%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP004-2 : 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 : n005.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 0.73s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP004-2 : 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 : n005.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 19:53:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.73/0.51 % Refutation found
% 0.73/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.73/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.73/0.51 fof(f1,axiom,(
% 0.73/0.51 (![X]: (product(identity,X,X) ))),
% 0.73/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.73/0.51 fof(f2,axiom,(
% 0.73/0.51 (![X]: (product(inverse(X),X,identity) ))),
% 0.73/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.73/0.51 fof(f3,axiom,(
% 0.73/0.51 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.73/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.73/0.51 fof(f5,axiom,(
% 0.73/0.51 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.73/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.73/0.51 fof(f6,axiom,(
% 0.73/0.51 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.73/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.73/0.51 fof(f8,negated_conjecture,(
% 0.73/0.51 ~ product(a,inverse(a),identity) ),
% 0.73/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.73/0.51 fof(f9,plain,(
% 0.73/0.51 ![X0]: (product(identity,X0,X0))),
% 0.73/0.51 inference(cnf_transformation,[status(thm)],[f1])).
% 0.73/0.51 fof(f10,plain,(
% 0.73/0.51 ![X0]: (product(inverse(X0),X0,identity))),
% 0.73/0.51 inference(cnf_transformation,[status(thm)],[f2])).
% 0.73/0.51 fof(f11,plain,(
% 0.73/0.51 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.73/0.51 inference(cnf_transformation,[status(thm)],[f3])).
% 0.73/0.51 fof(f14,plain,(
% 0.73/0.51 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.73/0.51 inference(miniscoping,[status(thm)],[f5])).
% 0.73/0.51 fof(f15,plain,(
% 0.73/0.51 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.73/0.51 inference(cnf_transformation,[status(thm)],[f14])).
% 0.73/0.51 fof(f16,plain,(
% 0.73/0.51 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.73/0.51 inference(miniscoping,[status(thm)],[f6])).
% 0.73/0.51 fof(f17,plain,(
% 0.73/0.51 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.73/0.51 inference(cnf_transformation,[status(thm)],[f16])).
% 0.73/0.51 fof(f20,plain,(
% 0.73/0.51 ~product(a,inverse(a),identity)),
% 0.73/0.51 inference(cnf_transformation,[status(thm)],[f8])).
% 0.73/0.51 fof(f23,plain,(
% 0.73/0.51 ![X0,X1,X2]: (~product(X0,X1,a)|~product(X1,inverse(a),X2)|~product(X0,X2,identity))),
% 0.73/0.51 inference(resolution,[status(thm)],[f17,f20])).
% 0.73/0.51 fof(f32,plain,(
% 0.73/0.51 ![X0]: (~product(a,inverse(a),X0)|~product(identity,X0,identity))),
% 0.73/0.51 inference(resolution,[status(thm)],[f23,f9])).
% 0.73/0.51 fof(f36,plain,(
% 0.73/0.51 ~product(identity,multiply(a,inverse(a)),identity)),
% 0.73/0.51 inference(resolution,[status(thm)],[f32,f11])).
% 0.73/0.51 fof(f45,plain,(
% 0.73/0.51 ![X0,X1,X2]: (~product(X0,X1,identity)|~product(X1,multiply(a,inverse(a)),X2)|~product(X0,X2,identity))),
% 0.73/0.51 inference(resolution,[status(thm)],[f36,f17])).
% 0.73/0.51 fof(f65,plain,(
% 0.73/0.51 ![X0,X1]: (~product(inverse(X0),X1,identity)|~product(X1,multiply(a,inverse(a)),X0))),
% 0.73/0.51 inference(resolution,[status(thm)],[f45,f10])).
% 0.73/0.51 fof(f74,plain,(
% 0.73/0.51 ![X0]: (~product(X0,multiply(a,inverse(a)),X0))),
% 0.73/0.51 inference(resolution,[status(thm)],[f65,f10])).
% 0.73/0.51 fof(f80,plain,(
% 0.73/0.51 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X3,multiply(a,inverse(a)))|~product(X2,X3,X0))),
% 0.73/0.51 inference(resolution,[status(thm)],[f74,f15])).
% 0.73/0.51 fof(f170,plain,(
% 0.73/0.51 ![X0,X1]: (~product(X0,a,X1)|~product(X1,inverse(a),X0))),
% 0.73/0.51 inference(resolution,[status(thm)],[f80,f11])).
% 0.73/0.51 fof(f174,plain,(
% 0.73/0.51 ~product(identity,inverse(a),inverse(a))),
% 0.73/0.51 inference(resolution,[status(thm)],[f170,f10])).
% 0.73/0.51 fof(f180,plain,(
% 0.73/0.51 $false),
% 0.73/0.51 inference(forward_subsumption_resolution,[status(thm)],[f174,f9])).
% 0.73/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.73/0.52 % Elapsed time: 0.160268 seconds
% 0.73/0.52 % CPU time: 0.885283 seconds
% 0.73/0.52 % Total memory used: 61.145 MB
% 0.73/0.52 % Net memory used: 59.765 MB
%------------------------------------------------------------------------------