%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU432+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 : Tue Sep 29 12:49:00 PM UTC 2026
% Result : Theorem 71.44s 10.77s
% Output : Refutation 71.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 144 ( 35 unt; 0 def)
% Number of atoms : 437 ( 52 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 487 ( 194 ~; 201 |; 61 &)
% ( 6 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-4 aty)
% Number of variables : 318 ( 305 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4)),k8_relset_2(X0,X1,k5_subset_1(X0,X2,X3),X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4)),k8_relset_2(X0,X1,k5_subset_1(X0,X2,X3),X4)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f13,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f14,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f15,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f16,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relset_2) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relset_2) ).
fof(f28,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f29,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( v1_funct_1(k6_relset_2(X0,X1,X2))
& v1_funct_2(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_2) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f38,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f62,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
fof(f63,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f64,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
fof(f70,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t154_relat_1) ).
fof(f77,axiom,
! [X0,X1] : k3_pua2mss1(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_relset_2) ).
fof(f79,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( r1_tarski(X1,X2)
=> r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_setfam_1) ).
fof(f89,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( v1_funct_1(k6_relset_2(X0,X1,X2))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ) ),
inference(pure_predicate_removal,[],[f29]) ).
fof(f91,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ),
inference(pure_predicate_removal,[],[f89]) ).
fof(f93,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4)),k8_relset_2(X0,X1,k5_subset_1(X0,X2,X3),X4))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(X0)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f96,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f105,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ! [X3] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f25]) ).
fof(f113,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f114,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f91]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f32]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f117]) ).
fof(f121,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f62]) ).
fof(f138,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f139,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f141,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f140]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f67]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)))
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f153,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f79]) ).
fof(f154,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f153]) ).
fof(f159,plain,
( ~ r1_tarski(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k5_subset_1(sK0,sK2,sK3),sK4))
& m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(sK0))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f93]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f163]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f164]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK8(X0,X1,X2),X0)
& ~ r2_hidden(sK8(X0,X1,X2),X1) )
| ~ r2_hidden(sK8(X0,X1,X2),X2) )
& ( r2_hidden(sK8(X0,X1,X2),X0)
| r2_hidden(sK8(X0,X1,X2),X1)
| r2_hidden(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f165]) ).
fof(f167,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f168,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f167]) ).
fof(f169,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK9(X0,X1),X1)
& r2_hidden(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f168]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f171]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK10(X0,X1,X2),X0)
| ~ r2_hidden(sK10(X0,X1,X2),X1)
| ~ r2_hidden(sK10(X0,X1,X2),X2) )
& ( ( r2_hidden(sK10(X0,X1,X2),X0)
& r2_hidden(sK10(X0,X1,X2),X1) )
| r2_hidden(sK10(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f172]) ).
fof(f186,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f159]) ).
fof(f187,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f159]) ).
fof(f188,plain,
m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f159]) ).
fof(f189,plain,
~ r1_tarski(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k5_subset_1(sK0,sK2,sK3),sK4)),
inference(cnf_transformation,[],[f159]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f208,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f166]) ).
fof(f214,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f215,plain,
! [X0,X1] :
( r2_hidden(sK9(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f216,plain,
! [X0,X1] :
( ~ r2_hidden(sK9(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f217,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f173]) ).
fof(f218,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f173]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(cnf_transformation,[],[f109]) ).
fof(f229,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f230,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(cnf_transformation,[],[f115]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f118]) ).
fof(f235,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(cnf_transformation,[],[f137]) ).
fof(f267,plain,
! [X2,X0,X1] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f268,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f271,plain,
! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f145]) ).
fof(f275,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f283,plain,
! [X0,X1] : k3_pua2mss1(k3_xboole_0(X0,X1)) = k3_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(cnf_transformation,[],[f77]) ).
fof(f285,plain,
! [X2,X0,X1] :
( r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f154]) ).
fof(f300,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f208]) ).
fof(f302,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f218]) ).
fof(f303,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f217]) ).
fof(f304,plain,
! [X2,X0,X1] :
( m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_demodulation,[],[f229,f268]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k9_relat_1(X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(forward_subsumption_demodulation,[],[f226,f266]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2))) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_demodulation,[],[f223,f271]) ).
fof(f312,plain,
m1_subset_1(k8_relset_2(sK0,sK1,sK3,sK4),k1_zfmisc_1(sK1)),
inference(unit_resulting_resolution,[],[f232,f187,f188]) ).
fof(f313,plain,
m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1)),
inference(unit_resulting_resolution,[],[f232,f186,f188]) ).
fof(f314,plain,
r2_hidden(sK9(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k5_subset_1(sK0,sK2,sK3),sK4)),k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4))),
inference(unit_resulting_resolution,[],[f215,f189]) ).
fof(f326,plain,
( r2_hidden(sK9(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f314,f268]) ).
fof(f327,plain,
( ~ r1_tarski(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK0)) ),
inference(superposition,[],[f189,f268]) ).
fof(f328,plain,
( ~ r1_tarski(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f327,f186]) ).
fof(f329,plain,
( r2_hidden(sK9(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f326,f186]) ).
fof(f335,plain,
~ r1_tarski(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),
inference(forward_subsumption_resolution,[],[f328,f187]) ).
fof(f336,plain,
r2_hidden(sK9(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4))),
inference(forward_subsumption_resolution,[],[f329,f187]) ).
