%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP007-1 : 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 : 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 12:35:25 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 19:55:00 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (![X]: (product(X,identity,X) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f6,axiom,(
% 0.08/0.38 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f9,hypothesis,(
% 0.08/0.38 (![A]: (product(c,A,A) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f11,negated_conjecture,(
% 0.08/0.38 identity != c ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f13,plain,(
% 0.08/0.38 ![X0]: (product(X0,identity,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f17,plain,(
% 0.08/0.38 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.08/0.38 fof(f18,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.38 fof(f23,plain,(
% 0.08/0.38 ![X0]: (product(c,X0,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.38 fof(f25,plain,(
% 0.08/0.38 ~identity=c),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.38 fof(f27,plain,(
% 0.08/0.38 ![X0,X1]: (~product(c,X0,X1)|X0=X1)),
% 0.08/0.38 inference(resolution,[status(thm)],[f18,f23])).
% 0.08/0.38 fof(f36,plain,(
% 0.08/0.38 identity=c),
% 0.08/0.38 inference(resolution,[status(thm)],[f27,f13])).
% 0.08/0.38 fof(f38,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f36,f25])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.41 % Elapsed time: 0.041450 seconds
% 0.08/0.41 % CPU time: 0.123730 seconds
% 0.08/0.41 % Total memory used: 37.276 MB
% 0.08/0.41 % Net memory used: 36.790 MB
%------------------------------------------------------------------------------