%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT008-1 : 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 : n006.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 0.07s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n006.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 13:55:42 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.07/0.38 % Refutation found
% 0.07/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.38 fof(f3,axiom,(
% 0.07/0.38 (![X,Y,Xy,Z]: (( ~ product(X,Y,Xy)| ~ defined(Xy,Z)| defined(Y,Z) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f6,axiom,(
% 0.07/0.38 (![Y,Z,Yz,X]: (( ~ product(Y,Z,Yz)| ~ defined(X,Yz)| defined(X,Y) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f10,axiom,(
% 0.07/0.38 (![X]: (identity_map(domain(X)) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f11,axiom,(
% 0.07/0.38 (![X]: (identity_map(codomain(X)) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f14,axiom,(
% 0.07/0.38 (![X]: (product(X,domain(X),X) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f15,axiom,(
% 0.07/0.38 (![X]: (product(codomain(X),X,X) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f16,axiom,(
% 0.07/0.38 (![X,Y]: (( ~ defined(X,Y)| ~ identity_map(X)| product(X,Y,Y) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f17,axiom,(
% 0.07/0.38 (![X,Y]: (( ~ defined(X,Y)| ~ identity_map(Y)| product(X,Y,X) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f18,axiom,(
% 0.07/0.38 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f19,hypothesis,(
% 0.07/0.38 defined(a,b) ),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f20,negated_conjecture,(
% 0.07/0.38 domain(a) != codomain(b) ),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f24,plain,(
% 0.07/0.38 ![Y,Z]: ((![Xy]: ((![X]: ~product(X,Y,Xy))|~defined(Xy,Z)))|defined(Y,Z))),
% 0.07/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.07/0.38 fof(f25,plain,(
% 0.07/0.38 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~defined(X2,X3)|defined(X1,X3))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.07/0.38 fof(f30,plain,(
% 0.07/0.38 ![Y,X]: ((![Yz]: ((![Z]: ~product(Y,Z,Yz))|~defined(X,Yz)))|defined(X,Y))),
% 0.07/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.07/0.38 fof(f31,plain,(
% 0.07/0.38 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~defined(X3,X2)|defined(X3,X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.07/0.38 fof(f38,plain,(
% 0.07/0.38 ![X0]: (identity_map(domain(X0)))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.07/0.38 fof(f39,plain,(
% 0.07/0.38 ![X0]: (identity_map(codomain(X0)))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.07/0.38 fof(f42,plain,(
% 0.07/0.38 ![X0]: (product(X0,domain(X0),X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.07/0.38 fof(f43,plain,(
% 0.07/0.38 ![X0]: (product(codomain(X0),X0,X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.07/0.38 fof(f44,plain,(
% 0.07/0.38 ![X0,X1]: (~defined(X0,X1)|~identity_map(X0)|product(X0,X1,X1))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.07/0.38 fof(f45,plain,(
% 0.07/0.38 ![X0,X1]: (~defined(X0,X1)|~identity_map(X1)|product(X0,X1,X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.07/0.38 fof(f46,plain,(
% 0.07/0.38 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.07/0.38 inference(miniscoping,[status(thm)],[f18])).
% 0.07/0.38 fof(f47,plain,(
% 0.07/0.38 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f46])).
% 0.07/0.38 fof(f48,plain,(
% 0.07/0.38 defined(a,b)),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/0.38 fof(f49,plain,(
% 0.07/0.38 ~domain(a)=codomain(b)),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.07/0.38 fof(f66,plain,(
% 0.07/0.38 ![X0,X1]: (~defined(X0,X1)|defined(domain(X0),X1))),
% 0.07/0.38 inference(resolution,[status(thm)],[f25,f42])).
% 0.07/0.38 fof(f72,plain,(
% 0.07/0.38 defined(domain(a),b)),
% 0.07/0.38 inference(resolution,[status(thm)],[f66,f48])).
% 0.07/0.38 fof(f146,plain,(
% 0.07/0.38 ![X0,X1]: (~defined(X0,X1)|defined(X0,codomain(X1)))),
% 0.07/0.38 inference(resolution,[status(thm)],[f31,f43])).
% 0.07/0.38 fof(f188,plain,(
% 0.07/0.38 defined(domain(a),codomain(b))),
% 0.07/0.38 inference(resolution,[status(thm)],[f146,f72])).
% 0.07/0.38 fof(f276,plain,(
% 0.07/0.38 ~identity_map(codomain(b))|product(domain(a),codomain(b),domain(a))),
% 0.07/0.38 inference(resolution,[status(thm)],[f188,f45])).
% 0.07/0.38 fof(f277,plain,(
% 0.07/0.38 ~identity_map(domain(a))|product(domain(a),codomain(b),codomain(b))),
% 0.07/0.38 inference(resolution,[status(thm)],[f188,f44])).
% 0.07/0.38 fof(f280,plain,(
% 0.07/0.38 product(domain(a),codomain(b),domain(a))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f276,f39])).
% 0.07/0.38 fof(f281,plain,(
% 0.07/0.38 product(domain(a),codomain(b),codomain(b))),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f277,f38])).
% 0.07/0.38 fof(f1868,plain,(
% 0.07/0.38 ![X0]: (~product(domain(a),codomain(b),X0)|domain(a)=X0)),
% 0.07/0.38 inference(resolution,[status(thm)],[f280,f47])).
% 0.07/0.38 fof(f2646,plain,(
% 0.07/0.38 domain(a)=codomain(b)),
% 0.07/0.38 inference(resolution,[status(thm)],[f1868,f281])).
% 0.07/0.38 fof(f2648,plain,(
% 0.07/0.38 $false),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f2646,f49])).
% 0.07/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.061530 seconds
% 0.13/0.41 % CPU time: 0.222625 seconds
% 0.13/0.41 % Total memory used: 17.993 MB
% 0.13/0.41 % Net memory used: 17.526 MB
%------------------------------------------------------------------------------