%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU431+3 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:00 PM UTC 2026
% Result : Theorem 90.84s 25.04s
% Output : Refutation 165.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 47
% Syntax : Number of formulae : 323 ( 65 unt; 31 def)
% Number of atoms : 1920 ( 88 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 2922 (1325 ~;1447 |; 78 &)
% ( 40 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 24 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 13 con; 0-5 aty)
% Number of variables : 513 ( 0 sgn 485 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,axiom,
! [X0,X1] :
( X1 = k3_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f657,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( r2_hidden(X1,X0)
=> ( r2_hidden(X1,k8_setfam_1(X0,X2))
<=> ! [X3] :
( r2_hidden(X3,X2)
=> r2_hidden(X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_setfam_1) ).
fof(f668,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f669,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f674,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f1392,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(f19052,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X2)
& m2_relset_1(X3,X1,X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
=> ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_4_2_relset_2) ).
fof(f19065,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f19096,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
=> ! [X5] :
( r2_hidden(X5,X3)
=> r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_relset_2) ).
fof(f19097,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X5,X2)
=> r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relset_2) ).
fof(f19103,conjecture,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m2_relset_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( X4 = a_4_2_relset_2(X0,X1,X2,X3)
=> k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2) = k8_setfam_1(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_relset_2) ).
fof(f19104,negated_conjecture,
~ ! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m2_relset_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( X4 = a_4_2_relset_2(X0,X1,X2,X3)
=> k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2) = k8_setfam_1(X1,X4) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19103]) ).
fof(f19139,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k8_setfam_1(X1,X4) != k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2)
& X4 = a_4_2_relset_2(X0,X1,X2,X3)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& m2_relset_1(X2,X0,X1) )
& ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f19104]) ).
fof(f19140,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( k8_setfam_1(X1,X4) != k8_relset_2(X0,X1,k5_setfam_1(X0,X3),X2)
& X4 = a_4_2_relset_2(X0,X1,X2,X3)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
& m2_relset_1(X2,X0,X1) )
& ~ v1_xboole_0(X1) ),
inference(flattening,[],[f19139]) ).
fof(f19145,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f19168,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f669]) ).
fof(f19169,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f668]) ).
fof(f19196,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f674]) ).
fof(f19199,plain,
! [X0,X1,X2] :
( ( r2_hidden(X1,k8_setfam_1(X0,X2))
<=> ! [X3] :
( r2_hidden(X1,X3)
| ~ r2_hidden(X3,X2) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f657]) ).
fof(f19200,plain,
! [X0,X1,X2] :
( ( r2_hidden(X1,k8_setfam_1(X0,X2))
<=> ! [X3] :
( r2_hidden(X1,X3)
| ~ r2_hidden(X3,X2) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f19199]) ).
fof(f19202,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(ennf_transformation,[],[f19052]) ).
fof(f19203,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(flattening,[],[f19202]) ).
fof(f19207,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f19097]) ).
fof(f19208,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f19096]) ).
fof(f19209,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f19208]) ).
fof(f19210,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f19065]) ).
fof(f19211,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f19210]) ).
fof(f19216,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f19217,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f19216]) ).
fof(f19272,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f19757,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,[],[f1392]) ).
fof(f20646,plain,
( k8_setfam_1(sK32,sK35) != k8_relset_2(sK31,sK32,k5_setfam_1(sK31,sK34),sK33)
& sK35 = a_4_2_relset_2(sK31,sK32,sK33,sK34)
& m1_subset_1(sK35,k1_zfmisc_1(k1_zfmisc_1(sK32)))
& m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31)))
& m2_relset_1(sK33,sK31,sK32)
& ~ v1_xboole_0(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35]),skolemize(X0,sK31),skolemize(X1,sK32),skolemize(X2,sK33),skolemize(X3,sK34),skolemize(X4,sK35)],[f19140]) ).
fof(f20647,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f19145]) ).
fof(f20694,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X1,k8_setfam_1(X0,X2))
| ? [X3] :
( ~ r2_hidden(X1,X3)
& r2_hidden(X3,X2) ) )
& ( ! [X3] :
( r2_hidden(X1,X3)
| ~ r2_hidden(X3,X2) )
| ~ r2_hidden(X1,k8_setfam_1(X0,X2)) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(nnf_transformation,[],[f19200]) ).
fof(f20695,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X1,k8_setfam_1(X0,X2))
| ? [X3] :
( ~ r2_hidden(X1,X3)
& r2_hidden(X3,X2) ) )
& ( ! [X4] :
( r2_hidden(X1,X4)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(X1,k8_setfam_1(X0,X2)) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(rectify,[],[f20694]) ).
fof(f20696,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X1,k8_setfam_1(X0,X2))
| ( ~ r2_hidden(X1,sK62(X1,X2))
& r2_hidden(sK62(X1,X2),X2) ) )
& ( ! [X4] :
( r2_hidden(X1,X4)
| ~ r2_hidden(X4,X2) )
| ~ r2_hidden(X1,k8_setfam_1(X0,X2)) ) )
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X3,sK62(X1,X2))],[f20695]) ).
fof(f20698,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(X1))
& X0 = k8_relset_2(X1,X2,X5,X3)
& r2_hidden(X5,X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(nnf_transformation,[],[f19203]) ).
fof(f20699,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(X1))
& k8_relset_2(X1,X2,X6,X3) = X0
& r2_hidden(X6,X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(rectify,[],[f20698]) ).
fof(f20700,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ( m1_subset_1(sK64(X0,X1,X2,X3,X4),k1_zfmisc_1(X1))
& k8_relset_2(X1,X2,sK64(X0,X1,X2,X3,X4),X3) = X0
& r2_hidden(sK64(X0,X1,X2,X3,X4),X4) )
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(X6,sK64(X0,X1,X2,X3,X4))],[f20699]) ).
fof(f20701,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f19207]) ).
fof(f20702,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f20701]) ).
fof(f20703,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK65(X2,X3,X4))))
& r2_hidden(sK65(X2,X3,X4),X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X5,sK65(X2,X3,X4))],[f20702]) ).
fof(f20725,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f20726,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f20725]) ).
fof(f20727,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f19272]) ).
fof(f20728,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f20727]) ).
fof(f20729,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK76(X0,X1),X1)
& r2_hidden(sK76(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(X2,sK76(X0,X1))],[f20728]) ).
fof(f20740,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f20741,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X4] :
( r2_hidden(X2,X4)
& r2_hidden(X4,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ? [X7] :
( r2_hidden(X5,X7)
& r2_hidden(X7,X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(rectify,[],[f20740]) ).
fof(f20742,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK85(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK85(X0,X1),X1) )
& ( ( r2_hidden(sK85(X0,X1),sK86(X0,X1))
& r2_hidden(sK86(X0,X1),X0) )
| r2_hidden(sK85(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK87(X0,X5))
& r2_hidden(sK87(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85,sK86,sK87]),skolemize(X2,sK85(X0,X1)),skolemize(X4,sK86(X0,X1)),skolemize(X7,sK87(X0,X5))],[f20741]) ).
fof(f21238,plain,
~ v1_xboole_0(sK32),
inference(cnf_transformation,[],[f20646]) ).
fof(f21239,plain,
m2_relset_1(sK33,sK31,sK32),
inference(cnf_transformation,[],[f20646]) ).
fof(f21240,plain,
m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))),
inference(cnf_transformation,[],[f20646]) ).
fof(f21241,plain,
m1_subset_1(sK35,k1_zfmisc_1(k1_zfmisc_1(sK32))),
inference(cnf_transformation,[],[f20646]) ).
fof(f21242,plain,
sK35 = a_4_2_relset_2(sK31,sK32,sK33,sK34),
inference(cnf_transformation,[],[f20646]) ).
fof(f21243,plain,
k8_setfam_1(sK32,sK35) != k8_relset_2(sK31,sK32,k5_setfam_1(sK31,sK34),sK33),
inference(cnf_transformation,[],[f20646]) ).
fof(f21249,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f20647]) ).
fof(f21330,plain,
! [X0,X1] :
( k3_tarski(X1) = k5_setfam_1(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f19168]) ).
