%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU448+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:49:10 PM UTC 2026
% Result : Theorem 136.73s 38.82s
% Output : Refutation 271.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 50
% Syntax : Number of formulae : 296 ( 62 unt; 35 def)
% Number of atoms : 1010 ( 51 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1352 ( 638 ~; 632 |; 20 &)
% ( 37 <=>; 24 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 29 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-4 aty)
% Number of variables : 269 ( 1 sgn 254 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f377,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_subset_1) ).
fof(f381,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(X1,k3_subset_1(X0,X2))
=> r1_tarski(X2,k3_subset_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_subset_1) ).
fof(f389,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_xboole_0(X1,X2)
<=> r1_tarski(X1,k3_subset_1(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
fof(f428,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f429,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> k3_subset_1(X0,k3_subset_1(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f1179,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1181,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1196,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1198,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f1205,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(f1206,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f4518,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
<=> r1_xboole_0(X3,k9_relat_1(X4,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relset_2) ).
fof(f4534,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3))
<=> r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_relset_2) ).
fof(f4535,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3))
<=> r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4534]) ).
fof(f4536,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f4549,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3))
<~> r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4535]) ).
fof(f4553,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f4554,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f4553]) ).
fof(f4559,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,[],[f1179]) ).
fof(f4579,plain,
! [X0,X1] :
( k3_subset_1(X0,k3_subset_1(X0,X1)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f429]) ).
fof(f4580,plain,
! [X0,X1] :
( m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f428]) ).
fof(f4596,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_xboole_0(X1,X2)
<=> r1_tarski(X1,k3_subset_1(X0,X2)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f389]) ).
fof(f4601,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(X2,k3_subset_1(X0,X1))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f381]) ).
fof(f4602,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(X2,k3_subset_1(X0,X1))
| ~ r1_tarski(X1,k3_subset_1(X0,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4601]) ).
fof(f4603,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f377]) ).
fof(f4626,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1198]) ).
fof(f4628,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1196]) ).
fof(f4630,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1206]) ).
fof(f4631,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1205]) ).
fof(f4920,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
<=> r1_xboole_0(X3,k9_relat_1(X4,X2)) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4518]) ).
fof(f5369,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2)
| ~ r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3)) )
& ( r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2)
| r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3)) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f4549]) ).
fof(f5370,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2)
| ~ r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3)) )
& ( r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2)
| r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3)) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f5369]) ).
fof(f5371,plain,
( ( ~ r1_tarski(k10_relset_1(sK7,sK6,k6_relset_1(sK6,sK7,sK10),sK9),sK8)
| ~ r1_tarski(k10_relset_1(sK6,sK7,sK10,k3_subset_1(sK6,sK8)),k3_subset_1(sK7,sK9)) )
& ( r1_tarski(k10_relset_1(sK7,sK6,k6_relset_1(sK6,sK7,sK10),sK9),sK8)
| r1_tarski(k10_relset_1(sK6,sK7,sK10,k3_subset_1(sK6,sK8)),k3_subset_1(sK7,sK9)) )
& m2_relset_1(sK10,sK6,sK7)
& m1_subset_1(sK9,k1_zfmisc_1(sK7))
& m1_subset_1(sK8,k1_zfmisc_1(sK6)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10)],[f5370]) ).
fof(f5408,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_xboole_0(X1,X2)
| ~ r1_tarski(X1,k3_subset_1(X0,X2)) )
& ( r1_tarski(X1,k3_subset_1(X0,X2))
| ~ r1_xboole_0(X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f4596]) ).
fof(f5409,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_tarski(X1,X2)
| ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
& ( r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| ~ r1_tarski(X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f4603]) ).
fof(f5540,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
| ~ r1_xboole_0(X3,k9_relat_1(X4,X2)) )
& ( r1_xboole_0(X3,k9_relat_1(X4,X2))
| ~ r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f4920]) ).
fof(f5557,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1181]) ).
fof(f5673,plain,
m1_subset_1(sK8,k1_zfmisc_1(sK6)),
inference(cnf_transformation,[],[f5371]) ).
fof(f5674,plain,
m1_subset_1(sK9,k1_zfmisc_1(sK7)),
inference(cnf_transformation,[],[f5371]) ).
fof(f5675,plain,
m2_relset_1(sK10,sK6,sK7),
inference(cnf_transformation,[],[f5371]) ).
fof(f5676,plain,
( r1_tarski(k10_relset_1(sK7,sK6,k6_relset_1(sK6,sK7,sK10),sK9),sK8)
| r1_tarski(k10_relset_1(sK6,sK7,sK10,k3_subset_1(sK6,sK8)),k3_subset_1(sK7,sK9)) ),
inference(cnf_transformation,[],[f5371]) ).
fof(f5677,plain,
( ~ r1_tarski(k10_relset_1(sK7,sK6,k6_relset_1(sK6,sK7,sK10),sK9),sK8)
| ~ r1_tarski(k10_relset_1(sK6,sK7,sK10,k3_subset_1(sK6,sK8)),k3_subset_1(sK7,sK9)) ),
inference(cnf_transformation,[],[f5371]) ).
fof(f5680,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f4554]) ).
fof(f5684,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f4536]) ).
fof(f5695,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,[],[f4559]) ).
fof(f5731,plain,
! [X0,X1] :
( k3_subset_1(X0,k3_subset_1(X0,X1)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4579]) ).
fof(f5732,plain,
! [X0,X1] :
( m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4580]) ).
fof(f5748,plain,
! [X2,X0,X1] :
( r1_tarski(X1,k3_subset_1(X0,X2))
| ~ r1_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f5408]) ).
fof(f5749,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,k3_subset_1(X0,X2))
| r1_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f5408]) ).
fof(f5752,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,k3_subset_1(X0,X2))
| r1_tarski(X2,k3_subset_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4602]) ).
fof(f5753,plain,
! [X2,X0,X1] :
( r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f5409]) ).
fof(f5754,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f5409]) ).
fof(f5777,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4626]) ).
fof(f5779,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4628]) ).
fof(f5781,plain,
! [X2,X3,X0,X1] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4630]) ).
fof(f5782,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4631]) ).
fof(f6221,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
| r1_xboole_0(X3,k9_relat_1(X4,X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f5540]) ).
fof(f6222,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ r1_xboole_0(X3,k9_relat_1(X4,X2))
| r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f5540]) ).
fof(f6316,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5557]) ).
fof(f7073,definition,
sF199 = k6_relset_1(sK6,sK7,sK10),
introduced(definition,[new_symbols(definition,[sF199])],[function_definition]) ).
fof(f7074,plain,
k6_relset_1(sK6,sK7,sK10) = sF199,
inference(reorient_equations,[],[f7073]) ).
fof(f7075,definition,
sF200 = k10_relset_1(sK7,sK6,sF199,sK9),
introduced(definition,[new_symbols(definition,[sF200])],[function_definition]) ).
fof(f7076,plain,
k10_relset_1(sK7,sK6,sF199,sK9) = sF200,
inference(reorient_equations,[],[f7075]) ).
fof(f7077,definition,
sF201 = k3_subset_1(sK6,sK8),
introduced(definition,[new_symbols(definition,[sF201])],[function_definition]) ).
fof(f7078,plain,
k3_subset_1(sK6,sK8) = sF201,
inference(reorient_equations,[],[f7077]) ).
fof(f7079,definition,
sF202 = k10_relset_1(sK6,sK7,sK10,sF201),
introduced(definition,[new_symbols(definition,[sF202])],[function_definition]) ).
fof(f7080,plain,
k10_relset_1(sK6,sK7,sK10,sF201) = sF202,
inference(reorient_equations,[],[f7079]) ).
fof(f7081,definition,
sF203 = k3_subset_1(sK7,sK9),
introduced(definition,[new_symbols(definition,[sF203])],[function_definition]) ).
fof(f7082,plain,
k3_subset_1(sK7,sK9) = sF203,
inference(reorient_equations,[],[f7081]) ).
fof(f7083,plain,
( ~ r1_tarski(sF200,sK8)
| ~ r1_tarski(sF202,sF203) ),
inference(definition_folding,[],[f5677,f7082,f7080,f7078,f7076,f7074]) ).
fof(f7084,plain,
( r1_tarski(sF200,sK8)
| r1_tarski(sF202,sF203) ),
inference(definition_folding,[],[f5676,f7082,f7080,f7078,f7076,f7074]) ).
fof(f7085,definition,
sF204 = k1_zfmisc_1(sK7),
introduced(definition,[new_symbols(definition,[sF204])],[function_definition]) ).
fof(f7086,plain,
k1_zfmisc_1(sK7) = sF204,
inference(reorient_equations,[],[f7085]) ).
fof(f7087,plain,
m1_subset_1(sK9,sF204),
inference(definition_folding,[],[f5674,f7086]) ).
fof(f7088,definition,
sF205 = k1_zfmisc_1(sK6),
introduced(definition,[new_symbols(definition,[sF205])],[function_definition]) ).
fof(f7089,plain,
k1_zfmisc_1(sK6) = sF205,
inference(reorient_equations,[],[f7088]) ).
fof(f7090,plain,
m1_subset_1(sK8,sF205),
inference(definition_folding,[],[f5673,f7089]) ).
fof(f7358,definition,
( spl206_53
<=> m1_subset_1(sK8,sF205) ),
introduced(definition,[new_symbols(definition,[spl206_53])],[avatar_definition]) ).
fof(f7360,plain,
( m1_subset_1(sK8,sF205)
| ~ spl206_53 ),
inference(avatar_component_clause,[],[f7358]) ).
fof(f7361,plain,
spl206_53,
inference(avatar_split_clause,[],[f7090,f7358]) ).
fof(f7363,definition,
( spl206_54
<=> m1_subset_1(sK9,sF204) ),
introduced(definition,[new_symbols(definition,[spl206_54])],[avatar_definition]) ).
fof(f7365,plain,
( m1_subset_1(sK9,sF204)
| ~ spl206_54 ),
inference(avatar_component_clause,[],[f7363]) ).
fof(f7366,plain,
spl206_54,
inference(avatar_split_clause,[],[f7087,f7363]) ).
fof(f7368,definition,
( spl206_55
<=> m2_relset_1(sK10,sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl206_55])],[avatar_definition]) ).
fof(f7370,plain,
( m2_relset_1(sK10,sK6,sK7)
| ~ spl206_55 ),
inference(avatar_component_clause,[],[f7368]) ).
fof(f7371,plain,
spl206_55,
inference(avatar_split_clause,[],[f5675,f7368]) ).
fof(f7373,definition,
( spl206_56
<=> r1_tarski(sF202,sF203) ),
introduced(definition,[new_symbols(definition,[spl206_56])],[avatar_definition]) ).
fof(f7374,plain,
( ~ r1_tarski(sF202,sF203)
| spl206_56 ),
inference(avatar_component_clause,[],[f7373]) ).
fof(f7377,definition,
( spl206_57
<=> r1_tarski(sF200,sK8) ),
introduced(definition,[new_symbols(definition,[spl206_57])],[avatar_definition]) ).
fof(f7379,plain,
( r1_tarski(sF200,sK8)
| ~ spl206_57 ),
inference(avatar_component_clause,[],[f7377]) ).
