%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP029-1 : 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 : n012.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 0.03s 5.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/5.31 % Computer : n012.cluster.edu
% 0.03/5.31 % Model : x86_64 x86_64
% 0.03/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.31 % Memory : 8046.5625MB
% 0.03/5.31 % OS : Linux 6.8.0-71-generic
% 0.03/5.31 % CPULimit : 300
% 0.03/5.31 % WCLimit : 300
% 0.03/5.31 % DateTime : Sun Sep 20 19:54:43 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.32 % Drodi V4.1.1
% 0.03/5.34 % Refutation found
% 0.03/5.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/5.34 % SZS output start CNFRefutation for theBenchmark
% 0.03/5.34 fof(f1,axiom,(
% 0.03/5.34 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f2,axiom,(
% 0.03/5.34 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f3,axiom,(
% 0.03/5.34 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f4,axiom,(
% 0.03/5.34 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f5,axiom,(
% 0.03/5.34 (![A]: (product(identity,A,A) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f6,axiom,(
% 0.03/5.34 (![A]: (product(inverse(A),A,identity) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f7,negated_conjecture,(
% 0.03/5.34 (![A]: (~ product(not_right_identity(A),A,not_right_identity(A)) ))),
% 0.03/5.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/5.34 fof(f8,plain,(
% 0.03/5.34 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/5.34 fof(f9,plain,(
% 0.03/5.34 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.03/5.34 inference(miniscoping,[status(thm)],[f2])).
% 0.03/5.34 fof(f10,plain,(
% 0.03/5.34 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f9])).
% 0.03/5.34 fof(f11,plain,(
% 0.03/5.34 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.03/5.34 inference(miniscoping,[status(thm)],[f3])).
% 0.03/5.34 fof(f12,plain,(
% 0.03/5.34 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f11])).
% 0.03/5.34 fof(f13,plain,(
% 0.03/5.34 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.03/5.34 inference(miniscoping,[status(thm)],[f4])).
% 0.03/5.34 fof(f14,plain,(
% 0.03/5.34 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f13])).
% 0.03/5.34 fof(f15,plain,(
% 0.03/5.34 ![X0]: (product(identity,X0,X0))),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/5.34 fof(f16,plain,(
% 0.03/5.34 ![X0]: (product(inverse(X0),X0,identity))),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/5.34 fof(f17,plain,(
% 0.03/5.34 ![X0]: (~product(not_right_identity(X0),X0,not_right_identity(X0)))),
% 0.03/5.34 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/5.34 fof(f18,plain,(
% 0.03/5.34 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(X1,X3,X4)|product(X2,X3,multiply(X0,X4)))),
% 0.03/5.34 inference(resolution,[status(thm)],[f8,f14])).
% 0.03/5.34 fof(f24,plain,(
% 0.03/5.34 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X0,X1))),
% 0.03/5.34 inference(resolution,[status(thm)],[f8,f10])).
% 0.03/5.34 fof(f32,plain,(
% 0.03/5.34 ![X0,X1,X2,X3]: (~product(X0,X1,identity)|~product(X1,X2,X3)|product(X0,X3,X2))),
% 0.03/5.34 inference(resolution,[status(thm)],[f15,f12])).
% 0.03/5.34 fof(f35,plain,(
% 0.03/5.34 ![X0,X1]: (~product(identity,X0,X1)|X1=X0)),
% 0.03/5.34 inference(resolution,[status(thm)],[f15,f10])).
% 0.03/5.34 fof(f36,plain,(
% 0.03/5.34 ![X0,X1,X2]: (~product(X0,inverse(X1),X2)|product(X2,X1,multiply(X0,identity)))),
% 0.03/5.34 inference(resolution,[status(thm)],[f16,f18])).
% 0.03/5.34 fof(f78,plain,(
% 0.03/5.34 ![X0,X1,X2]: (~product(X0,X1,X2)|product(inverse(X0),X2,X1))),
% 0.03/5.34 inference(resolution,[status(thm)],[f32,f16])).
% 0.03/5.34 fof(f114,plain,(
% 0.03/5.34 ![X0]: (product(inverse(inverse(X0)),identity,X0))),
% 0.03/5.34 inference(resolution,[status(thm)],[f78,f16])).
% 0.03/5.34 fof(f163,plain,(
% 0.03/5.34 ![X0]: (product(inverse(inverse(inverse(X0))),X0,identity))),
% 0.03/5.34 inference(resolution,[status(thm)],[f114,f78])).
% 0.03/5.34 fof(f165,plain,(
% 0.03/5.34 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.03/5.34 inference(resolution,[status(thm)],[f114,f24])).
% 0.03/5.34 fof(f284,plain,(
% 0.03/5.34 ![X0]: (product(identity,X0,multiply(inverse(inverse(inverse(inverse(X0)))),identity)))),
% 0.03/5.34 inference(resolution,[status(thm)],[f163,f36])).
% 0.03/5.34 fof(f310,plain,(
% 0.03/5.34 ![X0]: (product(identity,X0,inverse(inverse(X0))))),
% 0.03/5.34 inference(forward_demodulation,[status(thm)],[f165,f284])).
% 0.03/5.34 fof(f348,plain,(
% 0.03/5.34 ![X0]: (inverse(inverse(X0))=X0)),
% 0.03/5.34 inference(resolution,[status(thm)],[f310,f35])).
% 0.03/5.34 fof(f400,plain,(
% 0.03/5.34 ![X0]: (product(X0,identity,X0))),
% 0.03/5.34 inference(backward_demodulation,[status(thm)],[f348,f114])).
% 0.03/5.34 fof(f451,plain,(
% 0.03/5.34 $false),
% 0.03/5.34 inference(resolution,[status(thm)],[f400,f17])).
% 0.03/5.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/5.35 % Elapsed time: 0.033245 seconds
% 0.03/5.35 % CPU time: 0.121874 seconds
% 0.03/5.35 % Total memory used: 40.833 MB
% 0.03/5.35 % Net memory used: 40.286 MB
%------------------------------------------------------------------------------