%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP001-5 : 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 : n012.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 12:35:24 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP001-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 20 19:52:37 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.32 fof(f1,axiom,(
% 0.03/0.32 (![X]: (product(identity,X,X) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f2,axiom,(
% 0.03/0.32 (![X]: (product(X,identity,X) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f3,axiom,(
% 0.03/0.32 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f4,axiom,(
% 0.03/0.32 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f5,hypothesis,(
% 0.03/0.32 (![X]: (product(X,X,identity) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f6,hypothesis,(
% 0.03/0.32 product(a,b,c) ),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f7,negated_conjecture,(
% 0.03/0.32 ~ product(b,a,c) ),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f8,plain,(
% 0.03/0.32 ![X0]: (product(identity,X0,X0))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.32 fof(f9,plain,(
% 0.03/0.32 ![X0]: (product(X0,identity,X0))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.32 fof(f10,plain,(
% 0.03/0.32 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.03/0.32 inference(miniscoping,[status(thm)],[f3])).
% 0.03/0.32 fof(f11,plain,(
% 0.03/0.32 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f10])).
% 0.03/0.32 fof(f12,plain,(
% 0.03/0.32 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.03/0.32 inference(miniscoping,[status(thm)],[f4])).
% 0.03/0.32 fof(f13,plain,(
% 0.03/0.32 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f12])).
% 0.03/0.32 fof(f14,plain,(
% 0.03/0.32 ![X0]: (product(X0,X0,identity))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.32 fof(f15,plain,(
% 0.03/0.32 product(a,b,c)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/0.32 fof(f16,plain,(
% 0.03/0.32 ~product(b,a,c)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/0.32 fof(f17,plain,(
% 0.03/0.32 ![X0,X1,X2]: (~product(b,X0,X1)|~product(a,X1,X2)|product(c,X0,X2))),
% 0.03/0.32 inference(resolution,[status(thm)],[f15,f13])).
% 0.03/0.32 fof(f32,plain,(
% 0.03/0.32 ![X0]: (~product(a,identity,X0)|product(c,b,X0))),
% 0.03/0.32 inference(resolution,[status(thm)],[f14,f17])).
% 0.03/0.32 fof(f36,plain,(
% 0.03/0.32 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(identity,X1,X3)|product(X0,X2,X3))),
% 0.03/0.32 inference(resolution,[status(thm)],[f14,f11])).
% 0.03/0.32 fof(f51,plain,(
% 0.03/0.32 ![X0]: (~product(identity,b,X0)|product(a,c,X0))),
% 0.03/0.32 inference(resolution,[status(thm)],[f36,f15])).
% 0.03/0.32 fof(f67,plain,(
% 0.03/0.32 product(c,b,a)),
% 0.03/0.32 inference(resolution,[status(thm)],[f32,f9])).
% 0.03/0.32 fof(f69,plain,(
% 0.03/0.32 ![X0]: (~product(identity,b,X0)|product(c,a,X0))),
% 0.03/0.32 inference(resolution,[status(thm)],[f67,f36])).
% 0.03/0.32 fof(f75,plain,(
% 0.03/0.32 product(a,c,b)),
% 0.03/0.32 inference(resolution,[status(thm)],[f51,f8])).
% 0.03/0.32 fof(f81,plain,(
% 0.03/0.32 ![X0,X1,X2]: (~product(c,X0,X1)|~product(a,X1,X2)|product(b,X0,X2))),
% 0.03/0.32 inference(resolution,[status(thm)],[f75,f13])).
% 0.03/0.32 fof(f83,plain,(
% 0.03/0.32 product(c,a,b)),
% 0.03/0.32 inference(resolution,[status(thm)],[f69,f8])).
% 0.03/0.32 fof(f97,plain,(
% 0.03/0.32 ![X0]: (~product(a,b,X0)|product(b,a,X0))),
% 0.03/0.32 inference(resolution,[status(thm)],[f81,f83])).
% 0.03/0.32 fof(f101,plain,(
% 0.03/0.32 product(b,a,c)),
% 0.03/0.32 inference(resolution,[status(thm)],[f97,f15])).
% 0.03/0.32 fof(f102,plain,(
% 0.03/0.32 $false),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f101,f16])).
% 0.03/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.34 % Elapsed time: 0.040397 seconds
% 0.08/0.34 % CPU time: 0.107670 seconds
% 0.08/0.34 % Total memory used: 55.664 MB
% 0.08/0.34 % Net memory used: 55.125 MB
%------------------------------------------------------------------------------