%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU431+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 110.29s 35.02s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 46
% Syntax : Number of formulae : 324 ( 65 unt; 31 def)
% Number of atoms : 1886 ( 87 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 2853 (1291 ~;1412 |; 78 &)
% ( 40 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 24 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 13 con; 0-5 aty)
% Number of variables : 519 ( 0 sgn 491 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,axiom,
! [X0,X1] :
( X1 = k3_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f657,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( r2_hidden(X1,X0)
=> ( r2_hidden(X1,k8_setfam_1(X0,X2))
<=> ! [X3] :
( r2_hidden(X3,X2)
=> r2_hidden(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_setfam_1) ).
fof(f668,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f669,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f674,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f1481,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/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f71063,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X2)
& m2_relset_1(X3,X1,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
=> ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_4_2_relset_2) ).
fof(f71076,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/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f71107,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
=> ! [X5] :
( r2_hidden(X5,X3)
=> r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_relset_2) ).
fof(f71108,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X5,X2)
=> r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relset_2) ).
fof(f71114,conjecture,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m2_relset_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( X4 = a_4_2_relset_2(X0,X1,X2,X3)
=> k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2) = k8_setfam_1(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_relset_2) ).
fof(f71115,negated_conjecture,
~ ! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m2_relset_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( X4 = a_4_2_relset_2(X0,X1,X2,X3)
=> k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2) = k8_setfam_1(X1,X4) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f71114]) ).
fof(f71233,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k8_setfam_1(X1,X4) != k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2)
& X4 = a_4_2_relset_2(X0,X1,X2,X3)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& m2_relset_1(X2,X0,X1) )
& ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f71115]) ).
fof(f71234,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k8_setfam_1(X1,X4) != k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2)
& X4 = a_4_2_relset_2(X0,X1,X2,X3)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& m2_relset_1(X2,X0,X1) )
& ~ v1_xboole_0(X1) ),
inference(flattening,[],[f71233]) ).
fof(f71260,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f669]) ).
fof(f71261,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f668]) ).
fof(f71293,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f674]) ).
fof(f71296,plain,
! [X0,X1,X2] :
( ( r2_hidden(X1,k8_setfam_1(X0,X2))
<=> ! [X3] :
( r2_hidden(X1,X3)
| ~ r2_hidden(X3,X2) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f657]) ).
fof(f71297,plain,
! [X0,X1,X2] :
( ( r2_hidden(X1,k8_setfam_1(X0,X2))
<=> ! [X3] :
( r2_hidden(X1,X3)
| ~ r2_hidden(X3,X2) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f71296]) ).
fof(f71299,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(ennf_transformation,[],[f71063]) ).
fof(f71300,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(flattening,[],[f71299]) ).
fof(f71304,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f71108]) ).
fof(f71305,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f71107]) ).
fof(f71306,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f71305]) ).
fof(f71307,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,[],[f71076]) ).
fof(f71308,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,[],[f71307]) ).
fof(f71315,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f71316,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f71315]) ).
fof(f71326,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f71552,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f72440,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,[],[f1481]) ).
fof(f75334,plain,
( k8_setfam_1(sK77,sK80) != k8_relset_2(sK76,sK77,k5_setfam_1(sK76,sK79),sK78)
& sK80 = a_4_2_relset_2(sK76,sK77,sK78,sK79)
& m1_subset_1(sK80,k1_zfmisc_1(k1_zfmisc_1(sK77)))
& m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
& m2_relset_1(sK78,sK76,sK77)
& ~ v1_xboole_0(sK77) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76,sK77,sK78,sK79,sK80]),skolemize(X0,sK76),skolemize(X1,sK77),skolemize(X2,sK78),skolemize(X3,sK79),skolemize(X4,sK80)],[f71234]) ).
fof(f75391,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X1,k8_setfam_1(X0,X2))
| ? [X3] :
( ~ r2_hidden(X1,X3)
& r2_hidden(X3,X2) ) )
& ( ! [X3] :
( r2_hidden(X1,X3)
| ~ r2_hidden(X3,X2) )
| ~ r2_hidden(X1,k8_setfam_1(X0,X2)) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(nnf_transformation,[],[f71297]) ).
fof(f75392,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X1,k8_setfam_1(X0,X2))
| ? [X3] :
( ~ r2_hidden(X1,X3)
& r2_hidden(X3,X2) ) )
& ( ! [X4] :
( r2_hidden(X1,X4)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(X1,k8_setfam_1(X0,X2)) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(rectify,[],[f75391]) ).
fof(f75393,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X1,k8_setfam_1(X0,X2))
| ( ~ r2_hidden(X1,sK114(X1,X2))
& r2_hidden(sK114(X1,X2),X2) ) )
& ( ! [X4] :
( r2_hidden(X1,X4)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(X1,k8_setfam_1(X0,X2)) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK114]),skolemize(X3,sK114(X1,X2))],[f75392]) ).
fof(f75395,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(nnf_transformation,[],[f71300]) ).
fof(f75396,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(X1))
& k8_relset_2(X1,X2,X6,X3) = X0
& r2_hidden(X6,X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(rectify,[],[f75395]) ).
fof(f75397,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ( m1_subset_1(sK116(X0,X1,X2,X3,X4),k1_zfmisc_1(X1))
& k8_relset_2(X1,X2,sK116(X0,X1,X2,X3,X4),X3) = X0
& r2_hidden(sK116(X0,X1,X2,X3,X4),X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(X6,sK116(X0,X1,X2,X3,X4))],[f75396]) ).
fof(f75398,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f71304]) ).
fof(f75399,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f75398]) ).
fof(f75400,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK117(X2,X3,X4))))
& r2_hidden(sK117(X2,X3,X4),X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(X5,sK117(X2,X3,X4))],[f75399]) ).
fof(f75412,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f71326]) ).
fof(f75463,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f75464,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X4] :
( r2_hidden(X2,X4)
& r2_hidden(X4,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ? [X7] :
( r2_hidden(X5,X7)
& r2_hidden(X7,X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(rectify,[],[f75463]) ).
fof(f75465,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK163(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK163(X0,X1),X1) )
& ( ( r2_hidden(sK163(X0,X1),sK164(X0,X1))
& r2_hidden(sK164(X0,X1),X0) )
| r2_hidden(sK163(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK165(X0,X5))
& r2_hidden(sK165(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK163,sK164,sK165]),skolemize(X2,sK163(X0,X1)),skolemize(X4,sK164(X0,X1)),skolemize(X7,sK165(X0,X5))],[f75464]) ).
fof(f75512,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f75513,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f75512]) ).
fof(f75514,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,[],[f71552]) ).
fof(f75515,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,[],[f75514]) ).
fof(f75516,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK185(X0,X1),X1)
& r2_hidden(sK185(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK185]),skolemize(X2,sK185(X0,X1))],[f75515]) ).
fof(f76687,plain,
~ v1_xboole_0(sK77),
inference(cnf_transformation,[],[f75334]) ).
fof(f76688,plain,
m2_relset_1(sK78,sK76,sK77),
inference(cnf_transformation,[],[f75334]) ).
fof(f76689,plain,
m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76))),
inference(cnf_transformation,[],[f75334]) ).
fof(f76690,plain,
m1_subset_1(sK80,k1_zfmisc_1(k1_zfmisc_1(sK77))),
inference(cnf_transformation,[],[f75334]) ).
fof(f76691,plain,
sK80 = a_4_2_relset_2(sK76,sK77,sK78,sK79),
inference(cnf_transformation,[],[f75334]) ).
fof(f76692,plain,
k8_setfam_1(sK77,sK80) != k8_relset_2(sK76,sK77,k5_setfam_1(sK76,sK79),sK78),
inference(cnf_transformation,[],[f75334]) ).
fof(f76774,plain,
! [X0,X1] :
( k3_tarski(X1) = k5_setfam_1(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f71260]) ).
fof(f76775,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f71261]) ).
fof(f76831,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f71293]) ).
fof(f76833,plain,
! [X2,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X1,k8_setfam_1(X0,X2))
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,X4) ),
inference(cnf_transformation,[],[f75393]) ).
fof(f76834,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK114(X1,X2),X2)
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k8_setfam_1(X0,X2)) ),
inference(cnf_transformation,[],[f75393]) ).
fof(f76835,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r2_hidden(X1,sK114(X1,X2))
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k8_setfam_1(X0,X2)) ),
inference(cnf_transformation,[],[f75393]) ).
fof(f76839,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK116(X0,X1,X2,X3,X4),X4)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f75397]) ).
fof(f76840,plain,
! [X2,X3,X0,X1,X4] :
( k8_relset_2(X1,X2,sK116(X0,X1,X2,X3,X4),X3) = X0
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f75397]) ).
fof(f76841,plain,
! [X2,X3,X0,X1,X4] :
( m1_subset_1(sK116(X0,X1,X2,X3,X4),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f75397]) ).
fof(f76842,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f75397]) ).
fof(f76846,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| r2_hidden(sK117(X2,X3,X4),X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f75400]) ).
fof(f76847,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK117(X2,X3,X4))))
| r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f75400]) ).
fof(f76848,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ r2_hidden(X5,X3)
| r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f71306]) ).
fof(f76849,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,[],[f71308]) ).
fof(f76861,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f71316]) ).
fof(f76874,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f75412]) ).
fof(f77074,plain,
! [X0,X1,X5] :
( r2_hidden(sK165(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f75465]) ).
fof(f77075,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK165(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f75465]) ).
fof(f77076,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f75465]) ).
fof(f77281,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f75513]) ).
fof(f77284,plain,
! [X0,X1] :
( r2_hidden(sK185(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f75516]) ).
fof(f77285,plain,
! [X0,X1] :
( ~ r2_hidden(sK185(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f75516]) ).
fof(f78467,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,[],[f72440]) ).
fof(f82391,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k8_relset_2(X1,X2,X5,X3),a_4_2_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ r2_hidden(X5,X4)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(equality_resolution,[],[f76842]) ).
fof(f82405,plain,
! [X0,X6,X5] :
( r2_hidden(X5,k3_tarski(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f77076]) ).
fof(f82406,plain,
! [X0,X5] :
( r2_hidden(X5,sK165(X0,X5))
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f77075]) ).
fof(f82407,plain,
! [X0,X5] :
( r2_hidden(sK165(X0,X5),X0)
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f77074]) ).
fof(f82769,definition,
sF964 = k8_setfam_1(sK77,sK80),
introduced(definition,[new_symbols(definition,[sF964])],[function_definition]) ).
fof(f82770,plain,
k8_setfam_1(sK77,sK80) = sF964,
inference(reorient_equations,[],[f82769]) ).
fof(f82771,definition,
sF965 = k5_setfam_1(sK76,sK79),
introduced(definition,[new_symbols(definition,[sF965])],[function_definition]) ).
fof(f82772,plain,
k5_setfam_1(sK76,sK79) = sF965,
inference(reorient_equations,[],[f82771]) ).
fof(f82773,definition,
sF966 = k8_relset_2(sK76,sK77,sF965,sK78),
introduced(definition,[new_symbols(definition,[sF966])],[function_definition]) ).
fof(f82774,plain,
k8_relset_2(sK76,sK77,sF965,sK78) = sF966,
inference(reorient_equations,[],[f82773]) ).
fof(f82775,plain,
sF964 != sF966,
inference(definition_folding,[],[f76692,f82774,f82772,f82770]) ).
fof(f82776,definition,
sF967 = a_4_2_relset_2(sK76,sK77,sK78,sK79),
introduced(definition,[new_symbols(definition,[sF967])],[function_definition]) ).
fof(f82777,plain,
a_4_2_relset_2(sK76,sK77,sK78,sK79) = sF967,
inference(reorient_equations,[],[f82776]) ).
fof(f82778,plain,
sK80 = sF967,
inference(definition_folding,[],[f76691,f82777]) ).
fof(f82779,definition,
sF968 = k1_zfmisc_1(sK77),
introduced(definition,[new_symbols(definition,[sF968])],[function_definition]) ).
fof(f82780,plain,
k1_zfmisc_1(sK77) = sF968,
inference(reorient_equations,[],[f82779]) ).
fof(f82781,definition,
sF969 = k1_zfmisc_1(sF968),
introduced(definition,[new_symbols(definition,[sF969])],[function_definition]) ).
fof(f82782,plain,
k1_zfmisc_1(sF968) = sF969,
inference(reorient_equations,[],[f82781]) ).
fof(f82783,plain,
m1_subset_1(sK80,sF969),
inference(definition_folding,[],[f76690,f82782,f82780]) ).
