%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP679-1 : 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 : n013.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 0.25s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP679-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 % Computer : n013.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 20 20:32:05 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.51 % Drodi V4.1.1
% 0.25/0.61 % Refutation found
% 0.25/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.25/0.61 fof(f2,axiom,(
% 0.25/0.61 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 0.25/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f5,axiom,(
% 0.25/0.61 (![A]: (mult(A,unit) = A ))),
% 0.25/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f6,axiom,(
% 0.25/0.61 (![A]: (mult(unit,A) = A ))),
% 0.25/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f7,axiom,(
% 0.25/0.61 (![A,B,C]: (mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C) ))),
% 0.25/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f8,axiom,(
% 0.25/0.61 (![A]: (mult(op_c,A) = mult(A,op_c) ))),
% 0.25/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f9,negated_conjecture,(
% 0.25/0.61 mult(mult(op_c,op_c),a) != mult(a,mult(op_c,op_c)) ),
% 0.25/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/0.61 fof(f11,plain,(
% 0.25/0.61 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f2])).
% 0.25/0.61 fof(f14,plain,(
% 0.25/0.61 ![X0]: (mult(X0,unit)=X0)),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f5])).
% 0.25/0.61 fof(f15,plain,(
% 0.25/0.61 ![X0]: (mult(unit,X0)=X0)),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f6])).
% 0.25/0.61 fof(f16,plain,(
% 0.25/0.61 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X0,X2)))=mult(mult(X0,mult(X1,X0)),X2))),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f7])).
% 0.25/0.61 fof(f17,plain,(
% 0.25/0.61 ![X0]: (mult(op_c,X0)=mult(X0,op_c))),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f8])).
% 0.25/0.61 fof(f18,plain,(
% 0.25/0.61 ~mult(mult(op_c,op_c),a)=mult(a,mult(op_c,op_c))),
% 0.25/0.61 inference(cnf_transformation,[status(thm)],[f9])).
% 0.25/0.61 fof(f33,plain,(
% 0.25/0.61 ![X0,X1]: (mult(op_c,mult(X0,mult(op_c,X1)))=mult(mult(op_c,mult(op_c,X0)),X1))),
% 0.25/0.61 inference(paramodulation,[status(thm)],[f17,f16])).
% 0.25/0.61 fof(f496,plain,(
% 0.25/0.61 ![X0]: (mult(op_c,mult(unit,mult(op_c,X0)))=mult(mult(op_c,op_c),X0))),
% 0.25/0.61 inference(paramodulation,[status(thm)],[f14,f33])).
% 0.25/0.61 fof(f507,plain,(
% 0.25/0.61 ~mult(op_c,mult(op_c,a))=mult(a,mult(op_c,op_c))),
% 0.25/0.61 inference(backward_demodulation,[status(thm)],[f508,f18])).
% 0.25/0.61 fof(f508,plain,(
% 0.25/0.61 ![X0]: (mult(op_c,mult(op_c,X0))=mult(mult(op_c,op_c),X0))),
% 0.25/0.61 inference(forward_demodulation,[status(thm)],[f15,f496])).
% 0.25/0.61 fof(f560,plain,(
% 0.25/0.61 ![X0]: (ld(op_c,mult(X0,op_c))=X0)),
% 0.25/0.61 inference(paramodulation,[status(thm)],[f17,f11])).
% 0.25/0.61 fof(f701,plain,(
% 0.25/0.61 ![X0]: (ld(op_c,mult(op_c,mult(X0,mult(op_c,op_c))))=mult(op_c,mult(op_c,X0)))),
% 0.25/0.61 inference(paramodulation,[status(thm)],[f33,f560])).
% 0.25/0.61 fof(f715,plain,(
% 0.25/0.61 ![X0]: (mult(X0,mult(op_c,op_c))=mult(op_c,mult(op_c,X0)))),
% 0.25/0.61 inference(forward_demodulation,[status(thm)],[f11,f701])).
% 0.25/0.61 fof(f716,plain,(
% 0.25/0.61 $false),
% 0.25/0.61 inference(backward_subsumption_resolution,[status(thm)],[f507,f715])).
% 0.25/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 9.16/1.85 % Elapsed time: 1.115047 seconds
% 9.16/1.85 % CPU time: 0.337012 seconds
% 9.16/1.85 % Total memory used: 8.552 MB
% 9.16/1.85 % Net memory used: 8.455 MB
%------------------------------------------------------------------------------