%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG235-1 : 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 : n007.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 11:49:55 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG235-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n007.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 13:07:20 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f1,axiom,(
% 0.17/0.46 (![A,B]: (mult(A,mult(B,mult(A,B))) = mult(A,B) ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f2,axiom,(
% 0.17/0.46 (![A,B,C,D]: (mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))) ))),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f4,negated_conjecture,(
% 0.17/0.46 mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))) ),
% 0.17/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f5,plain,(
% 0.17/0.46 ![X0,X1]: (mult(X0,mult(X1,mult(X0,X1)))=mult(X0,X1))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.46 fof(f6,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (mult(X0,mult(X1,mult(X2,X3)))=mult(X2,mult(X1,mult(X0,X3))))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.46 fof(f8,plain,(
% 0.17/0.46 ~mult(a,mult(b,mult(a,mult(c,mult(d,c)))))=mult(a,mult(b,mult(d,c)))),
% 0.17/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.46 fof(f26,plain,(
% 0.17/0.46 ![X0,X1,X2,X3]: (mult(X0,mult(X1,mult(X2,X3)))=mult(X2,mult(X1,mult(X0,mult(X3,mult(X2,X3))))))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f5,f6])).
% 0.17/0.46 fof(f35,plain,(
% 0.17/0.46 ~mult(a,mult(b,mult(d,mult(c,mult(a,c)))))=mult(a,mult(b,mult(d,c)))),
% 0.17/0.46 inference(paramodulation,[status(thm)],[f6,f8])).
% 0.17/0.46 fof(f41,plain,(
% 0.17/0.46 ~mult(d,mult(b,mult(a,c)))=mult(a,mult(b,mult(d,c)))),
% 0.17/0.46 inference(forward_demodulation,[status(thm)],[f26,f35])).
% 0.17/0.46 fof(f42,plain,(
% 0.17/0.46 $false),
% 0.17/0.46 inference(forward_subsumption_resolution,[status(thm)],[f41,f6])).
% 0.17/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 2.51/1.69 % Elapsed time: 1.029505 seconds
% 2.51/1.69 % CPU time: 0.035807 seconds
% 2.51/1.69 % Total memory used: 882.160 KB
% 2.51/1.69 % Net memory used: 857.552 KB
%------------------------------------------------------------------------------