fof(f82784,definition,
sF970 = k1_zfmisc_1(sK76),
introduced(definition,[new_symbols(definition,[sF970])],[function_definition]) ).
fof(f82785,plain,
k1_zfmisc_1(sK76) = sF970,
inference(reorient_equations,[],[f82784]) ).
fof(f82786,definition,
sF971 = k1_zfmisc_1(sF970),
introduced(definition,[new_symbols(definition,[sF971])],[function_definition]) ).
fof(f82787,plain,
k1_zfmisc_1(sF970) = sF971,
inference(reorient_equations,[],[f82786]) ).
fof(f82788,plain,
m1_subset_1(sK79,sF971),
inference(definition_folding,[],[f76689,f82787,f82785]) ).
fof(f84711,definition,
( spl972_381
<=> v1_xboole_0(sK77) ),
introduced(definition,[new_symbols(definition,[spl972_381])],[avatar_definition]) ).
fof(f84713,plain,
( ~ v1_xboole_0(sK77)
| spl972_381 ),
inference(avatar_component_clause,[],[f84711]) ).
fof(f84714,plain,
~ spl972_381,
inference(avatar_split_clause,[],[f76687,f84711]) ).
fof(f84716,definition,
( spl972_382
<=> m2_relset_1(sK78,sK76,sK77) ),
introduced(definition,[new_symbols(definition,[spl972_382])],[avatar_definition]) ).
fof(f84718,plain,
( m2_relset_1(sK78,sK76,sK77)
| ~ spl972_382 ),
inference(avatar_component_clause,[],[f84716]) ).
fof(f84719,plain,
spl972_382,
inference(avatar_split_clause,[],[f76688,f84716]) ).
fof(f84721,definition,
( spl972_383
<=> m1_subset_1(sK79,sF971) ),
introduced(definition,[new_symbols(definition,[spl972_383])],[avatar_definition]) ).
fof(f84723,plain,
( m1_subset_1(sK79,sF971)
| ~ spl972_383 ),
inference(avatar_component_clause,[],[f84721]) ).
fof(f84724,plain,
spl972_383,
inference(avatar_split_clause,[],[f82788,f84721]) ).
fof(f84726,definition,
( spl972_384
<=> m1_subset_1(sK80,sF969) ),
introduced(definition,[new_symbols(definition,[spl972_384])],[avatar_definition]) ).
fof(f84728,plain,
( m1_subset_1(sK80,sF969)
| ~ spl972_384 ),
inference(avatar_component_clause,[],[f84726]) ).
fof(f84729,plain,
spl972_384,
inference(avatar_split_clause,[],[f82783,f84726]) ).
fof(f84731,definition,
( spl972_385
<=> sK80 = sF967 ),
introduced(definition,[new_symbols(definition,[spl972_385])],[avatar_definition]) ).
fof(f84733,plain,
( sK80 = sF967
| ~ spl972_385 ),
inference(avatar_component_clause,[],[f84731]) ).
fof(f84734,plain,
spl972_385,
inference(avatar_split_clause,[],[f82778,f84731]) ).
fof(f84736,definition,
( spl972_386
<=> sF964 = sF966 ),
introduced(definition,[new_symbols(definition,[spl972_386])],[avatar_definition]) ).
fof(f84738,plain,
( sF964 != sF966
| spl972_386 ),
inference(avatar_component_clause,[],[f84736]) ).
fof(f84739,plain,
~ spl972_386,
inference(avatar_split_clause,[],[f82775,f84736]) ).
fof(f84746,definition,
( spl972_388
<=> k8_setfam_1(sK77,sK80) = sF964 ),
introduced(definition,[new_symbols(definition,[spl972_388])],[avatar_definition]) ).
fof(f84748,plain,
( k8_setfam_1(sK77,sK80) = sF964
| ~ spl972_388 ),
inference(avatar_component_clause,[],[f84746]) ).
fof(f84749,plain,
spl972_388,
inference(avatar_split_clause,[],[f82770,f84746]) ).
fof(f84751,definition,
( spl972_389
<=> k5_setfam_1(sK76,sK79) = sF965 ),
introduced(definition,[new_symbols(definition,[spl972_389])],[avatar_definition]) ).
fof(f84753,plain,
( k5_setfam_1(sK76,sK79) = sF965
| ~ spl972_389 ),
inference(avatar_component_clause,[],[f84751]) ).
fof(f84754,plain,
spl972_389,
inference(avatar_split_clause,[],[f82772,f84751]) ).
fof(f84756,definition,
( spl972_390
<=> k8_relset_2(sK76,sK77,sF965,sK78) = sF966 ),
introduced(definition,[new_symbols(definition,[spl972_390])],[avatar_definition]) ).
fof(f84758,plain,
( k8_relset_2(sK76,sK77,sF965,sK78) = sF966
| ~ spl972_390 ),
inference(avatar_component_clause,[],[f84756]) ).
fof(f84759,plain,
spl972_390,
inference(avatar_split_clause,[],[f82774,f84756]) ).
fof(f84761,definition,
( spl972_391
<=> a_4_2_relset_2(sK76,sK77,sK78,sK79) = sF967 ),
introduced(definition,[new_symbols(definition,[spl972_391])],[avatar_definition]) ).
fof(f84763,plain,
( a_4_2_relset_2(sK76,sK77,sK78,sK79) = sF967
| ~ spl972_391 ),
inference(avatar_component_clause,[],[f84761]) ).
fof(f84764,plain,
spl972_391,
inference(avatar_split_clause,[],[f82777,f84761]) ).
fof(f84766,definition,
( spl972_392
<=> k1_zfmisc_1(sK77) = sF968 ),
introduced(definition,[new_symbols(definition,[spl972_392])],[avatar_definition]) ).
fof(f84768,plain,
( k1_zfmisc_1(sK77) = sF968
| ~ spl972_392 ),
inference(avatar_component_clause,[],[f84766]) ).
fof(f84769,plain,
spl972_392,
inference(avatar_split_clause,[],[f82780,f84766]) ).
fof(f84771,definition,
( spl972_393
<=> k1_zfmisc_1(sF968) = sF969 ),
introduced(definition,[new_symbols(definition,[spl972_393])],[avatar_definition]) ).
fof(f84773,plain,
( k1_zfmisc_1(sF968) = sF969
| ~ spl972_393 ),
inference(avatar_component_clause,[],[f84771]) ).
fof(f84774,plain,
spl972_393,
inference(avatar_split_clause,[],[f82782,f84771]) ).
fof(f84776,definition,
( spl972_394
<=> k1_zfmisc_1(sK76) = sF970 ),
introduced(definition,[new_symbols(definition,[spl972_394])],[avatar_definition]) ).
fof(f84778,plain,
( k1_zfmisc_1(sK76) = sF970
| ~ spl972_394 ),
inference(avatar_component_clause,[],[f84776]) ).
fof(f84779,plain,
spl972_394,
inference(avatar_split_clause,[],[f82785,f84776]) ).
fof(f84781,definition,
( spl972_395
<=> k1_zfmisc_1(sF970) = sF971 ),
introduced(definition,[new_symbols(definition,[spl972_395])],[avatar_definition]) ).
fof(f84783,plain,
( k1_zfmisc_1(sF970) = sF971
| ~ spl972_395 ),
inference(avatar_component_clause,[],[f84781]) ).
fof(f84784,plain,
spl972_395,
inference(avatar_split_clause,[],[f82787,f84781]) ).
fof(f84785,plain,
( m1_subset_1(sF966,k1_zfmisc_1(sK77))
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76))
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77)))
| ~ spl972_390 ),
inference(superposition,[],[f76849,f84758]) ).
fof(f84787,definition,
( spl972_396
<=> m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77))) ),
introduced(definition,[new_symbols(definition,[spl972_396])],[avatar_definition]) ).
fof(f84788,plain,
( m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77)))
| ~ spl972_396 ),
inference(avatar_component_clause,[],[f84787]) ).
fof(f84789,plain,
( ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77)))
| spl972_396 ),
inference(avatar_component_clause,[],[f84787]) ).
fof(f84791,definition,
( spl972_397
<=> m1_subset_1(sF965,k1_zfmisc_1(sK76)) ),
introduced(definition,[new_symbols(definition,[spl972_397])],[avatar_definition]) ).
fof(f84793,plain,
( ~ m1_subset_1(sF965,k1_zfmisc_1(sK76))
| spl972_397 ),
inference(avatar_component_clause,[],[f84791]) ).
fof(f84795,definition,
( spl972_398
<=> m1_subset_1(sF966,k1_zfmisc_1(sK77)) ),
introduced(definition,[new_symbols(definition,[spl972_398])],[avatar_definition]) ).
fof(f84797,plain,
( m1_subset_1(sF966,k1_zfmisc_1(sK77))
| ~ spl972_398 ),
inference(avatar_component_clause,[],[f84795]) ).
fof(f84798,plain,
( ~ spl972_396
| ~ spl972_397
| spl972_398
| ~ spl972_390 ),
inference(avatar_split_clause,[],[f84785,f84756,f84795,f84791,f84787]) ).
fof(f84804,plain,
( ~ m2_relset_1(sK78,sK76,sK77)
| spl972_396 ),
inference(resolution,[],[f78467,f84789]) ).
fof(f84806,plain,
( $false
| ~ spl972_382
| spl972_396 ),
inference(forward_subsumption_resolution,[],[f84804,f84718]) ).
fof(f84807,plain,
( ~ spl972_382
| spl972_396 ),
inference(avatar_contradiction_clause,[],[f84806]) ).
fof(f84808,plain,
( ~ m1_subset_1(sF965,sF970)
| ~ spl972_394
| spl972_397 ),
inference(forward_demodulation,[],[f84793,f84778]) ).
fof(f84810,definition,
( spl972_399
<=> m1_subset_1(sF965,sF970) ),
introduced(definition,[new_symbols(definition,[spl972_399])],[avatar_definition]) ).
fof(f84811,plain,
( m1_subset_1(sF965,sF970)
| ~ spl972_399 ),
inference(avatar_component_clause,[],[f84810]) ).
fof(f84813,plain,
( ~ spl972_399
| ~ spl972_394
| spl972_397 ),
inference(avatar_split_clause,[],[f84808,f84791,f84776,f84810]) ).
fof(f84823,plain,
( sF965 = k3_tarski(sK79)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
| ~ spl972_389 ),
inference(superposition,[],[f84753,f76774]) ).
fof(f84824,plain,
( ~ m1_subset_1(sK79,k1_zfmisc_1(sF970))
| sF965 = k3_tarski(sK79)
| ~ spl972_389
| ~ spl972_394 ),
inference(forward_demodulation,[],[f84823,f84778]) ).
fof(f84826,plain,
( ~ m1_subset_1(sK79,sF971)
| sF965 = k3_tarski(sK79)
| ~ spl972_389
| ~ spl972_394
| ~ spl972_395 ),
inference(forward_demodulation,[],[f84824,f84783]) ).
fof(f84828,plain,
( sF965 = k3_tarski(sK79)
| ~ spl972_383
| ~ spl972_389
| ~ spl972_394
| ~ spl972_395 ),
inference(forward_subsumption_resolution,[],[f84826,f84723]) ).
fof(f84831,definition,
( spl972_401
<=> sF965 = k3_tarski(sK79) ),
introduced(definition,[new_symbols(definition,[spl972_401])],[avatar_definition]) ).
fof(f84833,plain,
( sF965 = k3_tarski(sK79)
| ~ spl972_401 ),
inference(avatar_component_clause,[],[f84831]) ).
fof(f84834,plain,
( spl972_401
| ~ spl972_383
| ~ spl972_389
| ~ spl972_394
| ~ spl972_395 ),
inference(avatar_split_clause,[],[f84828,f84781,f84776,f84751,f84721,f84831]) ).
fof(f84846,plain,
( m1_subset_1(sF964,k1_zfmisc_1(sK77))
| ~ m1_subset_1(sK80,k1_zfmisc_1(k1_zfmisc_1(sK77)))
| ~ spl972_388 ),
inference(superposition,[],[f76831,f84748]) ).
fof(f84853,plain,
( m1_subset_1(sF964,sF968)
| ~ m1_subset_1(sK80,k1_zfmisc_1(k1_zfmisc_1(sK77)))
| ~ spl972_388
| ~ spl972_392 ),
inference(forward_demodulation,[],[f84846,f84768]) ).
fof(f84854,plain,
( ~ m1_subset_1(sK80,k1_zfmisc_1(sF968))
| m1_subset_1(sF964,sF968)
| ~ spl972_388
| ~ spl972_392 ),
inference(forward_demodulation,[],[f84853,f84768]) ).