fof(f7380,plain,
( spl206_56
| spl206_57 ),
inference(avatar_split_clause,[],[f7084,f7377,f7373]) ).
fof(f7381,plain,
( ~ spl206_56
| ~ spl206_57 ),
inference(avatar_split_clause,[],[f7083,f7377,f7373]) ).
fof(f7383,definition,
( spl206_58
<=> k6_relset_1(sK6,sK7,sK10) = sF199 ),
introduced(definition,[new_symbols(definition,[spl206_58])],[avatar_definition]) ).
fof(f7385,plain,
( k6_relset_1(sK6,sK7,sK10) = sF199
| ~ spl206_58 ),
inference(avatar_component_clause,[],[f7383]) ).
fof(f7386,plain,
spl206_58,
inference(avatar_split_clause,[],[f7074,f7383]) ).
fof(f7388,definition,
( spl206_59
<=> k10_relset_1(sK7,sK6,sF199,sK9) = sF200 ),
introduced(definition,[new_symbols(definition,[spl206_59])],[avatar_definition]) ).
fof(f7390,plain,
( k10_relset_1(sK7,sK6,sF199,sK9) = sF200
| ~ spl206_59 ),
inference(avatar_component_clause,[],[f7388]) ).
fof(f7391,plain,
spl206_59,
inference(avatar_split_clause,[],[f7076,f7388]) ).
fof(f7393,definition,
( spl206_60
<=> k3_subset_1(sK6,sK8) = sF201 ),
introduced(definition,[new_symbols(definition,[spl206_60])],[avatar_definition]) ).
fof(f7395,plain,
( k3_subset_1(sK6,sK8) = sF201
| ~ spl206_60 ),
inference(avatar_component_clause,[],[f7393]) ).
fof(f7396,plain,
spl206_60,
inference(avatar_split_clause,[],[f7078,f7393]) ).
fof(f7398,definition,
( spl206_61
<=> k10_relset_1(sK6,sK7,sK10,sF201) = sF202 ),
introduced(definition,[new_symbols(definition,[spl206_61])],[avatar_definition]) ).
fof(f7400,plain,
( k10_relset_1(sK6,sK7,sK10,sF201) = sF202
| ~ spl206_61 ),
inference(avatar_component_clause,[],[f7398]) ).
fof(f7401,plain,
spl206_61,
inference(avatar_split_clause,[],[f7080,f7398]) ).
fof(f7403,definition,
( spl206_62
<=> k3_subset_1(sK7,sK9) = sF203 ),
introduced(definition,[new_symbols(definition,[spl206_62])],[avatar_definition]) ).
fof(f7405,plain,
( k3_subset_1(sK7,sK9) = sF203
| ~ spl206_62 ),
inference(avatar_component_clause,[],[f7403]) ).
fof(f7406,plain,
spl206_62,
inference(avatar_split_clause,[],[f7082,f7403]) ).
fof(f7408,definition,
( spl206_63
<=> k1_zfmisc_1(sK7) = sF204 ),
introduced(definition,[new_symbols(definition,[spl206_63])],[avatar_definition]) ).
fof(f7410,plain,
( k1_zfmisc_1(sK7) = sF204
| ~ spl206_63 ),
inference(avatar_component_clause,[],[f7408]) ).
fof(f7411,plain,
spl206_63,
inference(avatar_split_clause,[],[f7086,f7408]) ).
fof(f7413,definition,
( spl206_64
<=> k1_zfmisc_1(sK6) = sF205 ),
introduced(definition,[new_symbols(definition,[spl206_64])],[avatar_definition]) ).
fof(f7415,plain,
( k1_zfmisc_1(sK6) = sF205
| ~ spl206_64 ),
inference(avatar_component_clause,[],[f7413]) ).
fof(f7416,plain,
spl206_64,
inference(avatar_split_clause,[],[f7089,f7413]) ).
fof(f7419,plain,
( m1_subset_1(sF200,k1_zfmisc_1(sK6))
| ~ m1_relset_1(sF199,sK7,sK6)
| ~ spl206_59 ),
inference(superposition,[],[f5782,f7390]) ).
fof(f7420,plain,
( m1_subset_1(sF202,k1_zfmisc_1(sK7))
| ~ m1_relset_1(sK10,sK6,sK7)
| ~ spl206_61 ),
inference(superposition,[],[f5782,f7400]) ).
fof(f7421,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k10_relset_1(X0,sK7,X1,X2),sF204)
| ~ m1_relset_1(X1,X0,sK7) )
| ~ spl206_63 ),
inference(superposition,[],[f5782,f7410]) ).
fof(f7423,plain,
( m1_subset_1(sF202,sF204)
| ~ m1_relset_1(sK10,sK6,sK7)
| ~ spl206_61
| ~ spl206_63 ),
inference(forward_demodulation,[],[f7420,f7410]) ).
fof(f7424,plain,
( m1_subset_1(sF200,sF205)
| ~ m1_relset_1(sF199,sK7,sK6)
| ~ spl206_59
| ~ spl206_64 ),
inference(forward_demodulation,[],[f7419,f7415]) ).
fof(f7426,definition,
( spl206_65
<=> m1_relset_1(sK10,sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl206_65])],[avatar_definition]) ).
fof(f7427,plain,
( m1_relset_1(sK10,sK6,sK7)
| ~ spl206_65 ),
inference(avatar_component_clause,[],[f7426]) ).
fof(f7430,definition,
( spl206_66
<=> m1_subset_1(sF202,sF204) ),
introduced(definition,[new_symbols(definition,[spl206_66])],[avatar_definition]) ).
fof(f7432,plain,
( m1_subset_1(sF202,sF204)
| ~ spl206_66 ),
inference(avatar_component_clause,[],[f7430]) ).
fof(f7433,plain,
( ~ spl206_65
| spl206_66
| ~ spl206_61
| ~ spl206_63 ),
inference(avatar_split_clause,[],[f7423,f7408,f7398,f7430,f7426]) ).
fof(f7435,definition,
( spl206_67
<=> m1_relset_1(sF199,sK7,sK6) ),
introduced(definition,[new_symbols(definition,[spl206_67])],[avatar_definition]) ).
fof(f7439,definition,
( spl206_68
<=> m1_subset_1(sF200,sF205) ),
introduced(definition,[new_symbols(definition,[spl206_68])],[avatar_definition]) ).
fof(f7441,plain,
( m1_subset_1(sF200,sF205)
| ~ spl206_68 ),
inference(avatar_component_clause,[],[f7439]) ).
fof(f7442,plain,
( ~ spl206_67
| spl206_68
| ~ spl206_59
| ~ spl206_64 ),
inference(avatar_split_clause,[],[f7424,f7413,f7388,f7439,f7435]) ).
fof(f7444,plain,
( ! [X0] :
( ~ r1_tarski(sF201,k3_subset_1(sK6,X0))
| r1_tarski(X0,sK8)
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK6))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK6)) )
| ~ spl206_60 ),
inference(superposition,[],[f5754,f7395]) ).
fof(f7449,plain,
( ! [X0] :
( ~ m1_subset_1(sK8,sF205)
| ~ r1_tarski(sF201,k3_subset_1(sK6,X0))
| r1_tarski(X0,sK8)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK6)) )
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f7444,f7415]) ).
fof(f7453,plain,
( ! [X0] :
( ~ r1_tarski(sF201,k3_subset_1(sK6,X0))
| r1_tarski(X0,sK8)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK6)) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_subsumption_resolution,[],[f7449,f7360]) ).
fof(f7457,plain,
( ! [X0] :
( ~ r1_tarski(sF201,k3_subset_1(sK6,X0))
| ~ m1_subset_1(X0,sF205)
| r1_tarski(X0,sK8) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f7453,f7415]) ).
fof(f7523,plain,
( sF199 = k4_relat_1(sK10)
| ~ m1_relset_1(sK10,sK6,sK7)
| ~ spl206_58 ),
inference(superposition,[],[f5777,f7385]) ).
fof(f7528,definition,
( spl206_75
<=> sF199 = k4_relat_1(sK10) ),
introduced(definition,[new_symbols(definition,[spl206_75])],[avatar_definition]) ).
fof(f7530,plain,
( sF199 = k4_relat_1(sK10)
| ~ spl206_75 ),
inference(avatar_component_clause,[],[f7528]) ).
fof(f7532,plain,
( ~ spl206_65
| spl206_75
| ~ spl206_58 ),
inference(avatar_split_clause,[],[f7523,f7383,f7528,f7426]) ).
fof(f7535,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF203)
| r1_tarski(sK9,k3_subset_1(sK7,X0))
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK7)) )
| ~ spl206_62 ),
inference(superposition,[],[f5752,f7405]) ).
fof(f7539,plain,
( ! [X0] :
( ~ m1_subset_1(sK9,sF204)
| ~ r1_tarski(X0,sF203)
| r1_tarski(sK9,k3_subset_1(sK7,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK7)) )
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_demodulation,[],[f7535,f7410]) ).
fof(f7543,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF203)
| r1_tarski(sK9,k3_subset_1(sK7,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK7)) )
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_subsumption_resolution,[],[f7539,f7365]) ).
fof(f7546,plain,
( ! [X0] :
( r1_tarski(sK9,k3_subset_1(sK7,X0))
| ~ r1_tarski(X0,sF203)
| ~ m1_subset_1(X0,sF204) )
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_demodulation,[],[f7543,f7410]) ).
fof(f7551,definition,
( spl206_77
<=> m1_subset_1(sF203,sF204) ),
introduced(definition,[new_symbols(definition,[spl206_77])],[avatar_definition]) ).
fof(f7588,definition,
( spl206_79
<=> m1_subset_1(sF201,sF205) ),
introduced(definition,[new_symbols(definition,[spl206_79])],[avatar_definition]) ).
fof(f7589,plain,
( m1_subset_1(sF201,sF205)
| ~ spl206_79 ),
inference(avatar_component_clause,[],[f7588]) ).
fof(f7612,plain,
( m2_relset_1(sF199,sK7,sK6)
| ~ m1_relset_1(sK10,sK6,sK7)
| ~ spl206_58 ),
inference(superposition,[],[f5779,f7385]) ).
fof(f7616,definition,
( spl206_82
<=> m2_relset_1(sF199,sK7,sK6) ),
introduced(definition,[new_symbols(definition,[spl206_82])],[avatar_definition]) ).
fof(f7618,plain,
( m2_relset_1(sF199,sK7,sK6)
| ~ spl206_82 ),
inference(avatar_component_clause,[],[f7616]) ).
fof(f7619,plain,
( ~ spl206_65
| spl206_82
| ~ spl206_58 ),
inference(avatar_split_clause,[],[f7612,f7383,f7616,f7426]) ).
fof(f7621,plain,
! [X2,X3,X0,X1] :
( ~ r1_tarski(X0,k3_subset_1(X1,X2))
| r1_tarski(X0,k3_subset_1(X1,X3))
| ~ r1_tarski(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(resolution,[],[f5680,f5753]) ).
fof(f7629,plain,
( m1_subset_1(sF203,k1_zfmisc_1(sK7))
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ spl206_62 ),
inference(superposition,[],[f5732,f7405]) ).