fof(f363,plain,
( ~ r1_tarski(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK3,sK4),k1_zfmisc_1(sK1)) ),
inference(superposition,[],[f335,f267]) ).
fof(f364,plain,
( r2_hidden(sK9(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK3,sK4),k1_zfmisc_1(sK1)) ),
inference(superposition,[],[f336,f267]) ).
fof(f373,plain,
( r2_hidden(sK9(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK3,sK4),k1_zfmisc_1(sK1)) ),
inference(forward_subsumption_resolution,[],[f364,f313]) ).
fof(f374,plain,
( ~ r1_tarski(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK3,sK4),k1_zfmisc_1(sK1)) ),
inference(forward_subsumption_resolution,[],[f363,f313]) ).
fof(f383,plain,
r2_hidden(sK9(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4))),
inference(forward_subsumption_resolution,[],[f373,f312]) ).
fof(f384,plain,
~ r1_tarski(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),
inference(forward_subsumption_resolution,[],[f374,f312]) ).
fof(f417,plain,
k8_relset_2(sK0,sK1,sK3,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK3))),
inference(unit_resulting_resolution,[],[f308,f187,f188]) ).
fof(f418,plain,
k8_relset_2(sK0,sK1,sK2,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK2))),
inference(unit_resulting_resolution,[],[f308,f186,f188]) ).
fof(f427,plain,
( k8_relset_2(sK0,sK1,sK2,sK4) = k8_setfam_1(sK1,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK2)))
| ~ m1_subset_1(k6_relset_2(sK1,sK0,sK4),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)))) ),
inference(superposition,[],[f418,f266]) ).
fof(f428,plain,
( k8_relset_2(sK0,sK1,sK3,sK4) = k8_setfam_1(sK1,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK3)))
| ~ m1_subset_1(k6_relset_2(sK1,sK0,sK4),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)))) ),
inference(superposition,[],[f417,f266]) ).
fof(f544,plain,
! [X2,X0,X1] :
( r2_hidden(sK9(k3_xboole_0(X0,X1),X2),X0)
| r1_tarski(k3_xboole_0(X0,X1),X2) ),
inference(resolution,[],[f302,f215]) ).
fof(f552,plain,
! [X2,X0,X1] :
( r2_hidden(sK9(k3_xboole_0(X0,X1),X2),X1)
| r1_tarski(k3_xboole_0(X0,X1),X2) ),
inference(resolution,[],[f303,f215]) ).
fof(f560,plain,
! [X2,X0,X1] :
( ~ r2_hidden(sK9(X0,X1),X2)
| ~ r1_tarski(X2,X1)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f214,f216]) ).
fof(f571,plain,
m2_relset_1(k6_relset_2(sK1,sK0,sK4),k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)),
inference(unit_resulting_resolution,[],[f230,f188]) ).
fof(f574,plain,
m1_subset_1(k6_relset_2(sK1,sK0,sK4),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)))),
inference(unit_resulting_resolution,[],[f235,f571]) ).
fof(f575,plain,
k8_relset_2(sK0,sK1,sK2,sK4) = k8_setfam_1(sK1,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK2))),
inference(backward_subsumption_resolution,[],[f427,f574]) ).
fof(f576,plain,
k8_relset_2(sK0,sK1,sK3,sK4) = k8_setfam_1(sK1,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK3))),
inference(backward_subsumption_resolution,[],[f428,f574]) ).
fof(f578,plain,
! [X0] :
( r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_setfam_1(sK1,X0))
| ~ r1_tarski(X0,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK2)))
| ~ m1_subset_1(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK2)),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(superposition,[],[f285,f575]) ).
fof(f580,plain,
! [X0] :
( r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_setfam_1(sK1,X0))
| ~ r1_tarski(X0,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK3)))
| ~ m1_subset_1(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK3)),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(superposition,[],[f285,f576]) ).
fof(f581,plain,
! [X0] : k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK4),X0) = k9_relat_1(k6_relset_2(sK1,sK0,sK4),X0),
inference(unit_resulting_resolution,[],[f266,f574]) ).
fof(f582,plain,
! [X0] : m1_subset_1(k9_relat_1(k6_relset_2(sK1,sK0,sK4),X0),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(unit_resulting_resolution,[],[f306,f574]) ).
fof(f595,plain,
v1_relat_1(k6_relset_2(sK1,sK0,sK4)),
inference(resolution,[],[f574,f192]) ).
fof(f598,plain,
! [X0] :
( r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_setfam_1(sK1,X0))
| ~ r1_tarski(X0,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(backward_subsumption_resolution,[],[f578,f582]) ).
fof(f600,plain,
! [X0] :
( r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_setfam_1(sK1,X0))
| ~ r1_tarski(X0,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(backward_subsumption_resolution,[],[f580,f582]) ).
fof(f645,plain,
! [X0,X1] : r1_tarski(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(k6_relset_2(sK1,sK0,sK4),X0),k9_relat_1(k6_relset_2(sK1,sK0,sK4),X1))),
inference(unit_resulting_resolution,[],[f275,f595]) ).
fof(f657,plain,
m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(sK0)),
inference(unit_resulting_resolution,[],[f304,f187,f186]) ).
fof(f681,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK9(X2,X1),X3)
| r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X3,X0) ),
inference(resolution,[],[f560,f214]) ).
fof(f708,plain,
k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(k3_xboole_0(sK2,sK3)))),
inference(unit_resulting_resolution,[],[f308,f188,f657]) ).