fof(f21331,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f19169]) ).
fof(f21356,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f19196]) ).
fof(f21358,plain,
! [X2,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X1,k8_setfam_1(X0,X2))
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,X4) ),
inference(cnf_transformation,[],[f20696]) ).
fof(f21359,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(sK62(X1,X2),X2)
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k8_setfam_1(X0,X2)) ),
inference(cnf_transformation,[],[f20696]) ).
fof(f21360,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r2_hidden(X1,sK62(X1,X2))
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k8_setfam_1(X0,X2)) ),
inference(cnf_transformation,[],[f20696]) ).
fof(f21364,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK64(X0,X1,X2,X3,X4),X4)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f20700]) ).
fof(f21365,plain,
! [X2,X3,X0,X1,X4] :
( k8_relset_2(X1,X2,sK64(X0,X1,X2,X3,X4),X3) = X0
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f20700]) ).
fof(f21366,plain,
! [X2,X3,X0,X1,X4] :
( m1_subset_1(sK64(X0,X1,X2,X3,X4),k1_zfmisc_1(X1))
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f20700]) ).
fof(f21367,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| k8_relset_2(X1,X2,X5,X3) != X0
| ~ r2_hidden(X5,X4)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f20700]) ).
fof(f21371,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| r2_hidden(sK65(X2,X3,X4),X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f20703]) ).
fof(f21372,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK65(X2,X3,X4))))
| r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f20703]) ).
fof(f21373,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ r2_hidden(X5,X3)
| r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f19209]) ).
fof(f21374,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f19211]) ).
fof(f21379,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f19217]) ).
fof(f21454,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f20726]) ).
fof(f21457,plain,
! [X0,X1] :
( r2_hidden(sK76(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f20729]) ).
fof(f21458,plain,
! [X0,X1] :
( ~ r2_hidden(sK76(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f20729]) ).
fof(f21490,plain,
! [X0,X1,X5] :
( r2_hidden(sK87(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f20742]) ).
fof(f21491,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK87(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f20742]) ).
fof(f21492,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f20742]) ).
fof(f22292,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,[],[f19757]) ).
fof(f23515,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k8_relset_2(X1,X2,X5,X3),a_4_2_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ r2_hidden(X5,X4)
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(equality_resolution,[],[f21367]) ).
fof(f23526,plain,
! [X0,X6,X5] :
( r2_hidden(X5,k3_tarski(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f21492]) ).
fof(f23527,plain,
! [X0,X5] :
( r2_hidden(X5,sK87(X0,X5))
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f21491]) ).
fof(f23528,plain,
! [X0,X5] :
( r2_hidden(sK87(X0,X5),X0)
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f21490]) ).
fof(f23684,definition,
sF420 = k8_setfam_1(sK32,sK35),
introduced(definition,[new_symbols(definition,[sF420])],[function_definition]) ).
fof(f23685,plain,
k8_setfam_1(sK32,sK35) = sF420,
inference(reorient_equations,[],[f23684]) ).
fof(f23686,definition,
sF421 = k5_setfam_1(sK31,sK34),
introduced(definition,[new_symbols(definition,[sF421])],[function_definition]) ).
fof(f23687,plain,
k5_setfam_1(sK31,sK34) = sF421,
inference(reorient_equations,[],[f23686]) ).
fof(f23688,definition,
sF422 = k8_relset_2(sK31,sK32,sF421,sK33),
introduced(definition,[new_symbols(definition,[sF422])],[function_definition]) ).
fof(f23689,plain,
k8_relset_2(sK31,sK32,sF421,sK33) = sF422,
inference(reorient_equations,[],[f23688]) ).
fof(f23690,plain,
sF420 != sF422,
inference(definition_folding,[],[f21243,f23689,f23687,f23685]) ).
fof(f23691,definition,
sF423 = a_4_2_relset_2(sK31,sK32,sK33,sK34),
introduced(definition,[new_symbols(definition,[sF423])],[function_definition]) ).
fof(f23692,plain,
a_4_2_relset_2(sK31,sK32,sK33,sK34) = sF423,
inference(reorient_equations,[],[f23691]) ).
fof(f23693,plain,
sK35 = sF423,
inference(definition_folding,[],[f21242,f23692]) ).
fof(f23694,definition,
sF424 = k1_zfmisc_1(sK32),
introduced(definition,[new_symbols(definition,[sF424])],[function_definition]) ).
fof(f23695,plain,
k1_zfmisc_1(sK32) = sF424,
inference(reorient_equations,[],[f23694]) ).
fof(f23696,definition,
sF425 = k1_zfmisc_1(sF424),
introduced(definition,[new_symbols(definition,[sF425])],[function_definition]) ).
fof(f23697,plain,
k1_zfmisc_1(sF424) = sF425,
inference(reorient_equations,[],[f23696]) ).
fof(f23698,plain,
m1_subset_1(sK35,sF425),
inference(definition_folding,[],[f21241,f23697,f23695]) ).
fof(f23699,definition,
sF426 = k1_zfmisc_1(sK31),
introduced(definition,[new_symbols(definition,[sF426])],[function_definition]) ).
fof(f23700,plain,
k1_zfmisc_1(sK31) = sF426,
inference(reorient_equations,[],[f23699]) ).
fof(f23701,definition,
sF427 = k1_zfmisc_1(sF426),
introduced(definition,[new_symbols(definition,[sF427])],[function_definition]) ).
fof(f23702,plain,
k1_zfmisc_1(sF426) = sF427,
inference(reorient_equations,[],[f23701]) ).
fof(f23703,plain,
m1_subset_1(sK34,sF427),
inference(definition_folding,[],[f21240,f23702,f23700]) ).
fof(f24294,definition,
( spl428_116
<=> v1_xboole_0(sK32) ),
introduced(definition,[new_symbols(definition,[spl428_116])],[avatar_definition]) ).
fof(f24296,plain,
( ~ v1_xboole_0(sK32)
| spl428_116 ),
inference(avatar_component_clause,[],[f24294]) ).
fof(f24297,plain,
~ spl428_116,
inference(avatar_split_clause,[],[f21238,f24294]) ).
fof(f24299,definition,
( spl428_117
<=> m2_relset_1(sK33,sK31,sK32) ),
introduced(definition,[new_symbols(definition,[spl428_117])],[avatar_definition]) ).
fof(f24301,plain,
( m2_relset_1(sK33,sK31,sK32)
| ~ spl428_117 ),
inference(avatar_component_clause,[],[f24299]) ).
fof(f24302,plain,
spl428_117,
inference(avatar_split_clause,[],[f21239,f24299]) ).
fof(f24304,definition,
( spl428_118
<=> m1_subset_1(sK34,sF427) ),
introduced(definition,[new_symbols(definition,[spl428_118])],[avatar_definition]) ).
fof(f24306,plain,
( m1_subset_1(sK34,sF427)
| ~ spl428_118 ),
inference(avatar_component_clause,[],[f24304]) ).
fof(f24307,plain,
spl428_118,
inference(avatar_split_clause,[],[f23703,f24304]) ).
fof(f24309,definition,
( spl428_119
<=> m1_subset_1(sK35,sF425) ),
introduced(definition,[new_symbols(definition,[spl428_119])],[avatar_definition]) ).
fof(f24311,plain,
( m1_subset_1(sK35,sF425)
| ~ spl428_119 ),
inference(avatar_component_clause,[],[f24309]) ).
fof(f24312,plain,
spl428_119,
inference(avatar_split_clause,[],[f23698,f24309]) ).
fof(f24314,definition,
( spl428_120
<=> sK35 = sF423 ),
introduced(definition,[new_symbols(definition,[spl428_120])],[avatar_definition]) ).
fof(f24316,plain,
( sK35 = sF423
| ~ spl428_120 ),
inference(avatar_component_clause,[],[f24314]) ).
fof(f24317,plain,
spl428_120,
inference(avatar_split_clause,[],[f23693,f24314]) ).