fof(f7630,plain,
( m1_subset_1(sF201,k1_zfmisc_1(sK6))
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK6))
| ~ spl206_60 ),
inference(superposition,[],[f5732,f7395]) ).
fof(f7633,plain,
( m1_subset_1(sF201,sF205)
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK6))
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f7630,f7415]) ).
fof(f7634,plain,
( m1_subset_1(sF203,sF204)
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_demodulation,[],[f7629,f7410]) ).
fof(f7635,plain,
( ~ m1_subset_1(sK8,sF205)
| m1_subset_1(sF201,sF205)
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f7633,f7415]) ).
fof(f7636,plain,
( ~ m1_subset_1(sK9,sF204)
| m1_subset_1(sF203,sF204)
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_demodulation,[],[f7634,f7410]) ).
fof(f7637,plain,
( m1_subset_1(sF201,sF205)
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_subsumption_resolution,[],[f7635,f7360]) ).
fof(f7638,plain,
( m1_subset_1(sF203,sF204)
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_subsumption_resolution,[],[f7636,f7365]) ).
fof(f7639,plain,
( spl206_79
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(avatar_split_clause,[],[f7637,f7413,f7393,f7358,f7588]) ).
fof(f7640,plain,
( spl206_77
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(avatar_split_clause,[],[f7638,f7408,f7403,f7363,f7551]) ).
fof(f7641,plain,
( sK9 = k3_subset_1(sK7,sF203)
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ spl206_62 ),
inference(superposition,[],[f5731,f7405]) ).
fof(f7670,plain,
( ~ m1_subset_1(sK9,sF204)
| sK9 = k3_subset_1(sK7,sF203)
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_demodulation,[],[f7641,f7410]) ).
fof(f7672,plain,
( sK9 = k3_subset_1(sK7,sF203)
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_subsumption_resolution,[],[f7670,f7365]) ).
fof(f7679,definition,
( spl206_84
<=> sK9 = k3_subset_1(sK7,sF203) ),
introduced(definition,[new_symbols(definition,[spl206_84])],[avatar_definition]) ).
fof(f7681,plain,
( sK9 = k3_subset_1(sK7,sF203)
| ~ spl206_84 ),
inference(avatar_component_clause,[],[f7679]) ).
fof(f7682,plain,
( spl206_84
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(avatar_split_clause,[],[f7672,f7408,f7403,f7363,f7679]) ).
fof(f7756,plain,
( sF200 = k9_relat_1(sF199,sK9)
| ~ m1_relset_1(sF199,sK7,sK6)
| ~ spl206_59 ),
inference(superposition,[],[f5781,f7390]) ).
fof(f7759,plain,
( sF202 = k9_relat_1(sK10,sF201)
| ~ m1_relset_1(sK10,sK6,sK7)
| ~ spl206_61 ),
inference(superposition,[],[f5781,f7400]) ).
fof(f7780,definition,
( spl206_93
<=> sF202 = k9_relat_1(sK10,sF201) ),
introduced(definition,[new_symbols(definition,[spl206_93])],[avatar_definition]) ).
fof(f7782,plain,
( sF202 = k9_relat_1(sK10,sF201)
| ~ spl206_93 ),
inference(avatar_component_clause,[],[f7780]) ).
fof(f7795,definition,
( spl206_96
<=> sF200 = k9_relat_1(sF199,sK9) ),
introduced(definition,[new_symbols(definition,[spl206_96])],[avatar_definition]) ).
fof(f7797,plain,
( sF200 = k9_relat_1(sF199,sK9)
| ~ spl206_96 ),
inference(avatar_component_clause,[],[f7795]) ).
fof(f7799,plain,
( ~ spl206_65
| spl206_93
| ~ spl206_61 ),
inference(avatar_split_clause,[],[f7759,f7398,f7780,f7426]) ).
fof(f7802,plain,
( ~ spl206_67
| spl206_96
| ~ spl206_59 ),
inference(avatar_split_clause,[],[f7756,f7388,f7795,f7435]) ).
fof(f7829,plain,
( m1_relset_1(sK10,sK6,sK7)
| ~ spl206_55 ),
inference(resolution,[],[f6316,f7370]) ).
fof(f7831,plain,
( spl206_65
| ~ spl206_55 ),
inference(avatar_split_clause,[],[f7829,f7368,f7426]) ).
fof(f7832,plain,
( m1_relset_1(sF199,sK7,sK6)
| ~ spl206_82 ),
inference(resolution,[],[f7618,f6316]) ).
fof(f7833,plain,
( spl206_67
| ~ spl206_82 ),
inference(avatar_split_clause,[],[f7832,f7616,f7435]) ).
fof(f7904,plain,
( ! [X0] :
( ~ r1_tarski(sK9,k3_subset_1(sK7,X0))
| r1_tarski(X0,sF203)
| ~ m1_subset_1(sF203,k1_zfmisc_1(sK7))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK7)) )
| ~ spl206_84 ),
inference(superposition,[],[f5754,f7681]) ).
fof(f7907,plain,
( ! [X0] :
( ~ m1_subset_1(sF203,sF204)
| ~ r1_tarski(sK9,k3_subset_1(sK7,X0))
| r1_tarski(X0,sF203)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK7)) )
| ~ spl206_63
| ~ spl206_84 ),
inference(forward_demodulation,[],[f7904,f7410]) ).
fof(f7918,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF204)
| ~ m1_subset_1(sF203,sF204)
| ~ r1_tarski(sK9,k3_subset_1(sK7,X0))
| r1_tarski(X0,sF203) )
| ~ spl206_63
| ~ spl206_84 ),
inference(forward_demodulation,[],[f7907,f7410]) ).
fof(f7924,definition,
( spl206_105
<=> ! [X0] :
( ~ m1_subset_1(X0,sF204)
| r1_tarski(X0,sF203)
| ~ r1_tarski(sK9,k3_subset_1(sK7,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl206_105])],[avatar_definition]) ).
fof(f7925,plain,
( ! [X0] :
( ~ r1_tarski(sK9,k3_subset_1(sK7,X0))
| r1_tarski(X0,sF203)
| ~ m1_subset_1(X0,sF204) )
| ~ spl206_105 ),
inference(avatar_component_clause,[],[f7924]) ).
fof(f7926,plain,
( ~ spl206_77
| spl206_105
| ~ spl206_63
| ~ spl206_84 ),
inference(avatar_split_clause,[],[f7918,f7679,f7408,f7924,f7551]) ).
fof(f8405,definition,
( spl206_156
<=> r1_xboole_0(sK9,sF202) ),
introduced(definition,[new_symbols(definition,[spl206_156])],[avatar_definition]) ).
fof(f8557,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_xboole_0(X0,k9_relat_1(k4_relat_1(X1),X2))
| r1_xboole_0(X2,k9_relat_1(X1,X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X0,k1_zfmisc_1(X4))
| ~ m2_relset_1(X1,X4,X3) ),
inference(resolution,[],[f6221,f5695]) ).
fof(f8561,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X0,k9_relat_1(sF199,X1))
| r1_xboole_0(X1,k9_relat_1(sK10,X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X3))
| ~ m2_relset_1(sK10,X3,X2) )
| ~ spl206_75 ),
inference(superposition,[],[f8557,f7530]) ).
fof(f8563,plain,
( ! [X2,X0,X1] :
( r1_xboole_0(sK9,k9_relat_1(sK10,X0))
| ~ r1_xboole_0(X0,sF200)
| ~ m1_subset_1(sK9,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m2_relset_1(sK10,X2,X1) )
| ~ spl206_75
| ~ spl206_96 ),
inference(superposition,[],[f8561,f7797]) ).
fof(f8565,plain,
( ! [X0,X1] :
( r1_xboole_0(sK9,sF202)
| ~ r1_xboole_0(sF201,sF200)
| ~ m1_subset_1(sK9,k1_zfmisc_1(X0))
| ~ m1_subset_1(sF201,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK10,X1,X0) )
| ~ spl206_75
| ~ spl206_93
| ~ spl206_96 ),
inference(superposition,[],[f8563,f7782]) ).
fof(f8567,definition,
( spl206_171
<=> ! [X0,X1] :
( ~ m1_subset_1(sK9,k1_zfmisc_1(X0))
| ~ m1_subset_1(sF201,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK10,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl206_171])],[avatar_definition]) ).
fof(f8568,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK10,X1,X0)
| ~ m1_subset_1(sF201,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK9,k1_zfmisc_1(X0)) )
| ~ spl206_171 ),
inference(avatar_component_clause,[],[f8567]) ).
fof(f8570,definition,
( spl206_172
<=> r1_xboole_0(sF201,sF200) ),
introduced(definition,[new_symbols(definition,[spl206_172])],[avatar_definition]) ).
fof(f8572,plain,
( ~ r1_xboole_0(sF201,sF200)
| spl206_172 ),
inference(avatar_component_clause,[],[f8570]) ).
fof(f8573,plain,
( spl206_171
| ~ spl206_172
| spl206_156
| ~ spl206_75
| ~ spl206_93
| ~ spl206_96 ),
inference(avatar_split_clause,[],[f8565,f7795,f7780,f7528,f8405,f8570,f8567]) ).
fof(f8577,plain,
( ! [X0] :
( ~ r1_xboole_0(sK9,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK7))
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| r1_tarski(X0,sF203)
| ~ m1_subset_1(X0,sF204) )
| ~ spl206_105 ),
inference(resolution,[],[f5748,f7925]) ).
fof(f8578,plain,
( ! [X0] :
( ~ r1_xboole_0(sF201,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK6))
| ~ m1_subset_1(sF201,k1_zfmisc_1(sK6))
| ~ m1_subset_1(X0,sF205)
| r1_tarski(X0,sK8) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(resolution,[],[f5748,f7457]) ).
fof(f8598,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF205)
| ~ r1_xboole_0(sF201,X0)
| ~ m1_subset_1(sF201,k1_zfmisc_1(sK6))
| ~ m1_subset_1(X0,sF205)
| r1_tarski(X0,sK8) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f8578,f7415]) ).
fof(f8599,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF205)
| ~ r1_xboole_0(sF201,X0)
| ~ m1_subset_1(sF201,k1_zfmisc_1(sK6))
| r1_tarski(X0,sK8) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(duplicate_literal_removal,[],[f8598]) ).
fof(f8600,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF204)
| ~ r1_xboole_0(sK9,X0)
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| r1_tarski(X0,sF203)
| ~ m1_subset_1(X0,sF204) )
| ~ spl206_63
| ~ spl206_105 ),
inference(forward_demodulation,[],[f8577,f7410]) ).
fof(f8601,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF204)
| ~ r1_xboole_0(sK9,X0)
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| r1_tarski(X0,sF203) )
| ~ spl206_63
| ~ spl206_105 ),
inference(duplicate_literal_removal,[],[f8600]) ).
fof(f8608,plain,
( ! [X0] :
( ~ m1_subset_1(sF201,sF205)
| ~ m1_subset_1(X0,sF205)
| ~ r1_xboole_0(sF201,X0)
| r1_tarski(X0,sK8) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f8599,f7415]) ).
