%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP698-1 : 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 : n004.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 12:37:11 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP698-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:33:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.53 % Refutation found
% 0.14/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.53 fof(f3,axiom,(
% 0.14/0.53 (![A,B]: (mult(rd(A,B),B) = A ))),
% 0.14/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f4,axiom,(
% 0.14/0.53 (![A,B]: (rd(mult(A,B),B) = A ))),
% 0.14/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f5,axiom,(
% 0.14/0.53 (![A]: (mult(A,unit) = A ))),
% 0.14/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f7,axiom,(
% 0.14/0.53 (![A,B,C]: (mult(mult(mult(A,B),A),mult(A,C)) = mult(A,mult(mult(mult(B,A),A),C)) ))),
% 0.14/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f9,negated_conjecture,(
% 0.14/0.53 mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)) ),
% 0.14/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.53 fof(f12,plain,(
% 0.14/0.53 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.14/0.53 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.53 fof(f13,plain,(
% 0.14/0.53 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 0.14/0.53 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.53 fof(f14,plain,(
% 0.14/0.53 ![X0]: (mult(X0,unit)=X0)),
% 0.14/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.53 fof(f16,plain,(
% 0.14/0.53 ![X0,X1,X2]: (mult(mult(mult(X0,X1),X0),mult(X0,X2))=mult(X0,mult(mult(mult(X1,X0),X0),X2)))),
% 0.14/0.53 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.53 fof(f18,plain,(
% 0.14/0.53 ~mult(a,mult(b,c))=mult(rd(mult(a,b),a),mult(a,c))),
% 0.14/0.53 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.53 fof(f69,plain,(
% 0.14/0.53 ![X0,X1]: (mult(mult(mult(X0,X1),X0),X0)=mult(X0,mult(mult(mult(X1,X0),X0),unit)))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f14,f16])).
% 0.14/0.53 fof(f85,plain,(
% 0.14/0.53 ![X0,X1]: (mult(mult(mult(X0,X1),X0),X0)=mult(X0,mult(mult(X1,X0),X0)))),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f14,f69])).
% 0.14/0.53 fof(f180,plain,(
% 0.14/0.53 ![X0,X1]: (rd(mult(X0,mult(mult(X1,X0),X0)),X0)=mult(mult(X0,X1),X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f85,f13])).
% 0.14/0.53 fof(f209,plain,(
% 0.14/0.53 ![X0,X1]: (rd(mult(X0,mult(X1,X0)),X0)=mult(mult(X0,rd(X1,X0)),X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f12,f180])).
% 0.14/0.53 fof(f247,plain,(
% 0.14/0.53 ![X0,X1]: (rd(mult(X0,X1),X0)=mult(mult(X0,rd(rd(X1,X0),X0)),X0))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f12,f209])).
% 0.14/0.53 fof(f535,plain,(
% 0.14/0.53 ![X0,X1,X2]: (mult(rd(mult(X0,X1),X0),mult(X0,X2))=mult(X0,mult(mult(mult(rd(rd(X1,X0),X0),X0),X0),X2)))),
% 0.14/0.53 inference(paramodulation,[status(thm)],[f247,f16])).
% 0.14/0.53 fof(f571,plain,(
% 0.14/0.53 ![X0,X1,X2]: (mult(rd(mult(X0,X1),X0),mult(X0,X2))=mult(X0,mult(mult(rd(X1,X0),X0),X2)))),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f12,f535])).
% 0.14/0.53 fof(f572,plain,(
% 0.14/0.53 ![X0,X1,X2]: (mult(rd(mult(X0,X1),X0),mult(X0,X2))=mult(X0,mult(X1,X2)))),
% 0.14/0.53 inference(forward_demodulation,[status(thm)],[f12,f571])).
% 0.14/0.53 fof(f786,plain,(
% 0.14/0.53 ~mult(a,mult(b,c))=mult(a,mult(b,c))),
% 0.14/0.53 inference(backward_demodulation,[status(thm)],[f572,f18])).
% 0.14/0.53 fof(f831,plain,(
% 0.14/0.53 $false),
% 0.14/0.53 inference(trivial_equality_resolution,[status(thm)],[f786])).
% 0.14/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.58 % Elapsed time: 0.190614 seconds
% 0.14/0.58 % CPU time: 1.104786 seconds
% 0.14/0.58 % Total memory used: 41.674 MB
% 0.14/0.58 % Net memory used: 41.386 MB
%------------------------------------------------------------------------------