%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP003-2 : 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 : 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 12:35:25 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 19:54:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.52 fof(f1,axiom,(
% 0.14/0.52 (![X]: (product(identity,X,X) ))),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f2,axiom,(
% 0.14/0.52 (![X]: (product(inverse(X),X,identity) ))),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f3,axiom,(
% 0.14/0.52 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f5,axiom,(
% 0.14/0.52 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f6,axiom,(
% 0.14/0.52 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f8,negated_conjecture,(
% 0.14/0.52 ~ product(a,identity,a) ),
% 0.14/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.52 fof(f9,plain,(
% 0.14/0.52 ![X0]: (product(identity,X0,X0))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.52 fof(f10,plain,(
% 0.14/0.52 ![X0]: (product(inverse(X0),X0,identity))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.52 fof(f11,plain,(
% 0.14/0.52 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.52 fof(f14,plain,(
% 0.14/0.52 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f5])).
% 0.14/0.52 fof(f15,plain,(
% 0.14/0.52 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.52 fof(f16,plain,(
% 0.14/0.52 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.14/0.52 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.52 fof(f17,plain,(
% 0.14/0.52 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.52 fof(f20,plain,(
% 0.14/0.52 ~product(a,identity,a)),
% 0.14/0.52 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.52 fof(f23,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(identity,X2,X3)|product(X0,X1,X3))),
% 0.14/0.52 inference(resolution,[status(thm)],[f17,f9])).
% 0.14/0.52 fof(f26,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(inverse(X0),X2,X3)|product(identity,X1,X3))),
% 0.14/0.52 inference(resolution,[status(thm)],[f10,f17])).
% 0.14/0.52 fof(f28,plain,(
% 0.14/0.52 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(identity,X1,X3)|product(inverse(X0),X2,X3))),
% 0.14/0.52 inference(resolution,[status(thm)],[f10,f15])).
% 0.14/0.52 fof(f31,plain,(
% 0.14/0.52 ![X0,X1]: (~product(identity,X0,X1)|product(inverse(inverse(X0)),identity,X1))),
% 0.14/0.52 inference(resolution,[status(thm)],[f28,f10])).
% 0.14/0.52 fof(f33,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~product(identity,X0,X1)|product(inverse(X2),multiply(X2,X0),X1))),
% 0.14/0.52 inference(resolution,[status(thm)],[f11,f28])).
% 0.14/0.52 fof(f35,plain,(
% 0.14/0.52 ![X0,X1,X2]: (~product(identity,multiply(X0,X1),X2)|product(X0,X1,X2))),
% 0.14/0.52 inference(resolution,[status(thm)],[f11,f23])).
% 0.14/0.52 fof(f65,plain,(
% 0.14/0.52 ![X0]: (product(inverse(inverse(X0)),identity,X0))),
% 0.14/0.52 inference(resolution,[status(thm)],[f31,f9])).
% 0.14/0.53 fof(f69,plain,(
% 0.14/0.53 ![X0,X1]: (product(inverse(X0),multiply(X0,X1),X1))),
% 0.14/0.53 inference(resolution,[status(thm)],[f33,f9])).
% 0.14/0.53 fof(f131,plain,(
% 0.14/0.53 ![X0,X1,X2]: (~product(inverse(inverse(X0)),X1,X2)|product(identity,multiply(X0,X1),X2))),
% 0.14/0.53 inference(resolution,[status(thm)],[f69,f26])).
% 0.14/0.53 fof(f1276,plain,(
% 0.14/0.53 ![X0]: (product(identity,multiply(X0,identity),X0))),
% 0.14/0.53 inference(resolution,[status(thm)],[f131,f65])).
% 0.14/0.53 fof(f1308,plain,(
% 0.14/0.53 ![X0]: (product(X0,identity,X0))),
% 0.14/0.53 inference(resolution,[status(thm)],[f1276,f35])).
% 0.14/0.53 fof(f1339,plain,(
% 0.14/0.53 $false),
% 0.14/0.53 inference(backward_subsumption_resolution,[status(thm)],[f20,f1308])).
% 0.14/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.93/0.54 % Elapsed time: 0.155687 seconds
% 0.93/0.54 % CPU time: 0.932376 seconds
% 0.93/0.54 % Total memory used: 61.443 MB
% 0.93/0.54 % Net memory used: 60.284 MB
%------------------------------------------------------------------------------