%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT006-1 : 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 : n014.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 12:07:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % 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 13:55:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f6,axiom,(
% 0.09/0.42 (![Y,Z,Yz,X]: (( ~ product(Y,Z,Yz)| ~ defined(X,Yz)| defined(X,Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f11,axiom,(
% 0.09/0.42 (![X]: (identity_map(codomain(X)) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f15,axiom,(
% 0.09/0.42 (![X]: (product(codomain(X),X,X) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f16,axiom,(
% 0.09/0.42 (![X,Y]: (( ~ defined(X,Y)| ~ identity_map(X)| product(X,Y,Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f17,axiom,(
% 0.09/0.42 (![X,Y]: (( ~ defined(X,Y)| ~ identity_map(Y)| product(X,Y,X) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f18,axiom,(
% 0.09/0.42 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f19,hypothesis,(
% 0.09/0.42 defined(h,a) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f20,hypothesis,(
% 0.09/0.42 identity_map(h) ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f21,negated_conjecture,(
% 0.09/0.42 codomain(a) != h ),
% 0.09/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f31,plain,(
% 0.09/0.42 ![Y,X]: ((![Yz]: ((![Z]: ~product(Y,Z,Yz))|~defined(X,Yz)))|defined(X,Y))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.42 fof(f32,plain,(
% 0.09/0.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~defined(X3,X2)|defined(X3,X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.42 fof(f40,plain,(
% 0.09/0.42 ![X0]: (identity_map(codomain(X0)))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.42 fof(f44,plain,(
% 0.09/0.42 ![X0]: (product(codomain(X0),X0,X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.42 fof(f45,plain,(
% 0.09/0.42 ![X0,X1]: (~defined(X0,X1)|~identity_map(X0)|product(X0,X1,X1))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.42 fof(f46,plain,(
% 0.09/0.42 ![X0,X1]: (~defined(X0,X1)|~identity_map(X1)|product(X0,X1,X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.42 fof(f47,plain,(
% 0.09/0.42 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f18])).
% 0.09/0.42 fof(f48,plain,(
% 0.09/0.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.09/0.42 fof(f49,plain,(
% 0.09/0.42 defined(h,a)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.42 fof(f50,plain,(
% 0.09/0.42 identity_map(h)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.42 fof(f51,plain,(
% 0.09/0.42 ~codomain(a)=h),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.42 fof(f61,plain,(
% 0.09/0.42 ![X0]: (~defined(h,X0)|product(h,X0,X0))),
% 0.09/0.42 inference(resolution,[status(thm)],[f45,f50])).
% 0.09/0.42 fof(f94,plain,(
% 0.09/0.42 ![X0,X1]: (~defined(X0,codomain(X1))|product(X0,codomain(X1),X0))),
% 0.09/0.42 inference(resolution,[status(thm)],[f46,f40])).
% 0.09/0.42 fof(f179,plain,(
% 0.09/0.42 ![X0,X1]: (~product(X0,X1,a)|defined(h,X0))),
% 0.09/0.42 inference(resolution,[status(thm)],[f32,f49])).
% 0.09/0.42 fof(f253,plain,(
% 0.09/0.42 defined(h,codomain(a))),
% 0.09/0.42 inference(resolution,[status(thm)],[f179,f44])).
% 0.09/0.42 fof(f256,plain,(
% 0.09/0.42 product(h,codomain(a),codomain(a))),
% 0.09/0.42 inference(resolution,[status(thm)],[f253,f61])).
% 0.09/0.42 fof(f257,plain,(
% 0.09/0.42 product(h,codomain(a),h)),
% 0.09/0.42 inference(resolution,[status(thm)],[f253,f94])).
% 0.09/0.42 fof(f269,plain,(
% 0.09/0.42 ![X0]: (~product(h,codomain(a),X0)|X0=h)),
% 0.09/0.42 inference(resolution,[status(thm)],[f257,f48])).
% 0.09/0.42 fof(f735,plain,(
% 0.09/0.42 codomain(a)=h),
% 0.09/0.42 inference(resolution,[status(thm)],[f269,f256])).
% 0.09/0.42 fof(f739,plain,(
% 0.09/0.42 $false),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f735,f51])).
% 0.09/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.063702 seconds
% 0.09/0.44 % CPU time: 0.275969 seconds
% 0.09/0.44 % Total memory used: 42.727 MB
% 0.09/0.44 % Net memory used: 42.183 MB
%------------------------------------------------------------------------------