%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP028-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:35:30 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP028-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 19:55:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f4,axiom,(
% 0.15/0.41 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f5,hypothesis,(
% 0.15/0.41 (![X,Y]: (product(left_solution(X,Y),X,Y) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f6,hypothesis,(
% 0.15/0.41 (![X,Y]: (product(X,right_solution(X,Y),Y) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f7,negated_conjecture,(
% 0.15/0.41 (![X]: (~ product(not_identity(X),X,not_identity(X)) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f11,plain,(
% 0.15/0.41 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.15/0.41 fof(f12,plain,(
% 0.15/0.41 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.41 fof(f13,plain,(
% 0.15/0.41 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f4])).
% 0.15/0.41 fof(f14,plain,(
% 0.15/0.41 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.41 fof(f15,plain,(
% 0.15/0.41 ![X0,X1]: (product(left_solution(X0,X1),X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.41 fof(f16,plain,(
% 0.15/0.41 ![X0,X1]: (product(X0,right_solution(X0,X1),X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.41 fof(f17,plain,(
% 0.15/0.41 ![X0]: (~product(not_identity(X0),X0,not_identity(X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.41 fof(f28,plain,(
% 0.15/0.41 ![X0,X1,X2,X3,X4]: (~product(left_solution(X0,X1),X2,X3)|~product(X2,X4,X0)|product(X3,X4,X1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f15,f14])).
% 0.15/0.41 fof(f39,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~product(X0,X1,X1)|product(X0,X2,X2))),
% 0.15/0.41 inference(resolution,[status(thm)],[f16,f12])).
% 0.15/0.41 fof(f63,plain,(
% 0.15/0.41 ![X0,X1]: (product(left_solution(X0,X0),X1,X1))),
% 0.15/0.41 inference(resolution,[status(thm)],[f39,f15])).
% 0.15/0.41 fof(f88,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~product(X0,X1,X0)|product(X2,X1,X2))),
% 0.15/0.41 inference(resolution,[status(thm)],[f28,f15])).
% 0.15/0.41 fof(f107,plain,(
% 0.15/0.41 ![X0,X1]: (product(X0,left_solution(X1,X1),X0))),
% 0.15/0.41 inference(resolution,[status(thm)],[f88,f63])).
% 0.15/0.41 fof(f124,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(resolution,[status(thm)],[f107,f17])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.049475 seconds
% 0.15/0.43 % CPU time: 0.165155 seconds
% 0.15/0.43 % Total memory used: 43.170 MB
% 0.15/0.43 % Net memory used: 42.649 MB
%------------------------------------------------------------------------------