fof(f8609,plain,
( ! [X0] :
( ~ m1_subset_1(sK9,sF204)
| ~ m1_subset_1(X0,sF204)
| ~ r1_xboole_0(sK9,X0)
| r1_tarski(X0,sF203) )
| ~ spl206_63
| ~ spl206_105 ),
inference(forward_demodulation,[],[f8601,f7410]) ).
fof(f8619,definition,
( spl206_174
<=> ! [X0] :
( ~ m1_subset_1(X0,sF205)
| r1_tarski(X0,sK8)
| ~ r1_xboole_0(sF201,X0) ) ),
introduced(definition,[new_symbols(definition,[spl206_174])],[avatar_definition]) ).
fof(f8620,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF205)
| r1_tarski(X0,sK8)
| ~ r1_xboole_0(sF201,X0) )
| ~ spl206_174 ),
inference(avatar_component_clause,[],[f8619]) ).
fof(f8621,plain,
( spl206_174
| ~ spl206_79
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(avatar_split_clause,[],[f8608,f7413,f7393,f7358,f7588,f8619]) ).
fof(f8622,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF204)
| ~ r1_xboole_0(sK9,X0)
| r1_tarski(X0,sF203) )
| ~ spl206_54
| ~ spl206_63
| ~ spl206_105 ),
inference(forward_subsumption_resolution,[],[f8609,f7365]) ).
fof(f8692,plain,
! [X2,X3,X0,X1,X4] :
( r1_xboole_0(X2,k9_relat_1(k4_relat_1(X1),X0))
| ~ r1_xboole_0(X0,k9_relat_1(X1,X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X4))
| ~ m2_relset_1(X1,X4,X3) ),
inference(resolution,[],[f6222,f5695]) ).
fof(f8697,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_xboole_0(X1,k9_relat_1(sK10,X0))
| r1_xboole_0(X0,k9_relat_1(sF199,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X3))
| ~ m2_relset_1(sK10,X3,X2) )
| ~ spl206_75 ),
inference(superposition,[],[f8692,f7530]) ).
fof(f8700,plain,
( ! [X2,X0,X1] :
( r1_xboole_0(sF201,k9_relat_1(sF199,X0))
| ~ r1_xboole_0(X0,sF202)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(sF201,k1_zfmisc_1(X2))
| ~ m2_relset_1(sK10,X2,X1) )
| ~ spl206_75
| ~ spl206_93 ),
inference(superposition,[],[f8697,f7782]) ).
fof(f8904,plain,
( ! [X0] :
( r1_xboole_0(sK9,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK7))
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ r1_tarski(X0,sF203)
| ~ m1_subset_1(X0,sF204) )
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(resolution,[],[f5749,f7546]) ).
fof(f8925,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF204)
| r1_xboole_0(sK9,X0)
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ r1_tarski(X0,sF203)
| ~ m1_subset_1(X0,sF204) )
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_demodulation,[],[f8904,f7410]) ).
fof(f8926,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF204)
| r1_xboole_0(sK9,X0)
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ r1_tarski(X0,sF203) )
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(duplicate_literal_removal,[],[f8925]) ).
fof(f8938,plain,
( ! [X0] :
( ~ m1_subset_1(sK9,sF204)
| ~ m1_subset_1(X0,sF204)
| r1_xboole_0(sK9,X0)
| ~ r1_tarski(X0,sF203) )
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_demodulation,[],[f8926,f7410]) ).
fof(f8946,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF204)
| r1_xboole_0(sK9,X0)
| ~ r1_tarski(X0,sF203) )
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63 ),
inference(forward_subsumption_resolution,[],[f8938,f7365]) ).
fof(f9028,plain,
( r1_tarski(sF200,sK8)
| ~ r1_xboole_0(sF201,sF200)
| ~ spl206_68
| ~ spl206_174 ),
inference(resolution,[],[f8620,f7441]) ).
fof(f9648,plain,
( ! [X0,X1] :
( r1_xboole_0(sF201,sF200)
| ~ r1_xboole_0(sK9,sF202)
| ~ m1_subset_1(sK9,k1_zfmisc_1(X0))
| ~ m1_subset_1(sF201,k1_zfmisc_1(X1))
| ~ m2_relset_1(sK10,X1,X0) )
| ~ spl206_75
| ~ spl206_93
| ~ spl206_96 ),
inference(superposition,[],[f8700,f7797]) ).
fof(f9671,plain,
( spl206_171
| ~ spl206_156
| spl206_172
| ~ spl206_75
| ~ spl206_93
| ~ spl206_96 ),
inference(avatar_split_clause,[],[f9648,f7795,f7780,f7528,f8570,f8405,f8567]) ).
fof(f10035,plain,
( ! [X2,X0,X1] :
( ~ r1_xboole_0(sK9,k10_relset_1(X1,sK7,X0,X2))
| ~ m1_relset_1(X0,X1,sK7)
| r1_tarski(k10_relset_1(X1,sK7,X0,X2),sF203) )
| ~ spl206_54
| ~ spl206_63
| ~ spl206_105 ),
inference(resolution,[],[f7421,f8622]) ).
fof(f10528,plain,
( r1_xboole_0(sK9,sF202)
| ~ r1_tarski(sF202,sF203)
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63
| ~ spl206_66 ),
inference(resolution,[],[f8946,f7432]) ).
fof(f10533,plain,
( ~ m1_subset_1(sF201,k1_zfmisc_1(sK6))
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ spl206_55
| ~ spl206_171 ),
inference(resolution,[],[f8568,f7370]) ).
fof(f10534,plain,
( ~ m1_subset_1(sF201,sF205)
| ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ spl206_55
| ~ spl206_64
| ~ spl206_171 ),
inference(forward_demodulation,[],[f10533,f7415]) ).
fof(f10535,plain,
( ~ m1_subset_1(sK9,k1_zfmisc_1(sK7))
| ~ spl206_55
| ~ spl206_64
| ~ spl206_79
| ~ spl206_171 ),
inference(forward_subsumption_resolution,[],[f10534,f7589]) ).
fof(f10536,plain,
( ~ m1_subset_1(sK9,sF204)
| ~ spl206_55
| ~ spl206_63
| ~ spl206_64
| ~ spl206_79
| ~ spl206_171 ),
inference(forward_demodulation,[],[f10535,f7410]) ).
fof(f10537,plain,
( $false
| ~ spl206_54
| ~ spl206_55
| ~ spl206_63
| ~ spl206_64
| ~ spl206_79
| ~ spl206_171 ),
inference(forward_subsumption_resolution,[],[f10536,f7365]) ).
fof(f10538,plain,
( ~ spl206_54
| ~ spl206_55
| ~ spl206_63
| ~ spl206_64
| ~ spl206_79
| ~ spl206_171 ),
inference(avatar_contradiction_clause,[],[f10537]) ).
fof(f10541,plain,
( ~ spl206_172
| spl206_57
| ~ spl206_68
| ~ spl206_174 ),
inference(avatar_split_clause,[],[f9028,f8619,f7439,f7377,f8570]) ).
fof(f10552,plain,
( ~ spl206_56
| spl206_156
| ~ spl206_54
| ~ spl206_62
| ~ spl206_63
| ~ spl206_66 ),
inference(avatar_split_clause,[],[f10528,f7430,f7408,f7403,f7363,f8405,f7373]) ).
fof(f13025,plain,
( ~ r1_xboole_0(sK9,sF202)
| ~ m1_relset_1(sK10,sK6,sK7)
| r1_tarski(sF202,sF203)
| ~ spl206_54
| ~ spl206_61
| ~ spl206_63
| ~ spl206_105 ),
inference(superposition,[],[f10035,f7400]) ).
fof(f13027,plain,
( ~ r1_xboole_0(sK9,sF202)
| r1_tarski(sF202,sF203)
| ~ spl206_54
| ~ spl206_61
| ~ spl206_63
| ~ spl206_65
| ~ spl206_105 ),
inference(forward_subsumption_resolution,[],[f13025,f7427]) ).
fof(f13030,plain,
( ~ r1_xboole_0(sK9,sF202)
| ~ spl206_54
| spl206_56
| ~ spl206_61
| ~ spl206_63
| ~ spl206_65
| ~ spl206_105 ),
inference(forward_subsumption_resolution,[],[f13027,f7374]) ).
fof(f13032,plain,
( ~ spl206_156
| ~ spl206_54
| spl206_56
| ~ spl206_61
| ~ spl206_63
| ~ spl206_65
| ~ spl206_105 ),
inference(avatar_split_clause,[],[f13030,f7924,f7426,f7408,f7398,f7373,f7363,f8405]) ).
fof(f22321,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,sF201)
| r1_tarski(X0,k3_subset_1(sK6,X1))
| ~ r1_tarski(X1,sK8)
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK6))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK6)) )
| ~ spl206_60 ),
inference(superposition,[],[f7621,f7395]) ).
fof(f22341,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK8,sF205)
| ~ r1_tarski(X0,sF201)
| r1_tarski(X0,k3_subset_1(sK6,X1))
| ~ r1_tarski(X1,sK8)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK6)) )
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f22321,f7415]) ).
fof(f22363,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,sF201)
| r1_tarski(X0,k3_subset_1(sK6,X1))
| ~ r1_tarski(X1,sK8)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK6)) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_subsumption_resolution,[],[f22341,f7360]) ).
fof(f22374,plain,
( ! [X0,X1] :
( r1_tarski(X0,k3_subset_1(sK6,X1))
| ~ r1_tarski(X0,sF201)
| ~ m1_subset_1(X1,sF205)
| ~ r1_tarski(X1,sK8) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f22363,f7415]) ).
fof(f22377,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,sF201)
| ~ m1_subset_1(X1,sF205)
| ~ r1_tarski(X1,sK8)
| r1_xboole_0(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK6))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK6)) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(resolution,[],[f22374,f5749]) ).
fof(f22433,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF205)
| ~ r1_tarski(X0,sF201)
| ~ m1_subset_1(X1,sF205)
| ~ r1_tarski(X1,sK8)
| r1_xboole_0(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK6)) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f22377,f7415]) ).
fof(f22434,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF205)
| ~ r1_tarski(X0,sF201)
| ~ r1_tarski(X1,sK8)
| r1_xboole_0(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK6)) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(duplicate_literal_removal,[],[f22433]) ).
fof(f22445,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF205)
| ~ m1_subset_1(X0,sF205)
| ~ r1_tarski(X0,sF201)
| ~ r1_tarski(X1,sK8)
| r1_xboole_0(X0,X1) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64 ),
inference(forward_demodulation,[],[f22434,f7415]) ).
fof(f22841,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF205)
| ~ r1_tarski(X0,sF201)
| ~ r1_tarski(sF200,sK8)
| r1_xboole_0(X0,sF200) )
| ~ spl206_53
| ~ spl206_60
| ~ spl206_64
| ~ spl206_68 ),
inference(resolution,[],[f22445,f7441]) ).
fof(f22843,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF205)
| ~ r1_tarski(X0,sF201)
| r1_xboole_0(X0,sF200) )
| ~ spl206_53
| ~ spl206_57
| ~ spl206_60
| ~ spl206_64
| ~ spl206_68 ),
inference(forward_subsumption_resolution,[],[f22841,f7379]) ).