fof(f734,plain,
k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4) = k8_setfam_1(sK1,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(k3_xboole_0(sK2,sK3)))),
inference(forward_demodulation,[],[f708,f581]) ).
fof(f743,plain,
k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4) = k8_setfam_1(sK1,k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(k3_pua2mss1(sK2),k3_pua2mss1(sK3)))),
inference(forward_demodulation,[],[f734,f283]) ).
fof(f747,plain,
( r2_hidden(sK9(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k8_relset_2(sK0,sK1,sK3,sK4))
| r2_hidden(sK9(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k8_relset_2(sK0,sK1,sK2,sK4)) ),
inference(resolution,[],[f300,f383]) ).
fof(f753,plain,
( r2_hidden(sK9(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| r1_tarski(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)) ),
inference(resolution,[],[f747,f560]) ).
fof(f754,plain,
( r2_hidden(sK9(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)) ),
inference(forward_subsumption_resolution,[],[f753,f384]) ).
fof(f1115,plain,
! [X0,X1] :
( r1_tarski(k3_xboole_0(X0,X1),X0)
| r1_tarski(k3_xboole_0(X0,X1),X0) ),
inference(resolution,[],[f544,f216]) ).
fof(f1127,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(duplicate_literal_removal,[],[f1115]) ).
fof(f1128,plain,
! [X0,X1] :
( r1_tarski(k3_xboole_0(X0,X1),X1)
| r1_tarski(k3_xboole_0(X0,X1),X1) ),
inference(resolution,[],[f552,f216]) ).
fof(f1140,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(duplicate_literal_removal,[],[f1128]) ).
fof(f1240,plain,
( r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| ~ r1_tarski(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(k3_pua2mss1(sK2),k3_pua2mss1(sK3))),k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK3)))
| ~ m1_subset_1(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(k3_pua2mss1(sK2),k3_pua2mss1(sK3))),k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(superposition,[],[f600,f743]) ).
fof(f1241,plain,
( r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| ~ r1_tarski(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(k3_pua2mss1(sK2),k3_pua2mss1(sK3))),k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK2)))
| ~ m1_subset_1(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(k3_pua2mss1(sK2),k3_pua2mss1(sK3))),k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(superposition,[],[f598,f743]) ).
fof(f1249,plain,
( ~ r1_tarski(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(k3_pua2mss1(sK2),k3_pua2mss1(sK3))),k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK2)))
| r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)) ),
inference(forward_subsumption_resolution,[],[f1241,f582]) ).
fof(f1250,plain,
( ~ r1_tarski(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(k3_pua2mss1(sK2),k3_pua2mss1(sK3))),k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(sK3)))
| r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)) ),
inference(forward_subsumption_resolution,[],[f1240,f582]) ).
fof(f1339,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| r1_tarski(k2_xboole_0(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)) ),
inference(resolution,[],[f754,f560]) ).
fof(f1341,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)) ),
inference(forward_subsumption_resolution,[],[f1339,f384]) ).
fof(f2372,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X2)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f681,f215]) ).
fof(f2387,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X2) ),
inference(duplicate_literal_removal,[],[f2372]) ).
fof(f5652,plain,
! [X0,X1] : r1_tarski(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(X0,X1)),k9_relat_1(k6_relset_2(sK1,sK0,sK4),X0)),
inference(unit_resulting_resolution,[],[f2387,f1127,f645]) ).
fof(f5653,plain,
! [X0,X1] : r1_tarski(k9_relat_1(k6_relset_2(sK1,sK0,sK4),k3_xboole_0(X0,X1)),k9_relat_1(k6_relset_2(sK1,sK0,sK4),X1)),
inference(unit_resulting_resolution,[],[f2387,f1140,f645]) ).
fof(f5685,plain,
r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),
inference(backward_subsumption_resolution,[],[f1249,f5652]) ).
fof(f5686,plain,
r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),
inference(backward_subsumption_resolution,[],[f1250,f5653]) ).
fof(f5689,plain,
~ r1_tarski(k8_relset_2(sK0,sK1,sK3,sK4),k8_relset_2(sK0,sK1,k3_xboole_0(sK2,sK3),sK4)),
inference(backward_subsumption_resolution,[],[f1341,f5685]) ).
fof(f5697,plain,
$false,
inference(forward_subsumption_resolution,[],[f5689,f5686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU432+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.34 % Computer : n012.cluster.edu
% 0.04/0.34 % Model : x86_64 x86_64
% 0.04/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.34 % Memory : 8046.5625MB
% 0.04/0.34 % OS : Linux 6.8.0-71-generic
% 0.04/0.34 % CPULimit : 300
% 0.04/0.34 % WCLimit : 300
% 0.04/0.34 % DateTime : Mon Sep 28 05:25:07 UTC 2026
% 0.04/0.35 % CPUTime :
% 0.04/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.36 Running first-order theorem proving
% 0.04/0.36 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.61/1.95 % (3049071)Detected formulas, will run a generic FOF schedule.
