%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP009-1 : 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 : n019.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 12:35:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 19:53:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (![X]: (product(identity,X,X) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![X]: (product(X,identity,X) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (![X]: (product(X,inverse(X),identity) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,axiom,(
% 0.09/0.40 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,axiom,(
% 0.09/0.40 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,hypothesis,(
% 0.09/0.40 product(a,b,identity) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f10,hypothesis,(
% 0.09/0.40 product(c,b,identity) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f11,negated_conjecture,(
% 0.09/0.40 a != c ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f12,plain,(
% 0.09/0.40 ![X0]: (product(identity,X0,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 ![X0]: (product(X0,identity,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 ![X0]: (product(X0,inverse(X0),identity))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f17,plain,(
% 0.09/0.40 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.40 fof(f19,plain,(
% 0.09/0.40 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.40 fof(f20,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f23,plain,(
% 0.09/0.40 product(a,b,identity)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f24,plain,(
% 0.09/0.40 product(c,b,identity)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f25,plain,(
% 0.09/0.40 ~a=c),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 ![X0,X1]: (~product(X0,identity,X1)|X0=X1)),
% 0.09/0.40 inference(resolution,[status(thm)],[f18,f13])).
% 0.09/0.40 fof(f53,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~product(b,X0,X1)|~product(identity,X0,X2)|product(c,X1,X2))),
% 0.09/0.40 inference(resolution,[status(thm)],[f20,f24])).
% 0.09/0.40 fof(f54,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~product(b,X0,X1)|~product(identity,X0,X2)|product(a,X1,X2))),
% 0.09/0.40 inference(resolution,[status(thm)],[f20,f23])).
% 0.09/0.40 fof(f70,plain,(
% 0.09/0.40 ![X0]: (~product(identity,inverse(b),X0)|product(c,identity,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f53,f15])).
% 0.09/0.40 fof(f78,plain,(
% 0.09/0.40 product(c,identity,inverse(b))),
% 0.09/0.40 inference(resolution,[status(thm)],[f70,f12])).
% 0.09/0.40 fof(f81,plain,(
% 0.09/0.40 c=inverse(b)),
% 0.09/0.40 inference(resolution,[status(thm)],[f78,f31])).
% 0.09/0.40 fof(f85,plain,(
% 0.09/0.40 ![X0]: (~product(identity,inverse(b),X0)|product(a,identity,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f54,f15])).
% 0.09/0.40 fof(f167,plain,(
% 0.09/0.40 ![X0]: (~product(identity,c,X0)|product(a,identity,X0))),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f81,f85])).
% 0.09/0.40 fof(f168,plain,(
% 0.09/0.40 product(a,identity,c)),
% 0.09/0.40 inference(resolution,[status(thm)],[f167,f12])).
% 0.09/0.40 fof(f171,plain,(
% 0.09/0.40 a=c),
% 0.09/0.40 inference(resolution,[status(thm)],[f168,f31])).
% 0.09/0.40 fof(f178,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f171,f25])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41 % Elapsed time: 0.043964 seconds
% 0.09/0.41 % CPU time: 0.149833 seconds
% 0.09/0.41 % Total memory used: 39.250 MB
% 0.09/0.41 % Net memory used: 38.813 MB
%------------------------------------------------------------------------------