fof(f24319,definition,
( spl428_121
<=> sF420 = sF422 ),
introduced(definition,[new_symbols(definition,[spl428_121])],[avatar_definition]) ).
fof(f24321,plain,
( sF420 != sF422
| spl428_121 ),
inference(avatar_component_clause,[],[f24319]) ).
fof(f24322,plain,
~ spl428_121,
inference(avatar_split_clause,[],[f23690,f24319]) ).
fof(f24324,definition,
( spl428_122
<=> k8_setfam_1(sK32,sK35) = sF420 ),
introduced(definition,[new_symbols(definition,[spl428_122])],[avatar_definition]) ).
fof(f24326,plain,
( k8_setfam_1(sK32,sK35) = sF420
| ~ spl428_122 ),
inference(avatar_component_clause,[],[f24324]) ).
fof(f24327,plain,
spl428_122,
inference(avatar_split_clause,[],[f23685,f24324]) ).
fof(f24329,definition,
( spl428_123
<=> k5_setfam_1(sK31,sK34) = sF421 ),
introduced(definition,[new_symbols(definition,[spl428_123])],[avatar_definition]) ).
fof(f24331,plain,
( k5_setfam_1(sK31,sK34) = sF421
| ~ spl428_123 ),
inference(avatar_component_clause,[],[f24329]) ).
fof(f24332,plain,
spl428_123,
inference(avatar_split_clause,[],[f23687,f24329]) ).
fof(f24334,definition,
( spl428_124
<=> k8_relset_2(sK31,sK32,sF421,sK33) = sF422 ),
introduced(definition,[new_symbols(definition,[spl428_124])],[avatar_definition]) ).
fof(f24336,plain,
( k8_relset_2(sK31,sK32,sF421,sK33) = sF422
| ~ spl428_124 ),
inference(avatar_component_clause,[],[f24334]) ).
fof(f24337,plain,
spl428_124,
inference(avatar_split_clause,[],[f23689,f24334]) ).
fof(f24339,definition,
( spl428_125
<=> a_4_2_relset_2(sK31,sK32,sK33,sK34) = sF423 ),
introduced(definition,[new_symbols(definition,[spl428_125])],[avatar_definition]) ).
fof(f24341,plain,
( a_4_2_relset_2(sK31,sK32,sK33,sK34) = sF423
| ~ spl428_125 ),
inference(avatar_component_clause,[],[f24339]) ).
fof(f24342,plain,
spl428_125,
inference(avatar_split_clause,[],[f23692,f24339]) ).
fof(f24344,definition,
( spl428_126
<=> k1_zfmisc_1(sK32) = sF424 ),
introduced(definition,[new_symbols(definition,[spl428_126])],[avatar_definition]) ).
fof(f24346,plain,
( k1_zfmisc_1(sK32) = sF424
| ~ spl428_126 ),
inference(avatar_component_clause,[],[f24344]) ).
fof(f24347,plain,
spl428_126,
inference(avatar_split_clause,[],[f23695,f24344]) ).
fof(f24349,definition,
( spl428_127
<=> k1_zfmisc_1(sF424) = sF425 ),
introduced(definition,[new_symbols(definition,[spl428_127])],[avatar_definition]) ).
fof(f24351,plain,
( k1_zfmisc_1(sF424) = sF425
| ~ spl428_127 ),
inference(avatar_component_clause,[],[f24349]) ).
fof(f24352,plain,
spl428_127,
inference(avatar_split_clause,[],[f23697,f24349]) ).
fof(f24354,definition,
( spl428_128
<=> k1_zfmisc_1(sK31) = sF426 ),
introduced(definition,[new_symbols(definition,[spl428_128])],[avatar_definition]) ).
fof(f24356,plain,
( k1_zfmisc_1(sK31) = sF426
| ~ spl428_128 ),
inference(avatar_component_clause,[],[f24354]) ).
fof(f24357,plain,
spl428_128,
inference(avatar_split_clause,[],[f23700,f24354]) ).
fof(f24359,definition,
( spl428_129
<=> k1_zfmisc_1(sF426) = sF427 ),
introduced(definition,[new_symbols(definition,[spl428_129])],[avatar_definition]) ).
fof(f24361,plain,
( k1_zfmisc_1(sF426) = sF427
| ~ spl428_129 ),
inference(avatar_component_clause,[],[f24359]) ).
fof(f24362,plain,
spl428_129,
inference(avatar_split_clause,[],[f23702,f24359]) ).
fof(f24363,plain,
( m1_subset_1(sF422,k1_zfmisc_1(sK32))
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31))
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32)))
| ~ spl428_124 ),
inference(superposition,[],[f21374,f24336]) ).
fof(f24365,definition,
( spl428_130
<=> m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32))) ),
introduced(definition,[new_symbols(definition,[spl428_130])],[avatar_definition]) ).
fof(f24366,plain,
( m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32)))
| ~ spl428_130 ),
inference(avatar_component_clause,[],[f24365]) ).
fof(f24367,plain,
( ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32)))
| spl428_130 ),
inference(avatar_component_clause,[],[f24365]) ).
fof(f24369,definition,
( spl428_131
<=> m1_subset_1(sF421,k1_zfmisc_1(sK31)) ),
introduced(definition,[new_symbols(definition,[spl428_131])],[avatar_definition]) ).
fof(f24373,definition,
( spl428_132
<=> m1_subset_1(sF422,k1_zfmisc_1(sK32)) ),
introduced(definition,[new_symbols(definition,[spl428_132])],[avatar_definition]) ).
fof(f24375,plain,
( m1_subset_1(sF422,k1_zfmisc_1(sK32))
| ~ spl428_132 ),
inference(avatar_component_clause,[],[f24373]) ).
fof(f24376,plain,
( ~ spl428_130
| ~ spl428_131
| spl428_132
| ~ spl428_124 ),
inference(avatar_split_clause,[],[f24363,f24334,f24373,f24369,f24365]) ).
fof(f24388,plain,
( m1_subset_1(sF420,k1_zfmisc_1(sK32))
| ~ m1_subset_1(sK35,k1_zfmisc_1(k1_zfmisc_1(sK32)))
| ~ spl428_122 ),
inference(superposition,[],[f21356,f24326]) ).
fof(f24395,plain,
( m1_subset_1(sF420,sF424)
| ~ m1_subset_1(sK35,k1_zfmisc_1(k1_zfmisc_1(sK32)))
| ~ spl428_122
| ~ spl428_126 ),
inference(forward_demodulation,[],[f24388,f24346]) ).
fof(f24396,plain,
( ~ m1_subset_1(sK35,k1_zfmisc_1(sF424))
| m1_subset_1(sF420,sF424)
| ~ spl428_122
| ~ spl428_126 ),
inference(forward_demodulation,[],[f24395,f24346]) ).
fof(f24397,plain,
( ~ m1_subset_1(sK35,sF425)
| m1_subset_1(sF420,sF424)
| ~ spl428_122
| ~ spl428_126
| ~ spl428_127 ),
inference(forward_demodulation,[],[f24396,f24351]) ).
fof(f24398,plain,
( m1_subset_1(sF420,sF424)
| ~ spl428_119
| ~ spl428_122
| ~ spl428_126
| ~ spl428_127 ),
inference(forward_subsumption_resolution,[],[f24397,f24311]) ).
fof(f24400,definition,
( spl428_134
<=> m1_subset_1(sF420,sF424) ),
introduced(definition,[new_symbols(definition,[spl428_134])],[avatar_definition]) ).
fof(f24402,plain,
( m1_subset_1(sF420,sF424)
| ~ spl428_134 ),
inference(avatar_component_clause,[],[f24400]) ).
fof(f24403,plain,
( spl428_134
| ~ spl428_119
| ~ spl428_122
| ~ spl428_126
| ~ spl428_127 ),
inference(avatar_split_clause,[],[f24398,f24349,f24344,f24324,f24309,f24400]) ).
fof(f24405,plain,
( sF421 = k3_tarski(sK34)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31)))
| ~ spl428_123 ),
inference(superposition,[],[f24331,f21330]) ).