% 8.61/1.95 % (3049080)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2293693397:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.61/1.95 % (3049078)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2572436467:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.61/1.95 % (3049077)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1823638390:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.61/1.95 % (3049079)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3454324889:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.61/1.95 % (3049076)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4251793076:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.61/1.95 % (3049081)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3945505716:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.61/1.95 % (3049082)dis-21_1_sil=8000:lcm=predicate:random_seed=3234648922:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.61/1.95 % (3049079)Refutation not found, incomplete strategy
% 8.61/1.95 % (3049079)------------------------------
% 8.61/1.95 % (3049079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/1.95 % (3049079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.95 % (3049079)CaDiCaL version: 2.1.3
% 8.61/1.95 % (3049079)Termination reason: Refutation not found, incomplete strategy
% 8.61/1.95 % (3049079)Time elapsed: 0.002 s
% 8.61/1.95 % (3049079)Peak memory usage: 88 MB
% 8.61/1.95 % (3049079)Instructions burned: 3 (million)
% 8.61/1.95 % (3049080)Instruction limit reached!
% 8.61/1.95 % (3049080)------------------------------
% 8.61/1.95 % (3049080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/1.95 % (3049080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.95 % (3049080)CaDiCaL version: 2.1.3
% 8.61/1.95 % (3049080)Termination reason: Instruction limit
% 8.61/1.95 % (3049080)Termination phase: Saturation
% 8.61/1.95 % (3049080)Time elapsed: 0.038 s
% 8.61/1.95 % (3049080)Peak memory usage: 88 MB
% 8.61/1.95 % (3049080)Instructions burned: 119 (million)
% 8.61/1.95 % (3049082)Instruction limit reached!
% 8.61/1.95 % (3049082)------------------------------
% 8.61/1.95 % (3049082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/1.95 % (3049082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.95 % (3049082)CaDiCaL version: 2.1.3
% 8.61/1.95 % (3049082)Termination reason: Instruction limit
% 8.61/1.95 % (3049082)Termination phase: Saturation
% 8.61/1.95 % (3049082)Time elapsed: 0.044 s
% 8.61/1.95 % (3049082)Peak memory usage: 89 MB
% 8.61/1.95 % (3049082)Instructions burned: 134 (million)
% 8.61/1.95 % (3049081)Instruction limit reached!
% 8.61/1.95 % (3049081)------------------------------
% 8.61/1.95 % (3049081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/1.95 % (3049081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/1.95 % (3049081)CaDiCaL version: 2.1.3
% 8.61/1.95 % (3049081)Termination reason: Instruction limit
% 8.61/1.95 % (3049081)Termination phase: Saturation
% 8.61/1.95 % (3049081)Time elapsed: 0.049 s
% 8.61/1.95 % (3049081)Peak memory usage: 89 MB
% 8.61/1.95 % (3049081)Instructions burned: 140 (million)
% 8.61/1.95 % (3049079)------------------------------
% 8.61/1.95 % (3049079)------------------------------
% 8.61/1.95 % (3049090)lrs+10_1_sil=8000:sp=occurrence:random_seed=2476344583:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.61/1.95 % (3049091)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1969212829:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 8.61/1.95 % (3049092)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3249391300:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 8.61/1.95 % (3049091)Instruction limit reached!
% 8.61/1.95 % (3049091)------------------------------
% 8.61/1.95 % (3049091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.59 % (3049091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.59 % (3049091)CaDiCaL version: 2.1.3
% 13.32/2.59 % (3049091)Termination reason: Instruction limit
% 13.32/2.59 % (3049091)Termination phase: Saturation
% 13.32/2.59 % (3049091)Time elapsed: 0.040 s
% 13.32/2.59 % (3049091)Peak memory usage: 89 MB
% 13.32/2.59 % (3049091)Instructions burned: 158 (million)
% 13.32/2.59 % (3049090)Instruction limit reached!
% 13.32/2.59 % (3049090)------------------------------
% 13.32/2.59 % (3049090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.59 % (3049090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.59 % (3049090)CaDiCaL version: 2.1.3
% 13.32/2.59 % (3049090)Termination reason: Instruction limit
% 13.32/2.59 % (3049090)Termination phase: Saturation
% 13.32/2.59 % (3049090)Time elapsed: 0.097 s
% 13.32/2.59 % (3049090)Peak memory usage: 92 MB
% 13.32/2.59 % (3049090)Instructions burned: 288 (million)
% 13.32/2.59 % (3049092)Instruction limit reached!
% 13.32/2.59 % (3049092)------------------------------
% 13.32/2.59 % (3049092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.59 % (3049092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.59 % (3049092)CaDiCaL version: 2.1.3
% 13.32/2.59 % (3049092)Termination reason: Instruction limit
% 13.32/2.59 % (3049092)Termination phase: Saturation
% 13.32/2.59 % (3049092)Time elapsed: 0.102 s
% 13.32/2.59 % (3049092)Peak memory usage: 92 MB
% 13.32/2.59 % (3049092)Instructions burned: 325 (million)
% 13.32/2.59 % (3049093)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3116675852:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 13.32/2.59 % (3049097)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=487512501:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 13.32/2.59 % (3049093)Instruction limit reached!
% 13.32/2.59 % (3049093)------------------------------
% 13.32/2.59 % (3049093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.59 % (3049093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.59 % (3049093)CaDiCaL version: 2.1.3
% 13.32/2.59 % (3049093)Termination reason: Instruction limit
% 13.32/2.59 % (3049093)Termination phase: Saturation
% 13.32/2.59 % (3049093)Time elapsed: 0.072 s
% 13.32/2.59 % (3049093)Peak memory usage: 92 MB
% 13.32/2.59 % (3049093)Instructions burned: 249 (million)
% 13.32/2.59 % (3049098)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3939335378:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 13.32/2.59 % (3049099)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2065461677:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 13.32/2.59 % (3049097)Instruction limit reached!
