%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 03:18:43 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 : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:43:53 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(f2,axiom,(
% 0.09/0.40 (![X,Y]: (( ~ equalish(X,Y)| equalish(Y,X) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![X,Y,Z]: (( ~ equalish(X,Y)| ~ equalish(Y,Z)| equalish(X,Z) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f22,negated_conjecture,(
% 0.09/0.40 ~ equalish(m,n) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f23,negated_conjecture,(
% 0.09/0.40 equalish(n,k) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f26,negated_conjecture,(
% 0.09/0.40 equalish(m,k) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ![X0,X1]: (~equalish(X0,X1)|equalish(X1,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f29,plain,(
% 0.09/0.40 ![X,Z]: ((![Y]: (~equalish(X,Y)|~equalish(Y,Z)))|equalish(X,Z))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X1,X2)|equalish(X0,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.40 fof(f53,plain,(
% 0.09/0.40 ~equalish(m,n)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.40 fof(f54,plain,(
% 0.09/0.40 equalish(n,k)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.40 fof(f57,plain,(
% 0.09/0.40 equalish(m,k)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.40 fof(f58,plain,(
% 0.09/0.40 equalish(k,n)),
% 0.09/0.40 inference(resolution,[status(thm)],[f28,f54])).
% 0.09/0.40 fof(f64,plain,(
% 0.09/0.40 ![X0]: (~equalish(X0,k)|equalish(X0,n))),
% 0.09/0.40 inference(resolution,[status(thm)],[f58,f30])).
% 0.09/0.40 fof(f72,plain,(
% 0.09/0.40 equalish(m,n)),
% 0.09/0.40 inference(resolution,[status(thm)],[f64,f57])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f72,f53])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.042257 seconds
% 0.09/0.43 % CPU time: 0.112219 seconds
% 0.09/0.43 % Total memory used: 15.489 MB
% 0.09/0.43 % Net memory used: 15.243 MB
%------------------------------------------------------------------------------