%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:37:08 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP671-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:31:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f5,axiom,(
% 0.13/0.40 (![A]: (mult(A,unit) = A ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,axiom,(
% 0.13/0.40 (![A]: (mult(unit,A) = A ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,axiom,(
% 0.13/0.40 (![A,B,C]: (mult(mult(A,B),mult(C,mult(A,B))) = mult(mult(mult(A,mult(B,C)),A),B) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,negated_conjecture,(
% 0.13/0.40 mult(mult(a,b),a) != mult(a,mult(b,a)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![X0]: (mult(X0,unit)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 ![X0]: (mult(unit,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X2,mult(X0,X1)))=mult(mult(mult(X0,mult(X1,X2)),X0),X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f20,plain,(
% 0.13/0.40 ~mult(mult(a,b),a)=mult(a,mult(b,a))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 ![X0,X1]: (mult(mult(X0,unit),mult(X1,mult(X0,unit)))=mult(mult(X0,mult(unit,X1)),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f15,f19])).
% 0.13/0.40 fof(f95,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,mult(X0,unit)))=mult(mult(X0,mult(unit,X1)),X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f15,f82])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,X0))=mult(mult(X0,mult(unit,X1)),X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f15,f95])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 ~mult(a,mult(b,a))=mult(a,mult(b,a))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f99,f20])).
% 0.13/0.40 fof(f99,plain,(
% 0.13/0.40 ![X0,X1]: (mult(X0,mult(X1,X0))=mult(mult(X0,X1),X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f16,f96])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f98])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 6.21/1.63 % Elapsed time: 1.048817 seconds
% 6.21/1.63 % CPU time: 0.098236 seconds
% 6.21/1.63 % Total memory used: 7.103 MB
% 6.21/1.63 % Net memory used: 7.080 MB
%------------------------------------------------------------------------------