%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM019-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:42:09 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM019-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n006.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 01:58:42 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.50 fof(f7,hypothesis,(
% 0.19/0.50 (![X]: (equalish(X,X) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f8,hypothesis,(
% 0.19/0.50 (![X,Y,Z]: (( ~ equalish(X,Y)| ~ equalish(X,Z)| equalish(Y,Z) ) ))),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f10,hypothesis,(
% 0.19/0.50 equalish(a,aa) ),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f11,negated_conjecture,(
% 0.19/0.50 ~ equalish(aa,a) ),
% 0.19/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f18,plain,(
% 0.19/0.50 ![X0]: (equalish(X0,X0))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.50 fof(f19,plain,(
% 0.19/0.50 ![Y,Z]: ((![X]: (~equalish(X,Y)|~equalish(X,Z)))|equalish(Y,Z))),
% 0.19/0.50 inference(miniscoping,[status(thm)],[f8])).
% 0.19/0.50 fof(f20,plain,(
% 0.19/0.50 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X0,X2)|equalish(X1,X2))),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f19])).
% 0.19/0.50 fof(f22,plain,(
% 0.19/0.50 equalish(a,aa)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f10])).
% 0.19/0.50 fof(f23,plain,(
% 0.19/0.50 ~equalish(aa,a)),
% 0.19/0.50 inference(cnf_transformation,[status(thm)],[f11])).
% 0.19/0.50 fof(f24,plain,(
% 0.19/0.50 ![X0]: (~equalish(X0,aa)|~equalish(X0,a))),
% 0.19/0.50 inference(resolution,[status(thm)],[f20,f23])).
% 0.19/0.50 fof(f26,plain,(
% 0.19/0.50 ~equalish(a,aa)),
% 0.19/0.50 inference(resolution,[status(thm)],[f24,f18])).
% 0.19/0.50 fof(f27,plain,(
% 0.19/0.50 $false),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f26,f22])).
% 0.19/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.56 % Elapsed time: 0.084699 seconds
% 0.22/0.56 % CPU time: 0.091984 seconds
% 0.22/0.56 % Total memory used: 1.734 MB
% 0.22/0.56 % Net memory used: 1.728 MB
%------------------------------------------------------------------------------