% 13.32/2.59 % (3049097)------------------------------
% 13.32/2.59 % (3049097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.59 % (3049097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.59 % (3049097)CaDiCaL version: 2.1.3
% 13.32/2.59 % (3049097)Termination reason: Instruction limit
% 13.32/2.59 % (3049097)Termination phase: Saturation
% 13.32/2.59 % (3049097)Time elapsed: 0.093 s
% 13.32/2.59 % (3049097)Peak memory usage: 90 MB
% 13.32/2.59 % (3049097)Instructions burned: 296 (million)
% 13.32/2.59 % (3049099)Instruction limit reached!
% 13.32/2.59 % (3049099)------------------------------
% 13.32/2.59 % (3049099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.59 % (3049099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.59 % (3049099)CaDiCaL version: 2.1.3
% 13.32/2.59 % (3049099)Termination reason: Instruction limit
% 13.32/2.59 % (3049099)Termination phase: Saturation
% 13.32/2.59 % (3049099)Time elapsed: 0.042 s
% 13.32/2.59 % (3049099)Peak memory usage: 89 MB
% 13.32/2.59 % (3049099)Instructions burned: 113 (million)
% 13.32/2.59 % (3049102)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3913366481:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 13.32/2.59 % (3049102)Instruction limit reached!
% 13.32/2.59 % (3049102)------------------------------
% 13.32/2.59 % (3049102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.59 % (3049102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.59 % (3049102)CaDiCaL version: 2.1.3
% 35.45/5.65 % (3049102)Termination reason: Instruction limit
% 35.45/5.65 % (3049102)Termination phase: Saturation
% 35.45/5.65 % (3049102)Time elapsed: 0.032 s
% 35.45/5.65 % (3049102)Peak memory usage: 89 MB
% 35.45/5.65 % (3049102)Instructions burned: 127 (million)
% 35.45/5.65 % (3049105)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2659362177:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 35.45/5.65 % (3049106)lrs+10_1_sil=8000:sp=occurrence:random_seed=4216745657:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 35.45/5.65 % (3049105)Instruction limit reached!
% 35.45/5.65 % (3049105)------------------------------
% 35.45/5.65 % (3049105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/5.65 % (3049105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/5.65 % (3049105)CaDiCaL version: 2.1.3
% 35.45/5.65 % (3049105)Termination reason: Instruction limit
% 35.45/5.65 % (3049105)Termination phase: Saturation
% 35.45/5.65 % (3049105)Time elapsed: 0.037 s
% 35.45/5.65 % (3049105)Peak memory usage: 89 MB
% 35.45/5.65 % (3049105)Instructions burned: 117 (million)
% 35.45/5.65 % (3049108)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=230970871:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 35.45/5.65 % (3049108)Refutation not found, incomplete strategy
% 35.45/5.65 % (3049108)------------------------------
% 35.45/5.65 % (3049108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/5.65 % (3049108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/5.65 % (3049108)CaDiCaL version: 2.1.3
% 35.45/5.65 % (3049108)Termination reason: Refutation not found, incomplete strategy
% 35.45/5.65 % (3049108)Time elapsed: 0.003 s
% 35.45/5.65 % (3049108)Peak memory usage: 89 MB
% 35.45/5.65 % (3049108)Instructions burned: 7 (million)
% 35.45/5.65 % (3049111)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=169903816:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 35.45/5.65 % (3049108)------------------------------
% 35.45/5.65 % (3049108)------------------------------
% 35.45/5.65 % (3049106)Instruction limit reached!
% 35.45/5.65 % (3049106)------------------------------
% 35.45/5.65 % (3049106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/5.65 % (3049106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/5.65 % (3049106)CaDiCaL version: 2.1.3
% 35.45/5.65 % (3049106)Termination reason: Instruction limit
% 35.45/5.65 % (3049106)Termination phase: Saturation
% 35.45/5.65 % (3049106)Time elapsed: 0.292 s
% 35.45/5.65 % (3049106)Peak memory usage: 97 MB
% 35.45/5.65 % (3049106)Instructions burned: 910 (million)
% 35.45/5.65 % (3049114)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=404382695:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 35.45/5.65 % (3049114)Instruction limit reached!
% 35.45/5.65 % (3049114)------------------------------
% 35.45/5.65 % (3049114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/5.65 % (3049114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/5.65 % (3049114)CaDiCaL version: 2.1.3
% 35.45/5.65 % (3049114)Termination reason: Instruction limit
% 35.45/5.65 % (3049114)Termination phase: Saturation
% 35.45/5.65 % (3049114)Time elapsed: 0.036 s
% 35.45/5.65 % (3049114)Peak memory usage: 91 MB
% 35.45/5.65 % (3049114)Instructions burned: 135 (million)
% 35.45/5.65 % (3049115)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1961205395:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 35.45/5.65 % (3049117)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2252781432:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 35.45/5.65 % (3049115)Instruction limit reached!
% 35.45/5.65 % (3049115)------------------------------
% 35.45/5.65 % (3049115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.45/5.65 % (3049115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.45/5.65 % (3049115)CaDiCaL version: 2.1.3
% 35.45/5.65 % (3049115)Termination reason: Instruction limit
% 35.45/5.65 % (3049115)Termination phase: Saturation
% 35.45/5.65 % (3049115)Time elapsed: 0.165 s
% 35.45/5.65 % (3049115)Peak memory usage: 94 MB
% 35.45/5.65 % (3049115)Instructions burned: 592 (million)
% 35.45/5.65 % (3049098)Instruction limit reached!
