%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CAT033+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 : Fri Sep 25 01:00:48 PM UTC 2026
% Result : Theorem 114.81s 20.20s
% Output : Proof 114.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 96 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 43 ~; 40 |; 11 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 37 ( 2 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> k1_yoneda_1(A) = k12_ens_1(k17_ens_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yoneda_1) ).
fof(f51_nnf,plain,
! [A] :
( k1_yoneda_1(A) = k12_ens_1(k17_ens_1(A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
! [A] :
( k1_yoneda_1(A) = k12_ens_1(k17_ens_1(A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c82,plain,
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
fof(f0,conjecture,
! [A] :
( ( l1_cat_1(A)
& v2_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(f0_neg,negated_conjecture,
~ ! [A] :
( ( l1_cat_1(A)
& v2_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(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [A] :
( ? [B] :
( ~ m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A))
& m1_subset_1(B,u1_cat_1(A)) )
& l1_cat_1(A)
& v2_cat_1(A) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
( ~ m2_cat_1(k20_ens_1(sk0,sk1),sk0,k1_yoneda_1(sk0))
& m1_subset_1(sk1,u1_cat_1(sk0))
& l1_cat_1(sk0)
& v2_cat_1(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c0,plain,
v2_cat_1(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p833,plain,
( k1_yoneda_1(sk0) = k12_ens_1(k17_ens_1(sk0))
| ~ l1_cat_1(sk0) ),
inference(resolution,[status(thm)],[c82,c0]) ).
cnf(c1,plain,
l1_cat_1(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p850,plain,
k1_yoneda_1(sk0) = k12_ens_1(k17_ens_1(sk0)),
inference(resolution,[status(thm)],[p833,c1]) ).
fof(f52,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( l1_cat_1(B)
& v2_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) ).
fof(f52_nnf,plain,
! [A] :
( ! [B] :
( ! [C] :
( m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A))
| ~ r1_tarski(k17_ens_1(B),A)
| ~ m1_subset_1(C,u1_cat_1(B)) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B) )
| v1_xboole_0(A) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [A,B,C] :
( m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A))
| ~ r1_tarski(k17_ens_1(B),A)
| ~ m1_subset_1(C,u1_cat_1(B))
| ~ l1_cat_1(B)
| ~ v2_cat_1(B)
| v1_xboole_0(A) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c83,plain,
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p852,plain,
( m2_cat_1(k20_ens_1(sk0,X1),sk0,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(sk0),X0)
| ~ m1_subset_1(X1,u1_cat_1(sk0))
| ~ l1_cat_1(sk0)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[c83,c0]) ).
cnf(p6519,plain,
( m2_cat_1(k20_ens_1(sk0,X1),sk0,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(sk0),X0)
| ~ m1_subset_1(X1,u1_cat_1(sk0))
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[p852,c1]) ).
cnf(c2,plain,
m1_subset_1(sk1,u1_cat_1(sk0)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6522,plain,
( m2_cat_1(k20_ens_1(sk0,sk1),sk0,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(sk0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[p6519,c2]) ).
fof(f30,axiom,
! [A,B] : r1_tarski(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f30_nnf,plain,
! [A,B] : r1_tarski(A,A),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [A] : r1_tarski(A,A),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c54,plain,
r1_tarski(X0,X0),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p6524,plain,
( m2_cat_1(k20_ens_1(sk0,sk1),sk0,k12_ens_1(k17_ens_1(sk0)))
| v1_xboole_0(k17_ens_1(sk0)) ),
inference(resolution,[status(thm)],[p6522,c54]) ).
cnf(p6525,plain,
( m2_cat_1(k20_ens_1(sk0,sk1),sk0,k1_yoneda_1(sk0))
| v1_xboole_0(k17_ens_1(sk0)) ),
inference(superposition,[status(thm)],[p850,p6524]) ).
cnf(c3,plain,
~ m2_cat_1(k20_ens_1(sk0,sk1),sk0,k1_yoneda_1(sk0)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6528,plain,
v1_xboole_0(k17_ens_1(sk0)),
inference(resolution,[status(thm)],[p6525,c3]) ).
fof(f44,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ~ v1_xboole_0(k17_ens_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_ens_1) ).
fof(f44_nnf,plain,
! [A] :
( ~ v1_xboole_0(k17_ens_1(A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [A] :
( ~ v1_xboole_0(k17_ens_1(A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c74,plain,
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p773,plain,
( ~ v1_xboole_0(k17_ens_1(sk0))
| ~ l1_cat_1(sk0) ),
inference(resolution,[status(thm)],[c74,c0]) ).
cnf(p798,plain,
~ v1_xboole_0(k17_ens_1(sk0)),
inference(resolution,[status(thm)],[p773,c1]) ).
cnf(p6531,plain,
$false,
inference(resolution,[status(thm)],[p6528,p798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/5.57 % Computer : n016.cluster.edu
% 0.14/5.57 % Model : x86_64 x86_64
% 0.14/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.57 % Memory : 8046.5625MB
% 0.14/5.57 % OS : Linux 6.8.0-71-generic
% 0.14/5.57 % CPULimit : 300
% 0.14/5.57 % WCLimit : 300
% 0.14/5.57 % DateTime : Fri Sep 25 07:09:49 UTC 2026
% 0.14/5.58 % CPUTime :
% 0.14/5.58 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 114.81/20.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 114.81/20.20 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------