%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP010-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.15s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n020.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 20 19:54:23 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.15/5.42 % Refutation found
% 0.15/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.42 fof(f1,axiom,(
% 0.15/5.42 (![X]: (product(identity,X,X) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f2,axiom,(
% 0.15/5.42 (![X]: (product(X,identity,X) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f4,axiom,(
% 0.15/5.42 (![X]: (product(X,inverse(X),identity) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f6,axiom,(
% 0.15/5.42 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f7,axiom,(
% 0.15/5.42 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f9,hypothesis,(
% 0.15/5.42 product(a,b,identity) ),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f10,negated_conjecture,(
% 0.15/5.42 ~ product(b,a,identity) ),
% 0.15/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.42 fof(f11,plain,(
% 0.15/5.42 ![X0]: (product(identity,X0,X0))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/5.42 fof(f12,plain,(
% 0.15/5.42 ![X0]: (product(X0,identity,X0))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.42 fof(f14,plain,(
% 0.15/5.42 ![X0]: (product(X0,inverse(X0),identity))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/5.42 fof(f16,plain,(
% 0.15/5.42 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.15/5.42 inference(miniscoping,[status(thm)],[f6])).
% 0.15/5.42 fof(f17,plain,(
% 0.15/5.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/5.42 fof(f18,plain,(
% 0.15/5.42 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.15/5.42 inference(miniscoping,[status(thm)],[f7])).
% 0.15/5.42 fof(f19,plain,(
% 0.15/5.42 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/5.42 fof(f22,plain,(
% 0.15/5.42 product(a,b,identity)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/5.42 fof(f23,plain,(
% 0.15/5.42 ~product(b,a,identity)),
% 0.15/5.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/5.42 fof(f26,plain,(
% 0.15/5.42 ![X0,X1]: (~product(X0,identity,X1)|X0=X1)),
% 0.15/5.42 inference(resolution,[status(thm)],[f17,f12])).
% 0.15/5.42 fof(f31,plain,(
% 0.15/5.42 ![X0,X1,X2]: (~product(b,X0,X1)|~product(identity,X0,X2)|product(a,X1,X2))),
% 0.15/5.42 inference(resolution,[status(thm)],[f19,f22])).
% 0.15/5.42 fof(f58,plain,(
% 0.15/5.42 ![X0]: (~product(identity,inverse(b),X0)|product(a,identity,X0))),
% 0.15/5.42 inference(resolution,[status(thm)],[f31,f14])).
% 0.15/5.42 fof(f204,plain,(
% 0.15/5.42 product(a,identity,inverse(b))),
% 0.15/5.42 inference(resolution,[status(thm)],[f58,f11])).
% 0.15/5.42 fof(f208,plain,(
% 0.15/5.42 a=inverse(b)),
% 0.15/5.42 inference(resolution,[status(thm)],[f204,f26])).
% 0.15/5.42 fof(f233,plain,(
% 0.15/5.42 product(b,a,identity)),
% 0.15/5.42 inference(paramodulation,[status(thm)],[f208,f14])).
% 0.15/5.42 fof(f235,plain,(
% 0.15/5.42 $false),
% 0.15/5.42 inference(forward_subsumption_resolution,[status(thm)],[f233,f23])).
% 0.15/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.45 % Elapsed time: 0.051943 seconds
% 0.15/5.45 % CPU time: 0.175947 seconds
% 0.15/5.45 % Total memory used: 44.957 MB
% 0.15/5.45 % Net memory used: 44.344 MB
%------------------------------------------------------------------------------