fof(f24406,plain,
( ~ m1_subset_1(sK34,k1_zfmisc_1(sF426))
| sF421 = k3_tarski(sK34)
| ~ spl428_123
| ~ spl428_128 ),
inference(forward_demodulation,[],[f24405,f24356]) ).
fof(f24408,plain,
( ~ m1_subset_1(sK34,sF427)
| sF421 = k3_tarski(sK34)
| ~ spl428_123
| ~ spl428_128
| ~ spl428_129 ),
inference(forward_demodulation,[],[f24406,f24361]) ).
fof(f24410,plain,
( sF421 = k3_tarski(sK34)
| ~ spl428_118
| ~ spl428_123
| ~ spl428_128
| ~ spl428_129 ),
inference(forward_subsumption_resolution,[],[f24408,f24306]) ).
fof(f24413,definition,
( spl428_135
<=> sF421 = k3_tarski(sK34) ),
introduced(definition,[new_symbols(definition,[spl428_135])],[avatar_definition]) ).
fof(f24415,plain,
( sF421 = k3_tarski(sK34)
| ~ spl428_135 ),
inference(avatar_component_clause,[],[f24413]) ).
fof(f24416,plain,
( spl428_135
| ~ spl428_118
| ~ spl428_123
| ~ spl428_128
| ~ spl428_129 ),
inference(avatar_split_clause,[],[f24410,f24359,f24354,f24329,f24304,f24413]) ).
fof(f24419,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK31,sK32,X0,sK33),sF423)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK31))
| ~ r2_hidden(X0,sK34)
| v1_xboole_0(sK32)
| ~ m2_relset_1(sK33,sK31,sK32)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| ~ spl428_125 ),
inference(superposition,[],[f23515,f24341]) ).
fof(f24421,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK31,sK32,X0,sK33),sF423)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK31))
| ~ r2_hidden(X0,sK34)
| ~ m2_relset_1(sK33,sK31,sK32)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| spl428_116
| ~ spl428_125 ),
inference(forward_subsumption_resolution,[],[f24419,f24296]) ).
fof(f24423,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK31,sK32,X0,sK33),sF423)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK31))
| ~ r2_hidden(X0,sK34)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| spl428_116
| ~ spl428_117
| ~ spl428_125 ),
inference(forward_subsumption_resolution,[],[f24421,f24301]) ).
fof(f24425,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK31,sK32,X0,sK33),sK35)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK31))
| ~ r2_hidden(X0,sK34)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| spl428_116
| ~ spl428_117
| ~ spl428_120
| ~ spl428_125 ),
inference(forward_demodulation,[],[f24423,f24316]) ).
fof(f24427,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF426)
| r2_hidden(k8_relset_2(sK31,sK32,X0,sK33),sK35)
| ~ r2_hidden(X0,sK34)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| spl428_116
| ~ spl428_117
| ~ spl428_120
| ~ spl428_125
| ~ spl428_128 ),
inference(forward_demodulation,[],[f24425,f24356]) ).
fof(f24429,plain,
( ! [X0] :
( ~ m1_subset_1(sK34,k1_zfmisc_1(sF426))
| ~ m1_subset_1(X0,sF426)
| r2_hidden(k8_relset_2(sK31,sK32,X0,sK33),sK35)
| ~ r2_hidden(X0,sK34) )
| spl428_116
| ~ spl428_117
| ~ spl428_120
| ~ spl428_125
| ~ spl428_128 ),
inference(forward_demodulation,[],[f24427,f24356]) ).
fof(f24431,plain,
( ! [X0] :
( ~ m1_subset_1(sK34,sF427)
| ~ m1_subset_1(X0,sF426)
| r2_hidden(k8_relset_2(sK31,sK32,X0,sK33),sK35)
| ~ r2_hidden(X0,sK34) )
| spl428_116
| ~ spl428_117
| ~ spl428_120
| ~ spl428_125
| ~ spl428_128
| ~ spl428_129 ),
inference(forward_demodulation,[],[f24429,f24361]) ).
fof(f24433,definition,
( spl428_136
<=> m1_subset_1(sF421,sF426) ),
introduced(definition,[new_symbols(definition,[spl428_136])],[avatar_definition]) ).
fof(f24434,plain,
( m1_subset_1(sF421,sF426)
| ~ spl428_136 ),
inference(avatar_component_clause,[],[f24433]) ).
fof(f24440,plain,
( ! [X0] :
( r2_hidden(k8_relset_2(sK31,sK32,X0,sK33),sK35)
| ~ m1_subset_1(X0,sF426)
| ~ r2_hidden(X0,sK34) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_120
| ~ spl428_125
| ~ spl428_128
| ~ spl428_129 ),
inference(forward_subsumption_resolution,[],[f24431,f24306]) ).
fof(f24460,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF424)
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,sK32) )
| ~ spl428_126 ),
inference(superposition,[],[f21379,f24346]) ).
fof(f24462,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF427)
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,sF426) )
| ~ spl428_129 ),
inference(superposition,[],[f21379,f24361]) ).
fof(f24463,plain,
( ~ m2_relset_1(sK33,sK31,sK32)
| spl428_130 ),
inference(resolution,[],[f24367,f22292]) ).
fof(f24464,plain,
( $false
| ~ spl428_117
| spl428_130 ),
inference(forward_subsumption_resolution,[],[f24463,f24301]) ).
fof(f24465,plain,
( ~ spl428_117
| spl428_130 ),
inference(avatar_contradiction_clause,[],[f24464]) ).
fof(f24470,plain,
( m1_subset_1(sF421,k1_zfmisc_1(sK31))
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31)))
| ~ spl428_123 ),
inference(superposition,[],[f21331,f24331]) ).
fof(f24479,plain,
( m1_subset_1(sF421,sF426)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31)))
| ~ spl428_123
| ~ spl428_128 ),
inference(forward_demodulation,[],[f24470,f24356]) ).
fof(f24485,plain,
( k1_zfmisc_1(sK31) != sF426
| m1_subset_1(sF421,k1_zfmisc_1(sK31))
| ~ m1_subset_1(sF421,sF426) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f24487,plain,
( m1_subset_1(sF422,sF424)
| ~ spl428_126
| ~ spl428_132 ),
inference(forward_demodulation,[],[f24375,f24346]) ).
fof(f24488,plain,
( ~ m1_subset_1(sK34,k1_zfmisc_1(sF426))
| m1_subset_1(sF421,sF426)
| ~ spl428_123
| ~ spl428_128 ),
inference(forward_demodulation,[],[f24479,f24356]) ).
fof(f24491,definition,
( spl428_140
<=> m1_subset_1(sF422,sF424) ),
introduced(definition,[new_symbols(definition,[spl428_140])],[avatar_definition]) ).
fof(f24493,plain,
( m1_subset_1(sF422,sF424)
| ~ spl428_140 ),
inference(avatar_component_clause,[],[f24491]) ).
fof(f24494,plain,
( spl428_140
| ~ spl428_126
| ~ spl428_132 ),
inference(avatar_split_clause,[],[f24487,f24373,f24344,f24491]) ).
fof(f24495,plain,
( ~ m1_subset_1(sK34,sF427)
| m1_subset_1(sF421,sF426)
| ~ spl428_123
| ~ spl428_128
| ~ spl428_129 ),
inference(forward_demodulation,[],[f24488,f24361]) ).
fof(f24496,plain,
( m1_subset_1(sF421,sF426)
| ~ spl428_118
| ~ spl428_123
| ~ spl428_128
| ~ spl428_129 ),
inference(forward_subsumption_resolution,[],[f24495,f24306]) ).
fof(f24497,plain,
( spl428_136
| ~ spl428_118
| ~ spl428_123
| ~ spl428_128
| ~ spl428_129 ),
inference(avatar_split_clause,[],[f24496,f24359,f24354,f24329,f24304,f24433]) ).
fof(f24624,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sF421)
| r2_hidden(X0,k9_relat_1(sK33,k1_tarski(X1)))
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32)))
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31)) )
| ~ spl428_124 ),
inference(superposition,[],[f21373,f24336]) ).