fof(f22867,plain,
( ~ r1_tarski(sF201,sF201)
| r1_xboole_0(sF201,sF200)
| ~ spl206_53
| ~ spl206_57
| ~ spl206_60
| ~ spl206_64
| ~ spl206_68
| ~ spl206_79 ),
inference(resolution,[],[f22843,f7589]) ).
fof(f22868,plain,
( r1_xboole_0(sF201,sF200)
| ~ spl206_53
| ~ spl206_57
| ~ spl206_60
| ~ spl206_64
| ~ spl206_68
| ~ spl206_79 ),
inference(forward_subsumption_resolution,[],[f22867,f5684]) ).
fof(f22876,plain,
( $false
| ~ spl206_53
| ~ spl206_57
| ~ spl206_60
| ~ spl206_64
| ~ spl206_68
| ~ spl206_79
| spl206_172 ),
inference(forward_subsumption_resolution,[],[f22868,f8572]) ).
fof(f22877,plain,
( ~ spl206_53
| ~ spl206_57
| ~ spl206_60
| ~ spl206_64
| ~ spl206_68
| ~ spl206_79
| spl206_172 ),
inference(avatar_contradiction_clause,[],[f22876]) ).
cnf(s56,plain,
spl206_53,
inference(sat_conversion,[],[f7361]) ).
cnf(s57,plain,
spl206_54,
inference(sat_conversion,[],[f7366]) ).
cnf(s58,plain,
spl206_55,
inference(sat_conversion,[],[f7371]) ).
cnf(s59,plain,
( spl206_56
| spl206_57 ),
inference(sat_conversion,[],[f7380]) ).
cnf(s60,plain,
( ~ spl206_56
| ~ spl206_57 ),
inference(sat_conversion,[],[f7381]) ).
cnf(s61,plain,
spl206_58,
inference(sat_conversion,[],[f7386]) ).
cnf(s62,plain,
spl206_59,
inference(sat_conversion,[],[f7391]) ).
cnf(s63,plain,
spl206_60,
inference(sat_conversion,[],[f7396]) ).
cnf(s64,plain,
spl206_61,
inference(sat_conversion,[],[f7401]) ).
cnf(s65,plain,
spl206_62,
inference(sat_conversion,[],[f7406]) ).
cnf(s66,plain,
spl206_63,
inference(sat_conversion,[],[f7411]) ).
cnf(s67,plain,
spl206_64,
inference(sat_conversion,[],[f7416]) ).
cnf(s68,plain,
( ~ spl206_61
| ~ spl206_63
| ~ spl206_65
| spl206_66 ),
inference(sat_conversion,[],[f7433]) ).
cnf(s69,plain,
( ~ spl206_59
| ~ spl206_64
| ~ spl206_67
| spl206_68 ),
inference(sat_conversion,[],[f7442]) ).
cnf(s76,plain,
( ~ spl206_58
| ~ spl206_65
| spl206_75 ),
inference(sat_conversion,[],[f7532]) ).
cnf(s83,plain,
( ~ spl206_58
| ~ spl206_65
| spl206_82 ),
inference(sat_conversion,[],[f7619]) ).
cnf(s84,plain,
( ~ spl206_53
| ~ spl206_60
| ~ spl206_64
| spl206_79 ),
inference(sat_conversion,[],[f7639]) ).
cnf(s85,plain,
( ~ spl206_54
| ~ spl206_62
| ~ spl206_63
| spl206_77 ),
inference(sat_conversion,[],[f7640]) ).
cnf(s87,plain,
( ~ spl206_54
| ~ spl206_62
| ~ spl206_63
| spl206_84 ),
inference(sat_conversion,[],[f7682]) ).
cnf(s101,plain,
( ~ spl206_61
| ~ spl206_65
| spl206_93 ),
inference(sat_conversion,[],[f7799]) ).
cnf(s104,plain,
( ~ spl206_59
| ~ spl206_67
| spl206_96 ),
inference(sat_conversion,[],[f7802]) ).
cnf(s105,plain,
( ~ spl206_55
| spl206_65 ),
inference(sat_conversion,[],[f7831]) ).
cnf(s106,plain,
( spl206_67
| ~ spl206_82 ),
inference(sat_conversion,[],[f7833]) ).
cnf(s114,plain,
( ~ spl206_63
| ~ spl206_77
| ~ spl206_84
| spl206_105 ),
inference(sat_conversion,[],[f7926]) ).
cnf(s182,plain,
( ~ spl206_75
| ~ spl206_93
| ~ spl206_96
| spl206_156
| spl206_171
| ~ spl206_172 ),
inference(sat_conversion,[],[f8573]) ).
cnf(s184,plain,
( ~ spl206_53
| ~ spl206_60
| ~ spl206_64
| ~ spl206_79
| spl206_174 ),
inference(sat_conversion,[],[f8621]) ).
cnf(s302,plain,
( ~ spl206_75
| ~ spl206_93
| ~ spl206_96
| ~ spl206_156
| spl206_171
| spl206_172 ),
inference(sat_conversion,[],[f9671]) ).
cnf(s372,plain,
( ~ spl206_54
| ~ spl206_55
| ~ spl206_63
| ~ spl206_64
| ~ spl206_79
| ~ spl206_171 ),
inference(sat_conversion,[],[f10538]) ).
cnf(s378,plain,
( spl206_57
| ~ spl206_68
| ~ spl206_172
| ~ spl206_174 ),
inference(sat_conversion,[],[f10541]) ).
cnf(s381,plain,
( ~ spl206_54
| ~ spl206_56
| ~ spl206_62
| ~ spl206_63
| ~ spl206_66
| spl206_156 ),
inference(sat_conversion,[],[f10552]) ).
cnf(s689,plain,
( ~ spl206_54
| spl206_56
| ~ spl206_61
| ~ spl206_63
| ~ spl206_65
| ~ spl206_105
| ~ spl206_156 ),
inference(sat_conversion,[],[f13032]) ).
cnf(s2073,plain,
( ~ spl206_53
| ~ spl206_57
| ~ spl206_60
| ~ spl206_64
| ~ spl206_68
| ~ spl206_79
| spl206_172 ),
inference(sat_conversion,[],[f22877]) ).
cnf(s2097,plain,
spl206_65,
inference(rat,[],[s105,s58]) ).
cnf(s2101,plain,
spl206_93,
inference(rat,[],[s101,s64,s2097]) ).
cnf(s2102,plain,
spl206_82,
inference(rat,[],[s83,s61,s2097]) ).
cnf(s2103,plain,
spl206_75,
inference(rat,[],[s76,s61,s2097]) ).
cnf(s2104,plain,
spl206_66,
inference(rat,[],[s68,s64,s66,s2097]) ).
cnf(s2113,plain,
spl206_67,
inference(rat,[],[s106,s2102]) ).
cnf(s2123,plain,
spl206_96,
inference(rat,[],[s104,s62,s2113]) ).
cnf(s2127,plain,
spl206_68,
inference(rat,[],[s69,s62,s67,s2113]) ).
cnf(s2175,plain,
spl206_84,
inference(rat,[],[s87,s65,s66,s57]) ).
cnf(s2176,plain,
spl206_77,
inference(rat,[],[s85,s65,s66,s57]) ).
cnf(s2191,plain,
spl206_105,
inference(rat,[],[s114,s2175,s66,s2176]) ).
cnf(s2206,plain,
spl206_79,
inference(rat,[],[s84,s63,s67,s56]) ).
cnf(s2227,plain,
spl206_174,
inference(rat,[],[s184,s56,s63,s67,s2206]) ).
cnf(s2229,plain,
~ spl206_171,
inference(rat,[],[s372,s57,s58,s67,s66,s2206]) ).
cnf(s2235,plain,
spl206_56,
inference(rat,[],[s2073,s182,s59,s689,s63,s67,s2127,s56,s2206,s2101,s2103,s2123,s2229,s64,s66,s2097,s57,s2191]) ).
cnf(s2236,plain,
spl206_156,
inference(rat,[],[s381,s57,s2104,s66,s65,s2235]) ).
cnf(s2238,plain,
~ spl206_57,
inference(rat,[],[s60,s2235]) ).
cnf(s2241,plain,
spl206_172,
inference(rat,[],[s302,s2229,s2123,s2103,s2101,s2236]) ).
cnf(s2244,plain,
$false,
inference(rat,[],[s378,s2227,s2127,s2241,s2238]) ).
fof(f22889,plain,
$false,
inference(avatar_sat_refutation,[],[s2244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU448+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 05:36:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.81/2.29 % (3105188)Detected formulas, will run a generic FOF schedule.
% 10.81/2.29 % (3105359)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1274937776:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.81/2.29 % (3105357)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=3816536609:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.81/2.29 % (3105355)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=3047095321:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.81/2.29 % (3105361)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1114726681:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.81/2.29 % (3105362)dis-21_1_sil=8000:lcm=predicate:random_seed=3479380461:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.81/2.29 % (3105358)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4282114388:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.81/2.29 % (3105353)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=3346529242:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.81/2.29 % (3105358)Instruction limit reached!
% 10.81/2.29 % (3105358)------------------------------
% 10.81/2.29 % (3105358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.29 % (3105358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.29 % (3105358)CaDiCaL version: 2.1.3
% 10.81/2.29 % (3105358)Termination reason: Instruction limit
% 10.81/2.29 % (3105358)Termination phase: Saturation
% 10.81/2.29 % (3105358)Time elapsed: 0.068 s
% 10.81/2.29 % (3105358)Peak memory usage: 94 MB
% 10.81/2.29 % (3105358)Instructions burned: 110 (million)
% 10.81/2.29 % (3105359)Instruction limit reached!
% 10.81/2.29 % (3105359)------------------------------
% 10.81/2.29 % (3105359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.29 % (3105359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.29 % (3105359)CaDiCaL version: 2.1.3
% 10.81/2.29 % (3105359)Termination reason: Instruction limit
% 10.81/2.29 % (3105359)Termination phase: Saturation
% 10.81/2.29 % (3105359)Time elapsed: 0.074 s
% 10.81/2.29 % (3105359)Peak memory usage: 94 MB
% 10.81/2.29 % (3105359)Instructions burned: 119 (million)
% 10.81/2.29 % (3105361)Instruction limit reached!
% 10.81/2.29 % (3105361)------------------------------
% 10.81/2.29 % (3105361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.29 % (3105361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.29 % (3105361)CaDiCaL version: 2.1.3
% 10.81/2.29 % (3105361)Termination reason: Instruction limit
% 10.81/2.29 % (3105361)Termination phase: Preprocessing 3
% 10.81/2.29 % (3105361)Time elapsed: 0.086 s
% 10.81/2.29 % (3105361)Peak memory usage: 94 MB
% 10.81/2.29 % (3105361)Instructions burned: 139 (million)
% 10.81/2.29 % (3105362)Instruction limit reached!