fof(f84855,plain,
( ~ m1_subset_1(sK80,sF969)
| m1_subset_1(sF964,sF968)
| ~ spl972_388
| ~ spl972_392
| ~ spl972_393 ),
inference(forward_demodulation,[],[f84854,f84773]) ).
fof(f84856,plain,
( m1_subset_1(sF964,sF968)
| ~ spl972_384
| ~ spl972_388
| ~ spl972_392
| ~ spl972_393 ),
inference(forward_subsumption_resolution,[],[f84855,f84728]) ).
fof(f84858,definition,
( spl972_403
<=> m1_subset_1(sF964,sF968) ),
introduced(definition,[new_symbols(definition,[spl972_403])],[avatar_definition]) ).
fof(f84860,plain,
( m1_subset_1(sF964,sF968)
| ~ spl972_403 ),
inference(avatar_component_clause,[],[f84858]) ).
fof(f84861,plain,
( spl972_403
| ~ spl972_384
| ~ spl972_388
| ~ spl972_392
| ~ spl972_393 ),
inference(avatar_split_clause,[],[f84856,f84771,f84766,f84746,f84726,f84858]) ).
fof(f84867,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF968)
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,sK77) )
| ~ spl972_392 ),
inference(superposition,[],[f76861,f84768]) ).
fof(f84869,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF971)
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,sF970) )
| ~ spl972_395 ),
inference(superposition,[],[f76861,f84783]) ).
fof(f84878,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k8_relset_2(X1,X2,X5,X3),a_4_2_relset_2(X1,X2,X3,X4))
| ~ r2_hidden(X5,X4)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(forward_subsumption_resolution,[],[f82391,f76861]) ).
fof(f84882,plain,
( m1_subset_1(sF965,k1_zfmisc_1(sK76))
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
| ~ spl972_389 ),
inference(superposition,[],[f76775,f84753]) ).
fof(f84891,plain,
( m1_subset_1(sF965,sF970)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
| ~ spl972_389
| ~ spl972_394 ),
inference(forward_demodulation,[],[f84882,f84778]) ).
fof(f84892,plain,
( ~ m1_subset_1(sK79,k1_zfmisc_1(sF970))
| m1_subset_1(sF965,sF970)
| ~ spl972_389
| ~ spl972_394 ),
inference(forward_demodulation,[],[f84891,f84778]) ).
fof(f84893,plain,
( ~ m1_subset_1(sK79,sF971)
| m1_subset_1(sF965,sF970)
| ~ spl972_389
| ~ spl972_394
| ~ spl972_395 ),
inference(forward_demodulation,[],[f84892,f84783]) ).
fof(f84894,plain,
( m1_subset_1(sF965,sF970)
| ~ spl972_383
| ~ spl972_389
| ~ spl972_394
| ~ spl972_395 ),
inference(forward_subsumption_resolution,[],[f84893,f84723]) ).
fof(f84895,plain,
( spl972_399
| ~ spl972_383
| ~ spl972_389
| ~ spl972_394
| ~ spl972_395 ),
inference(avatar_split_clause,[],[f84894,f84781,f84776,f84751,f84721,f84810]) ).
fof(f84897,plain,
( m1_subset_1(sF966,sF968)
| ~ spl972_392
| ~ spl972_398 ),
inference(forward_demodulation,[],[f84797,f84768]) ).
fof(f84900,definition,
( spl972_404
<=> m1_subset_1(sF966,sF968) ),
introduced(definition,[new_symbols(definition,[spl972_404])],[avatar_definition]) ).
fof(f84902,plain,
( m1_subset_1(sF966,sF968)
| ~ spl972_404 ),
inference(avatar_component_clause,[],[f84900]) ).
fof(f84903,plain,
( spl972_404
| ~ spl972_392
| ~ spl972_398 ),
inference(avatar_split_clause,[],[f84897,f84795,f84766,f84900]) ).
fof(f84907,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK76,sK77,X0,sK78),sF967)
| ~ r2_hidden(X0,sK79)
| v1_xboole_0(sK77)
| ~ m2_relset_1(sK78,sK76,sK77)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76))) )
| ~ spl972_391 ),
inference(superposition,[],[f84878,f84763]) ).
fof(f84909,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK76,sK77,X0,sK78),sF967)
| ~ r2_hidden(X0,sK79)
| ~ m2_relset_1(sK78,sK76,sK77)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76))) )
| spl972_381
| ~ spl972_391 ),
inference(forward_subsumption_resolution,[],[f84907,f84713]) ).
fof(f84911,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK76,sK77,X0,sK78),sF967)
| ~ r2_hidden(X0,sK79)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76))) )
| spl972_381
| ~ spl972_382
| ~ spl972_391 ),
inference(forward_subsumption_resolution,[],[f84909,f84718]) ).
fof(f84913,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK76,sK77,X0,sK78),sK80)
| ~ r2_hidden(X0,sK79)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76))) )
| spl972_381
| ~ spl972_382
| ~ spl972_385
| ~ spl972_391 ),
inference(forward_demodulation,[],[f84911,f84733]) ).
fof(f84915,plain,
( ! [X0] :
( ~ m1_subset_1(sK79,k1_zfmisc_1(sF970))
| r2_hidden(k8_relset_2(sK76,sK77,X0,sK78),sK80)
| ~ r2_hidden(X0,sK79) )
| spl972_381
| ~ spl972_382
| ~ spl972_385
| ~ spl972_391
| ~ spl972_394 ),
inference(forward_demodulation,[],[f84913,f84778]) ).
fof(f84917,plain,
( ! [X0] :
( ~ m1_subset_1(sK79,sF971)
| r2_hidden(k8_relset_2(sK76,sK77,X0,sK78),sK80)
| ~ r2_hidden(X0,sK79) )
| spl972_381
| ~ spl972_382
| ~ spl972_385
| ~ spl972_391
| ~ spl972_394
| ~ spl972_395 ),
inference(forward_demodulation,[],[f84915,f84783]) ).
fof(f84918,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK76,sK77,X0,sK78),sK80)
| ~ r2_hidden(X0,sK79) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_385
| ~ spl972_391
| ~ spl972_394
| ~ spl972_395 ),
inference(forward_subsumption_resolution,[],[f84917,f84723]) ).
fof(f85021,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sF965)
| r2_hidden(X0,k9_relat_1(sK78,k1_tarski(X1)))
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77)))
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76)) )
| ~ spl972_390 ),
inference(superposition,[],[f76848,f84758]) ).
fof(f85024,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sF965)
| r2_hidden(X0,k9_relat_1(sK78,k1_tarski(X1)))
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76)) )
| ~ spl972_390
| ~ spl972_396 ),
inference(forward_subsumption_resolution,[],[f85021,f84788]) ).
fof(f85025,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF965,sF970)
| ~ r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sF965)
| r2_hidden(X0,k9_relat_1(sK78,k1_tarski(X1))) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396 ),
inference(forward_demodulation,[],[f85024,f84778]) ).
fof(f85026,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK78,k1_tarski(X1)))
| ~ r2_hidden(X1,sF965)
| ~ r2_hidden(X0,sF966) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399 ),
inference(forward_subsumption_resolution,[],[f85025,f84811]) ).
fof(f85130,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK117(X0,sK185(X1,k8_relset_2(X2,X3,X0,X4)),X4),X0)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(sK185(X1,k8_relset_2(X2,X3,X0,X4)),X3)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| r1_tarski(X1,k8_relset_2(X2,X3,X0,X4)) ),
inference(resolution,[],[f76846,f77285]) ).
fof(f85132,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK117(sK116(X0,X2,X3,X4,X5),X1,X4),sK116(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK116(X0,X2,X3,X4,X5),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(superposition,[],[f76846,f76840]) ).
fof(f85133,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK117(sK116(X0,X2,X3,X4,X5),X1,X4),sK116(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK116(X0,X2,X3,X4,X5),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(duplicate_literal_removal,[],[f85132]) ).
fof(f85135,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK117(sK116(X0,X2,X3,X4,X5),X1,X4),sK116(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK116(X0,X2,X3,X4,X5),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(forward_subsumption_resolution,[],[f85133,f78467]) ).
fof(f85180,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(sK117(sK116(X0,X2,X3,X4,X5),X1,X4),sK116(X0,X2,X3,X4,X5))
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(forward_subsumption_resolution,[],[f85135,f76841]) ).
fof(f85218,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK79)
| m1_subset_1(X0,sF970) )
| ~ spl972_383
| ~ spl972_395 ),
inference(resolution,[],[f84869,f84723]) ).
fof(f85226,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF964)
| m1_subset_1(X0,sK77) )
| ~ spl972_392
| ~ spl972_403 ),
inference(resolution,[],[f84867,f84860]) ).
fof(f85227,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF966)
| m1_subset_1(X0,sK77) )
| ~ spl972_392
| ~ spl972_404 ),
inference(resolution,[],[f84867,f84902]) ).
fof(f85229,plain,
( ! [X0] :
( m1_subset_1(sK185(sF966,X0),sK77)
| r1_tarski(sF966,X0) )
| ~ spl972_392
| ~ spl972_404 ),
inference(resolution,[],[f85227,f77284]) ).
fof(f85230,plain,
( ! [X0] :
( r1_tarski(sF966,X0)
| r2_hidden(sK185(sF966,X0),sK77)
| v1_xboole_0(sK77) )
| ~ spl972_392
| ~ spl972_404 ),
inference(resolution,[],[f85229,f76874]) ).
fof(f85231,plain,
( ! [X0] :
( r2_hidden(sK185(sF966,X0),sK77)
| r1_tarski(sF966,X0) )
| spl972_381
| ~ spl972_392
| ~ spl972_404 ),
inference(forward_subsumption_resolution,[],[f85230,f84713]) ).
fof(f85581,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF968))
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X2,k8_setfam_1(sK77,X0))
| ~ r2_hidden(X2,sK77)
| r2_hidden(X2,X1) )
| ~ spl972_392 ),
inference(superposition,[],[f76833,f84768]) ).
fof(f85584,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k8_setfam_1(sK77,X0))
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF969)
| ~ r2_hidden(X2,sK77)
| r2_hidden(X2,X1) )
| ~ spl972_392
| ~ spl972_393 ),
inference(forward_demodulation,[],[f85581,f84773]) ).
fof(f85596,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF964)
| ~ r2_hidden(X1,sK80)
| ~ m1_subset_1(sK80,sF969)
| ~ r2_hidden(X0,sK77)
| r2_hidden(X0,X1) )
| ~ spl972_388
| ~ spl972_392
| ~ spl972_393 ),
inference(superposition,[],[f85584,f84748]) ).
fof(f85599,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK80)
| ~ r2_hidden(X0,sF964)
| ~ r2_hidden(X0,sK77)
| r2_hidden(X0,X1) )
| ~ spl972_384
| ~ spl972_388
| ~ spl972_392
| ~ spl972_393 ),
inference(forward_subsumption_resolution,[],[f85596,f84728]) ).
fof(f85600,plain,
( ! [X0,X1] :
( r2_hidden(X0,k8_relset_2(sK76,sK77,X1,sK78))
| ~ r2_hidden(X0,sK77)
| ~ r2_hidden(X0,sF964)
| ~ r2_hidden(X1,sK79) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395 ),
inference(resolution,[],[f85599,f84918]) ).
fof(f85998,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X0,k8_relset_2(X1,X2,X3,sK78))
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X2)
| ~ r2_hidden(sK117(X3,X0,sK78),sF965)
| ~ r2_hidden(X0,sF966) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399 ),
inference(resolution,[],[f76847,f85026]) ).
fof(f86011,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK116(X0,X2,X3,sK78,X4),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(sK117(sK116(X0,X2,X3,sK78,X4),X1,sK78),sF965)
| ~ r2_hidden(X1,sF966)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK78,X4))
| v1_xboole_0(X3)
| ~ m2_relset_1(sK78,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399 ),
inference(superposition,[],[f85998,f76840]) ).
fof(f86012,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK116(X0,X2,X3,sK78,X4),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(sK117(sK116(X0,X2,X3,sK78,X4),X1,sK78),sF965)
| ~ r2_hidden(X1,sF966)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK78,X4))
| ~ m2_relset_1(sK78,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399 ),
inference(duplicate_literal_removal,[],[f86011]) ).
fof(f86014,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(sK117(sK116(X0,X2,X3,sK78,X4),X1,sK78),sF965)
| ~ r2_hidden(X1,sF966)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK78,X4))
| ~ m2_relset_1(sK78,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399 ),
inference(forward_subsumption_resolution,[],[f86012,f76841]) ).
