%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:37:09 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n008.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 20:33:24 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.42 % Refutation found
% 0.07/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.42 fof(f5,axiom,(
% 0.07/0.42 (![A]: (mult(A,unit) = A ))),
% 0.07/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.42 fof(f7,axiom,(
% 0.07/0.42 (![A,B,C]: (mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C) ))),
% 0.07/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.42 fof(f8,axiom,(
% 0.07/0.42 (![A,B]: (mult(i(A),mult(A,B)) = B ))),
% 0.07/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.42 fof(f9,axiom,(
% 0.07/0.42 (![A]: (mult(op_c,A) = mult(A,op_c) ))),
% 0.07/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.42 fof(f10,negated_conjecture,(
% 0.07/0.42 mult(i(op_c),a) != mult(a,i(op_c)) ),
% 0.07/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.42 fof(f15,plain,(
% 0.07/0.42 ![X0]: (mult(X0,unit)=X0)),
% 0.07/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/0.42 fof(f17,plain,(
% 0.07/0.42 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X0,X2)))=mult(mult(X0,mult(X1,X0)),X2))),
% 0.07/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.07/0.42 fof(f18,plain,(
% 0.07/0.42 ![X0,X1]: (mult(i(X0),mult(X0,X1))=X1)),
% 0.07/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.07/0.42 fof(f19,plain,(
% 0.07/0.42 ![X0]: (mult(op_c,X0)=mult(X0,op_c))),
% 0.07/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.07/0.42 fof(f20,plain,(
% 0.07/0.42 ~mult(i(op_c),a)=mult(a,i(op_c))),
% 0.07/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.07/0.42 fof(f25,plain,(
% 0.07/0.42 ![X0,X1]: (mult(i(i(X0)),X1)=mult(X0,X1))),
% 0.07/0.42 inference(paramodulation,[status(thm)],[f18,f18])).
% 0.07/0.42 fof(f29,plain,(
% 0.07/0.42 ![X0]: (mult(i(X0),mult(op_c,X0))=op_c)),
% 0.07/0.42 inference(paramodulation,[status(thm)],[f19,f18])).
% 0.07/0.42 fof(f30,plain,(
% 0.07/0.42 ![X0,X1]: (X0=mult(X1,mult(i(X1),X0)))),
% 0.07/0.42 inference(paramodulation,[status(thm)],[f18,f25])).
% 0.07/0.42 fof(f89,plain,(
% 0.07/0.42 ![X0]: (mult(i(mult(i(op_c),X0)),X0)=op_c)),
% 0.07/0.42 inference(paramodulation,[status(thm)],[f30,f29])).
% 0.07/0.42 fof(f113,plain,(
% 0.07/0.42 ![X0]: (X0=mult(mult(i(op_c),X0),op_c))),
% 0.07/0.42 inference(paramodulation,[status(thm)],[f89,f30])).
% 0.07/0.42 fof(f123,plain,(
% 0.07/0.42 ![X0]: (mult(X0,i(op_c))=mult(i(op_c),mult(X0,mult(i(op_c),op_c))))),
% 0.07/0.42 inference(paramodulation,[status(thm)],[f17,f113])).
% 0.07/0.42 fof(f376,plain,(
% 0.07/0.42 unit=mult(i(op_c),op_c)),
% 0.07/0.42 inference(paramodulation,[status(thm)],[f15,f113])).
% 0.07/0.42 fof(f386,plain,(
% 0.07/0.42 ![X0]: (mult(X0,i(op_c))=mult(i(op_c),mult(X0,unit)))),
% 0.07/0.42 inference(backward_demodulation,[status(thm)],[f376,f123])).
% 0.07/0.42 fof(f405,plain,(
% 0.07/0.42 ![X0]: (mult(X0,i(op_c))=mult(i(op_c),X0))),
% 0.07/0.42 inference(forward_demodulation,[status(thm)],[f15,f386])).
% 0.07/0.42 fof(f406,plain,(
% 0.07/0.42 $false),
% 0.07/0.42 inference(backward_subsumption_resolution,[status(thm)],[f20,f405])).
% 0.07/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.43 % Elapsed time: 0.071695 seconds
% 0.07/0.43 % CPU time: 0.448755 seconds
% 0.07/0.43 % Total memory used: 22.473 MB
% 0.07/0.43 % Net memory used: 22.117 MB
%------------------------------------------------------------------------------