fof(f24627,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sF421)
| r2_hidden(X0,k9_relat_1(sK33,k1_tarski(X1)))
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31)) )
| ~ spl428_124
| ~ spl428_130 ),
inference(forward_subsumption_resolution,[],[f24624,f24366]) ).
fof(f24629,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF421,sF426)
| ~ r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sF421)
| r2_hidden(X0,k9_relat_1(sK33,k1_tarski(X1))) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130 ),
inference(forward_demodulation,[],[f24627,f24356]) ).
fof(f24630,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK33,k1_tarski(X1)))
| ~ r2_hidden(X1,sF421)
| ~ r2_hidden(X0,sF422) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_136 ),
inference(forward_subsumption_resolution,[],[f24629,f24434]) ).
fof(f24675,plain,
( ! [X0] :
( r2_hidden(X0,sF422)
| r2_hidden(sK65(sF421,X0,sK33),sF421)
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32)))
| ~ m1_subset_1(X0,sK32)
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31))
| v1_xboole_0(sK32) )
| ~ spl428_124 ),
inference(superposition,[],[f21371,f24336]) ).
fof(f24676,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK65(sK64(X0,X2,X3,X4,X5),X1,X4),sK64(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK64(X0,X2,X3,X4,X5),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(superposition,[],[f21371,f21365]) ).
fof(f24677,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK65(sK64(X0,X2,X3,X4,X5),X1,X4),sK64(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK64(X0,X2,X3,X4,X5),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(duplicate_literal_removal,[],[f24676]) ).
fof(f24679,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X1,X0)
| r2_hidden(sK65(sK64(X0,X2,X3,X4,X5),X1,X4),sK64(X0,X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(forward_subsumption_resolution,[],[f24677,f21366]) ).
fof(f24680,plain,
( ! [X0] :
( r2_hidden(X0,sF422)
| r2_hidden(sK65(sF421,X0,sK33),sF421)
| ~ m1_subset_1(X0,sK32)
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31))
| v1_xboole_0(sK32) )
| ~ spl428_124
| ~ spl428_130 ),
inference(forward_subsumption_resolution,[],[f24675,f24366]) ).
fof(f24681,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(sK65(sK64(X0,X2,X3,X4,X5),X1,X4),sK64(X0,X2,X3,X4,X5))
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,X4,X5))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(forward_subsumption_resolution,[],[f24679,f22292]) ).
fof(f24682,plain,
( ! [X0] :
( r2_hidden(X0,sF422)
| r2_hidden(sK65(sF421,X0,sK33),sF421)
| ~ m1_subset_1(X0,sK32)
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31)) )
| spl428_116
| ~ spl428_124
| ~ spl428_130 ),
inference(forward_subsumption_resolution,[],[f24680,f24296]) ).
fof(f24683,plain,
( ! [X0] :
( ~ m1_subset_1(sF421,sF426)
| r2_hidden(X0,sF422)
| r2_hidden(sK65(sF421,X0,sK33),sF421)
| ~ m1_subset_1(X0,sK32) )
| spl428_116
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130 ),
inference(forward_demodulation,[],[f24682,f24356]) ).
fof(f24684,plain,
( ! [X0] :
( r2_hidden(sK65(sF421,X0,sK33),sF421)
| r2_hidden(X0,sF422)
| ~ m1_subset_1(X0,sK32) )
| spl428_116
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_136 ),
inference(forward_subsumption_resolution,[],[f24683,f24434]) ).
fof(f24885,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF424))
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X2,k8_setfam_1(sK32,X0))
| ~ r2_hidden(X2,sK32)
| r2_hidden(X2,X1) )
| ~ spl428_126 ),
inference(superposition,[],[f21358,f24346]) ).
fof(f24888,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k8_setfam_1(sK32,X0))
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF425)
| ~ r2_hidden(X2,sK32)
| r2_hidden(X2,X1) )
| ~ spl428_126
| ~ spl428_127 ),
inference(forward_demodulation,[],[f24885,f24351]) ).
fof(f24912,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF420)
| ~ r2_hidden(X1,sK35)
| ~ m1_subset_1(sK35,sF425)
| ~ r2_hidden(X0,sK32)
| r2_hidden(X0,X1) )
| ~ spl428_122
| ~ spl428_126
| ~ spl428_127 ),
inference(superposition,[],[f24888,f24326]) ).
fof(f24915,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK35)
| ~ r2_hidden(X0,sF420)
| ~ r2_hidden(X0,sK32)
| r2_hidden(X0,X1) )
| ~ spl428_119
| ~ spl428_122
| ~ spl428_126
| ~ spl428_127 ),
inference(forward_subsumption_resolution,[],[f24912,f24311]) ).
fof(f24918,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF420)
| ~ r2_hidden(X0,sK32)
| r2_hidden(X0,k8_relset_2(sK31,sK32,X1,sK33))
| ~ m1_subset_1(X1,sF426)
| ~ r2_hidden(X1,sK34) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129 ),
inference(resolution,[],[f24915,f24440]) ).
fof(f24965,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF420)
| m1_subset_1(X0,sK32) )
| ~ spl428_126
| ~ spl428_134 ),
inference(resolution,[],[f24460,f24402]) ).
fof(f24966,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF422)
| m1_subset_1(X0,sK32) )
| ~ spl428_126
| ~ spl428_140 ),
inference(resolution,[],[f24460,f24493]) ).
fof(f24971,plain,
( ! [X0] :
( m1_subset_1(sK76(sF422,X0),sK32)
| r1_tarski(sF422,X0) )
| ~ spl428_126
| ~ spl428_140 ),
inference(resolution,[],[f24966,f21457]) ).
fof(f25011,plain,
( ! [X0] :
( r1_tarski(sF422,X0)
| r2_hidden(sK76(sF422,X0),sK32)
| v1_xboole_0(sK32) )
| ~ spl428_126
| ~ spl428_140 ),
inference(resolution,[],[f24971,f21249]) ).
fof(f25012,plain,
( ! [X0] :
( r2_hidden(sK76(sF422,X0),sK32)
| r1_tarski(sF422,X0) )
| spl428_116
| ~ spl428_126
| ~ spl428_140 ),
inference(forward_subsumption_resolution,[],[f25011,f24296]) ).
fof(f25159,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X0,k8_relset_2(X1,X2,X3,sK33))
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(X2)
| ~ r2_hidden(sK65(X3,X0,sK33),sF421)
| ~ r2_hidden(X0,sF422) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_136 ),
inference(resolution,[],[f21372,f24630]) ).
fof(f25219,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK34)
| m1_subset_1(X0,sF426) )
| ~ spl428_118
| ~ spl428_129 ),
inference(resolution,[],[f24462,f24306]) ).
fof(f25249,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK34)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,sF421) )
| ~ spl428_135 ),
inference(superposition,[],[f23526,f24415]) ).
fof(f25254,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,sK64(X1,X2,X3,X4,sK34))
| r2_hidden(X0,sF421)
| ~ r2_hidden(X1,a_4_2_relset_2(X2,X3,X4,sK34))
| v1_xboole_0(X3)
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl428_135 ),
inference(resolution,[],[f25249,f21364]) ).
fof(f25274,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(sK65(sK64(X0,X1,X2,X3,sK34),X4,X3),sF421)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK34))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X4,X0)
| ~ m1_subset_1(X4,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK34))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(X1))) )
| ~ spl428_135 ),
inference(resolution,[],[f25254,f24681]) ).
fof(f25282,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(sK65(sK64(X0,X1,X2,X3,sK34),X4,X3),sF421)
| ~ r2_hidden(X0,a_4_2_relset_2(X1,X2,X3,sK34))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r2_hidden(X4,X0)
| ~ m1_subset_1(X4,X2) )
| ~ spl428_135 ),
inference(duplicate_literal_removal,[],[f25274]) ).
fof(f25436,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK64(X0,X2,X3,sK33,X4),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(sK65(sK64(X0,X2,X3,sK33,X4),X1,sK33),sF421)
| ~ r2_hidden(X1,sF422)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK33,X4))
| v1_xboole_0(X3)
| ~ m2_relset_1(sK33,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_136 ),
inference(superposition,[],[f25159,f21365]) ).