fof(f86015,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK117(sK116(X0,X2,X3,sK78,X4),X1,sK78),sF965)
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF966)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK78,X4))
| ~ m2_relset_1(sK78,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399 ),
inference(forward_subsumption_resolution,[],[f86014,f78467]) ).
fof(f86355,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK77)
| ~ r2_hidden(X0,sF964)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,k9_relat_1(sK78,k1_tarski(X2)))
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK76)) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395 ),
inference(resolution,[],[f85600,f76848]) ).
fof(f86372,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK77)
| ~ r2_hidden(X0,sF964)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,k9_relat_1(sK78,k1_tarski(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK76)) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396 ),
inference(forward_subsumption_resolution,[],[f86355,f84788]) ).
fof(f86374,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF970)
| ~ r2_hidden(X0,sK77)
| ~ r2_hidden(X0,sF964)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,k9_relat_1(sK78,k1_tarski(X2))) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396 ),
inference(forward_demodulation,[],[f86372,f84778]) ).
fof(f86376,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(sK78,k1_tarski(X2)))
| ~ r2_hidden(X0,sF964)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,sK77) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396 ),
inference(forward_subsumption_resolution,[],[f86374,f85218]) ).
fof(f86379,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,k8_relset_2(X3,X4,X2,sK78))
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(sK117(X2,X0,sK78),X1)
| ~ r2_hidden(X0,sK77)
| ~ r2_hidden(X0,sF964)
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))
| ~ m1_subset_1(X0,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| v1_xboole_0(X4) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396 ),
inference(resolution,[],[f86376,f76847]) ).
fof(f86398,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(sK117(sF965,X0,sK78),X1)
| ~ r2_hidden(X0,sK77)
| ~ r2_hidden(X0,sF964)
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77)))
| ~ m1_subset_1(X0,sK77)
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76))
| v1_xboole_0(sK77) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396 ),
inference(superposition,[],[f86379,f84758]) ).
fof(f86403,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(sK117(sF965,X0,sK78),X1)
| ~ r2_hidden(X0,sF964)
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77)))
| ~ m1_subset_1(X0,sK77)
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76))
| v1_xboole_0(sK77) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396 ),
inference(forward_subsumption_resolution,[],[f86398,f76874]) ).
fof(f86405,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(sK117(sF965,X0,sK78),X1)
| ~ r2_hidden(X0,sF964)
| ~ m1_subset_1(X0,sK77)
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76))
| v1_xboole_0(sK77) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396 ),
inference(forward_subsumption_resolution,[],[f86403,f84788]) ).
fof(f86406,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(sK117(sF965,X0,sK78),X1)
| ~ r2_hidden(X0,sF964)
| ~ m1_subset_1(X0,sK77)
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76)) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396 ),
inference(forward_subsumption_resolution,[],[f86405,f84713]) ).
fof(f86407,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(sK117(sF965,X0,sK78),X1)
| ~ r2_hidden(X0,sF964)
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76)) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_403 ),
inference(forward_subsumption_resolution,[],[f86406,f85226]) ).
fof(f86448,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF965,sF970)
| r2_hidden(X0,sF966)
| ~ r2_hidden(X1,sK79)
| ~ r2_hidden(sK117(sF965,X0,sK78),X1)
| ~ r2_hidden(X0,sF964) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_403 ),
inference(forward_demodulation,[],[f86407,f84778]) ).
fof(f86449,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK117(sF965,X0,sK78),X1)
| ~ r2_hidden(X1,sK79)
| r2_hidden(X0,sF966)
| ~ r2_hidden(X0,sF964) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_403 ),
inference(forward_subsumption_resolution,[],[f86448,f84811]) ).
fof(f86847,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK79)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,sF965) )
| ~ spl972_401 ),
inference(superposition,[],[f82405,f84833]) ).
fof(f86853,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,sK116(X1,X2,X3,X4,sK79))
| r2_hidden(X0,sF965)
| ~ r2_hidden(X1,a_4_2_relset_2(X2,X3,X4,sK79))
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl972_401 ),
inference(resolution,[],[f86847,f76839]) ).
fof(f86878,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(sK117(sK116(X0,X1,X2,X3,sK79),X4,X3),sF965)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK79))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X4,X0)
| ~ m1_subset_1(X4,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK79))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(X1))) )
| ~ spl972_401 ),
inference(resolution,[],[f86853,f85180]) ).
fof(f86886,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(sK117(sK116(X0,X1,X2,X3,sK79),X4,X3),sF965)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK79))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X4,X0)
| ~ m1_subset_1(X4,X2) )
| ~ spl972_401 ),
inference(duplicate_literal_removal,[],[f86878]) ).
fof(f86887,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,sK78,sK79))
| v1_xboole_0(X2)
| ~ m2_relset_1(sK78,X1,X2)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X3,X0)
| ~ m1_subset_1(X3,X2)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X2)
| r2_hidden(X3,X0)
| ~ r2_hidden(X3,sF966)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,sK78,sK79))
| ~ m2_relset_1(sK78,X1,X2)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(X1))) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401 ),
inference(resolution,[],[f86886,f86015]) ).
fof(f86893,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,sK78,sK79))
| v1_xboole_0(X2)
| ~ m2_relset_1(sK78,X1,X2)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X3,X0)
| ~ m1_subset_1(X3,X2)
| ~ r2_hidden(X3,sF966) )
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401 ),
inference(duplicate_literal_removal,[],[f86887]) ).
fof(f86911,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF967)
| v1_xboole_0(sK77)
| ~ m2_relset_1(sK78,sK76,sK77)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,sK77)
| ~ r2_hidden(X1,sF966) )
| ~ spl972_390
| ~ spl972_391
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401 ),
inference(superposition,[],[f86893,f84763]) ).
fof(f86913,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF967)
| v1_xboole_0(sK77)
| ~ m2_relset_1(sK78,sK76,sK77)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF966) )
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_subsumption_resolution,[],[f86911,f85227]) ).
fof(f86914,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF967)
| ~ m2_relset_1(sK78,sK76,sK77)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF966) )
| spl972_381
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_subsumption_resolution,[],[f86913,f84713]) ).
fof(f86915,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF967)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF966) )
| spl972_381
| ~ spl972_382
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_subsumption_resolution,[],[f86914,f84718]) ).
fof(f86916,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK80)
| ~ m1_subset_1(sK79,k1_zfmisc_1(k1_zfmisc_1(sK76)))
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF966) )
| spl972_381
| ~ spl972_382
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_demodulation,[],[f86915,f84733]) ).
fof(f86917,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK79,k1_zfmisc_1(sF970))
| ~ r2_hidden(X0,sK80)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF966) )
| spl972_381
| ~ spl972_382
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_demodulation,[],[f86916,f84778]) ).
fof(f86918,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK79,sF971)
| ~ r2_hidden(X0,sK80)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF966) )
| spl972_381
| ~ spl972_382
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_demodulation,[],[f86917,f84783]) ).
fof(f86919,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sF966)
| r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK80) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_subsumption_resolution,[],[f86918,f84723]) ).
fof(f86926,plain,
( ! [X0,X1] :
( r2_hidden(sK185(sF966,X0),X1)
| ~ r2_hidden(X1,sK80)
| r1_tarski(sF966,X0) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(resolution,[],[f86919,f77284]) ).
fof(f87645,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF968))
| ~ r2_hidden(X1,sK114(X1,X0))
| ~ r2_hidden(X1,sK77)
| r2_hidden(X1,k8_setfam_1(sK77,X0)) )
| ~ spl972_392 ),
inference(superposition,[],[f76835,f84768]) ).
fof(f87648,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK114(X1,X0))
| ~ m1_subset_1(X0,sF969)
| ~ r2_hidden(X1,sK77)
| r2_hidden(X1,k8_setfam_1(sK77,X0)) )
| ~ spl972_392
| ~ spl972_393 ),
inference(forward_demodulation,[],[f87645,f84773]) ).
fof(f87658,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF969)
| ~ r2_hidden(sK185(sF966,X1),sK77)
| r2_hidden(sK185(sF966,X1),k8_setfam_1(sK77,X0))
| ~ r2_hidden(sK114(sK185(sF966,X1),X0),sK80)
| r1_tarski(sF966,X1) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(resolution,[],[f87648,f86926]) ).
fof(f87659,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK114(sK185(sF966,X1),X0),sK80)
| r2_hidden(sK185(sF966,X1),k8_setfam_1(sK77,X0))
| ~ m1_subset_1(X0,sF969)
| r1_tarski(sF966,X1) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_subsumption_resolution,[],[f87658,f85231]) ).
fof(f88358,definition,
( spl972_617
<=> r1_tarski(sF964,sF966) ),
introduced(definition,[new_symbols(definition,[spl972_617])],[avatar_definition]) ).
fof(f88360,plain,
( r1_tarski(sF964,sF966)
| ~ spl972_617 ),
inference(avatar_component_clause,[],[f88358]) ).
fof(f88470,plain,
( ! [X0] :
( r2_hidden(sK117(sF965,sK185(X0,sF966),sK78),sF965)
| ~ m1_subset_1(sK78,k1_zfmisc_1(k2_zfmisc_1(sK76,sK77)))
| ~ m1_subset_1(sK185(X0,sF966),sK77)
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76))
| v1_xboole_0(sK77)
| r1_tarski(X0,sF966) )
| ~ spl972_390 ),
inference(superposition,[],[f85130,f84758]) ).
fof(f88484,plain,
( ! [X0] :
( r2_hidden(sK117(sF965,sK185(X0,sF966),sK78),sF965)
| ~ m1_subset_1(sK185(X0,sF966),sK77)
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76))
| v1_xboole_0(sK77)
| r1_tarski(X0,sF966) )
| ~ spl972_390
| ~ spl972_396 ),
inference(forward_subsumption_resolution,[],[f88470,f84788]) ).
fof(f88488,plain,
( ! [X0] :
( r2_hidden(sK117(sF965,sK185(X0,sF966),sK78),sF965)
| ~ m1_subset_1(sK185(X0,sF966),sK77)
| ~ m1_subset_1(sF965,k1_zfmisc_1(sK76))
| r1_tarski(X0,sF966) )
| spl972_381
| ~ spl972_390
| ~ spl972_396 ),
inference(forward_subsumption_resolution,[],[f88484,f84713]) ).
fof(f88491,plain,
( ! [X0] :
( ~ m1_subset_1(sF965,sF970)
| r2_hidden(sK117(sF965,sK185(X0,sF966),sK78),sF965)
| ~ m1_subset_1(sK185(X0,sF966),sK77)
| r1_tarski(X0,sF966) )
| spl972_381
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396 ),
inference(forward_demodulation,[],[f88488,f84778]) ).
fof(f88492,plain,
( ! [X0] :
( r2_hidden(sK117(sF965,sK185(X0,sF966),sK78),sF965)
| ~ m1_subset_1(sK185(X0,sF966),sK77)
| r1_tarski(X0,sF966) )
| spl972_381
| ~ spl972_390
| ~ spl972_394
| ~ spl972_396
| ~ spl972_399 ),
inference(forward_subsumption_resolution,[],[f88491,f84811]) ).
fof(f88995,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK165(X1,sK117(sF965,X0,sK78)),sK79)
| ~ r2_hidden(sK117(sF965,X0,sK78),k3_tarski(X1))
| r2_hidden(X0,sF966)
| ~ r2_hidden(X0,sF964) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_403 ),
inference(resolution,[],[f82406,f86449]) ).
fof(f88997,plain,
( ! [X0] :
( ~ r2_hidden(sK117(sF965,X0,sK78),k3_tarski(sK79))
| r2_hidden(X0,sF966)
| ~ r2_hidden(X0,sF964)
| ~ r2_hidden(sK117(sF965,X0,sK78),k3_tarski(sK79)) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_403 ),
inference(resolution,[],[f88995,f82407]) ).
fof(f89000,plain,
( ! [X0] :
( ~ r2_hidden(sK117(sF965,X0,sK78),k3_tarski(sK79))
| r2_hidden(X0,sF966)
| ~ r2_hidden(X0,sF964) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_403 ),
inference(duplicate_literal_removal,[],[f88997]) ).
fof(f89005,plain,
( ! [X0] :
( ~ r2_hidden(sK117(sF965,X0,sK78),sF965)
| r2_hidden(X0,sF966)
| ~ r2_hidden(X0,sF964) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_403 ),
inference(forward_demodulation,[],[f89000,f84833]) ).