% 35.45/5.65 % (3049098)------------------------------
% 48.16/7.42 % (3049098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.42 % (3049098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.42 % (3049098)CaDiCaL version: 2.1.3
% 48.16/7.42 % (3049098)Termination reason: Instruction limit
% 48.16/7.42 % (3049098)Termination phase: Saturation
% 48.16/7.42 % (3049098)Time elapsed: 0.846 s
% 48.16/7.42 % (3049098)Peak memory usage: 142 MB
% 48.16/7.42 % (3049098)Instructions burned: 2350 (million)
% 48.16/7.42 % (3049120)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2293421618:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 48.16/7.42 % (3049120)Instruction limit reached!
% 48.16/7.42 % (3049120)------------------------------
% 48.16/7.42 % (3049120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.42 % (3049120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.42 % (3049120)CaDiCaL version: 2.1.3
% 48.16/7.42 % (3049120)Termination reason: Instruction limit
% 48.16/7.42 % (3049120)Termination phase: Saturation
% 48.16/7.42 % (3049120)Time elapsed: 0.044 s
% 48.16/7.42 % (3049120)Peak memory usage: 91 MB
% 48.16/7.42 % (3049120)Instructions burned: 126 (million)
% 48.16/7.42 % (3049121)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2316325038:i=134:gtgl=5:slsql=off:gtg=exists_sym_2986 on theBenchmark for (2986ds/134Mi)
% 48.16/7.42 % (3049121)Instruction limit reached!
% 48.16/7.42 % (3049121)------------------------------
% 48.16/7.42 % (3049121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.42 % (3049121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.42 % (3049121)CaDiCaL version: 2.1.3
% 48.16/7.42 % (3049121)Termination reason: Instruction limit
% 48.16/7.42 % (3049121)Termination phase: Saturation
% 48.16/7.42 % (3049121)Time elapsed: 0.051 s
% 48.16/7.42 % (3049121)Peak memory usage: 90 MB
% 48.16/7.42 % (3049121)Instructions burned: 134 (million)
% 48.16/7.42 % (3049123)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1884526479:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/141Mi)
% 48.16/7.42 % (3049123)Instruction limit reached!
% 48.16/7.42 % (3049123)------------------------------
% 48.16/7.42 % (3049123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.42 % (3049123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.42 % (3049123)CaDiCaL version: 2.1.3
% 48.16/7.42 % (3049123)Termination reason: Instruction limit
% 48.16/7.42 % (3049123)Termination phase: Saturation
% 48.16/7.42 % (3049123)Time elapsed: 0.040 s
% 48.16/7.42 % (3049123)Peak memory usage: 90 MB
% 48.16/7.42 % (3049123)Instructions burned: 142 (million)
% 48.16/7.42 % (3049125)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=736068632:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2984 on theBenchmark for (2984ds/431Mi)
% 48.16/7.42 % (3049127)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3663002474:i=6060:aac=none:ins=25_2983 on theBenchmark for (2983ds/6060Mi)
% 48.16/7.42 % (3049125)Instruction limit reached!
% 48.16/7.42 % (3049125)------------------------------
% 48.16/7.42 % (3049125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.42 % (3049125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.42 % (3049125)CaDiCaL version: 2.1.3
% 48.16/7.42 % (3049125)Termination reason: Instruction limit
% 48.16/7.42 % (3049125)Termination phase: Saturation
% 48.16/7.42 % (3049125)Time elapsed: 0.139 s
% 48.16/7.42 % (3049125)Peak memory usage: 94 MB
% 48.16/7.42 % (3049125)Instructions burned: 432 (million)
% 48.16/7.42 % (3049130)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=973746064:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2981 on theBenchmark for (2981ds/150Mi)
% 48.16/7.42 % (3049130)Instruction limit reached!
% 48.16/7.42 % (3049130)------------------------------
% 48.16/7.42 % (3049130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.16/7.42 % (3049130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.16/7.42 % (3049130)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049130)Termination reason: Instruction limit
% 71.44/10.77 % (3049130)Termination phase: Saturation
% 71.44/10.77 % (3049130)Time elapsed: 0.052 s
% 71.44/10.77 % (3049130)Peak memory usage: 92 MB
% 71.44/10.77 % (3049130)Instructions burned: 153 (million)
% 71.44/10.77 % (3049132)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3674092525:i=14155:bd=all_2979 on theBenchmark for (2979ds/14155Mi)
% 71.44/10.77 % (3049111)Instruction limit reached!
% 71.44/10.77 % (3049111)------------------------------
% 71.44/10.77 % (3049111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049111)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049111)Termination reason: Instruction limit
% 71.44/10.77 % (3049111)Termination phase: Saturation
% 71.44/10.77 % (3049111)Time elapsed: 1.728 s
% 71.44/10.77 % (3049111)Peak memory usage: 155 MB
% 71.44/10.77 % (3049111)Instructions burned: 5203 (million)
% 71.44/10.77 % (3049134)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2912690496:i=667:av=off:fsr=off_2974 on theBenchmark for (2974ds/667Mi)
% 71.44/10.77 % (3049134)Instruction limit reached!
