%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:07:43 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:56:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f11,axiom,(
% 0.12/0.37 (![X]: (identity_map(codomain(X)) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f12,axiom,(
% 0.12/0.37 (![X]: (defined(X,domain(X)) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f14,axiom,(
% 0.12/0.37 (![X]: (product(X,domain(X),X) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f16,axiom,(
% 0.12/0.37 (![X,Y]: (( ~ defined(X,Y)| ~ identity_map(X)| product(X,Y,Y) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f18,axiom,(
% 0.12/0.37 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f19,negated_conjecture,(
% 0.12/0.37 domain(codomain(a)) != codomain(a) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f38,plain,(
% 0.12/0.37 ![X0]: (identity_map(codomain(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.37 fof(f39,plain,(
% 0.12/0.37 ![X0]: (defined(X0,domain(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.37 fof(f41,plain,(
% 0.12/0.37 ![X0]: (product(X0,domain(X0),X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.37 fof(f43,plain,(
% 0.12/0.37 ![X0,X1]: (~defined(X0,X1)|~identity_map(X0)|product(X0,X1,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.37 fof(f45,plain,(
% 0.12/0.37 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f18])).
% 0.12/0.37 fof(f46,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.37 fof(f47,plain,(
% 0.12/0.37 ~domain(codomain(a))=codomain(a)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.37 fof(f54,plain,(
% 0.12/0.37 ![X0,X1]: (~defined(codomain(X0),X1)|product(codomain(X0),X1,X1))),
% 0.12/0.37 inference(resolution,[status(thm)],[f43,f38])).
% 0.12/0.37 fof(f57,plain,(
% 0.12/0.37 ![X0]: (product(codomain(X0),domain(codomain(X0)),domain(codomain(X0))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f54,f39])).
% 0.12/0.37 fof(f75,plain,(
% 0.12/0.37 ![X0,X1]: (~product(X0,domain(X0),X1)|X1=X0)),
% 0.12/0.37 inference(resolution,[status(thm)],[f46,f41])).
% 0.12/0.37 fof(f153,plain,(
% 0.12/0.37 ![X0]: (domain(codomain(X0))=codomain(X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f75,f57])).
% 0.12/0.37 fof(f175,plain,(
% 0.12/0.37 ~codomain(a)=codomain(a)),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f153,f47])).
% 0.12/0.37 fof(f190,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(trivial_equality_resolution,[status(thm)],[f175])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.031294 seconds
% 0.12/0.39 % CPU time: 0.084796 seconds
% 0.12/0.39 % Total memory used: 10.065 MB
% 0.12/0.39 % Net memory used: 10.024 MB
%------------------------------------------------------------------------------