%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP008-1 : 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 : n005.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 0.14s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n005.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 19:53:23 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.41 fof(f1,axiom,(
% 0.14/5.41 (![X]: (product(identity,X,X) ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f2,axiom,(
% 0.14/5.41 (![X]: (product(X,identity,X) ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f6,axiom,(
% 0.14/5.41 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f10,axiom,(
% 0.14/5.41 (![A]: (( product(j(A),A,h(A))| product(A,j(A),h(A))| q(A) ) ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f11,axiom,(
% 0.14/5.41 (![A]: (( ~ product(j(A),A,h(A))| ~ product(A,j(A),h(A))| q(A) ) ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f12,negated_conjecture,(
% 0.14/5.41 ~ q(identity) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f13,plain,(
% 0.14/5.41 ![X0]: (product(identity,X0,X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.41 fof(f14,plain,(
% 0.14/5.41 ![X0]: (product(X0,identity,X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.41 fof(f18,plain,(
% 0.14/5.41 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.14/5.41 inference(miniscoping,[status(thm)],[f6])).
% 0.14/5.41 fof(f19,plain,(
% 0.14/5.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/5.41 fof(f25,plain,(
% 0.14/5.41 ![X0]: (product(j(X0),X0,h(X0))|product(X0,j(X0),h(X0))|q(X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/5.41 fof(f26,plain,(
% 0.14/5.41 ![X0]: (~product(j(X0),X0,h(X0))|~product(X0,j(X0),h(X0))|q(X0))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/5.41 fof(f27,plain,(
% 0.14/5.41 ~q(identity)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/5.41 fof(f30,plain,(
% 0.14/5.41 ![X0,X1]: (~product(identity,X0,X1)|X1=X0)),
% 0.14/5.41 inference(resolution,[status(thm)],[f19,f13])).
% 0.14/5.41 fof(f32,plain,(
% 0.14/5.41 ![X0,X1]: (~product(X0,identity,X1)|X1=X0)),
% 0.14/5.41 inference(resolution,[status(thm)],[f19,f14])).
% 0.14/5.41 fof(f47,plain,(
% 0.14/5.41 h(identity)=j(identity)|product(identity,j(identity),h(identity))|q(identity)),
% 0.14/5.41 inference(resolution,[status(thm)],[f32,f25])).
% 0.14/5.41 fof(f51,plain,(
% 0.14/5.41 h(identity)=j(identity)|q(identity)),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f47,f30])).
% 0.14/5.41 fof(f78,plain,(
% 0.14/5.41 h(identity)=j(identity)),
% 0.14/5.41 inference(resolution,[status(thm)],[f51,f27])).
% 0.14/5.41 fof(f83,plain,(
% 0.14/5.41 ~product(j(identity),identity,h(identity))|~product(identity,h(identity),h(identity))|q(identity)),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f78,f26])).
% 0.14/5.41 fof(f86,plain,(
% 0.14/5.41 ~product(h(identity),identity,h(identity))|~product(identity,h(identity),h(identity))|q(identity)),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f78,f83])).
% 0.14/5.41 fof(f87,plain,(
% 0.14/5.41 ~product(identity,h(identity),h(identity))|q(identity)),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f86,f14])).
% 0.14/5.41 fof(f89,plain,(
% 0.14/5.41 q(identity)),
% 0.14/5.41 inference(resolution,[status(thm)],[f87,f13])).
% 0.14/5.41 fof(f90,plain,(
% 0.14/5.41 $false),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f89,f27])).
% 0.14/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.43 % Elapsed time: 0.054842 seconds
% 0.14/5.43 % CPU time: 0.160778 seconds
% 0.14/5.43 % Total memory used: 80.208 MB
% 0.14/5.43 % Net memory used: 79.715 MB
%------------------------------------------------------------------------------