)))=multiply(X2,X1))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f31,f26])).
% 0.14/0.38 fof(f73,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X1,multiply(X0,inverse(X2))))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f20,f63])).
% 0.14/0.38 fof(f136,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(multiply(X0,X2),X1))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f63,f37])).
% 0.14/0.38 fof(f185,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,inverse(X1)),X2))=multiply(X0,X2))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f136,f37])).
% 0.14/0.38 fof(f250,plain,(
% 0.14/0.38 ![X0,X1]: (X0=multiply(X0,inverse(multiply(X1,inverse(X1)))))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f12,f185])).
% 0.14/0.38 fof(f291,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(multiply(X2,inverse(X2)))))=multiply(X1,X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f250,f73])).
% 0.14/0.38 fof(f299,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f250,f291])).
% 0.14/0.38 fof(f402,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(X0,X2)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f136,f299])).
% 0.14/0.38 fof(f407,plain,(
% 0.14/0.38 ![X0,X1]: (X0=multiply(multiply(X1,inverse(X1)),X0))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f12,f299])).
% 0.14/0.38 fof(f424,plain,(
% 0.14/0.38 ~multiply(inverse(a1),a1)=multiply(b1,inverse(b1))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f299,f4])).
% 0.14/0.38 fof(f462,plain,(
% 0.14/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f402,f407])).
% 0.14/0.38 fof(f500,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(inverse(X1),X1))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f12,f462])).
% 0.14/0.38 fof(f517,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f424,f500])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.035014 seconds
% 0.14/0.40 % CPU time: 0.098453 seconds
% 0.14/0.40 % Total memory used: 4.350 MB
% 0.14/0.40 % Net memory used: 4.264 MB
%------------------------------------------------------------------------------