% 10.81/2.29 % (3105362)------------------------------
% 10.81/2.29 % (3105362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.29 % (3105362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.29 % (3105362)CaDiCaL version: 2.1.3
% 10.81/2.29 % (3105362)Termination reason: Instruction limit
% 10.81/2.29 % (3105362)Termination phase: Clausification
% 10.81/2.29 % (3105362)Time elapsed: 0.087 s
% 10.81/2.29 % (3105362)Peak memory usage: 94 MB
% 10.81/2.29 % (3105362)Instructions burned: 130 (million)
% 10.81/2.29 % (3105441)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3822624201:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.81/2.29 % (3105440)lrs+10_1_sil=8000:sp=occurrence:random_seed=1153781376:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.81/2.29 % (3105442)lrs+1011_1_sil=32000:sp=occurrence:random_seed=352796721:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.81/2.29 % (3105443)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=3431545531:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.81/2.29 % (3105441)Instruction limit reached!
% 14.32/2.86 % (3105441)------------------------------
% 14.32/2.86 % (3105441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.32/2.86 % (3105441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.86 % (3105441)CaDiCaL version: 2.1.3
% 14.32/2.86 % (3105441)Termination reason: Instruction limit
% 14.32/2.86 % (3105441)Termination phase: Saturation
% 14.32/2.86 % (3105441)Time elapsed: 0.088 s
% 14.32/2.86 % (3105441)Peak memory usage: 95 MB
% 14.32/2.86 % (3105441)Instructions burned: 158 (million)
% 14.32/2.86 % (3105442)Instruction limit reached!
% 14.32/2.86 % (3105442)------------------------------
% 14.32/2.86 % (3105442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.32/2.86 % (3105442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.86 % (3105442)CaDiCaL version: 2.1.3
% 14.32/2.86 % (3105442)Termination reason: Instruction limit
% 14.32/2.86 % (3105442)Termination phase: Saturation
% 14.32/2.86 % (3105442)Time elapsed: 0.118 s
% 14.32/2.86 % (3105442)Peak memory usage: 96 MB
% 14.32/2.86 % (3105442)Instructions burned: 326 (million)
% 14.32/2.86 % (3105443)Instruction limit reached!
% 14.32/2.86 % (3105443)------------------------------
% 14.32/2.86 % (3105443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.32/2.86 % (3105443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.86 % (3105443)CaDiCaL version: 2.1.3
% 14.32/2.86 % (3105443)Termination reason: Instruction limit
% 14.32/2.86 % (3105443)Termination phase: Property scanning
% 14.32/2.86 % (3105443)Time elapsed: 0.141 s
% 14.32/2.86 % (3105443)Peak memory usage: 98 MB
% 14.32/2.86 % (3105443)Instructions burned: 249 (million)
% 14.32/2.86 % (3105440)Instruction limit reached!
% 14.32/2.86 % (3105440)------------------------------
% 14.32/2.86 % (3105440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.32/2.86 % (3105440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.86 % (3105440)CaDiCaL version: 2.1.3
% 14.32/2.86 % (3105440)Termination reason: Instruction limit
% 14.32/2.86 % (3105440)Termination phase: Saturation
% 14.32/2.86 % (3105440)Time elapsed: 0.187 s
% 14.32/2.86 % (3105440)Peak memory usage: 98 MB
% 14.32/2.86 % (3105440)Instructions burned: 285 (million)
% 14.32/2.86 % (3105448)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2189664199:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.32/2.86 % (3105449)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1760885027:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 14.32/2.86 % (3105450)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=646311945:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.32/2.86 % (3105451)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3271600414:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 14.32/2.86 % (3105450)Instruction limit reached!
% 14.32/2.86 % (3105450)------------------------------
% 14.32/2.86 % (3105450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.32/2.86 % (3105450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.86 % (3105450)CaDiCaL version: 2.1.3
% 14.32/2.86 % (3105450)Termination reason: Instruction limit
% 14.32/2.86 % (3105450)Termination phase: Saturation
% 14.32/2.86 % (3105450)Time elapsed: 0.068 s
% 14.32/2.86 % (3105450)Peak memory usage: 94 MB
% 14.32/2.86 % (3105450)Instructions burned: 113 (million)
% 14.32/2.86 % (3105448)Instruction limit reached!
% 14.32/2.86 % (3105448)------------------------------
% 14.32/2.86 % (3105448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.32/2.86 % (3105448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.86 % (3105448)CaDiCaL version: 2.1.3
% 14.32/2.86 % (3105448)Termination reason: Instruction limit
% 14.32/2.86 % (3105448)Termination phase: Saturation
% 14.32/2.86 % (3105448)Time elapsed: 0.180 s
% 14.32/2.86 % (3105448)Peak memory usage: 97 MB
% 14.32/2.86 % (3105448)Instructions burned: 294 (million)
% 14.32/2.86 % (3105451)Instruction limit reached!
% 14.32/2.86 % (3105451)------------------------------
% 14.32/2.86 % (3105451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.32/2.86 % (3105451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.32/2.86 % (3105451)CaDiCaL version: 2.1.3
% 14.32/2.86 % (3105451)Termination reason: Instruction limit
% 69.13/10.44 % (3105451)Termination phase: Preprocessing 3
% 69.13/10.44 % (3105451)Time elapsed: 0.086 s
% 69.13/10.44 % (3105451)Peak memory usage: 96 MB
% 69.13/10.44 % (3105451)Instructions burned: 129 (million)
% 69.13/10.44 % (3105517)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2228935231:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 69.13/10.44 % (3105526)lrs+10_1_sil=8000:sp=occurrence:random_seed=489204804:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 69.13/10.44 % (3105517)Instruction limit reached!
% 69.13/10.44 % (3105517)------------------------------
% 69.13/10.44 % (3105517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.13/10.44 % (3105517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.13/10.44 % (3105517)CaDiCaL version: 2.1.3
% 69.13/10.44 % (3105517)Termination reason: Instruction limit
% 69.13/10.44 % (3105517)Termination phase: SInE selection
% 69.13/10.44 % (3105517)Time elapsed: 0.054 s
% 69.13/10.44 % (3105517)Peak memory usage: 89 MB
% 69.13/10.44 % (3105517)Instructions burned: 114 (million)
% 69.13/10.44 % (3105531)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3602943266:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 69.13/10.44 % (3105557)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3200680033:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 69.13/10.44 % (3105531)Instruction limit reached!
% 69.13/10.44 % (3105531)------------------------------
% 69.13/10.44 % (3105531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.13/10.44 % (3105531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.13/10.44 % (3105531)CaDiCaL version: 2.1.3
% 69.13/10.44 % (3105531)Termination reason: Instruction limit
% 69.13/10.44 % (3105531)Termination phase: Saturation
% 69.13/10.44 % (3105531)Time elapsed: 0.287 s
% 69.13/10.44 % (3105531)Peak memory usage: 99 MB
% 69.13/10.44 % (3105531)Instructions burned: 437 (million)
% 69.13/10.44 % (3105578)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=872261272:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 69.13/10.44 % (3105449)Instruction limit reached!
% 69.13/10.44 % (3105449)------------------------------
% 69.13/10.44 % (3105449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.13/10.44 % (3105449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.13/10.44 % (3105449)CaDiCaL version: 2.1.3
% 69.13/10.44 % (3105449)Termination reason: Instruction limit
% 69.13/10.44 % (3105449)Termination phase: Saturation
% 69.13/10.44 % (3105449)Time elapsed: 0.858 s
% 69.13/10.44 % (3105449)Peak memory usage: 198 MB
% 69.13/10.44 % (3105449)Instructions burned: 2353 (million)
% 69.13/10.44 % (3105578)Instruction limit reached!
% 69.13/10.44 % (3105578)------------------------------
% 69.13/10.44 % (3105578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.13/10.44 % (3105578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.13/10.44 % (3105578)CaDiCaL version: 2.1.3
% 69.13/10.44 % (3105578)Termination reason: Instruction limit
% 69.13/10.44 % (3105578)Termination phase: Saturation
% 69.13/10.44 % (3105578)Time elapsed: 0.115 s
% 69.13/10.44 % (3105578)Peak memory usage: 96 MB
% 69.13/10.44 % (3105578)Instructions burned: 136 (million)
% 69.13/10.44 % (3105526)Instruction limit reached!
% 69.13/10.44 % (3105526)------------------------------
% 69.13/10.44 % (3105526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.13/10.44 % (3105526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.13/10.44 % (3105526)CaDiCaL version: 2.1.3
% 69.13/10.44 % (3105526)Termination reason: Instruction limit
% 69.13/10.44 % (3105526)Termination phase: Saturation
% 69.13/10.44 % (3105526)Time elapsed: 0.623 s
% 69.13/10.44 % (3105526)Peak memory usage: 106 MB
% 69.13/10.44 % (3105526)Instructions burned: 908 (million)
% 69.13/10.44 % (3105580)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3721331774:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 69.13/10.44 % (3105581)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=636213768:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 69.13/10.44 % (3105582)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=1653590963:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 102.12/15.13 % (3105580)Instruction limit reached!
% 102.12/15.13 % (3105580)------------------------------
% 102.12/15.13 % (3105580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.12/15.13 % (3105580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.12/15.13 % (3105580)CaDiCaL version: 2.1.3
% 102.12/15.13 % (3105580)Termination reason: Instruction limit
% 102.12/15.13 % (3105580)Termination phase: Saturation
% 102.12/15.13 % (3105580)Time elapsed: 0.174 s
% 102.12/15.13 % (3105580)Peak memory usage: 106 MB
% 102.12/15.13 % (3105580)Instructions burned: 595 (million)
% 102.12/15.13 % (3105582)Instruction limit reached!
% 102.12/15.13 % (3105582)------------------------------
% 102.12/15.13 % (3105582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.12/15.13 % (3105582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.12/15.13 % (3105582)CaDiCaL version: 2.1.3
% 102.12/15.13 % (3105582)Termination reason: Instruction limit
% 102.12/15.13 % (3105582)Termination phase: General splitting
% 102.12/15.13 % (3105582)Time elapsed: 0.072 s
% 102.12/15.13 % (3105582)Peak memory usage: 92 MB
% 102.12/15.13 % (3105582)Instructions burned: 126 (million)
% 102.12/15.13 % (3105586)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2357743634:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 102.12/15.13 % (3105586)Instruction limit reached!
% 102.12/15.13 % (3105586)------------------------------
% 102.12/15.13 % (3105586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.12/15.13 % (3105586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.12/15.13 % (3105586)CaDiCaL version: 2.1.3
% 102.12/15.13 % (3105586)Termination reason: Instruction limit
% 102.12/15.13 % (3105586)Termination phase: Preprocessing 1
% 102.12/15.13 % (3105586)Time elapsed: 0.039 s
% 102.12/15.13 % (3105586)Peak memory usage: 90 MB
% 102.12/15.13 % (3105586)Instructions burned: 138 (million)
% 102.12/15.13 % (3105587)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1573504637:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 102.12/15.13 % (3105590)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3550452812:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 102.12/15.13 % (3105587)Instruction limit reached!
% 102.12/15.13 % (3105587)------------------------------
% 102.12/15.13 % (3105587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.12/15.13 % (3105587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.12/15.13 % (3105587)CaDiCaL version: 2.1.3
% 102.12/15.13 % (3105587)Termination reason: Instruction limit
% 102.12/15.13 % (3105587)Termination phase: Saturation
% 102.12/15.13 % (3105587)Time elapsed: 0.098 s
% 102.12/15.13 % (3105587)Peak memory usage: 95 MB
% 102.12/15.13 % (3105587)Instructions burned: 141 (million)
% 102.12/15.13 % (3105590)Instruction limit reached!
