%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO474+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 01:39:04 PM UTC 2025
% Result : Theorem 55.40s 7.94s
% Output : CNFRefutation 55.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aRANKu_0,plain,
! [Q133117,Q133118] : s(num,i(s(fun(cart(cart(real,Q133117),Q133118),num),rank),s(cart(cart(real,Q133117),Q133118),i(s(fun(num,cart(cart(real,Q133117),Q133118)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aRANKu_0) ).
fof(aRANKu_0_negated,plain,
~ ! [Q133117,Q133118] : s(num,i(s(fun(cart(cart(real,Q133117),Q133118),num),rank),s(cart(cart(real,Q133117),Q133118),i(s(fun(num,cart(cart(real,Q133117),Q133118)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(negate_conjecture,[status(cth)],[aRANKu_0]) ).
cnf(7589,plain,
s(num,i(s(fun(cart(cart(real,sK5034),sK5035),num),rank),s(cart(cart(real,sK5034),sK5035),i(s(fun(num,cart(cart(real,sK5034),sK5035)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(cnf,[status(esa)],[aRANKu_0_negated]) ).
cnf(l0,plain,
s(num,i(s(fun(cart(cart(real,sK5034),sK5035),num),rank),s(cart(cart(real,sK5034),sK5035),i(s(fun(num,cart(cart(real,sK5034),sK5035)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(instantiation,[status(thm)],[7589]) ).
fof(aRANKu_EQu_0,plain,
! [M,N,A5] :
( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))
<=> s(cart(cart(real,M),N),A5) = s(cart(cart(real,M),N),i(s(fun(num,cart(cart(real,M),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aRANKu_EQu_0) ).
cnf(7588,plain,
( s(cart(cart(real,X0),X1),X2) != s(cart(cart(real,X0),X1),i(s(fun(num,cart(cart(real,X0),X1)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(num,i(s(fun(cart(cart(real,X0),X1),num),rank),s(cart(cart(real,X0),X1),X2))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) ),
inference(cnf,[status(esa)],[aRANKu_EQu_0]) ).
cnf(l1,plain,
( s(cart(cart(real,sK5034),sK5035),i(s(fun(num,cart(cart(real,sK5034),sK5035)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(cart(cart(real,sK5034),sK5035),i(s(fun(num,cart(cart(real,sK5034),sK5035)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(num,i(s(fun(cart(cart(real,sK5034),sK5035),num),rank),s(cart(cart(real,sK5034),sK5035),i(s(fun(num,cart(cart(real,sK5034),sK5035)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))) ),
inference(instantiation,[status(thm)],[7588]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO474+1 : TPTP v9.0.0. Released v7.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 12:24:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.91/1.10 % launching worker at depth: 3
% 0.91/1.10 % launching worker at depth: 2
% 0.91/1.10 % launching worker at depth: 8
% 0.91/1.10 % launching worker at depth: 1
% 0.91/1.10 % launching worker at depth: 4
% 0.91/1.10 % launching worker at depth: 6
% 0.91/1.10 % launching worker at depth: 7
% 0.91/1.10 % launching worker at depth: 5
% 0.91/1.14 % launching worker at depth: 9
% 55.40/7.94 % SZS status Theorem for theBenchmark
% 55.40/7.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------