%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP001-1 : 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 : n007.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 12:35:23 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.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 19:50:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f1,axiom,(
% 0.08/0.40 (![X]: (product(identity,X,X) ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f2,axiom,(
% 0.08/0.40 (![X]: (product(X,identity,X) ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f7,axiom,(
% 0.08/0.40 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f8,axiom,(
% 0.08/0.40 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f9,hypothesis,(
% 0.08/0.40 (![X]: (product(X,X,identity) ))),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f10,negated_conjecture,(
% 0.08/0.40 product(a,b,c) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f11,negated_conjecture,(
% 0.08/0.40 ~ product(b,a,c) ),
% 0.08/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f12,plain,(
% 0.08/0.40 ![X0]: (product(identity,X0,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.40 fof(f13,plain,(
% 0.08/0.40 ![X0]: (product(X0,identity,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.40 fof(f19,plain,(
% 0.08/0.40 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f7])).
% 0.08/0.40 fof(f20,plain,(
% 0.08/0.40 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/0.40 fof(f21,plain,(
% 0.08/0.40 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.08/0.40 fof(f22,plain,(
% 0.08/0.40 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.40 fof(f23,plain,(
% 0.08/0.40 ![X0]: (product(X0,X0,identity))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.40 fof(f24,plain,(
% 0.08/0.40 product(a,b,c)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.40 fof(f25,plain,(
% 0.08/0.40 ~product(b,a,c)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.40 fof(f38,plain,(
% 0.08/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,identity)|~product(X1,X2,X3)|product(X0,X3,X2))),
% 0.08/0.40 inference(resolution,[status(thm)],[f12,f20])).
% 0.08/0.40 fof(f43,plain,(
% 0.08/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X3,identity)|product(X2,X3,X0))),
% 0.08/0.40 inference(resolution,[status(thm)],[f13,f22])).
% 0.08/0.40 fof(f165,plain,(
% 0.08/0.40 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X0,X2,X1))),
% 0.08/0.40 inference(resolution,[status(thm)],[f38,f23])).
% 0.08/0.40 fof(f198,plain,(
% 0.08/0.40 product(a,c,b)),
% 0.08/0.40 inference(resolution,[status(thm)],[f165,f24])).
% 0.08/0.40 fof(f235,plain,(
% 0.08/0.40 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X2,X1,X0))),
% 0.08/0.40 inference(resolution,[status(thm)],[f43,f23])).
% 0.08/0.40 fof(f328,plain,(
% 0.08/0.40 product(b,c,a)),
% 0.08/0.40 inference(resolution,[status(thm)],[f235,f198])).
% 0.08/0.40 fof(f338,plain,(
% 0.08/0.40 product(b,a,c)),
% 0.08/0.40 inference(resolution,[status(thm)],[f328,f165])).
% 0.08/0.40 fof(f347,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f338,f25])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.44 % Elapsed time: 0.061181 seconds
% 0.08/0.44 % CPU time: 0.225118 seconds
% 0.08/0.44 % Total memory used: 45.381 MB
% 0.08/0.44 % Net memory used: 44.718 MB
%------------------------------------------------------------------------------