%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP044-2 : 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 : n001.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 12:35:33 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP044-2 : 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 : n001.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 : Sun Sep 20 20:00:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X]: (product(identity,X,X) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,axiom,(
% 0.12/0.39 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,axiom,(
% 0.12/0.39 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ product(W,Z,X)| product(W,Z,Y) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,hypothesis,(
% 0.12/0.39 equalish(a,b) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,hypothesis,(
% 0.12/0.39 product(a,c,result) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f10,negated_conjecture,(
% 0.12/0.39 ~ product(b,c,result) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,plain,(
% 0.12/0.39 ![X0]: (product(identity,X0,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f18,plain,(
% 0.12/0.40 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.12/0.40 fof(f19,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.40 fof(f20,plain,(
% 0.12/0.40 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~product(W,Z,X)))|product(W,Z,Y))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f7])).
% 0.12/0.40 fof(f21,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~product(X2,X3,X0)|product(X2,X3,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.40 fof(f22,plain,(
% 0.12/0.40 equalish(a,b)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f23,plain,(
% 0.12/0.40 product(a,c,result)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f24,plain,(
% 0.12/0.40 ~product(b,c,result)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.40 fof(f26,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~product(X0,a,X1)|~product(X0,result,X2)|product(X1,c,X2))),
% 0.12/0.40 inference(resolution,[status(thm)],[f23,f19])).
% 0.12/0.40 fof(f32,plain,(
% 0.12/0.40 ![X0]: (~product(identity,a,X0)|product(X0,c,result))),
% 0.12/0.40 inference(resolution,[status(thm)],[f11,f26])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 ![X0,X1]: (~product(X0,X1,a)|product(X0,X1,b))),
% 0.12/0.40 inference(resolution,[status(thm)],[f21,f22])).
% 0.12/0.40 fof(f109,plain,(
% 0.12/0.40 product(identity,a,b)),
% 0.12/0.40 inference(resolution,[status(thm)],[f59,f11])).
% 0.12/0.40 fof(f219,plain,(
% 0.12/0.40 product(b,c,result)),
% 0.12/0.40 inference(resolution,[status(thm)],[f32,f109])).
% 0.12/0.40 fof(f222,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f219,f24])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.050264 seconds
% 0.12/0.41 % CPU time: 0.186608 seconds
% 0.12/0.41 % Total memory used: 56.515 MB
% 0.12/0.41 % Net memory used: 55.911 MB
%------------------------------------------------------------------------------