%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT012-1 : 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 : n003.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 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT012-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 13:57:31 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f10,axiom,(
% 0.12/0.38 (![X]: (identity_map(domain(X)) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f13,axiom,(
% 0.12/0.38 (![X]: (defined(codomain(X),X) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f15,axiom,(
% 0.12/0.38 (![X]: (product(codomain(X),X,X) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f17,axiom,(
% 0.12/0.38 (![X,Y]: (( ~ defined(X,Y)| ~ identity_map(Y)| product(X,Y,X) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f18,axiom,(
% 0.12/0.38 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f19,negated_conjecture,(
% 0.12/0.38 codomain(domain(a)) != domain(a) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f37,plain,(
% 0.12/0.38 ![X0]: (identity_map(domain(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.38 fof(f40,plain,(
% 0.12/0.38 ![X0]: (defined(codomain(X0),X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f42,plain,(
% 0.12/0.38 ![X0]: (product(codomain(X0),X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.38 fof(f44,plain,(
% 0.12/0.38 ![X0,X1]: (~defined(X0,X1)|~identity_map(X1)|product(X0,X1,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.38 fof(f45,plain,(
% 0.12/0.38 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f18])).
% 0.12/0.38 fof(f46,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.38 fof(f47,plain,(
% 0.12/0.38 ~codomain(domain(a))=domain(a)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f53,plain,(
% 0.12/0.38 ![X0,X1]: (~product(codomain(X0),X0,X1)|X1=X0)),
% 0.12/0.38 inference(resolution,[status(thm)],[f46,f42])).
% 0.12/0.38 fof(f63,plain,(
% 0.12/0.38 ![X0]: (codomain(X0)=X0|~defined(codomain(X0),X0)|~identity_map(X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f53,f44])).
% 0.12/0.38 fof(f66,plain,(
% 0.12/0.38 ![X0]: (codomain(X0)=X0|~identity_map(X0))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f63,f40])).
% 0.12/0.38 fof(f69,plain,(
% 0.12/0.38 ![X0]: (codomain(domain(X0))=domain(X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f66,f37])).
% 0.12/0.38 fof(f76,plain,(
% 0.12/0.38 ~domain(a)=domain(a)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f69,f47])).
% 0.12/0.38 fof(f83,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f76])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.041627 seconds
% 0.12/0.40 % CPU time: 0.116862 seconds
% 0.12/0.40 % Total memory used: 31.979 MB
% 0.12/0.40 % Net memory used: 31.732 MB
%------------------------------------------------------------------------------