fof(f89007,plain,
( ! [X0] :
( r2_hidden(sK185(X0,sF966),sF966)
| ~ r2_hidden(sK185(X0,sF966),sF964)
| ~ m1_subset_1(sK185(X0,sF966),sK77)
| r1_tarski(X0,sF966) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_403 ),
inference(resolution,[],[f89005,f88492]) ).
fof(f89010,plain,
( ! [X0] :
( ~ r2_hidden(sK185(X0,sF966),sF964)
| ~ m1_subset_1(sK185(X0,sF966),sK77)
| r1_tarski(X0,sF966) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_403 ),
inference(forward_subsumption_resolution,[],[f89007,f77285]) ).
fof(f89012,plain,
( ! [X0] :
( ~ r2_hidden(sK185(X0,sF966),sF964)
| r1_tarski(X0,sF966) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_403 ),
inference(forward_subsumption_resolution,[],[f89010,f85226]) ).
fof(f89017,plain,
( r1_tarski(sF964,sF966)
| r1_tarski(sF964,sF966)
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_403 ),
inference(resolution,[],[f89012,f77284]) ).
fof(f89020,plain,
( r1_tarski(sF964,sF966)
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_403 ),
inference(duplicate_literal_removal,[],[f89017]) ).
fof(f89021,plain,
( spl972_617
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_403 ),
inference(avatar_split_clause,[],[f89020,f84858,f84831,f84810,f84787,f84781,f84776,f84771,f84766,f84761,f84756,f84746,f84731,f84726,f84721,f84716,f84711,f88358]) ).
fof(f89053,plain,
( ~ r1_tarski(sF966,sF964)
| sF964 = sF966
| ~ spl972_617 ),
inference(resolution,[],[f88360,f77281]) ).
fof(f89054,plain,
( ~ r1_tarski(sF966,sF964)
| spl972_386
| ~ spl972_617 ),
inference(forward_subsumption_resolution,[],[f89053,f84738]) ).
fof(f89056,definition,
( spl972_638
<=> r1_tarski(sF966,sF964) ),
introduced(definition,[new_symbols(definition,[spl972_638])],[avatar_definition]) ).
fof(f89058,plain,
( ~ r1_tarski(sF966,sF964)
| spl972_638 ),
inference(avatar_component_clause,[],[f89056]) ).
fof(f89059,plain,
( ~ spl972_638
| spl972_386
| ~ spl972_617 ),
inference(avatar_split_clause,[],[f89054,f88358,f84736,f89056]) ).
fof(f90612,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF968))
| r2_hidden(sK114(X1,X0),X0)
| ~ r2_hidden(X1,sK77)
| r2_hidden(X1,k8_setfam_1(sK77,X0)) )
| ~ spl972_392 ),
inference(superposition,[],[f76834,f84768]) ).
fof(f90615,plain,
( ! [X0,X1] :
( r2_hidden(sK114(X1,X0),X0)
| ~ m1_subset_1(X0,sF969)
| ~ r2_hidden(X1,sK77)
| r2_hidden(X1,k8_setfam_1(sK77,X0)) )
| ~ spl972_392
| ~ spl972_393 ),
inference(forward_demodulation,[],[f90612,f84773]) ).
fof(f90762,plain,
( ! [X0] :
( ~ m1_subset_1(sK80,sF969)
| ~ r2_hidden(sK185(sF966,X0),sK77)
| r2_hidden(sK185(sF966,X0),k8_setfam_1(sK77,sK80))
| r2_hidden(sK185(sF966,X0),k8_setfam_1(sK77,sK80))
| ~ m1_subset_1(sK80,sF969)
| r1_tarski(sF966,X0) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(resolution,[],[f90615,f87659]) ).
fof(f90807,plain,
( ! [X0] :
( ~ m1_subset_1(sK80,sF969)
| ~ r2_hidden(sK185(sF966,X0),sK77)
| r2_hidden(sK185(sF966,X0),k8_setfam_1(sK77,sK80))
| r1_tarski(sF966,X0) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(duplicate_literal_removal,[],[f90762]) ).
fof(f90873,plain,
( ! [X0] :
( ~ r2_hidden(sK185(sF966,X0),sK77)
| r2_hidden(sK185(sF966,X0),k8_setfam_1(sK77,sK80))
| r1_tarski(sF966,X0) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_subsumption_resolution,[],[f90807,f84728]) ).
fof(f90882,plain,
( ! [X0] :
( r2_hidden(sK185(sF966,X0),k8_setfam_1(sK77,sK80))
| r1_tarski(sF966,X0) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_subsumption_resolution,[],[f90873,f85231]) ).
fof(f90887,plain,
( ! [X0] :
( r2_hidden(sK185(sF966,X0),sF964)
| r1_tarski(sF966,X0) )
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(forward_demodulation,[],[f90882,f84748]) ).
fof(f90896,plain,
( r1_tarski(sF966,sF964)
| r1_tarski(sF966,sF964)
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(resolution,[],[f90887,f77285]) ).
fof(f90901,plain,
( r1_tarski(sF966,sF964)
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404 ),
inference(duplicate_literal_removal,[],[f90896]) ).
fof(f90908,plain,
( $false
| spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404
| spl972_638 ),
inference(forward_subsumption_resolution,[],[f90901,f89058]) ).
fof(f90909,plain,
( spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404
| spl972_638 ),
inference(avatar_contradiction_clause,[],[f90908]) ).
cnf(s387,plain,
~ spl972_381,
inference(sat_conversion,[],[f84714]) ).
cnf(s388,plain,
spl972_382,
inference(sat_conversion,[],[f84719]) ).
cnf(s389,plain,
spl972_383,
inference(sat_conversion,[],[f84724]) ).
cnf(s390,plain,
spl972_384,
inference(sat_conversion,[],[f84729]) ).
cnf(s391,plain,
spl972_385,
inference(sat_conversion,[],[f84734]) ).
cnf(s392,plain,
~ spl972_386,
inference(sat_conversion,[],[f84739]) ).
cnf(s394,plain,
spl972_388,
inference(sat_conversion,[],[f84749]) ).
cnf(s395,plain,
spl972_389,
inference(sat_conversion,[],[f84754]) ).
cnf(s396,plain,
spl972_390,
inference(sat_conversion,[],[f84759]) ).
cnf(s397,plain,
spl972_391,
inference(sat_conversion,[],[f84764]) ).
cnf(s398,plain,
spl972_392,
inference(sat_conversion,[],[f84769]) ).
cnf(s399,plain,
spl972_393,
inference(sat_conversion,[],[f84774]) ).
cnf(s400,plain,
spl972_394,
inference(sat_conversion,[],[f84779]) ).
cnf(s401,plain,
spl972_395,
inference(sat_conversion,[],[f84784]) ).
cnf(s402,plain,
( ~ spl972_390
| ~ spl972_396
| ~ spl972_397
| spl972_398 ),
inference(sat_conversion,[],[f84798]) ).
cnf(s403,plain,
( ~ spl972_382
| spl972_396 ),
inference(sat_conversion,[],[f84807]) ).
cnf(s404,plain,
( ~ spl972_394
| spl972_397
| ~ spl972_399 ),
inference(sat_conversion,[],[f84813]) ).
cnf(s406,plain,
( ~ spl972_383
| ~ spl972_389
| ~ spl972_394
| ~ spl972_395
| spl972_401 ),
inference(sat_conversion,[],[f84834]) ).
cnf(s410,plain,
( ~ spl972_384
| ~ spl972_388
| ~ spl972_392
| ~ spl972_393
| spl972_403 ),
inference(sat_conversion,[],[f84861]) ).
cnf(s411,plain,
( ~ spl972_383
| ~ spl972_389
| ~ spl972_394
| ~ spl972_395
| spl972_399 ),
inference(sat_conversion,[],[f84895]) ).
cnf(s413,plain,
( ~ spl972_392
| ~ spl972_398
| spl972_404 ),
inference(sat_conversion,[],[f84903]) ).
cnf(s652,plain,
( spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_403
| spl972_617 ),
inference(sat_conversion,[],[f89021]) ).
cnf(s656,plain,
( spl972_386
| ~ spl972_617
| ~ spl972_638 ),
inference(sat_conversion,[],[f89059]) ).
cnf(s854,plain,
( spl972_381
| ~ spl972_382
| ~ spl972_383
| ~ spl972_384
| ~ spl972_385
| ~ spl972_388
| ~ spl972_390
| ~ spl972_391
| ~ spl972_392
| ~ spl972_393
| ~ spl972_394
| ~ spl972_395
| ~ spl972_396
| ~ spl972_399
| ~ spl972_401
| ~ spl972_404
| spl972_638 ),
inference(sat_conversion,[],[f90909]) ).
cnf(s897,plain,
spl972_403,
inference(rat,[],[s410,s394,s399,s398,s390]) ).
cnf(s900,plain,
spl972_399,
inference(rat,[],[s411,s395,s401,s400,s389]) ).
cnf(s901,plain,
spl972_401,
inference(rat,[],[s406,s395,s401,s400,s389]) ).
cnf(s903,plain,
spl972_397,
inference(rat,[],[s404,s400,s900]) ).
cnf(s908,plain,
spl972_396,
inference(rat,[],[s403,s388]) ).
cnf(s910,plain,
spl972_398,
inference(rat,[],[s402,s903,s396,s908]) ).
cnf(s911,plain,
spl972_404,
inference(rat,[],[s413,s398,s910]) ).
cnf(s913,plain,
spl972_638,
inference(rat,[],[s854,s911,s908,s901,s900,s388,s401,s400,s399,s398,s397,s396,s394,s391,s390,s389,s387]) ).
cnf(s916,plain,
spl972_617,
inference(rat,[],[s652,s908,s897,s901,s900,s388,s401,s400,s399,s398,s397,s396,s394,s391,s390,s389,s387]) ).
cnf(s923,plain,
$false,
inference(rat,[],[s656,s392,s913,s916]) ).
fof(f90910,plain,
$false,
inference(avatar_sat_refutation,[],[s923]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU431+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 05:28:57 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.08/8.69 % (3500689)Detected formulas, will run a generic FOF schedule.
% 21.08/8.69 % (3500694)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=3176193863:i=141193_2944 on theBenchmark for (2944ds/141193Mi)
% 21.08/8.69 % (3500697)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=213703107:i=109:sd=1:ins=1:gsp=on:ss=axioms_2944 on theBenchmark for (2944ds/109Mi)
% 21.08/8.69 % (3500695)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=3639914951:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2944 on theBenchmark for (2944ds/134677Mi)
% 21.08/8.69 % (3500696)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=1893761940:i=141695:sd=1:nm=32:gsp=on:ss=included_2944 on theBenchmark for (2944ds/141695Mi)
% 21.08/8.69 % (3500699)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2063476922:s2a=on:i=139:gtg=position_2944 on theBenchmark for (2944ds/139Mi)
% 21.08/8.69 % (3500698)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1001153292:i=119:av=off:ss=axioms_2944 on theBenchmark for (2944ds/119Mi)
% 21.08/8.69 % (3500700)dis-21_1_sil=8000:lcm=predicate:random_seed=2274348097:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2944 on theBenchmark for (2944ds/129Mi)
% 21.08/8.69 % (3500697)Instruction limit reached!
% 21.08/8.69 % (3500697)------------------------------
% 21.08/8.69 % (3500697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.08/8.69 % (3500697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/8.69 % (3500697)CaDiCaL version: 2.1.3
% 21.08/8.69 % (3500697)Termination reason: Instruction limit
% 21.08/8.69 % (3500697)Termination phase: SInE selection
% 21.08/8.69 % (3500697)Time elapsed: 0.086 s
% 21.08/8.69 % (3500697)Peak memory usage: 201 MB
% 21.08/8.69 % (3500697)Instructions burned: 110 (million)
% 21.08/8.69 % (3500699)Instruction limit reached!
% 21.08/8.69 % (3500699)------------------------------
% 21.08/8.69 % (3500699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.08/8.69 % (3500699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/8.69 % (3500699)CaDiCaL version: 2.1.3
% 21.08/8.69 % (3500699)Termination reason: Instruction limit
% 21.08/8.69 % (3500699)Termination phase: Property scanning
% 21.08/8.69 % (3500699)Time elapsed: 0.068 s
% 21.08/8.69 % (3500699)Peak memory usage: 201 MB
% 21.08/8.69 % (3500699)Instructions burned: 141 (million)
% 21.08/8.69 % (3500698)Instruction limit reached!
