%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP028-1 : 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 : n016.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 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP028-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.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 19:59:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,axiom,(
% 0.10/0.38 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,hypothesis,(
% 0.10/0.38 (![X,Y]: (product(left_solution(X,Y),X,Y) ))),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f3,hypothesis,(
% 0.10/0.38 (![X,Y]: (product(X,right_solution(X,Y),Y) ))),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f4,negated_conjecture,(
% 0.10/0.38 (![X]: (~ product(not_identity(X),X,not_identity(X)) ))),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f5,plain,(
% 0.10/0.38 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.38 fof(f6,plain,(
% 0.10/0.38 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f7,plain,(
% 0.10/0.38 ![X0,X1]: (product(left_solution(X0,X1),X0,X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f8,plain,(
% 0.10/0.38 ![X0,X1]: (product(X0,right_solution(X0,X1),X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.38 fof(f9,plain,(
% 0.10/0.38 ![X0]: (~product(not_identity(X0),X0,not_identity(X0)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.38 fof(f10,plain,(
% 0.10/0.38 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(left_solution(X0,X3),X2,X4)|product(X3,X1,X4))),
% 0.10/0.38 inference(resolution,[status(thm)],[f7,f6])).
% 0.10/0.38 fof(f12,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (~product(left_solution(X0,X1),X2,X3)|product(X1,right_solution(X0,X2),X3))),
% 0.10/0.38 inference(resolution,[status(thm)],[f8,f10])).
% 0.10/0.38 fof(f15,plain,(
% 0.10/0.38 ![X0,X1]: (product(X0,right_solution(X1,X1),X0))),
% 0.10/0.38 inference(resolution,[status(thm)],[f12,f7])).
% 0.10/0.38 fof(f22,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(resolution,[status(thm)],[f15,f9])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.41 % Elapsed time: 0.044722 seconds
% 0.10/0.41 % CPU time: 0.107888 seconds
% 0.10/0.41 % Total memory used: 34.564 MB
% 0.10/0.41 % Net memory used: 34.207 MB
%------------------------------------------------------------------------------