fof(f25437,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| ~ m1_subset_1(sK64(X0,X2,X3,sK33,X4),k1_zfmisc_1(X2))
| v1_xboole_0(X3)
| ~ r2_hidden(sK65(sK64(X0,X2,X3,sK33,X4),X1,sK33),sF421)
| ~ r2_hidden(X1,sF422)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK33,X4))
| ~ m2_relset_1(sK33,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_136 ),
inference(duplicate_literal_removal,[],[f25436]) ).
fof(f25439,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| ~ r2_hidden(sK65(sK64(X0,X2,X3,sK33,X4),X1,sK33),sF421)
| ~ r2_hidden(X1,sF422)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK33,X4))
| ~ m2_relset_1(sK33,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_136 ),
inference(forward_subsumption_resolution,[],[f25437,f21366]) ).
fof(f25440,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK65(sK64(X0,X2,X3,sK33,X4),X1,sK33),sF421)
| ~ m1_subset_1(X1,X3)
| v1_xboole_0(X3)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF422)
| ~ r2_hidden(X0,a_4_2_relset_2(X2,X3,sK33,X4))
| ~ m2_relset_1(sK33,X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_136 ),
inference(forward_subsumption_resolution,[],[f25439,f22292]) ).
fof(f25443,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X2)
| ~ r2_hidden(X0,sF422)
| ~ r2_hidden(X2,a_4_2_relset_2(X3,X1,sK33,sK34))
| ~ m2_relset_1(sK33,X3,X1)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(X3)))
| ~ r2_hidden(X2,a_4_2_relset_2(X3,X1,sK33,sK34))
| v1_xboole_0(X1)
| ~ m2_relset_1(sK33,X3,X1)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(X3)))
| r2_hidden(X0,X2)
| ~ m1_subset_1(X0,X1) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136 ),
inference(resolution,[],[f25440,f25282]) ).
fof(f25444,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,a_4_2_relset_2(X3,X1,sK33,sK34))
| v1_xboole_0(X1)
| r2_hidden(X0,X2)
| ~ r2_hidden(X0,sF422)
| ~ m1_subset_1(X0,X1)
| ~ m2_relset_1(sK33,X3,X1)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(X3))) )
| ~ spl428_124
| ~ spl428_128
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136 ),
inference(duplicate_literal_removal,[],[f25443]) ).
fof(f25457,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF423)
| v1_xboole_0(sK32)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF422)
| ~ m1_subset_1(X1,sK32)
| ~ m2_relset_1(sK33,sK31,sK32)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| ~ spl428_124
| ~ spl428_125
| ~ spl428_128
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136 ),
inference(superposition,[],[f25444,f24341]) ).
fof(f25459,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF423)
| v1_xboole_0(sK32)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF422)
| ~ m2_relset_1(sK33,sK31,sK32)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_128
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_subsumption_resolution,[],[f25457,f24966]) ).
fof(f25461,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF423)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF422)
| ~ m2_relset_1(sK33,sK31,sK32)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| spl428_116
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_128
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_subsumption_resolution,[],[f25459,f24296]) ).
fof(f25462,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF423)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF422)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| spl428_116
| ~ spl428_117
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_128
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_subsumption_resolution,[],[f25461,f24301]) ).
fof(f25463,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK35)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF422)
| ~ m1_subset_1(sK34,k1_zfmisc_1(k1_zfmisc_1(sK31))) )
| spl428_116
| ~ spl428_117
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_128
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_demodulation,[],[f25462,f24316]) ).
fof(f25464,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK34,k1_zfmisc_1(sF426))
| ~ r2_hidden(X0,sK35)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF422) )
| spl428_116
| ~ spl428_117
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_128
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_demodulation,[],[f25463,f24356]) ).
fof(f25465,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK34,sF427)
| ~ r2_hidden(X0,sK35)
| r2_hidden(X1,X0)
| ~ r2_hidden(X1,sF422) )
| spl428_116
| ~ spl428_117
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_demodulation,[],[f25464,f24361]) ).
fof(f25466,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sF422)
| r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK35) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_subsumption_resolution,[],[f25465,f24306]) ).
fof(f25471,plain,
( ! [X0,X1] :
( r2_hidden(sK76(sF422,X0),X1)
| ~ r2_hidden(X1,sK35)
| r1_tarski(sF422,X0) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(resolution,[],[f25466,f21457]) ).
fof(f26061,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF424))
| ~ r2_hidden(X1,sK62(X1,X0))
| ~ r2_hidden(X1,sK32)
| r2_hidden(X1,k8_setfam_1(sK32,X0)) )
| ~ spl428_126 ),
inference(superposition,[],[f21360,f24346]) ).
fof(f26064,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK62(X1,X0))
| ~ m1_subset_1(X0,sF425)
| ~ r2_hidden(X1,sK32)
| r2_hidden(X1,k8_setfam_1(sK32,X0)) )
| ~ spl428_126
| ~ spl428_127 ),
inference(forward_demodulation,[],[f26061,f24351]) ).
fof(f26070,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF425)
| ~ r2_hidden(sK76(sF422,X1),sK32)
| r2_hidden(sK76(sF422,X1),k8_setfam_1(sK32,X0))
| ~ r2_hidden(sK62(sK76(sF422,X1),X0),sK35)
| r1_tarski(sF422,X1) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(resolution,[],[f26064,f25471]) ).
fof(f26093,plain,
( ! [X0,X1] :
( r2_hidden(X0,k8_relset_2(sK31,sK32,X1,sK33))
| ~ r2_hidden(X0,sK32)
| ~ r2_hidden(X0,sF420)
| ~ r2_hidden(X1,sK34) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129 ),
inference(forward_subsumption_resolution,[],[f24918,f25219]) ).
fof(f26126,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK32)
| ~ r2_hidden(X0,sF420)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,k9_relat_1(sK33,k1_tarski(X2)))
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK31)) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129 ),
inference(resolution,[],[f26093,f21373]) ).
fof(f26140,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK32)
| ~ r2_hidden(X0,sF420)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,k9_relat_1(sK33,k1_tarski(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK31)) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130 ),
inference(forward_subsumption_resolution,[],[f26126,f24366]) ).
fof(f26142,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF426)
| ~ r2_hidden(X0,sK32)
| ~ r2_hidden(X0,sF420)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(X2,X1)
| r2_hidden(X0,k9_relat_1(sK33,k1_tarski(X2))) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130 ),
inference(forward_demodulation,[],[f26140,f24356]) ).
fof(f26144,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(sK33,k1_tarski(X2)))
| ~ r2_hidden(X0,sF420)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(X2,X1)
| ~ r2_hidden(X0,sK32) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130 ),
inference(forward_subsumption_resolution,[],[f26142,f25219]) ).
fof(f26147,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,k8_relset_2(X3,X4,X2,sK33))
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(sK65(X2,X0,sK33),X1)
| ~ r2_hidden(X0,sK32)
| ~ r2_hidden(X0,sF420)
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))
| ~ m1_subset_1(X0,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| v1_xboole_0(X4) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130 ),
inference(resolution,[],[f26144,f21372]) ).
fof(f26184,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(sK65(sF421,X0,sK33),X1)
| ~ r2_hidden(X0,sK32)
| ~ r2_hidden(X0,sF420)
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32)))
| ~ m1_subset_1(X0,sK32)
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31))
| v1_xboole_0(sK32) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130 ),
inference(superposition,[],[f26147,f24336]) ).
fof(f26189,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(sK65(sF421,X0,sK33),X1)
| ~ r2_hidden(X0,sF420)
| ~ m1_subset_1(sK33,k1_zfmisc_1(k2_zfmisc_1(sK31,sK32)))
| ~ m1_subset_1(X0,sK32)
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31))
| v1_xboole_0(sK32) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130 ),
inference(forward_subsumption_resolution,[],[f26184,f21249]) ).