% 102.12/15.13 % (3105590)------------------------------
% 102.12/15.13 % (3105590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.12/15.13 % (3105590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.12/15.13 % (3105590)CaDiCaL version: 2.1.3
% 102.12/15.13 % (3105590)Termination reason: Instruction limit
% 102.12/15.13 % (3105590)Termination phase: Saturation
% 102.12/15.13 % (3105590)Time elapsed: 0.140 s
% 102.12/15.13 % (3105590)Peak memory usage: 97 MB
% 102.12/15.13 % (3105590)Instructions burned: 431 (million)
% 102.12/15.13 % (3105593)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=3346664828:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 102.12/15.13 % (3105594)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=3216108691:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 102.12/15.13 % (3105594)Instruction limit reached!
% 102.12/15.13 % (3105594)------------------------------
% 102.12/15.13 % (3105594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.12/15.13 % (3105594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.12/15.13 % (3105594)CaDiCaL version: 2.1.3
% 102.12/15.13 % (3105594)Termination reason: Instruction limit
% 102.12/15.13 % (3105594)Termination phase: Preprocessing 3
% 175.85/25.43 % (3105594)Time elapsed: 0.054 s
% 175.85/25.43 % (3105594)Peak memory usage: 97 MB
% 175.85/25.43 % (3105594)Instructions burned: 153 (million)
% 175.85/25.43 % (3105597)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3079032681:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 175.85/25.43 % (3105557)Instruction limit reached!
% 175.85/25.43 % (3105557)------------------------------
% 175.85/25.43 % (3105557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.85/25.43 % (3105557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.85/25.43 % (3105557)CaDiCaL version: 2.1.3
% 175.85/25.43 % (3105557)Termination reason: Instruction limit
% 175.85/25.43 % (3105557)Termination phase: Saturation
% 175.85/25.43 % (3105557)Time elapsed: 3.906 s
% 175.85/25.43 % (3105557)Peak memory usage: 165 MB
% 175.85/25.43 % (3105557)Instructions burned: 5202 (million)
% 175.85/25.43 % (3105636)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=79924030:i=667:av=off:fsr=off_2949 on theBenchmark for (2949ds/667Mi)
% 175.85/25.43 % (3105636)Instruction limit reached!
% 175.85/25.43 % (3105636)------------------------------
% 175.85/25.43 % (3105636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.85/25.43 % (3105636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.85/25.43 % (3105636)CaDiCaL version: 2.1.3
% 175.85/25.43 % (3105636)Termination reason: Instruction limit
% 175.85/25.43 % (3105636)Termination phase: Saturation
% 175.85/25.43 % (3105636)Time elapsed: 0.620 s
% 175.85/25.43 % (3105636)Peak memory usage: 107 MB
% 175.85/25.43 % (3105636)Instructions burned: 667 (million)
% 175.85/25.43 % (3105643)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=303638520:s2a=on:i=185:s2at=1.8:fdi=4_2941 on theBenchmark for (2941ds/185Mi)
% 175.85/25.43 % (3105643)Instruction limit reached!
% 175.85/25.43 % (3105643)------------------------------
% 175.85/25.43 % (3105643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.85/25.43 % (3105643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.85/25.43 % (3105643)CaDiCaL version: 2.1.3
% 175.85/25.43 % (3105643)Termination reason: Instruction limit
% 175.85/25.43 % (3105643)Termination phase: NewCNF
% 175.85/25.43 % (3105643)Time elapsed: 0.206 s
% 175.85/25.43 % (3105643)Peak memory usage: 98 MB
% 175.85/25.43 % (3105643)Instructions burned: 186 (million)
% 175.85/25.43 % (3105647)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1914441819:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2937 on theBenchmark for (2937ds/193Mi)
% 175.85/25.43 % (3105647)Instruction limit reached!
% 175.85/25.43 % (3105647)------------------------------
% 175.85/25.43 % (3105647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.85/25.43 % (3105647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.85/25.43 % (3105647)CaDiCaL version: 2.1.3
% 175.85/25.43 % (3105647)Termination reason: Instruction limit
% 175.85/25.43 % (3105647)Termination phase: Saturation
% 175.85/25.43 % (3105647)Time elapsed: 0.198 s
% 175.85/25.43 % (3105647)Peak memory usage: 98 MB
% 175.85/25.43 % (3105647)Instructions burned: 193 (million)
% 175.85/25.43 % (3105650)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4058793976:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2933 on theBenchmark for (2933ds/4850Mi)
% 175.85/25.43 % (3105593)Instruction limit reached!
% 175.85/25.43 % (3105593)------------------------------
% 175.85/25.43 % (3105593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.85/25.43 % (3105593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.85/25.43 % (3105593)CaDiCaL version: 2.1.3
% 175.85/25.43 % (3105593)Termination reason: Instruction limit
% 175.85/25.43 % (3105593)Termination phase: Saturation
% 175.85/25.43 % (3105593)Time elapsed: 5.322 s
% 175.85/25.43 % (3105593)Peak memory usage: 267 MB
% 175.85/25.43 % (3105593)Instructions burned: 6060 (million)
% 175.85/25.43 % (3105660)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=212243101:i=12111:sd=1:ss=included_2924 on theBenchmark for (2924ds/12111Mi)
% 175.85/25.43 % (3105597)Instruction limit reached!
% 175.85/25.43 % (3105597)------------------------------
% 175.85/25.43 % (3105597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.85/25.43 % (3105597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 224.13/32.29 % (3105597)CaDiCaL version: 2.1.3
% 224.13/32.29 % (3105597)Termination reason: Instruction limit
% 224.13/32.29 % (3105597)Termination phase: Saturation
% 224.13/32.29 % (3105597)Time elapsed: 7.487 s
% 224.13/32.29 % (3105597)Peak memory usage: 246 MB
% 224.13/32.29 % (3105597)Instructions burned: 14156 (million)
% 224.13/32.29 % (3105667)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3388735287:i=319:kws=precedence:fsr=off_2901 on theBenchmark for (2901ds/319Mi)
% 224.13/32.29 % (3105667)Instruction limit reached!
% 224.13/32.29 % (3105667)------------------------------
% 224.13/32.29 % (3105667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 224.13/32.29 % (3105667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 224.13/32.29 % (3105667)CaDiCaL version: 2.1.3
% 224.13/32.29 % (3105667)Termination reason: Instruction limit
% 224.13/32.29 % (3105667)Termination phase: Property scanning
% 224.13/32.29 % (3105667)Time elapsed: 0.188 s
% 224.13/32.29 % (3105667)Peak memory usage: 99 MB
% 224.13/32.29 % (3105667)Instructions burned: 320 (million)
% 224.13/32.29 % (3105669)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2250900073:i=2064:ep=RST_2898 on theBenchmark for (2898ds/2064Mi)
% 224.13/32.29 % (3105650)Instruction limit reached!
% 224.13/32.29 % (3105650)------------------------------
% 224.13/32.29 % (3105650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 224.13/32.29 % (3105650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 224.13/32.29 % (3105650)CaDiCaL version: 2.1.3
% 224.13/32.29 % (3105650)Termination reason: Instruction limit
% 224.13/32.29 % (3105650)Termination phase: Saturation
% 224.13/32.29 % (3105650)Time elapsed: 4.248 s
% 224.13/32.29 % (3105650)Peak memory usage: 134 MB
% 224.13/32.29 % (3105650)Instructions burned: 4850 (million)
% 224.13/32.29 % (3105673)dis-1011_128_sil=32000:random_seed=3656696213:i=3706:ep=RST:av=off_2888 on theBenchmark for (2888ds/3706Mi)
% 224.13/32.29 % (3105669)Instruction limit reached!
% 224.13/32.29 % (3105669)------------------------------
% 224.13/32.29 % (3105669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 224.13/32.29 % (3105669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 224.13/32.29 % (3105669)CaDiCaL version: 2.1.3
% 224.13/32.29 % (3105669)Termination reason: Instruction limit
% 224.13/32.29 % (3105669)Termination phase: Saturation
% 224.13/32.29 % (3105669)Time elapsed: 2.016 s
% 224.13/32.29 % (3105669)Peak memory usage: 128 MB
% 224.13/32.29 % (3105669)Instructions burned: 2064 (million)
% 224.13/32.29 % (3105678)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3846205909:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2875 on theBenchmark for (2875ds/757Mi)
% 224.13/32.29 % (3105678)Instruction limit reached!
% 224.13/32.29 % (3105678)------------------------------
% 224.13/32.29 % (3105678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 224.13/32.29 % (3105678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 224.13/32.29 % (3105678)CaDiCaL version: 2.1.3
% 224.13/32.29 % (3105678)Termination reason: Instruction limit
% 224.13/32.29 % (3105678)Termination phase: Saturation
% 224.13/32.29 % (3105678)Time elapsed: 0.861 s
% 224.13/32.29 % (3105678)Peak memory usage: 100 MB
% 224.13/32.29 % (3105678)Instructions burned: 757 (million)
% 224.13/32.29 % (3105683)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3751312819:i=13913:ss=axioms:sgt=8_2864 on theBenchmark for (2864ds/13913Mi)
% 224.13/32.29 % (3105673)Instruction limit reached!
% 224.13/32.29 % (3105673)------------------------------
% 224.13/32.29 % (3105673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 224.13/32.29 % (3105673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 224.13/32.29 % (3105673)CaDiCaL version: 2.1.3
% 224.13/32.29 % (3105673)Termination reason: Instruction limit
% 224.13/32.29 % (3105673)Termination phase: Saturation
% 224.13/32.29 % (3105673)Time elapsed: 2.749 s
% 224.13/32.29 % (3105673)Peak memory usage: 112 MB
% 224.13/32.29 % (3105673)Instructions burned: 3706 (million)
% 224.13/32.29 % (3105685)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=187947634:i=9925:aac=none_2859 on theBenchmark for (2859ds/9925Mi)
% 224.13/32.29 % (3105581)Instruction limit reached!
% 224.13/32.29 % (3105581)------------------------------
% 224.13/32.29 % (3105581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 224.13/32.29 % (3105581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105581)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105581)Termination reason: Instruction limit
% 136.73/38.82 % (3105581)Termination phase: Saturation
% 136.73/38.82 % (3105581)Time elapsed: 12.849 s
% 136.73/38.82 % (3105581)Peak memory usage: 233 MB
% 136.73/38.82 % (3105581)Instructions burned: 13194 (million)
% 136.73/38.82 % (3105687)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=680981505:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2854 on theBenchmark for (2854ds/2479Mi)
% 136.73/38.82 % (3105687)Instruction limit reached!
% 136.73/38.82 % (3105687)------------------------------
% 136.73/38.82 % (3105687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105687)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105687)Termination reason: Instruction limit
% 136.73/38.82 % (3105687)Termination phase: Saturation
% 136.73/38.82 % (3105687)Time elapsed: 2.691 s
% 136.73/38.82 % (3105687)Peak memory usage: 110 MB
% 136.73/38.82 % (3105687)Instructions burned: 2479 (million)
% 136.73/38.82 % (3105691)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2870516723:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2824 on theBenchmark for (2824ds/440Mi)
% 136.73/38.82 % (3105691)Instruction limit reached!
