%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT007-1 : 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 : n010.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT007-1 : 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 : n010.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 13:56:10 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X,Y,Z]: (( ~ product(X,Y,Z)| defined(X,Y) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,axiom,(
% 0.13/0.39 (![X,Y,Z]: (( ~ defined(X,Y)| ~ defined(Y,Z)| ~ identity_map(Y)| defined(X,Z) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,axiom,(
% 0.13/0.39 (![X]: (identity_map(domain(X)) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,axiom,(
% 0.13/0.39 (![X]: (defined(X,domain(X)) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,axiom,(
% 0.13/0.39 (![X]: (product(codomain(X),X,X) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,hypothesis,(
% 0.13/0.39 domain(a) = codomain(b) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ~ defined(a,b) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![X,Y]: ((![Z]: ~product(X,Y,Z))|defined(X,Y))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~product(X0,X1,X2)|defined(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X,Z]: ((![Y]: ((~defined(X,Y)|~defined(Y,Z))|~identity_map(Y)))|defined(X,Z))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~defined(X0,X1)|~defined(X1,X2)|~identity_map(X1)|defined(X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 ![X0]: (identity_map(domain(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 ![X0]: (defined(X0,domain(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ![X0]: (product(codomain(X0),X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 domain(a)=codomain(b)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ~defined(a,b)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 product(domain(a),b,b)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f48,f43])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 defined(domain(a),b)),
% 0.13/0.39 inference(resolution,[status(thm)],[f63,f23])).
% 0.13/0.39 fof(f119,plain,(
% 0.13/0.39 ![X0]: (~defined(X0,domain(a))|~identity_map(domain(a))|defined(X0,b))),
% 0.13/0.39 inference(resolution,[status(thm)],[f37,f76])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 ![X0]: (~defined(X0,domain(a))|defined(X0,b))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f119,f38])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 defined(a,b)),
% 0.13/0.39 inference(resolution,[status(thm)],[f40,f124])).
% 0.13/0.39 fof(f136,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f129,f49])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.048446 seconds
% 0.13/0.41 % CPU time: 0.167475 seconds
% 0.13/0.41 % Total memory used: 48.965 MB
% 0.13/0.41 % Net memory used: 48.671 MB
%------------------------------------------------------------------------------