fof(f26191,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(sK65(sF421,X0,sK33),X1)
| ~ r2_hidden(X0,sF420)
| ~ m1_subset_1(X0,sK32)
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31))
| v1_xboole_0(sK32) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130 ),
inference(forward_subsumption_resolution,[],[f26189,f24366]) ).
fof(f26192,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(sK65(sF421,X0,sK33),X1)
| ~ r2_hidden(X0,sF420)
| ~ m1_subset_1(X0,sK32)
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31)) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130 ),
inference(forward_subsumption_resolution,[],[f26191,f24296]) ).
fof(f26193,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(sK65(sF421,X0,sK33),X1)
| ~ r2_hidden(X0,sF420)
| ~ m1_subset_1(sF421,k1_zfmisc_1(sK31)) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134 ),
inference(forward_subsumption_resolution,[],[f26192,f24965]) ).
fof(f26194,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF421,sF426)
| r2_hidden(X0,sF422)
| ~ r2_hidden(X1,sK34)
| ~ r2_hidden(sK65(sF421,X0,sK33),X1)
| ~ r2_hidden(X0,sF420) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134 ),
inference(forward_demodulation,[],[f26193,f24356]) ).
fof(f26195,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK65(sF421,X0,sK33),X1)
| ~ r2_hidden(X1,sK34)
| r2_hidden(X0,sF422)
| ~ r2_hidden(X0,sF420) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_136 ),
inference(forward_subsumption_resolution,[],[f26194,f24434]) ).
fof(f26214,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK87(X0,sK65(sF421,X1,sK33)),sK34)
| r2_hidden(X1,sF422)
| ~ r2_hidden(X1,sF420)
| ~ r2_hidden(sK65(sF421,X1,sK33),k3_tarski(X0)) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_136 ),
inference(resolution,[],[f26195,f23527]) ).
fof(f26235,plain,
( ! [X0] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X0,sF420)
| ~ r2_hidden(sK65(sF421,X0,sK33),k3_tarski(sK34))
| ~ r2_hidden(sK65(sF421,X0,sK33),k3_tarski(sK34)) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_136 ),
inference(resolution,[],[f26214,f23528]) ).
fof(f26238,plain,
( ! [X0] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X0,sF420)
| ~ r2_hidden(sK65(sF421,X0,sK33),k3_tarski(sK34)) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_136 ),
inference(duplicate_literal_removal,[],[f26235]) ).
fof(f26243,plain,
( ! [X0] :
( ~ r2_hidden(sK65(sF421,X0,sK33),sF421)
| r2_hidden(X0,sF422)
| ~ r2_hidden(X0,sF420) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136 ),
inference(forward_demodulation,[],[f26238,f24415]) ).
fof(f26244,plain,
( ! [X0] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X0,sF420)
| r2_hidden(X0,sF422)
| ~ m1_subset_1(X0,sK32) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136 ),
inference(resolution,[],[f26243,f24684]) ).
fof(f26245,plain,
( ! [X0] :
( r2_hidden(X0,sF422)
| ~ r2_hidden(X0,sF420)
| ~ m1_subset_1(X0,sK32) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136 ),
inference(duplicate_literal_removal,[],[f26244]) ).
fof(f26246,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF420)
| r2_hidden(X0,sF422) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136 ),
inference(forward_subsumption_resolution,[],[f26245,f24965]) ).
fof(f26253,plain,
( ! [X0] :
( r2_hidden(sK76(sF420,X0),sF422)
| r1_tarski(sF420,X0) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136 ),
inference(resolution,[],[f26246,f21457]) ).
fof(f26276,plain,
( r1_tarski(sF420,sF422)
| r1_tarski(sF420,sF422)
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136 ),
inference(resolution,[],[f26253,f21458]) ).
fof(f26282,plain,
( r1_tarski(sF420,sF422)
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136 ),
inference(duplicate_literal_removal,[],[f26276]) ).
fof(f26293,definition,
( spl428_304
<=> r1_tarski(sF420,sF422) ),
introduced(definition,[new_symbols(definition,[spl428_304])],[avatar_definition]) ).
fof(f26295,plain,
( r1_tarski(sF420,sF422)
| ~ spl428_304 ),
inference(avatar_component_clause,[],[f26293]) ).
fof(f26296,plain,
( spl428_304
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136 ),
inference(avatar_split_clause,[],[f26282,f24433,f24413,f24400,f24365,f24359,f24354,f24349,f24344,f24339,f24334,f24324,f24314,f24309,f24304,f24299,f24294,f26293]) ).
fof(f26339,plain,
( ~ r1_tarski(sF422,sF420)
| sF420 = sF422
| ~ spl428_304 ),
inference(resolution,[],[f26295,f21454]) ).
fof(f26345,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK62(sK76(sF422,X1),X0),sK35)
| r2_hidden(sK76(sF422,X1),k8_setfam_1(sK32,X0))
| ~ m1_subset_1(X0,sF425)
| r1_tarski(sF422,X1) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_subsumption_resolution,[],[f26070,f25012]) ).
fof(f26346,plain,
( ~ r1_tarski(sF422,sF420)
| spl428_121
| ~ spl428_304 ),
inference(forward_subsumption_resolution,[],[f26339,f24321]) ).
fof(f26350,definition,
( spl428_310
<=> r1_tarski(sF422,sF420) ),
introduced(definition,[new_symbols(definition,[spl428_310])],[avatar_definition]) ).
fof(f26352,plain,
( ~ r1_tarski(sF422,sF420)
| spl428_310 ),
inference(avatar_component_clause,[],[f26350]) ).
fof(f26353,plain,
( ~ spl428_310
| spl428_121
| ~ spl428_304 ),
inference(avatar_split_clause,[],[f26346,f26293,f24319,f26350]) ).
fof(f26994,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF424))
| r2_hidden(sK62(X1,X0),X0)
| ~ r2_hidden(X1,sK32)
| r2_hidden(X1,k8_setfam_1(sK32,X0)) )
| ~ spl428_126 ),
inference(superposition,[],[f21359,f24346]) ).
fof(f26997,plain,
( ! [X0,X1] :
( r2_hidden(sK62(X1,X0),X0)
| ~ m1_subset_1(X0,sF425)
| ~ r2_hidden(X1,sK32)
| r2_hidden(X1,k8_setfam_1(sK32,X0)) )
| ~ spl428_126
| ~ spl428_127 ),
inference(forward_demodulation,[],[f26994,f24351]) ).
fof(f27113,plain,
( ! [X0] :
( ~ m1_subset_1(sK35,sF425)
| ~ r2_hidden(sK76(sF422,X0),sK32)
| r2_hidden(sK76(sF422,X0),k8_setfam_1(sK32,sK35))
| r2_hidden(sK76(sF422,X0),k8_setfam_1(sK32,sK35))
| ~ m1_subset_1(sK35,sF425)
| r1_tarski(sF422,X0) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(resolution,[],[f26997,f26345]) ).
fof(f27146,plain,
( ! [X0] :
( ~ m1_subset_1(sK35,sF425)
| ~ r2_hidden(sK76(sF422,X0),sK32)
| r2_hidden(sK76(sF422,X0),k8_setfam_1(sK32,sK35))
| r1_tarski(sF422,X0) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(duplicate_literal_removal,[],[f27113]) ).
fof(f27185,plain,
( ! [X0] :
( ~ r2_hidden(sK76(sF422,X0),sK32)
| r2_hidden(sK76(sF422,X0),k8_setfam_1(sK32,sK35))
| r1_tarski(sF422,X0) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_subsumption_resolution,[],[f27146,f24311]) ).
fof(f27196,plain,
( ! [X0] :
( r2_hidden(sK76(sF422,X0),k8_setfam_1(sK32,sK35))
| r1_tarski(sF422,X0) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_subsumption_resolution,[],[f27185,f25012]) ).
fof(f27203,plain,
( ! [X0] :
( r2_hidden(sK76(sF422,X0),sF420)
| r1_tarski(sF422,X0) )
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(forward_demodulation,[],[f27196,f24326]) ).
fof(f27229,plain,
( r1_tarski(sF422,sF420)
| r1_tarski(sF422,sF420)
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(resolution,[],[f27203,f21458]) ).
