%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : CAT033+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 10:43:58 AM UTC 2025
% Result : Theorem 17.65s 2.53s
% Output : CNFRefutation 17.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 60 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 23 ~; 18 |; 5 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t2_yoneda_1,plain,
! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_cat_1(A))
=> m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).
fof(t2_yoneda_1_negated,plain,
~ ! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_cat_1(A))
=> m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A)) ) ),
inference(negate_conjecture,[status(cth)],[t2_yoneda_1]) ).
cnf(3,plain,
~ m2_cat_1(k20_ens_1(sK1,sK2),sK1,k1_yoneda_1(sK1)),
inference(cnf,[status(esa)],[t2_yoneda_1_negated]) ).
cnf(l0,plain,
~ m2_cat_1(k20_ens_1(sK1,sK2),sK1,k1_yoneda_1(sK1)),
inference(instantiation,[status(thm)],[3]) ).
fof(t49_ens_1,plain,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( v2_cat_1(B)
& l1_cat_1(B) )
=> ! [C] :
( m1_subset_1(C,u1_cat_1(B))
=> ( r1_tarski(k17_ens_1(B),A)
=> m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_ens_1) ).
cnf(73,plain,
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ r1_tarski(k17_ens_1(X0),X2)
| m2_cat_1(k20_ens_1(X0,X1),X0,k12_ens_1(X2))
| v1_xboole_0(X2) ),
inference(cnf,[status(esa)],[t49_ens_1]) ).
cnf(l4,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m1_subset_1(sK2,u1_cat_1(sK1))
| ~ r1_tarski(k17_ens_1(sK1),k17_ens_1(sK1))
| m2_cat_1(k20_ens_1(sK1,sK2),sK1,k12_ens_1(k17_ens_1(sK1)))
| v1_xboole_0(k17_ens_1(sK1)) ),
inference(instantiation,[status(thm)],[73]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : r1_tarski(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(47,plain,
r1_tarski(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l246,plain,
r1_tarski(k17_ens_1(sK1),k17_ens_1(sK1)),
inference(instantiation,[status(thm)],[47]) ).
cnf(0,plain,
v2_cat_1(sK1),
inference(cnf,[status(esa)],[t2_yoneda_1_negated]) ).
cnf(l11,plain,
v2_cat_1(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
m1_subset_1(sK2,u1_cat_1(sK1)),
inference(cnf,[status(esa)],[t2_yoneda_1_negated]) ).
cnf(l136,plain,
m1_subset_1(sK2,u1_cat_1(sK1)),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
l1_cat_1(sK1),
inference(cnf,[status(esa)],[t2_yoneda_1_negated]) ).
cnf(l8,plain,
l1_cat_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
fof(d1_yoneda_1,plain,
! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> k1_yoneda_1(A) = k12_ens_1(k17_ens_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yoneda_1) ).
cnf(72,plain,
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
inference(cnf,[status(esa)],[d1_yoneda_1]) ).
cnf(l28,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| k1_yoneda_1(sK1) = k12_ens_1(k17_ens_1(sK1)) ),
inference(instantiation,[status(thm)],[72]) ).
cnf(l29,plain,
l1_cat_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l125,plain,
v2_cat_1(sK1),
inference(instantiation,[status(thm)],[0]) ).
fof(fc5_ens_1,plain,
! [A] :
( ( v2_cat_1(A)
& l1_cat_1(A) )
=> ~ v1_xboole_0(k17_ens_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_ens_1) ).
cnf(64,plain,
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v1_xboole_0(k17_ens_1(X0)) ),
inference(cnf,[status(esa)],[fc5_ens_1]) ).
cnf(l256,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v1_xboole_0(k17_ens_1(sK1)) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(l764,plain,
l1_cat_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l265,plain,
v2_cat_1(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l246,l11,l136,l8,l28,l29,l125,l256,l764,l265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CAT033+1 : TPTP v9.0.0. Released v3.4.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Jul 20 05:30:04 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.14/0.31 % launching worker at depth: 10
% 0.14/0.41 % launching worker at depth: 11
% 17.65/2.53 % SZS status Theorem for theBenchmark
% 17.65/2.53 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------