%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP703-10 : TPTP v9.3.1. Released v8.1.0.
% 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 12:37:12 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:35:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![A,B]: (mult(rd(A,B),B) = A ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (![A]: (mult(A,unit) = A ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,axiom,(
% 0.09/0.40 (![A]: (mult(unit,A) = A ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,axiom,(
% 0.09/0.40 (![A,B]: (mult(op_c,mult(A,B)) = mult(mult(op_c,A),B) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f12,axiom,(
% 0.09/0.40 (![A,B]: (op_e = mult(mult(rd(op_c,mult(A,B)),B),A) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f14,negated_conjecture,(
% 0.09/0.40 mult(op_e,mult(x2,x3)) != mult(mult(op_e,x2),x3) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 ![X0]: (mult(X0,unit)=X0)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f20,plain,(
% 0.09/0.40 ![X0]: (mult(unit,X0)=X0)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(mult(op_c,X0),X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 ![X0,X1]: (op_e=mult(mult(rd(op_c,mult(X0,X1)),X1),X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ~mult(op_e,mult(x2,x3))=mult(mult(op_e,x2),x3)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.40 fof(f158,plain,(
% 0.09/0.40 ![X0]: (op_e=mult(rd(op_c,mult(unit,X0)),X0))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f19,f26])).
% 0.09/0.40 fof(f175,plain,(
% 0.09/0.40 ![X0]: (op_e=mult(rd(op_c,X0),X0))),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f20,f158])).
% 0.09/0.40 fof(f179,plain,(
% 0.09/0.40 ~mult(op_e,mult(x2,x3))=mult(mult(op_c,x2),x3)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f180,f28])).
% 0.09/0.40 fof(f180,plain,(
% 0.09/0.40 op_e=op_c),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f17,f175])).
% 0.09/0.40 fof(f210,plain,(
% 0.09/0.40 ~mult(op_c,mult(x2,x3))=mult(mult(op_c,x2),x3)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f180,f179])).
% 0.09/0.40 fof(f211,plain,(
% 0.09/0.40 ~mult(op_c,mult(x2,x3))=mult(op_c,mult(x2,x3))),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f22,f210])).
% 0.09/0.40 fof(f212,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f211])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.028612 seconds
% 0.09/0.41 % CPU time: 0.103577 seconds
% 0.09/0.41 % Total memory used: 6.697 MB
% 0.09/0.41 % Net memory used: 6.663 MB
%------------------------------------------------------------------------------