% 21.08/8.69 % (3500698)------------------------------
% 21.08/8.69 % (3500698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.08/8.69 % (3500698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/8.69 % (3500698)CaDiCaL version: 2.1.3
% 21.08/8.69 % (3500698)Termination reason: Instruction limit
% 21.08/8.69 % (3500698)Termination phase: SInE selection
% 21.08/8.69 % (3500698)Time elapsed: 0.096 s
% 21.08/8.69 % (3500698)Peak memory usage: 201 MB
% 21.08/8.69 % (3500698)Instructions burned: 120 (million)
% 21.08/8.69 % (3500700)Instruction limit reached!
% 21.08/8.69 % (3500700)------------------------------
% 21.08/8.69 % (3500700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.08/8.69 % (3500700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.08/8.69 % (3500700)CaDiCaL version: 2.1.3
% 21.08/8.69 % (3500700)Termination reason: Instruction limit
% 21.08/8.69 % (3500700)Termination phase: SInE selection
% 21.08/8.69 % (3500700)Time elapsed: 0.100 s
% 21.08/8.69 % (3500700)Peak memory usage: 201 MB
% 21.08/8.69 % (3500700)Instructions burned: 129 (million)
% 21.08/8.69 % (3500708)lrs+10_1_sil=8000:sp=occurrence:random_seed=1267051514:i=285:sd=3:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/285Mi)
% 21.08/8.69 % (3500709)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2567509569:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/157Mi)
% 21.08/8.69 % (3500710)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3888014512:i=325:sd=1:ss=axioms:sgt=32_2941 on theBenchmark for (2941ds/325Mi)
% 21.08/8.69 % (3500711)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=2143461657:s2a=on:i=248:s2at=1.23:gtg=position_2941 on theBenchmark for (2941ds/248Mi)
% 21.08/8.69 % (3500709)Instruction limit reached!
% 28.13/9.66 % (3500709)------------------------------
% 28.13/9.66 % (3500709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/9.66 % (3500709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/9.66 % (3500709)CaDiCaL version: 2.1.3
% 28.13/9.66 % (3500709)Termination reason: Instruction limit
% 28.13/9.66 % (3500709)Termination phase: Property scanning
% 28.13/9.66 % (3500709)Time elapsed: 0.075 s
% 28.13/9.66 % (3500709)Peak memory usage: 201 MB
% 28.13/9.66 % (3500709)Instructions burned: 159 (million)
% 28.13/9.66 % (3500711)Instruction limit reached!
% 28.13/9.66 % (3500711)------------------------------
% 28.13/9.66 % (3500711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/9.66 % (3500711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/9.66 % (3500711)CaDiCaL version: 2.1.3
% 28.13/9.66 % (3500711)Termination reason: Instruction limit
% 28.13/9.66 % (3500711)Termination phase: Property scanning
% 28.13/9.66 % (3500711)Time elapsed: 0.115 s
% 28.13/9.66 % (3500711)Peak memory usage: 201 MB
% 28.13/9.66 % (3500711)Instructions burned: 249 (million)
% 28.13/9.66 % (3500708)Instruction limit reached!
% 28.13/9.66 % (3500708)------------------------------
% 28.13/9.66 % (3500708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/9.66 % (3500708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/9.66 % (3500708)CaDiCaL version: 2.1.3
% 28.13/9.66 % (3500708)Termination reason: Instruction limit
% 28.13/9.66 % (3500708)Termination phase: SInE selection
% 28.13/9.66 % (3500708)Time elapsed: 0.216 s
% 28.13/9.66 % (3500708)Peak memory usage: 201 MB
% 28.13/9.66 % (3500708)Instructions burned: 285 (million)
% 28.13/9.66 % (3500716)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2033067730:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2940 on theBenchmark for (2940ds/294Mi)
% 28.13/9.66 % (3500710)Instruction limit reached!
% 28.13/9.66 % (3500710)------------------------------
% 28.13/9.66 % (3500710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/9.66 % (3500710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/9.66 % (3500710)CaDiCaL version: 2.1.3
% 28.13/9.66 % (3500710)Termination reason: Instruction limit
% 28.13/9.66 % (3500710)Termination phase: SInE selection
% 28.13/9.66 % (3500710)Time elapsed: 0.251 s
% 28.13/9.66 % (3500710)Peak memory usage: 201 MB
% 28.13/9.66 % (3500710)Instructions burned: 325 (million)
% 28.13/9.66 % (3500717)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2344400353:i=2350_2939 on theBenchmark for (2939ds/2350Mi)
% 28.13/9.66 % (3500719)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1096581861:cts=off:i=113:fsr=off:ss=included:sgt=4_2938 on theBenchmark for (2938ds/113Mi)
% 28.13/9.66 % (3500716)Instruction limit reached!
% 28.13/9.66 % (3500716)------------------------------
% 28.13/9.66 % (3500716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/9.66 % (3500716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/9.66 % (3500716)CaDiCaL version: 2.1.3
% 28.13/9.66 % (3500716)Termination reason: Instruction limit
% 28.13/9.66 % (3500716)Termination phase: SInE selection
% 28.13/9.66 % (3500716)Time elapsed: 0.220 s
% 28.13/9.66 % (3500716)Peak memory usage: 201 MB
% 28.13/9.66 % (3500716)Instructions burned: 295 (million)
% 28.13/9.66 % (3500720)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1727954053:i=127:av=off:fsr=off:sup=off_2937 on theBenchmark for (2937ds/127Mi)
% 28.13/9.66 % (3500719)Instruction limit reached!
% 28.13/9.66 % (3500719)------------------------------
% 28.13/9.66 % (3500719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/9.66 % (3500719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/9.66 % (3500719)CaDiCaL version: 2.1.3
% 28.13/9.66 % (3500719)Termination reason: Instruction limit
% 28.13/9.66 % (3500719)Termination phase: SInE selection
% 28.13/9.66 % (3500719)Time elapsed: 0.092 s
% 28.13/9.66 % (3500719)Peak memory usage: 201 MB
% 28.13/9.66 % (3500719)Instructions burned: 114 (million)
% 28.13/9.66 % (3500720)Instruction limit reached!
% 28.13/9.66 % (3500720)------------------------------
% 28.13/9.66 % (3500720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.13/9.66 % (3500720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.13/9.66 % (3500720)CaDiCaL version: 2.1.3
% 73.46/15.91 % (3500720)Termination reason: Instruction limit
% 73.46/15.91 % (3500720)Termination phase: Preprocessing 1
% 73.46/15.91 % (3500720)Time elapsed: 0.102 s
% 73.46/15.91 % (3500720)Peak memory usage: 202 MB
% 73.46/15.91 % (3500720)Instructions burned: 128 (million)
% 73.46/15.91 % (3500724)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3328194313:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2936 on theBenchmark for (2936ds/114Mi)
% 73.46/15.91 % (3500725)lrs+10_1_sil=8000:sp=occurrence:random_seed=459972275:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2936 on theBenchmark for (2936ds/907Mi)
% 73.46/15.91 % (3500724)Instruction limit reached!
% 73.46/15.91 % (3500724)------------------------------
% 73.46/15.91 % (3500724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.46/15.91 % (3500724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.46/15.91 % (3500724)CaDiCaL version: 2.1.3
% 73.46/15.91 % (3500724)Termination reason: Instruction limit
% 73.46/15.91 % (3500724)Termination phase: Property scanning
% 73.46/15.91 % (3500724)Time elapsed: 0.058 s
% 73.46/15.91 % (3500724)Peak memory usage: 201 MB
% 73.46/15.91 % (3500724)Instructions burned: 116 (million)
% 73.46/15.91 % (3500726)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=222123724:i=437:sd=1:aac=none:ss=included_2935 on theBenchmark for (2935ds/437Mi)
% 73.46/15.91 % (3500729)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=402038280:i=5202:ss=axioms:sgt=16_2934 on theBenchmark for (2934ds/5202Mi)
% 73.46/15.91 % (3500726)Instruction limit reached!
% 73.46/15.91 % (3500726)------------------------------
% 73.46/15.91 % (3500726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.46/15.91 % (3500726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.46/15.91 % (3500726)CaDiCaL version: 2.1.3
% 73.46/15.91 % (3500726)Termination reason: Instruction limit
% 73.46/15.91 % (3500726)Termination phase: SInE selection
% 73.46/15.91 % (3500726)Time elapsed: 0.333 s
% 73.46/15.91 % (3500726)Peak memory usage: 202 MB
% 73.46/15.91 % (3500726)Instructions burned: 438 (million)
% 73.46/15.91 % (3500733)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=613631065:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2930 on theBenchmark for (2930ds/134Mi)
% 73.46/15.91 % (3500733)Instruction limit reached!
% 73.46/15.91 % (3500733)------------------------------
% 73.46/15.91 % (3500733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.46/15.91 % (3500733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.46/15.91 % (3500733)CaDiCaL version: 2.1.3
% 73.46/15.91 % (3500733)Termination reason: Instruction limit
% 73.46/15.91 % (3500733)Termination phase: SInE selection
% 73.46/15.91 % (3500733)Time elapsed: 0.102 s
% 73.46/15.91 % (3500733)Peak memory usage: 201 MB
% 73.46/15.91 % (3500733)Instructions burned: 134 (million)
% 73.46/15.91 % (3500725)Instruction limit reached!
% 73.46/15.91 % (3500725)------------------------------
% 73.46/15.91 % (3500725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.46/15.91 % (3500725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.46/15.91 % (3500725)CaDiCaL version: 2.1.3
% 73.46/15.91 % (3500725)Termination reason: Instruction limit
% 73.46/15.91 % (3500725)Termination phase: Preprocessing 1
% 73.46/15.91 % (3500725)Time elapsed: 0.676 s
% 73.46/15.91 % (3500725)Peak memory usage: 204 MB
% 73.46/15.92 % (3500725)Instructions burned: 908 (million)
% 73.46/15.92 % (3500735)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2378829583:st=8:i=592:sd=3:ep=RST:ss=axioms_2928 on theBenchmark for (2928ds/592Mi)
% 73.46/15.92 % (3500736)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2540344180:st=3:i=13193:sd=3:ss=axioms_2927 on theBenchmark for (2927ds/13193Mi)
% 73.46/15.92 % (3500735)Instruction limit reached!
% 73.46/15.92 % (3500735)------------------------------
% 73.46/15.92 % (3500735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.46/15.92 % (3500735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.46/15.92 % (3500735)CaDiCaL version: 2.1.3
% 73.46/15.92 % (3500735)Termination reason: Instruction limit
% 73.46/15.92 % (3500735)Termination phase: SInE selection
% 73.46/15.92 % (3500735)Time elapsed: 0.384 s
% 73.46/15.92 % (3500735)Peak memory usage: 203 MB
% 73.46/15.92 % (3500735)Instructions burned: 592 (million)
% 73.46/15.92 % (3500739)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=1014323646:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2922 on theBenchmark for (2922ds/125Mi)
% 95.70/19.09 % (3500739)Instruction limit reached!
% 95.70/19.09 % (3500739)------------------------------
% 95.70/19.09 % (3500739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.70/19.09 % (3500739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.70/19.09 % (3500739)CaDiCaL version: 2.1.3
% 95.70/19.09 % (3500739)Termination reason: Instruction limit
% 95.70/19.09 % (3500739)Termination phase: Property scanning
% 95.70/19.09 % (3500739)Time elapsed: 0.061 s
% 95.70/19.09 % (3500739)Peak memory usage: 201 MB
% 95.70/19.09 % (3500739)Instructions burned: 126 (million)
% 95.70/19.09 % (3500741)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=89087935:i=134:gtgl=5:slsql=off:gtg=exists_sym_2920 on theBenchmark for (2920ds/134Mi)
% 95.70/19.09 % (3500717)Instruction limit reached!
% 95.70/19.09 % (3500717)------------------------------
% 95.70/19.09 % (3500717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.70/19.09 % (3500717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.70/19.09 % (3500717)CaDiCaL version: 2.1.3
% 95.70/19.09 % (3500717)Termination reason: Instruction limit
% 95.70/19.09 % (3500717)Termination phase: Preprocessing 3
% 95.70/19.09 % (3500717)Time elapsed: 1.846 s
% 95.70/19.09 % (3500717)Peak memory usage: 305 MB
% 95.70/19.09 % (3500717)Instructions burned: 2350 (million)
% 95.70/19.09 % (3500741)Instruction limit reached!