% 71.44/10.77 % (3049134)------------------------------
% 71.44/10.77 % (3049134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049134)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049134)Termination reason: Instruction limit
% 71.44/10.77 % (3049134)Termination phase: Saturation
% 71.44/10.77 % (3049134)Time elapsed: 0.166 s
% 71.44/10.77 % (3049134)Peak memory usage: 92 MB
% 71.44/10.77 % (3049134)Instructions burned: 670 (million)
% 71.44/10.77 % (3049136)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3777745645:s2a=on:i=185:s2at=1.8:fdi=4_2971 on theBenchmark for (2971ds/185Mi)
% 71.44/10.77 % (3049136)Instruction limit reached!
% 71.44/10.77 % (3049136)------------------------------
% 71.44/10.77 % (3049136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049136)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049136)Termination reason: Instruction limit
% 71.44/10.77 % (3049136)Termination phase: Saturation
% 71.44/10.77 % (3049136)Time elapsed: 0.050 s
% 71.44/10.77 % (3049136)Peak memory usage: 90 MB
% 71.44/10.77 % (3049136)Instructions burned: 186 (million)
% 71.44/10.77 % (3049138)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2847995165:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2969 on theBenchmark for (2969ds/193Mi)
% 71.44/10.77 % (3049138)Instruction limit reached!
% 71.44/10.77 % (3049138)------------------------------
% 71.44/10.77 % (3049138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049138)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049138)Termination reason: Instruction limit
% 71.44/10.77 % (3049138)Termination phase: Saturation
% 71.44/10.77 % (3049138)Time elapsed: 0.071 s
% 71.44/10.77 % (3049138)Peak memory usage: 91 MB
% 71.44/10.77 % (3049138)Instructions burned: 194 (million)
% 71.44/10.77 % (3049140)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3062454214:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2967 on theBenchmark for (2967ds/4850Mi)
% 71.44/10.77 % (3049127)Instruction limit reached!
% 71.44/10.77 % (3049127)------------------------------
% 71.44/10.77 % (3049127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049127)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049127)Termination reason: Instruction limit
% 71.44/10.77 % (3049127)Termination phase: Saturation
% 71.44/10.77 % (3049127)Time elapsed: 2.249 s
% 71.44/10.77 % (3049127)Peak memory usage: 173 MB
% 71.44/10.77 % (3049127)Instructions burned: 6061 (million)
% 71.44/10.77 % (3049142)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2222605040:i=12111:sd=1:ss=included_2959 on theBenchmark for (2959ds/12111Mi)
% 71.44/10.77 % (3049140)Instruction limit reached!
% 71.44/10.77 % (3049140)------------------------------
% 71.44/10.77 % (3049140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049140)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049140)Termination reason: Instruction limit
% 71.44/10.77 % (3049140)Termination phase: Saturation
% 71.44/10.77 % (3049140)Time elapsed: 1.665 s
% 71.44/10.77 % (3049140)Peak memory usage: 146 MB
% 71.44/10.77 % (3049140)Instructions burned: 4852 (million)
% 71.44/10.77 % (3049145)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3400082881:i=319:kws=precedence:fsr=off_2949 on theBenchmark for (2949ds/319Mi)
% 71.44/10.77 % (3049145)Instruction limit reached!
% 71.44/10.77 % (3049145)------------------------------
% 71.44/10.77 % (3049145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049145)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049145)Termination reason: Instruction limit
% 71.44/10.77 % (3049145)Termination phase: Saturation
% 71.44/10.77 % (3049145)Time elapsed: 0.105 s
% 71.44/10.77 % (3049145)Peak memory usage: 92 MB
% 71.44/10.77 % (3049145)Instructions burned: 322 (million)
% 71.44/10.77 % (3049147)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1096111473:i=2064:ep=RST_2946 on theBenchmark for (2946ds/2064Mi)
% 71.44/10.77 % (3049117)Instruction limit reached!
% 71.44/10.77 % (3049117)------------------------------
% 71.44/10.77 % (3049117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049117)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049117)Termination reason: Instruction limit
% 71.44/10.77 % (3049117)Termination phase: Saturation
% 71.44/10.77 % (3049117)Time elapsed: 4.382 s
% 71.44/10.77 % (3049117)Peak memory usage: 234 MB
% 71.44/10.77 % (3049117)Instructions burned: 13195 (million)
% 71.44/10.77 % (3049149)dis-1011_128_sil=32000:random_seed=3410631708:i=3706:ep=RST:av=off_2943 on theBenchmark for (2943ds/3706Mi)
% 71.44/10.77 % (3049147)Instruction limit reached!
% 71.44/10.77 % (3049147)------------------------------
% 71.44/10.77 % (3049147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049147)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049147)Termination reason: Instruction limit
% 71.44/10.77 % (3049147)Termination phase: Saturation
% 71.44/10.77 % (3049147)Time elapsed: 0.562 s
% 71.44/10.77 % (3049147)Peak memory usage: 107 MB
% 71.44/10.77 % (3049147)Instructions burned: 2067 (million)
% 71.44/10.77 % (3049151)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1459828704:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2939 on theBenchmark for (2939ds/757Mi)
% 71.44/10.77 % (3049151)Instruction limit reached!
