%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP017-1 : 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 : n008.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 12:35:26 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n008.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Sun Sep 20 19:54:40 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.56 % Refutation found
% 0.09/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.56 fof(f1,axiom,(
% 0.09/0.56 (![X]: (product(identity,X,X) ))),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f2,axiom,(
% 0.09/0.56 (![X]: (product(X,identity,X) ))),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f6,axiom,(
% 0.09/0.56 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f7,axiom,(
% 0.09/0.56 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f9,hypothesis,(
% 0.09/0.56 product(a,b,identity) ),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f12,hypothesis,(
% 0.09/0.56 product(c,a,identity) ),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f13,negated_conjecture,(
% 0.09/0.56 b != c ),
% 0.09/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.56 fof(f14,plain,(
% 0.09/0.56 ![X0]: (product(identity,X0,X0))),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.56 fof(f15,plain,(
% 0.09/0.56 ![X0]: (product(X0,identity,X0))),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.56 fof(f19,plain,(
% 0.09/0.56 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.09/0.56 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.56 fof(f20,plain,(
% 0.09/0.56 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.56 fof(f21,plain,(
% 0.09/0.56 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.09/0.56 inference(miniscoping,[status(thm)],[f7])).
% 0.09/0.56 fof(f22,plain,(
% 0.09/0.56 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.56 fof(f25,plain,(
% 0.09/0.56 product(a,b,identity)),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.56 fof(f28,plain,(
% 0.09/0.56 product(c,a,identity)),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.56 fof(f29,plain,(
% 0.09/0.56 ~b=c),
% 0.09/0.56 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.56 fof(f37,plain,(
% 0.09/0.56 ![X0,X1]: (~product(X0,identity,X1)|X0=X1)),
% 0.09/0.56 inference(resolution,[status(thm)],[f20,f15])).
% 0.09/0.56 fof(f52,plain,(
% 0.09/0.56 ![X0,X1,X2]: (~product(a,X0,X1)|~product(identity,X0,X2)|product(c,X1,X2))),
% 0.09/0.56 inference(resolution,[status(thm)],[f22,f28])).
% 0.09/0.56 fof(f84,plain,(
% 0.09/0.56 ![X0]: (~product(identity,b,X0)|product(c,identity,X0))),
% 0.09/0.56 inference(resolution,[status(thm)],[f52,f25])).
% 0.09/0.56 fof(f143,plain,(
% 0.09/0.56 product(c,identity,b)),
% 0.09/0.56 inference(resolution,[status(thm)],[f84,f14])).
% 0.09/0.56 fof(f151,plain,(
% 0.09/0.56 c=b),
% 0.09/0.56 inference(resolution,[status(thm)],[f143,f37])).
% 0.09/0.56 fof(f158,plain,(
% 0.09/0.56 $false),
% 0.09/0.56 inference(forward_subsumption_resolution,[status(thm)],[f151,f29])).
% 0.09/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.58 % Elapsed time: 0.053860 seconds
% 0.09/0.58 % CPU time: 0.141099 seconds
% 0.09/0.58 % Total memory used: 44.804 MB
% 0.09/0.58 % Net memory used: 44.331 MB
%------------------------------------------------------------------------------