% 95.70/19.09 % (3500741)------------------------------
% 95.70/19.09 % (3500741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.70/19.09 % (3500741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.70/19.09 % (3500741)CaDiCaL version: 2.1.3
% 95.70/19.09 % (3500741)Termination reason: Instruction limit
% 95.70/19.09 % (3500741)Termination phase: Property scanning
% 95.70/19.09 % (3500741)Time elapsed: 0.065 s
% 95.70/19.09 % (3500741)Peak memory usage: 201 MB
% 95.70/19.09 % (3500741)Instructions burned: 136 (million)
% 95.70/19.09 % (3500744)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=414080344:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2918 on theBenchmark for (2918ds/431Mi)
% 95.70/19.09 % (3500743)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3732105573:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2918 on theBenchmark for (2918ds/141Mi)
% 95.70/19.09 % (3500743)Instruction limit reached!
% 95.70/19.09 % (3500743)------------------------------
% 95.70/19.09 % (3500743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.70/19.09 % (3500743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.70/19.09 % (3500743)CaDiCaL version: 2.1.3
% 95.70/19.09 % (3500743)Termination reason: Instruction limit
% 95.70/19.09 % (3500743)Termination phase: SInE selection
% 95.70/19.09 % (3500743)Time elapsed: 0.105 s
% 95.70/19.09 % (3500743)Peak memory usage: 201 MB
% 95.70/19.09 % (3500743)Instructions burned: 142 (million)
% 95.70/19.09 % (3500747)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=185715605:i=6060:aac=none:ins=25_2916 on theBenchmark for (2916ds/6060Mi)
% 95.70/19.09 % (3500744)Instruction limit reached!
% 95.70/19.09 % (3500744)------------------------------
% 95.70/19.09 % (3500744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.70/19.09 % (3500744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.70/19.09 % (3500744)CaDiCaL version: 2.1.3
% 95.70/19.09 % (3500744)Termination reason: Instruction limit
% 95.70/19.09 % (3500744)Termination phase: SInE selection
% 95.70/19.09 % (3500744)Time elapsed: 0.312 s
% 95.70/19.09 % (3500744)Peak memory usage: 202 MB
% 95.70/19.09 % (3500744)Instructions burned: 432 (million)
% 95.70/19.09 % (3500749)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=2481018525:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2914 on theBenchmark for (2914ds/150Mi)
% 95.70/19.09 % (3500749)Instruction limit reached!
% 95.70/19.09 % (3500749)------------------------------
% 95.70/19.09 % (3500749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.70/19.09 % (3500749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.70/19.09 % (3500749)CaDiCaL version: 2.1.3
% 95.70/19.09 % (3500749)Termination reason: Instruction limit
% 134.38/24.50 % (3500749)Termination phase: SInE selection
% 134.38/24.50 % (3500749)Time elapsed: 0.116 s
% 134.38/24.50 % (3500749)Peak memory usage: 201 MB
% 134.38/24.50 % (3500749)Instructions burned: 150 (million)
% 134.38/24.50 % (3500751)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3498094604:i=14155:bd=all_2911 on theBenchmark for (2911ds/14155Mi)
% 134.38/24.50 % (3500729)Instruction limit reached!
% 134.38/24.50 % (3500729)------------------------------
% 134.38/24.50 % (3500729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.38/24.50 % (3500729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.38/24.50 % (3500729)CaDiCaL version: 2.1.3
% 134.38/24.50 % (3500729)Termination reason: Instruction limit
% 134.38/24.50 % (3500729)Termination phase: Saturation
% 134.38/24.50 % (3500729)Time elapsed: 3.470 s
% 134.38/24.50 % (3500729)Peak memory usage: 361 MB
% 134.38/24.50 % (3500729)Instructions burned: 5203 (million)
% 134.38/24.50 % (3500753)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1031156468:i=667:av=off:fsr=off_2898 on theBenchmark for (2898ds/667Mi)
% 134.38/24.50 % (3500753)Instruction limit reached!
% 134.38/24.50 % (3500753)------------------------------
% 134.38/24.50 % (3500753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.38/24.50 % (3500753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.38/24.50 % (3500753)CaDiCaL version: 2.1.3
% 134.38/24.50 % (3500753)Termination reason: Instruction limit
% 134.38/24.50 % (3500753)Termination phase: Preprocessing 2
% 134.38/24.50 % (3500753)Time elapsed: 0.604 s
% 134.38/24.50 % (3500753)Peak memory usage: 218 MB
% 134.38/24.50 % (3500753)Instructions burned: 668 (million)
% 134.38/24.50 % (3500755)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=1967793596:s2a=on:i=185:s2at=1.8:fdi=4_2890 on theBenchmark for (2890ds/185Mi)
% 134.38/24.50 % (3500755)Instruction limit reached!
% 134.38/24.50 % (3500755)------------------------------
% 134.38/24.50 % (3500755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.38/24.50 % (3500755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.38/24.50 % (3500755)CaDiCaL version: 2.1.3
% 134.38/24.50 % (3500755)Termination reason: Instruction limit
% 134.38/24.50 % (3500755)Termination phase: SInE selection
% 134.38/24.50 % (3500755)Time elapsed: 0.149 s
% 134.38/24.50 % (3500755)Peak memory usage: 201 MB
% 134.38/24.50 % (3500755)Instructions burned: 186 (million)
% 134.38/24.50 % (3500757)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=815144193:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2887 on theBenchmark for (2887ds/193Mi)
% 134.38/24.50 % (3500757)Instruction limit reached!
% 134.38/24.50 % (3500757)------------------------------
% 134.38/24.50 % (3500757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.38/24.50 % (3500757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.38/24.50 % (3500757)CaDiCaL version: 2.1.3
% 134.38/24.50 % (3500757)Termination reason: Instruction limit
% 134.38/24.50 % (3500757)Termination phase: SInE selection
% 134.38/24.50 % (3500757)Time elapsed: 0.149 s
% 134.38/24.50 % (3500757)Peak memory usage: 201 MB
% 134.38/24.50 % (3500757)Instructions burned: 193 (million)
% 134.38/24.50 % (3500759)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=486317420:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2884 on theBenchmark for (2884ds/4850Mi)
% 134.38/24.50 % (3500747)Instruction limit reached!
% 134.38/24.50 % (3500747)------------------------------
% 134.38/24.50 % (3500747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.38/24.50 % (3500747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.38/24.50 % (3500747)CaDiCaL version: 2.1.3
% 134.38/24.50 % (3500747)Termination reason: Instruction limit
% 134.38/24.50 % (3500747)Termination phase: NewCNF
% 134.38/24.50 % (3500747)Time elapsed: 4.825 s
% 134.38/24.50 % (3500747)Peak memory usage: 381 MB
% 134.38/24.50 % (3500747)Instructions burned: 6060 (million)
% 134.38/24.50 % (3500761)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3100449417:i=12111:sd=1:ss=included_2866 on theBenchmark for (2866ds/12111Mi)
% 134.38/24.50 % (3500759)Instruction limit reached!
% 134.38/24.50 % (3500759)------------------------------
% 134.38/24.50 % (3500759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.02/29.54 % (3500759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.02/29.54 % (3500759)CaDiCaL version: 2.1.3
% 170.02/29.54 % (3500759)Termination reason: Instruction limit
% 170.02/29.54 % (3500759)Termination phase: Property scanning
% 170.02/29.54 % (3500759)Time elapsed: 3.359 s
% 170.02/29.54 % (3500759)Peak memory usage: 355 MB
% 170.02/29.54 % (3500759)Instructions burned: 4851 (million)
% 170.02/29.54 % (3500763)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3416569003:i=319:kws=precedence:fsr=off_2849 on theBenchmark for (2849ds/319Mi)
% 170.02/29.54 % (3500736)Instruction limit reached!
% 170.02/29.54 % (3500736)------------------------------
% 170.02/29.54 % (3500736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.02/29.54 % (3500736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.02/29.54 % (3500736)CaDiCaL version: 2.1.3
% 170.02/29.54 % (3500736)Termination reason: Instruction limit
% 170.02/29.54 % (3500736)Termination phase: Saturation
% 170.02/29.54 % (3500736)Time elapsed: 8.022 s
% 170.02/29.54 % (3500736)Peak memory usage: 586 MB
% 170.02/29.54 % (3500736)Instructions burned: 13193 (million)
% 170.02/29.54 % (3500763)Instruction limit reached!
% 170.02/29.54 % (3500763)------------------------------
% 170.02/29.54 % (3500763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.02/29.54 % (3500763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.02/29.54 % (3500763)CaDiCaL version: 2.1.3
% 170.02/29.54 % (3500763)Termination reason: Instruction limit
% 170.02/29.54 % (3500763)Termination phase: Preprocessing 1
% 170.02/29.54 % (3500763)Time elapsed: 0.234 s
% 170.02/29.54 % (3500763)Peak memory usage: 203 MB
% 170.02/29.54 % (3500763)Instructions burned: 319 (million)
% 170.02/29.54 % (3500765)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2596984031:i=2064:ep=RST_2845 on theBenchmark for (2845ds/2064Mi)
% 170.02/29.54 % (3500766)dis-1011_128_sil=32000:random_seed=1885801770:i=3706:ep=RST:av=off_2845 on theBenchmark for (2845ds/3706Mi)
% 170.02/29.54 % (3500751)Instruction limit reached!
% 170.02/29.54 % (3500751)------------------------------
% 170.02/29.54 % (3500751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.02/29.54 % (3500751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.02/29.54 % (3500751)CaDiCaL version: 2.1.3
% 170.02/29.54 % (3500751)Termination reason: Instruction limit
% 170.02/29.54 % (3500751)Termination phase: Property scanning
% 170.02/29.54 % (3500751)Time elapsed: 7.073 s
% 170.02/29.54 % (3500751)Peak memory usage: 447 MB
% 170.02/29.54 % (3500751)Instructions burned: 14157 (million)
% 170.02/29.54 % (3500769)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2159986402:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2839 on theBenchmark for (2839ds/757Mi)
% 170.02/29.54 % (3500769)Instruction limit reached!
% 170.02/29.54 % (3500769)------------------------------
% 170.02/29.54 % (3500769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.02/29.54 % (3500769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.02/29.54 % (3500769)CaDiCaL version: 2.1.3
% 170.02/29.54 % (3500769)Termination reason: Instruction limit
% 170.02/29.54 % (3500769)Termination phase: Saturation
% 170.02/29.54 % (3500769)Time elapsed: 0.613 s
% 170.02/29.54 % (3500769)Peak memory usage: 211 MB
% 170.02/29.54 % (3500769)Instructions burned: 757 (million)
% 170.02/29.54 % (3500771)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=820871815:i=13913:ss=axioms:sgt=8_2831 on theBenchmark for (2831ds/13913Mi)
% 170.02/29.54 % (3500765)Instruction limit reached!
% 170.02/29.54 % (3500765)------------------------------
% 170.02/29.54 % (3500765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 170.02/29.54 % (3500765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 170.02/29.54 % (3500765)CaDiCaL version: 2.1.3
% 170.02/29.54 % (3500765)Termination reason: Instruction limit
% 170.02/29.54 % (3500765)Termination phase: Preprocessing 3
% 170.02/29.54 % (3500765)Time elapsed: 1.595 s
% 170.02/29.54 % (3500765)Peak memory usage: 317 MB
% 170.02/29.54 % (3500765)Instructions burned: 2064 (million)
% 170.02/29.54 % (3500773)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2937099853:i=9925:aac=none_2828 on theBenchmark for (2828ds/9925Mi)
% 170.02/29.54 % (3500766)Instruction limit reached!
% 170.02/29.54 % (3500766)------------------------------
% 170.02/29.54 % (3500766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 199.44/33.73 % (3500766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 199.44/33.73 % (3500766)CaDiCaL version: 2.1.3
% 199.44/33.73 % (3500766)Termination reason: Instruction limit
% 199.44/33.73 % (3500766)Termination phase: Preprocessing 3
% 199.44/33.73 % (3500766)Time elapsed: 2.598 s
% 199.44/33.73 % (3500766)Peak memory usage: 378 MB
% 199.44/33.73 % (3500766)Instructions burned: 3706 (million)
% 199.44/33.73 % (3500775)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=433026506:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2817 on theBenchmark for (2817ds/2479Mi)
% 199.44/33.73 % (3500775)Instruction limit reached!
