%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP045-2 : 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 : n018.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 12:35:33 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP045-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 19:57:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![X]: (product(identity,X,X) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,axiom,(
% 0.13/0.42 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f6,axiom,(
% 0.13/0.42 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f7,axiom,(
% 0.13/0.42 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ product(W,Z,X)| product(W,Z,Y) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f8,hypothesis,(
% 0.13/0.42 equalish(a,b) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f9,hypothesis,(
% 0.13/0.42 product(c,a,result) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f10,negated_conjecture,(
% 0.13/0.42 ~ product(c,b,result) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f11,plain,(
% 0.13/0.42 ![X0]: (product(identity,X0,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f13,plain,(
% 0.13/0.42 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.42 fof(f16,plain,(
% 0.13/0.42 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f5])).
% 0.13/0.42 fof(f17,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.42 fof(f18,plain,(
% 0.13/0.42 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.42 fof(f19,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.42 fof(f20,plain,(
% 0.13/0.42 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~product(W,Z,X)))|product(W,Z,Y))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.42 fof(f21,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~product(X2,X3,X0)|product(X2,X3,X1))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.42 fof(f22,plain,(
% 0.13/0.42 equalish(a,b)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.42 fof(f23,plain,(
% 0.13/0.42 product(c,a,result)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.42 fof(f24,plain,(
% 0.13/0.42 ~product(c,b,result)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.42 fof(f37,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(X3,X2,X4)|product(multiply(X3,X0),X1,X4))),
% 0.13/0.42 inference(resolution,[status(thm)],[f13,f19])).
% 0.13/0.42 fof(f38,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(multiply(X3,X0),X1,X4)|product(X3,X2,X4))),
% 0.13/0.42 inference(resolution,[status(thm)],[f13,f17])).
% 0.13/0.42 fof(f43,plain,(
% 0.13/0.42 ![X0,X1]: (~product(X0,X1,a)|product(X0,X1,b))),
% 0.13/0.42 inference(resolution,[status(thm)],[f21,f22])).
% 0.13/0.42 fof(f57,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~product(X0,X1,X2)|product(multiply(X0,identity),X1,X2))),
% 0.13/0.42 inference(resolution,[status(thm)],[f37,f11])).
% 0.13/0.42 fof(f66,plain,(
% 0.13/0.42 product(identity,a,b)),
% 0.13/0.42 inference(resolution,[status(thm)],[f43,f11])).
% 0.13/0.42 fof(f70,plain,(
% 0.13/0.42 ![X0,X1]: (~product(multiply(X0,identity),a,X1)|product(X0,b,X1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f66,f38])).
% 0.13/0.42 fof(f152,plain,(
% 0.13/0.42 product(multiply(c,identity),a,result)),
% 0.13/0.42 inference(resolution,[status(thm)],[f57,f23])).
% 0.13/0.42 fof(f985,plain,(
% 0.13/0.42 product(c,b,result)),
% 0.13/0.42 inference(resolution,[status(thm)],[f152,f70])).
% 0.13/0.42 fof(f1002,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f985,f24])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.072107 seconds
% 0.13/0.44 % CPU time: 0.332930 seconds
% 0.13/0.44 % Total memory used: 58.545 MB
% 0.13/0.44 % Net memory used: 57.669 MB
%------------------------------------------------------------------------------