% 71.44/10.77 % (3049151)------------------------------
% 71.44/10.77 % (3049151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049151)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049151)Termination reason: Instruction limit
% 71.44/10.77 % (3049151)Termination phase: Saturation
% 71.44/10.77 % (3049151)Time elapsed: 0.213 s
% 71.44/10.77 % (3049151)Peak memory usage: 99 MB
% 71.44/10.77 % (3049151)Instructions burned: 758 (million)
% 71.44/10.77 % (3049153)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1801657900:i=13913:ss=axioms:sgt=8_2936 on theBenchmark for (2936ds/13913Mi)
% 71.44/10.77 % (3049132)Instruction limit reached!
% 71.44/10.77 % (3049132)------------------------------
% 71.44/10.77 % (3049132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049132)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049132)Termination reason: Instruction limit
% 71.44/10.77 % (3049132)Termination phase: Saturation
% 71.44/10.77 % (3049132)Time elapsed: 4.607 s
% 71.44/10.77 % (3049132)Peak memory usage: 241 MB
% 71.44/10.77 % (3049132)Instructions burned: 14158 (million)
% 71.44/10.77 % (3049149)Instruction limit reached!
% 71.44/10.77 % (3049149)------------------------------
% 71.44/10.77 % (3049149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049149)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049149)Termination reason: Instruction limit
% 71.44/10.77 % (3049149)Termination phase: Saturation
% 71.44/10.77 % (3049149)Time elapsed: 1.088 s
% 71.44/10.77 % (3049149)Peak memory usage: 108 MB
% 71.44/10.77 % (3049149)Instructions burned: 3708 (million)
% 71.44/10.77 % (3049155)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=175932321:i=9925:aac=none_2932 on theBenchmark for (2932ds/9925Mi)
% 71.44/10.77 % (3049156)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1477453928:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2931 on theBenchmark for (2931ds/2479Mi)
% 71.44/10.77 % (3049156)Instruction limit reached!
% 71.44/10.77 % (3049156)------------------------------
% 71.44/10.77 % (3049156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049156)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049156)Termination reason: Instruction limit
% 71.44/10.77 % (3049156)Termination phase: Saturation
% 71.44/10.77 % (3049156)Time elapsed: 0.854 s
% 71.44/10.77 % (3049156)Peak memory usage: 103 MB
% 71.44/10.77 % (3049156)Instructions burned: 2480 (million)
% 71.44/10.77 % (3049159)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1140200235:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2921 on theBenchmark for (2921ds/440Mi)
% 71.44/10.77 % (3049159)Instruction limit reached!
% 71.44/10.77 % (3049159)------------------------------
% 71.44/10.77 % (3049159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049159)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049159)Termination reason: Instruction limit
% 71.44/10.77 % (3049159)Termination phase: Saturation
% 71.44/10.77 % (3049159)Time elapsed: 0.117 s
% 71.44/10.77 % (3049159)Peak memory usage: 93 MB
% 71.44/10.77 % (3049159)Instructions burned: 440 (million)
% 71.44/10.77 % (3049161)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1033693081:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2919 on theBenchmark for (2919ds/11145Mi)
% 71.44/10.77 % (3049142)Instruction limit reached!
% 71.44/10.77 % (3049142)------------------------------
% 71.44/10.77 % (3049142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049142)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049142)Termination reason: Instruction limit
% 71.44/10.77 % (3049142)Termination phase: Saturation
% 71.44/10.77 % (3049142)Time elapsed: 4.840 s
% 71.44/10.77 % (3049142)Peak memory usage: 209 MB
% 71.44/10.77 % (3049142)Instructions burned: 12113 (million)
% 71.44/10.77 % (3049163)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3419190765:cts=off:i=3034:av=off:er=known:fsd=on_2909 on theBenchmark for (2909ds/3034Mi)
% 71.44/10.77 % (3049163)First to succeed.
% 71.44/10.77 % (3049163)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3049071"
% 71.44/10.77 % (3049155)Instruction limit reached!
% 71.44/10.77 % (3049155)------------------------------
% 71.44/10.77 % (3049155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.44/10.77 % (3049155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.44/10.77 % (3049155)CaDiCaL version: 2.1.3
% 71.44/10.77 % (3049155)Termination reason: Instruction limit
% 71.44/10.77 % (3049155)Termination phase: Saturation
% 71.44/10.77 % (3049155)Time elapsed: 3.233 s
% 71.44/10.77 % (3049155)Peak memory usage: 199 MB
% 71.44/10.77 % (3049155)Instructions burned: 9927 (million)
% 71.44/10.77 % (3049163)Refutation found. Thanks to Tanya!
% 71.44/10.77 % SZS status Theorem for theBenchmark
% 71.44/10.77 % SZS output start Proof for theBenchmark
% See solution above
% 71.89/10.87 % (3049163)------------------------------
% 71.89/10.87 % (3049163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.89/10.87 % (3049163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.89/10.87 % (3049163)CaDiCaL version: 2.1.3
% 71.89/10.87 % (3049163)Termination reason: Refutation
% 71.89/10.87 % (3049163)Time elapsed: 0.833 s
% 71.89/10.87 % (3049163)Peak memory usage: 136 MB
% 71.89/10.87 % (3049163)Instructions burned: 2344 (million)
% 71.89/10.87 % (3049163)------------------------------
% 71.89/10.87 % (3049163)------------------------------
% 71.89/10.87 % (3049071)Success in time 10.198 s
% 71.89/10.87 % Vampire exiting
%------------------------------------------------------------------------------