% 136.73/38.82 % (3105691)------------------------------
% 136.73/38.82 % (3105691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105691)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105691)Termination reason: Instruction limit
% 136.73/38.82 % (3105691)Termination phase: Property scanning
% 136.73/38.82 % (3105691)Time elapsed: 0.426 s
% 136.73/38.82 % (3105691)Peak memory usage: 102 MB
% 136.73/38.82 % (3105691)Instructions burned: 440 (million)
% 136.73/38.82 % (3105694)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1272632008:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2818 on theBenchmark for (2818ds/11145Mi)
% 136.73/38.82 % (3105660)Instruction limit reached!
% 136.73/38.82 % (3105660)------------------------------
% 136.73/38.82 % (3105660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105660)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105660)Termination reason: Instruction limit
% 136.73/38.82 % (3105660)Termination phase: Saturation
% 136.73/38.82 % (3105660)Time elapsed: 14.099 s
% 136.73/38.82 % (3105660)Peak memory usage: 228 MB
% 136.73/38.82 % (3105660)Instructions burned: 12111 (million)
% 136.73/38.82 % (3105703)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=78201319:cts=off:i=3034:av=off:er=known:fsd=on_2781 on theBenchmark for (2781ds/3034Mi)
% 136.73/38.82 % (3105685)Instruction limit reached!
% 136.73/38.82 % (3105685)------------------------------
% 136.73/38.82 % (3105685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105685)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105685)Termination reason: Instruction limit
% 136.73/38.82 % (3105685)Termination phase: Saturation
% 136.73/38.82 % (3105685)Time elapsed: 8.839 s
% 136.73/38.82 % (3105685)Peak memory usage: 228 MB
% 136.73/38.82 % (3105685)Instructions burned: 9925 (million)
% 136.73/38.82 % (3105707)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2766259841:st=2:s2a=on:i=524:s2at=2:ss=axioms_2768 on theBenchmark for (2768ds/524Mi)
% 136.73/38.82 % (3105707)Instruction limit reached!
% 136.73/38.82 % (3105707)------------------------------
% 136.73/38.82 % (3105707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105707)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105707)Termination reason: Instruction limit
% 136.73/38.82 % (3105707)Termination phase: Saturation
% 136.73/38.82 % (3105707)Time elapsed: 0.434 s
% 136.73/38.82 % (3105707)Peak memory usage: 102 MB
% 136.73/38.82 % (3105707)Instructions burned: 524 (million)
% 136.73/38.82 % (3105709)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3803760482:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2761 on theBenchmark for (2761ds/1016Mi)
% 136.73/38.82 % (3105709)Instruction limit reached!
% 136.73/38.82 % (3105709)------------------------------
% 136.73/38.82 % (3105709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105709)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105709)Termination reason: Instruction limit
% 136.73/38.82 % (3105709)Termination phase: Saturation
% 136.73/38.82 % (3105709)Time elapsed: 0.824 s
% 136.73/38.82 % (3105709)Peak memory usage: 106 MB
% 136.73/38.82 % (3105709)Instructions burned: 1017 (million)
% 136.73/38.82 % (3105715)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3009457671:i=14123:bd=preordered:ins=4_2751 on theBenchmark for (2751ds/14123Mi)
% 136.73/38.82 % (3105703)Instruction limit reached!
% 136.73/38.82 % (3105703)------------------------------
% 136.73/38.82 % (3105703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105703)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105703)Termination reason: Instruction limit
% 136.73/38.82 % (3105703)Termination phase: Saturation
% 136.73/38.82 % (3105703)Time elapsed: 3.021 s
% 136.73/38.82 % (3105703)Peak memory usage: 243 MB
% 136.73/38.82 % (3105703)Instructions burned: 3034 (million)
% 136.73/38.82 % (3105717)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=895440808:i=5781:kws=precedence:bd=all:rawr=on_2748 on theBenchmark for (2748ds/5781Mi)
% 136.73/38.82 % (3105683)Instruction limit reached!
% 136.73/38.82 % (3105683)------------------------------
% 136.73/38.82 % (3105683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105683)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105683)Termination reason: Instruction limit
% 136.73/38.82 % (3105683)Termination phase: Saturation
% 136.73/38.82 % (3105683)Time elapsed: 15.024 s
% 136.73/38.82 % (3105683)Peak memory usage: 231 MB
% 136.73/38.82 % (3105683)Instructions burned: 13914 (million)
% 136.73/38.82 % (3105724)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=1845166246:i=2448:gtgl=5:bd=preordered:gtg=all_2711 on theBenchmark for (2711ds/2448Mi)
% 136.73/38.82 % (3105694)Instruction limit reached!
% 136.73/38.82 % (3105694)------------------------------
% 136.73/38.82 % (3105694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105694)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105694)Termination reason: Instruction limit
% 136.73/38.82 % (3105694)Termination phase: Saturation
% 136.73/38.82 % (3105694)Time elapsed: 12.446 s
% 136.73/38.82 % (3105694)Peak memory usage: 223 MB
% 136.73/38.82 % (3105694)Instructions burned: 11145 (million)
% 136.73/38.82 % (3105717)Instruction limit reached!
% 136.73/38.82 % (3105717)------------------------------
% 136.73/38.82 % (3105717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105717)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105717)Termination reason: Instruction limit
% 136.73/38.82 % (3105717)Termination phase: Saturation
% 136.73/38.82 % (3105717)Time elapsed: 5.576 s
% 136.73/38.82 % (3105717)Peak memory usage: 112 MB
% 136.73/38.82 % (3105717)Instructions burned: 5782 (million)
% 136.73/38.82 % (3105727)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=820260960:i=3223:kws=precedence:fgj=on:av=off_2690 on theBenchmark for (2690ds/3223Mi)
% 136.73/38.82 % (3105728)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2117405706:st=5.6:i=2033:sd=3:ss=axioms_2690 on theBenchmark for (2690ds/2033Mi)
% 136.73/38.82 % (3105724)Instruction limit reached!
% 136.73/38.82 % (3105724)------------------------------
% 136.73/38.82 % (3105724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105724)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105724)Termination reason: Instruction limit
% 136.73/38.82 % (3105724)Termination phase: Saturation
% 136.73/38.82 % (3105724)Time elapsed: 2.394 s
% 136.73/38.82 % (3105724)Peak memory usage: 190 MB
% 136.73/38.82 % (3105724)Instructions burned: 2448 (million)
% 136.73/38.82 % (3105731)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1150366782:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2685 on theBenchmark for (2685ds/2055Mi)
% 136.73/38.82 % (3105728)Instruction limit reached!
% 136.73/38.82 % (3105728)------------------------------
% 136.73/38.82 % (3105728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105728)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105728)Termination reason: Instruction limit
% 136.73/38.82 % (3105728)Termination phase: Saturation
% 136.73/38.82 % (3105728)Time elapsed: 2.118 s
% 136.73/38.82 % (3105728)Peak memory usage: 204 MB
% 136.73/38.82 % (3105728)Instructions burned: 2033 (million)
% 136.73/38.82 % (3105737)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=2331970634:i=21611:sd=3:ss=axioms_2666 on theBenchmark for (2666ds/21611Mi)
% 136.73/38.82 % (3105731)Instruction limit reached!
% 136.73/38.82 % (3105731)------------------------------
% 136.73/38.82 % (3105731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105731)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105731)Termination reason: Instruction limit
% 136.73/38.82 % (3105731)Termination phase: Saturation
% 136.73/38.82 % (3105731)Time elapsed: 2.036 s
% 136.73/38.82 % (3105731)Peak memory usage: 151 MB
% 136.73/38.82 % (3105731)Instructions burned: 2055 (million)
% 136.73/38.82 % (3105739)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1852891451:i=4835:sd=13:ss=axioms:sgt=23_2662 on theBenchmark for (2662ds/4835Mi)
% 136.73/38.82 % (3105727)Instruction limit reached!
% 136.73/38.82 % (3105727)------------------------------
% 136.73/38.82 % (3105727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105727)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105727)Termination reason: Instruction limit
% 136.73/38.82 % (3105727)Termination phase: Saturation
% 136.73/38.82 % (3105727)Time elapsed: 3.465 s
% 136.73/38.82 % (3105727)Peak memory usage: 248 MB
% 136.73/38.82 % (3105727)Instructions burned: 3223 (million)
% 136.73/38.82 % (3105744)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=4201647203:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2653 on theBenchmark for (2653ds/797Mi)
% 136.73/38.82 % (3105744)Instruction limit reached!
% 136.73/38.82 % (3105744)------------------------------
% 136.73/38.82 % (3105744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105744)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105744)Termination reason: Instruction limit
% 136.73/38.82 % (3105744)Termination phase: Saturation
% 136.73/38.82 % (3105744)Time elapsed: 0.733 s
% 136.73/38.82 % (3105744)Peak memory usage: 104 MB
% 136.73/38.82 % (3105744)Instructions burned: 797 (million)
% 136.73/38.82 % (3105746)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1822405318:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2644 on theBenchmark for (2644ds/2326Mi)
% 136.73/38.82 % (3105737)First to succeed.
% 136.73/38.82 % (3105737)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3105188"
% 136.73/38.82 % (3105746)Instruction limit reached!
% 136.73/38.82 % (3105746)------------------------------
% 136.73/38.82 % (3105746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 136.73/38.82 % (3105746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 136.73/38.82 % (3105746)CaDiCaL version: 2.1.3
% 136.73/38.82 % (3105746)Termination reason: Instruction limit
% 136.73/38.82 % (3105746)Termination phase: Saturation
% 136.73/38.82 % (3105746)Time elapsed: 2.087 s
% 136.73/38.82 % (3105746)Peak memory usage: 118 MB
% 136.73/38.82 % (3105746)Instructions burned: 2326 (million)
% 136.73/38.82 % (3105752)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3426448111:i=6038:nm=6_2621 on theBenchmark for (2621ds/6038Mi)
% 136.73/38.82 % (3105737)Refutation found. Thanks to Tanya!
% 136.73/38.82 % SZS status Theorem for theBenchmark
% 136.73/38.82 % SZS output start Proof for theBenchmark
% See solution above
% 271.35/39.16 % (3105737)------------------------------
% 271.35/39.16 % (3105737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 271.35/39.16 % (3105737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 271.35/39.16 % (3105737)CaDiCaL version: 2.1.3
% 271.35/39.16 % (3105737)Termination reason: Refutation
% 271.35/39.16 % (3105737)Time elapsed: 4.108 s
% 271.35/39.16 % (3105737)Peak memory usage: 161 MB
% 271.35/39.16 % (3105737)Instructions burned: 3807 (million)
% 271.35/39.16 % (3105737)------------------------------
% 271.35/39.16 % (3105737)------------------------------
% 271.35/39.16 % (3105188)Success in time 38.206 s
% 271.35/39.16 % Vampire exiting
%------------------------------------------------------------------------------