%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP022-1 : 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 : 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 12:35:27 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP022-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 19:49:11 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (product(identity,X,X) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (product(X,identity,X) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X]: (product(inverse(X),X,identity) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 inverse(inverse(a)) != a ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0]: (product(identity,X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0]: (product(X0,identity,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![X0]: (product(inverse(X0),X0,identity))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ~inverse(inverse(a))=a),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![X0,X1]: (~product(X0,identity,X1)|X0=X1)),
% 0.13/0.39 inference(resolution,[status(thm)],[f16,f11])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(identity,X1,X3)|product(inverse(X0),X2,X3))),
% 0.13/0.39 inference(resolution,[status(thm)],[f18,f12])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 ![X0,X1]: (~product(identity,X0,X1)|product(inverse(inverse(X0)),identity,X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f50,f12])).
% 0.13/0.39 fof(f138,plain,(
% 0.13/0.39 ![X0]: (product(inverse(inverse(X0)),identity,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f73,f10])).
% 0.13/0.39 fof(f156,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.39 inference(resolution,[status(thm)],[f138,f24])).
% 0.13/0.39 fof(f169,plain,(
% 0.13/0.39 ~a=a),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f156,f21])).
% 0.13/0.39 fof(f184,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f169])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.042596 seconds
% 0.13/0.41 % CPU time: 0.136705 seconds
% 0.13/0.41 % Total memory used: 37.633 MB
% 0.13/0.41 % Net memory used: 37.217 MB
%------------------------------------------------------------------------------