%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP029-2 : 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 : n017.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 12:35:31 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP029-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 19:50:12 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48 fof(f12,axiom,(
% 0.14/0.48 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f13,axiom,(
% 0.14/0.48 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f14,axiom,(
% 0.14/0.48 (![A]: (product(identity,A,A) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f15,axiom,(
% 0.14/0.48 (![A]: (product(inverse(A),A,identity) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f16,negated_conjecture,(
% 0.14/0.48 (![A]: (~ product(not_right_identity(A),A,not_right_identity(A)) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f35,plain,(
% 0.14/0.48 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f12])).
% 0.14/0.48 fof(f36,plain,(
% 0.14/0.48 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.48 fof(f37,plain,(
% 0.14/0.48 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f13])).
% 0.14/0.48 fof(f38,plain,(
% 0.14/0.48 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.48 fof(f39,plain,(
% 0.14/0.48 ![X0]: (product(identity,X0,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.48 fof(f40,plain,(
% 0.14/0.48 ![X0]: (product(inverse(X0),X0,identity))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.48 fof(f41,plain,(
% 0.14/0.48 ![X0]: (~product(not_right_identity(X0),X0,not_right_identity(X0)))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.48 fof(f48,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~product(X0,identity,X1)|~product(X0,X2,X3)|product(X1,X2,X3))),
% 0.14/0.48 inference(resolution,[status(thm)],[f39,f38])).
% 0.14/0.48 fof(f51,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~product(X0,X1,identity)|~product(X1,X2,X3)|product(X0,X3,X2))),
% 0.14/0.48 inference(resolution,[status(thm)],[f39,f36])).
% 0.14/0.48 fof(f70,plain,(
% 0.14/0.48 ![X0,X1,X2]: (~product(X0,X1,X2)|product(inverse(X0),X2,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f40,f51])).
% 0.14/0.48 fof(f120,plain,(
% 0.14/0.48 ![X0]: (product(inverse(inverse(X0)),identity,X0))),
% 0.14/0.48 inference(resolution,[status(thm)],[f70,f40])).
% 0.14/0.48 fof(f139,plain,(
% 0.14/0.48 ![X0,X1,X2]: (~product(inverse(inverse(X0)),X1,X2)|product(X0,X1,X2))),
% 0.14/0.48 inference(resolution,[status(thm)],[f120,f48])).
% 0.14/0.48 fof(f383,plain,(
% 0.14/0.48 ![X0]: (product(X0,identity,X0))),
% 0.14/0.48 inference(resolution,[status(thm)],[f139,f120])).
% 0.14/0.48 fof(f397,plain,(
% 0.14/0.48 $false),
% 0.14/0.48 inference(resolution,[status(thm)],[f383,f41])).
% 0.14/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.49 % Elapsed time: 0.115679 seconds
% 0.14/0.49 % CPU time: 0.689681 seconds
% 0.14/0.49 % Total memory used: 61.447 MB
% 0.14/0.49 % Net memory used: 60.175 MB
%------------------------------------------------------------------------------