% 199.44/33.73 % (3500775)------------------------------
% 199.44/33.73 % (3500775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 199.44/33.73 % (3500775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 199.44/33.73 % (3500775)CaDiCaL version: 2.1.3
% 199.44/33.73 % (3500775)Termination reason: Instruction limit
% 199.44/33.73 % (3500775)Termination phase: Saturation
% 199.44/33.73 % (3500775)Time elapsed: 1.676 s
% 199.44/33.73 % (3500775)Peak memory usage: 224 MB
% 199.44/33.73 % (3500775)Instructions burned: 2479 (million)
% 199.44/33.73 % (3500777)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=145476197:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2798 on theBenchmark for (2798ds/440Mi)
% 199.44/33.73 % (3500777)Instruction limit reached!
% 199.44/33.73 % (3500777)------------------------------
% 199.44/33.73 % (3500777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 199.44/33.73 % (3500777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 199.44/33.73 % (3500777)CaDiCaL version: 2.1.3
% 199.44/33.73 % (3500777)Termination reason: Instruction limit
% 199.44/33.73 % (3500777)Termination phase: Property scanning
% 199.44/33.73 % (3500777)Time elapsed: 0.194 s
% 199.44/33.73 % (3500777)Peak memory usage: 201 MB
% 199.44/33.73 % (3500777)Instructions burned: 440 (million)
% 199.44/33.73 % (3500779)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=268264353:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2795 on theBenchmark for (2795ds/11145Mi)
% 199.44/33.73 % (3500761)Instruction limit reached!
% 199.44/33.73 % (3500761)------------------------------
% 199.44/33.73 % (3500761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 199.44/33.73 % (3500761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 199.44/33.73 % (3500761)CaDiCaL version: 2.1.3
% 199.44/33.73 % (3500761)Termination reason: Instruction limit
% 199.44/33.73 % (3500761)Termination phase: Saturation
% 199.44/33.73 % (3500761)Time elapsed: 8.816 s
% 199.44/33.73 % (3500761)Peak memory usage: 337 MB
% 199.44/33.73 % (3500761)Instructions burned: 12111 (million)
% 199.44/33.73 % (3500781)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=1991591370:cts=off:i=3034:av=off:er=known:fsd=on_2776 on theBenchmark for (2776ds/3034Mi)
% 199.44/33.73 % (3500773)Instruction limit reached!
% 199.44/33.73 % (3500773)------------------------------
% 199.44/33.73 % (3500773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 199.44/33.73 % (3500773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 199.44/33.73 % (3500773)CaDiCaL version: 2.1.3
% 199.44/33.73 % (3500773)Termination reason: Instruction limit
% 199.44/33.73 % (3500773)Termination phase: Property scanning
% 199.44/33.73 % (3500773)Time elapsed: 5.590 s
% 199.44/33.73 % (3500773)Peak memory usage: 447 MB
% 199.44/33.73 % (3500773)Instructions burned: 9928 (million)
% 199.44/33.73 % (3500783)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4274911418:st=2:s2a=on:i=524:s2at=2:ss=axioms_2770 on theBenchmark for (2770ds/524Mi)
% 199.44/33.73 % (3500783)Instruction limit reached!
% 199.44/33.73 % (3500783)------------------------------
% 199.44/33.73 % (3500783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 199.44/33.73 % (3500783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 199.44/33.73 % (3500783)CaDiCaL version: 2.1.3
% 199.44/33.73 % (3500783)Termination reason: Instruction limit
% 199.44/33.73 % (3500783)Termination phase: SInE selection
% 199.44/33.73 % (3500783)Time elapsed: 0.366 s
% 199.44/33.73 % (3500783)Peak memory usage: 202 MB
% 199.44/33.73 % (3500783)Instructions burned: 524 (million)
% 199.44/33.73 % (3500785)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2076640409:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2765 on theBenchmark for (2765ds/1016Mi)
% 110.29/35.02 % (3500785)Instruction limit reached!
% 110.29/35.02 % (3500785)------------------------------
% 110.29/35.02 % (3500785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500785)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500785)Termination reason: Instruction limit
% 110.29/35.02 % (3500785)Termination phase: Saturation
% 110.29/35.02 % (3500785)Time elapsed: 0.709 s
% 110.29/35.02 % (3500785)Peak memory usage: 217 MB
% 110.29/35.02 % (3500785)Instructions burned: 1017 (million)
% 110.29/35.02 % (3500787)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1954354421:i=14123:bd=preordered:ins=4_2756 on theBenchmark for (2756ds/14123Mi)
% 110.29/35.02 % (3500781)Instruction limit reached!
% 110.29/35.02 % (3500781)------------------------------
% 110.29/35.02 % (3500781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500781)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500781)Termination reason: Instruction limit
% 110.29/35.02 % (3500781)Termination phase: Preprocessing 3
% 110.29/35.02 % (3500781)Time elapsed: 2.253 s
% 110.29/35.02 % (3500781)Peak memory usage: 337 MB
% 110.29/35.02 % (3500781)Instructions burned: 3035 (million)
% 110.29/35.02 % (3500789)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1155101427:i=5781:kws=precedence:bd=all:rawr=on_2752 on theBenchmark for (2752ds/5781Mi)
% 110.29/35.02 % (3500771)Instruction limit reached!
% 110.29/35.02 % (3500771)------------------------------
% 110.29/35.02 % (3500771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500771)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500771)Termination reason: Instruction limit
% 110.29/35.02 % (3500771)Termination phase: Saturation
% 110.29/35.02 % (3500771)Time elapsed: 8.767 s
% 110.29/35.02 % (3500771)Peak memory usage: 428 MB
% 110.29/35.02 % (3500771)Instructions burned: 13914 (million)
% 110.29/35.02 % (3500791)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=1015929885:i=2448:gtgl=5:bd=preordered:gtg=all_2742 on theBenchmark for (2742ds/2448Mi)
% 110.29/35.02 % (3500791)Instruction limit reached!
% 110.29/35.02 % (3500791)------------------------------
% 110.29/35.02 % (3500791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500791)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500791)Termination reason: Instruction limit
% 110.29/35.02 % (3500791)Termination phase: Property scanning
% 110.29/35.02 % (3500791)Time elapsed: 1.079 s
% 110.29/35.02 % (3500791)Peak memory usage: 201 MB
% 110.29/35.02 % (3500791)Instructions burned: 2449 (million)
% 110.29/35.02 % (3500793)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=572823583:i=3223:kws=precedence:fgj=on:av=off_2729 on theBenchmark for (2729ds/3223Mi)
% 110.29/35.02 % (3500779)Instruction limit reached!
% 110.29/35.02 % (3500779)------------------------------
% 110.29/35.02 % (3500779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500779)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500779)Termination reason: Instruction limit
% 110.29/35.02 % (3500779)Termination phase: Saturation
% 110.29/35.02 % (3500779)Time elapsed: 7.409 s
% 110.29/35.02 % (3500779)Peak memory usage: 374 MB
% 110.29/35.02 % (3500779)Instructions burned: 11145 (million)
% 110.29/35.02 % (3500795)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2241082929:st=5.6:i=2033:sd=3:ss=axioms_2719 on theBenchmark for (2719ds/2033Mi)
% 110.29/35.02 % (3500789)Instruction limit reached!
% 110.29/35.02 % (3500789)------------------------------
% 110.29/35.02 % (3500789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500789)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500789)Termination reason: Instruction limit
% 110.29/35.02 % (3500789)Termination phase: Property scanning
% 110.29/35.02 % (3500789)Time elapsed: 3.798 s
% 110.29/35.02 % (3500789)Peak memory usage: 412 MB
% 110.29/35.02 % (3500789)Instructions burned: 5783 (million)
% 110.29/35.02 % (3500797)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=969424618:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2712 on theBenchmark for (2712ds/2055Mi)
% 110.29/35.02 % (3500793)Instruction limit reached!
% 110.29/35.02 % (3500793)------------------------------
% 110.29/35.02 % (3500793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500793)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500793)Termination reason: Instruction limit
% 110.29/35.02 % (3500793)Termination phase: Preprocessing 3
% 110.29/35.02 % (3500793)Time elapsed: 2.365 s
% 110.29/35.02 % (3500793)Peak memory usage: 342 MB
% 110.29/35.02 % (3500793)Instructions burned: 3223 (million)
% 110.29/35.02 % (3500799)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=2264119366:i=21611:sd=3:ss=axioms_2704 on theBenchmark for (2704ds/21611Mi)
% 110.29/35.02 % (3500795)Instruction limit reached!
% 110.29/35.02 % (3500795)------------------------------
% 110.29/35.02 % (3500795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500795)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500795)Termination reason: Instruction limit
% 110.29/35.02 % (3500795)Termination phase: Preprocessing 3
% 110.29/35.02 % (3500795)Time elapsed: 1.584 s
% 110.29/35.02 % (3500795)Peak memory usage: 231 MB
% 110.29/35.02 % (3500795)Instructions burned: 2033 (million)
% 110.29/35.02 % (3500797)Instruction limit reached!
% 110.29/35.02 % (3500797)------------------------------
% 110.29/35.02 % (3500797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500797)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500797)Termination reason: Instruction limit
% 110.29/35.02 % (3500797)Termination phase: SInE selection
% 110.29/35.02 % (3500797)Time elapsed: 1.020 s
% 110.29/35.02 % (3500797)Peak memory usage: 203 MB
% 110.29/35.02 % (3500797)Instructions burned: 2056 (million)
% 110.29/35.02 % (3500801)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1657190466:i=4835:sd=13:ss=axioms:sgt=23_2702 on theBenchmark for (2702ds/4835Mi)
% 110.29/35.02 % (3500803)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3509715685:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2700 on theBenchmark for (2700ds/797Mi)
% 110.29/35.02 % (3500803)Instruction limit reached!
% 110.29/35.02 % (3500803)------------------------------
% 110.29/35.02 % (3500803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500803)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500803)Termination reason: Instruction limit
% 110.29/35.02 % (3500803)Termination phase: SInE selection
% 110.29/35.02 % (3500803)Time elapsed: 0.514 s
% 110.29/35.02 % (3500803)Peak memory usage: 203 MB
% 110.29/35.02 % (3500803)Instructions burned: 798 (million)
% 110.29/35.02 % (3500805)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1827660129:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2694 on theBenchmark for (2694ds/2326Mi)
% 110.29/35.02 % (3500805)Instruction limit reached!
% 110.29/35.02 % (3500805)------------------------------
% 110.29/35.02 % (3500805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500805)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500805)Termination reason: Instruction limit
% 110.29/35.02 % (3500805)Termination phase: Preprocessing 3
% 110.29/35.02 % (3500805)Time elapsed: 1.733 s
% 110.29/35.02 % (3500805)Peak memory usage: 331 MB
% 110.29/35.02 % (3500805)Instructions burned: 2326 (million)
% 110.29/35.02 % (3500807)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=103544040:i=6038:nm=6_2675 on theBenchmark for (2675ds/6038Mi)
% 110.29/35.02 % (3500801)Instruction limit reached!
% 110.29/35.02 % (3500801)------------------------------
% 110.29/35.02 % (3500801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.29/35.02 % (3500801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.29/35.02 % (3500801)CaDiCaL version: 2.1.3
% 110.29/35.02 % (3500801)Termination reason: Instruction limit
% 110.29/35.02 % (3500801)Termination phase: Saturation
% 110.29/35.02 % (3500801)Time elapsed: 2.967 s
% 110.29/35.02 % (3500801)Peak memory usage: 255 MB
% 110.29/35.02 % (3500801)Instructions burned: 4835 (million)
% 110.29/35.02 % (3500809)lrs+10_1_sil=32000:sp=occurrence:random_seed=197798579:st=2:i=33334:sd=3:ss=included:sgt=32_2670 on theBenchmark for (2670ds/33334Mi)
% 110.29/35.02 % (3500799)First to succeed.
% 110.29/35.02 % (3500799)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3500689"
% 110.29/35.02 % (3500799)Refutation found. Thanks to Tanya!
% 110.29/35.02 % SZS status Theorem for theBenchmark
% 110.29/35.02 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/35.14 % (3500799)------------------------------
% 0.15/35.14 % (3500799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/35.14 % (3500799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/35.14 % (3500799)CaDiCaL version: 2.1.3
% 0.15/35.14 % (3500799)Termination reason: Refutation
% 0.15/35.14 % (3500799)Time elapsed: 3.868 s
% 0.15/35.14 % (3500799)Peak memory usage: 311 MB
% 0.15/35.14 % (3500799)Instructions burned: 5903 (million)
% 0.15/35.14 % (3500799)------------------------------
% 0.15/35.14 % (3500799)------------------------------
% 0.15/35.14 % (3500689)Success in time 34.166 s
% 0.15/35.14 % Vampire exiting
%------------------------------------------------------------------------------