%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP518-1 : 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 : n020.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 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP518-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:16:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![A,B,C]: (multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C ))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,negated_conjecture,(
% 0.10/0.39 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f3,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1))=X2)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f4,plain,(
% 0.10/0.39 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f9,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1),X3))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.10/0.39 fof(f15,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1)))=X2)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f9,f3])).
% 0.10/0.39 fof(f24,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),X2)=X0)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.10/0.39 fof(f47,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X2,multiply(X3,X1)))=multiply(multiply(inverse(X0),X2),X3))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f24,f9])).
% 0.10/0.39 fof(f48,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1)))=X2)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f24,f3])).
% 0.10/0.39 fof(f55,plain,(
% 0.10/0.39 ~a2=a2),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f56,f4])).
% 0.10/0.39 fof(f56,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f47,f48])).
% 0.10/0.39 fof(f57,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(trivial_equality_resolution,[status(thm)],[f55])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.029933 seconds
% 0.10/0.41 % CPU time: 0.043958 seconds
% 0.10/0.41 % Total memory used: 1.889 MB
% 0.10/0.41 % Net memory used: 1.849 MB
%------------------------------------------------------------------------------