%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT005-1 : 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 : 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 12:07:41 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.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 13:55:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % 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(f3,axiom,(
% 0.12/0.38 (![X,Y,Xy,Z]: (( ~ product(X,Y,Xy)| ~ defined(Xy,Z)| defined(Y,Z) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 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(f14,axiom,(
% 0.12/0.38 (![X]: (product(X,domain(X),X) ))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f16,axiom,(
% 0.12/0.38 (![X,Y]: (( ~ defined(X,Y)| ~ identity_map(X)| product(X,Y,Y) ) ))),
% 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,hypothesis,(
% 0.12/0.38 defined(a,d) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f20,hypothesis,(
% 0.12/0.38 identity_map(d) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f21,negated_conjecture,(
% 0.12/0.38 domain(a) != d ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f25,plain,(
% 0.12/0.38 ![Y,Z]: ((![Xy]: ((![X]: ~product(X,Y,Xy))|~defined(Xy,Z)))|defined(Y,Z))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.38 fof(f26,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~defined(X2,X3)|defined(X1,X3))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.38 fof(f39,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(f43,plain,(
% 0.12/0.38 ![X0]: (product(X0,domain(X0),X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.38 fof(f45,plain,(
% 0.12/0.38 ![X0,X1]: (~defined(X0,X1)|~identity_map(X0)|product(X0,X1,X1))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.38 fof(f46,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(f47,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(f48,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)],[f47])).
% 0.12/0.38 fof(f49,plain,(
% 0.12/0.38 defined(a,d)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 identity_map(d)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.38 fof(f51,plain,(
% 0.12/0.38 ~domain(a)=d),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.38 fof(f60,plain,(
% 0.12/0.38 ![X0,X1]: (~defined(domain(X0),X1)|product(domain(X0),X1,X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f45,f39])).
% 0.12/0.38 fof(f68,plain,(
% 0.12/0.38 ![X0]: (~defined(X0,d)|product(X0,d,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f46,f50])).
% 0.12/0.38 fof(f151,plain,(
% 0.12/0.38 ![X0,X1]: (~product(X0,X1,a)|defined(X1,d))),
% 0.12/0.38 inference(resolution,[status(thm)],[f26,f49])).
% 0.12/0.38 fof(f225,plain,(
% 0.12/0.38 defined(domain(a),d)),
% 0.12/0.38 inference(resolution,[status(thm)],[f151,f43])).
% 0.12/0.38 fof(f227,plain,(
% 0.12/0.38 product(domain(a),d,d)),
% 0.12/0.38 inference(resolution,[status(thm)],[f225,f60])).
% 0.12/0.38 fof(f228,plain,(
% 0.12/0.38 product(domain(a),d,domain(a))),
% 0.12/0.38 inference(resolution,[status(thm)],[f225,f68])).
% 0.12/0.38 fof(f236,plain,(
% 0.12/0.38 ![X0]: (~product(domain(a),d,X0)|X0=d)),
% 0.12/0.38 inference(resolution,[status(thm)],[f227,f48])).
% 0.12/0.38 fof(f367,plain,(
% 0.12/0.38 domain(a)=d),
% 0.12/0.38 inference(resolution,[status(thm)],[f236,f228])).
% 0.12/0.38 fof(f370,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f367,f51])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.039880 seconds
% 0.12/0.40 % CPU time: 0.133235 seconds
% 0.12/0.40 % Total memory used: 28.560 MB
% 0.12/0.40 % Net memory used: 28.289 MB
%------------------------------------------------------------------------------