%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT014-1 : 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 : n020.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 0.07s 10.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/10.36 % Computer : n020.cluster.edu
% 0.07/10.36 % Model : x86_64 x86_64
% 0.07/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/10.36 % Memory : 8046.5625MB
% 0.07/10.36 % OS : Linux 6.8.0-71-generic
% 0.07/10.36 % CPULimit : 300
% 0.07/10.36 % WCLimit : 300
% 0.07/10.36 % DateTime : Mon Sep 21 13:57:13 UTC 2026
% 0.07/10.36 % CPUTime :
% 0.07/10.37 % Drodi V4.1.1
% 0.07/10.39 % Refutation found
% 0.07/10.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/10.39 % SZS output start CNFRefutation for theBenchmark
% 0.07/10.39 fof(f11,axiom,(
% 0.07/10.39 (![X]: (identity_map(codomain(X)) ))),
% 0.07/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f13,axiom,(
% 0.07/10.39 (![X]: (defined(codomain(X),X) ))),
% 0.07/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f15,axiom,(
% 0.07/10.39 (![X]: (product(codomain(X),X,X) ))),
% 0.07/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f17,axiom,(
% 0.07/10.39 (![X,Y]: (( ~ defined(X,Y)| ~ identity_map(Y)| product(X,Y,X) ) ))),
% 0.07/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f18,axiom,(
% 0.07/10.39 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.07/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f19,negated_conjecture,(
% 0.07/10.39 codomain(codomain(a)) != codomain(a) ),
% 0.07/10.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f38,plain,(
% 0.07/10.39 ![X0]: (identity_map(codomain(X0)))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.07/10.39 fof(f40,plain,(
% 0.07/10.39 ![X0]: (defined(codomain(X0),X0))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.07/10.39 fof(f42,plain,(
% 0.07/10.39 ![X0]: (product(codomain(X0),X0,X0))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.07/10.39 fof(f44,plain,(
% 0.07/10.39 ![X0,X1]: (~defined(X0,X1)|~identity_map(X1)|product(X0,X1,X0))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.07/10.39 fof(f45,plain,(
% 0.07/10.39 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.07/10.39 inference(miniscoping,[status(thm)],[f18])).
% 0.07/10.39 fof(f46,plain,(
% 0.07/10.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f45])).
% 0.07/10.39 fof(f47,plain,(
% 0.07/10.39 ~codomain(codomain(a))=codomain(a)),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/10.39 fof(f54,plain,(
% 0.07/10.39 ![X0,X1]: (~product(codomain(X0),X0,X1)|X1=X0)),
% 0.07/10.39 inference(resolution,[status(thm)],[f46,f42])).
% 0.07/10.39 fof(f65,plain,(
% 0.07/10.39 ![X0]: (codomain(X0)=X0|~defined(codomain(X0),X0)|~identity_map(X0))),
% 0.07/10.39 inference(resolution,[status(thm)],[f54,f44])).
% 0.07/10.39 fof(f69,plain,(
% 0.07/10.39 ![X0]: (codomain(X0)=X0|~identity_map(X0))),
% 0.07/10.39 inference(forward_subsumption_resolution,[status(thm)],[f65,f40])).
% 0.07/10.39 fof(f71,plain,(
% 0.07/10.39 ![X0]: (codomain(codomain(X0))=codomain(X0))),
% 0.07/10.39 inference(resolution,[status(thm)],[f69,f38])).
% 0.07/10.39 fof(f73,plain,(
% 0.07/10.39 ~codomain(a)=codomain(a)),
% 0.07/10.39 inference(backward_demodulation,[status(thm)],[f71,f47])).
% 0.07/10.39 fof(f80,plain,(
% 0.07/10.39 $false),
% 0.07/10.39 inference(trivial_equality_resolution,[status(thm)],[f73])).
% 0.07/10.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.41 % Elapsed time: 0.039496 seconds
% 0.13/10.41 % CPU time: 0.117252 seconds
% 0.13/10.41 % Total memory used: 30.611 MB
% 0.13/10.41 % Net memory used: 30.378 MB
%------------------------------------------------------------------------------