%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP031-2 : 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 12:35:31 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP031-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 20 19:54:22 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.03/0.35 % Refutation found
% 0.03/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.35 fof(f1,axiom,(
% 0.03/0.35 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f3,axiom,(
% 0.03/0.35 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f4,axiom,(
% 0.03/0.35 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f5,hypothesis,(
% 0.03/0.35 (![A]: (product(A,inverse(A),identity) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f6,hypothesis,(
% 0.03/0.35 (![A]: (product(A,identity,A) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f7,negated_conjecture,(
% 0.03/0.35 (![A]: (~ product(A,a,identity) ))),
% 0.03/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.35 fof(f8,plain,(
% 0.03/0.35 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.35 fof(f11,plain,(
% 0.03/0.35 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.03/0.35 inference(miniscoping,[status(thm)],[f3])).
% 0.03/0.35 fof(f12,plain,(
% 0.03/0.35 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f11])).
% 0.03/0.35 fof(f13,plain,(
% 0.03/0.35 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.03/0.35 inference(miniscoping,[status(thm)],[f4])).
% 0.03/0.35 fof(f14,plain,(
% 0.03/0.35 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f13])).
% 0.03/0.35 fof(f15,plain,(
% 0.03/0.35 ![X0]: (product(X0,inverse(X0),identity))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.35 fof(f16,plain,(
% 0.03/0.35 ![X0]: (product(X0,identity,X0))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/0.35 fof(f17,plain,(
% 0.03/0.35 ![X0]: (~product(X0,a,identity))),
% 0.03/0.35 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/0.35 fof(f18,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X3,a)|~product(X2,X3,identity))),
% 0.03/0.35 inference(resolution,[status(thm)],[f12,f17])).
% 0.03/0.35 fof(f19,plain,(
% 0.03/0.35 ![X0,X1]: (~product(X0,a,X1)|~product(X1,identity,identity))),
% 0.03/0.35 inference(resolution,[status(thm)],[f18,f16])).
% 0.03/0.35 fof(f22,plain,(
% 0.03/0.35 ![X0,X1,X2,X3,X4]: (~product(X0,a,X1)|~product(X1,X2,X3)|~product(X2,X4,identity)|~product(X3,X4,identity))),
% 0.03/0.35 inference(resolution,[status(thm)],[f19,f12])).
% 0.03/0.35 fof(f31,plain,(
% 0.03/0.35 ![X0,X1,X2,X3]: (~product(multiply(X0,a),X1,X2)|~product(X1,X3,identity)|~product(X2,X3,identity))),
% 0.03/0.35 inference(resolution,[status(thm)],[f22,f8])).
% 0.03/0.35 fof(f34,plain,(
% 0.03/0.35 ![X0,X1,X2]: (~product(multiply(X0,a),X1,X2)|~product(X1,inverse(X2),identity))),
% 0.03/0.35 inference(resolution,[status(thm)],[f31,f15])).
% 0.03/0.35 fof(f38,plain,(
% 0.03/0.35 ![X0,X1]: (~product(multiply(X0,a),X1,X1))),
% 0.03/0.35 inference(resolution,[status(thm)],[f34,f15])).
% 0.03/0.35 fof(f44,plain,(
% 0.03/0.35 ![X0,X1,X2,X3,X4]: (~product(X0,X1,multiply(X2,a))|~product(X1,X3,X4)|~product(X0,X4,X3))),
% 0.03/0.35 inference(resolution,[status(thm)],[f38,f14])).
% 0.03/0.35 fof(f50,plain,(
% 0.03/0.35 ![X0,X1,X2]: (~product(a,X0,X1)|~product(X2,X1,X0))),
% 0.03/0.35 inference(resolution,[status(thm)],[f44,f8])).
% 0.03/0.35 fof(f53,plain,(
% 0.03/0.35 ![X0]: (~product(X0,identity,inverse(a)))),
% 0.03/0.35 inference(resolution,[status(thm)],[f50,f15])).
% 0.03/0.35 fof(f61,plain,(
% 0.03/0.35 $false),
% 0.03/0.35 inference(resolution,[status(thm)],[f53,f16])).
% 0.03/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.35 % Elapsed time: 0.044912 seconds
% 0.03/0.35 % CPU time: 0.242960 seconds
% 0.03/0.35 % Total memory used: 48.582 MB
% 0.03/0.35 % Net memory used: 47.823 MB
%------------------------------------------------------------------------------