fof(f27234,plain,
( r1_tarski(sF422,sF420)
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140 ),
inference(duplicate_literal_removal,[],[f27229]) ).
fof(f27236,plain,
( $false
| spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140
| spl428_310 ),
inference(forward_subsumption_resolution,[],[f27234,f26352]) ).
fof(f27237,plain,
( spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140
| spl428_310 ),
inference(avatar_contradiction_clause,[],[f27236]) ).
cnf(s121,plain,
~ spl428_116,
inference(sat_conversion,[],[f24297]) ).
cnf(s122,plain,
spl428_117,
inference(sat_conversion,[],[f24302]) ).
cnf(s123,plain,
spl428_118,
inference(sat_conversion,[],[f24307]) ).
cnf(s124,plain,
spl428_119,
inference(sat_conversion,[],[f24312]) ).
cnf(s125,plain,
spl428_120,
inference(sat_conversion,[],[f24317]) ).
cnf(s126,plain,
~ spl428_121,
inference(sat_conversion,[],[f24322]) ).
cnf(s127,plain,
spl428_122,
inference(sat_conversion,[],[f24327]) ).
cnf(s128,plain,
spl428_123,
inference(sat_conversion,[],[f24332]) ).
cnf(s129,plain,
spl428_124,
inference(sat_conversion,[],[f24337]) ).
cnf(s130,plain,
spl428_125,
inference(sat_conversion,[],[f24342]) ).
cnf(s131,plain,
spl428_126,
inference(sat_conversion,[],[f24347]) ).
cnf(s132,plain,
spl428_127,
inference(sat_conversion,[],[f24352]) ).
cnf(s133,plain,
spl428_128,
inference(sat_conversion,[],[f24357]) ).
cnf(s134,plain,
spl428_129,
inference(sat_conversion,[],[f24362]) ).
cnf(s135,plain,
( ~ spl428_124
| ~ spl428_130
| ~ spl428_131
| spl428_132 ),
inference(sat_conversion,[],[f24376]) ).
cnf(s137,plain,
( ~ spl428_119
| ~ spl428_122
| ~ spl428_126
| ~ spl428_127
| spl428_134 ),
inference(sat_conversion,[],[f24403]) ).
cnf(s138,plain,
( ~ spl428_118
| ~ spl428_123
| ~ spl428_128
| ~ spl428_129
| spl428_135 ),
inference(sat_conversion,[],[f24416]) ).
cnf(s142,plain,
( ~ spl428_117
| spl428_130 ),
inference(sat_conversion,[],[f24465]) ).
cnf(s144,plain,
( ~ spl428_128
| spl428_131
| ~ spl428_136 ),
inference(sat_conversion,[],[f24485]) ).
cnf(s146,plain,
( ~ spl428_126
| ~ spl428_132
| spl428_140 ),
inference(sat_conversion,[],[f24494]) ).
cnf(s147,plain,
( ~ spl428_118
| ~ spl428_123
| ~ spl428_128
| ~ spl428_129
| spl428_136 ),
inference(sat_conversion,[],[f24497]) ).
cnf(s305,plain,
( spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_134
| ~ spl428_135
| ~ spl428_136
| spl428_304 ),
inference(sat_conversion,[],[f26296]) ).
cnf(s315,plain,
( spl428_121
| ~ spl428_304
| ~ spl428_310 ),
inference(sat_conversion,[],[f26353]) ).
cnf(s419,plain,
( spl428_116
| ~ spl428_117
| ~ spl428_118
| ~ spl428_119
| ~ spl428_120
| ~ spl428_122
| ~ spl428_124
| ~ spl428_125
| ~ spl428_126
| ~ spl428_127
| ~ spl428_128
| ~ spl428_129
| ~ spl428_130
| ~ spl428_135
| ~ spl428_136
| ~ spl428_140
| spl428_310 ),
inference(sat_conversion,[],[f27237]) ).
cnf(s425,plain,
spl428_134,
inference(rat,[],[s137,s127,s132,s131,s124]) ).
cnf(s426,plain,
spl428_136,
inference(rat,[],[s147,s128,s134,s133,s123]) ).
cnf(s427,plain,
spl428_135,
inference(rat,[],[s138,s128,s134,s133,s123]) ).
cnf(s428,plain,
spl428_131,
inference(rat,[],[s144,s133,s426]) ).
cnf(s430,plain,
spl428_130,
inference(rat,[],[s142,s122]) ).
cnf(s433,plain,
spl428_132,
inference(rat,[],[s135,s428,s129,s430]) ).
cnf(s434,plain,
spl428_140,
inference(rat,[],[s146,s131,s433]) ).
cnf(s435,plain,
spl428_310,
inference(rat,[],[s419,s434,s430,s426,s427,s122,s134,s133,s132,s131,s130,s129,s127,s125,s124,s123,s121]) ).
cnf(s438,plain,
spl428_304,
inference(rat,[],[s305,s430,s426,s427,s425,s122,s134,s133,s132,s131,s130,s129,s127,s125,s124,s123,s121]) ).
cnf(s442,plain,
$false,
inference(rat,[],[s315,s126,s435,s438]) ).
fof(f27238,plain,
$false,
inference(avatar_sat_refutation,[],[s442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU431+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 05:26:44 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 12.23/3.59 % (1935701)Detected formulas, will run a generic FOF schedule.
% 12.23/3.59 % (1935709)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3479880844:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 12.23/3.59 % (1935706)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=1209974311:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 12.23/3.59 % (1935711)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3579896503:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 12.23/3.59 % (1935708)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=2913047045:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 12.23/3.59 % (1935707)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=794373411:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 12.23/3.59 % (1935710)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=48646748:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 12.23/3.59 % (1935712)dis-21_1_sil=8000:lcm=predicate:random_seed=1020908155:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 12.23/3.59 % (1935709)Instruction limit reached!
% 12.23/3.59 % (1935709)------------------------------
% 12.23/3.59 % (1935709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/3.59 % (1935709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/3.59 % (1935709)CaDiCaL version: 2.1.3
% 12.23/3.59 % (1935709)Termination reason: Instruction limit
% 12.23/3.59 % (1935709)Termination phase: SInE selection
% 12.23/3.59 % (1935709)Time elapsed: 0.054 s
% 12.23/3.59 % (1935709)Peak memory usage: 112 MB
% 12.23/3.59 % (1935709)Instructions burned: 111 (million)
% 12.23/3.59 % (1935711)Instruction limit reached!
% 12.23/3.59 % (1935711)------------------------------
% 12.23/3.59 % (1935711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/3.59 % (1935711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/3.59 % (1935711)CaDiCaL version: 2.1.3
% 12.23/3.59 % (1935711)Termination reason: Instruction limit
% 12.23/3.59 % (1935711)Termination phase: Property scanning
% 12.23/3.59 % (1935711)Time elapsed: 0.059 s
% 12.23/3.59 % (1935711)Peak memory usage: 112 MB
% 12.23/3.59 % (1935711)Instructions burned: 139 (million)
% 12.23/3.59 % (1935712)Instruction limit reached!
% 12.23/3.59 % (1935712)------------------------------
% 12.23/3.59 % (1935712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/3.59 % (1935712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/3.59 % (1935712)CaDiCaL version: 2.1.3
% 12.23/3.59 % (1935712)Termination reason: Instruction limit
% 12.23/3.59 % (1935712)Termination phase: SInE selection
% 12.23/3.59 % (1935712)Time elapsed: 0.089 s
% 12.23/3.59 % (1935712)Peak memory usage: 112 MB
% 12.23/3.59 % (1935712)Instructions burned: 129 (million)
% 12.23/3.59 % (1935710)Instruction limit reached!
% 12.23/3.59 % (1935710)------------------------------
% 12.23/3.59 % (1935710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/3.59 % (1935710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.23/3.59 % (1935710)CaDiCaL version: 2.1.3
% 12.23/3.59 % (1935710)Termination reason: Instruction limit
% 12.23/3.59 % (1935710)Termination phase: Preprocessing 1
% 12.23/3.59 % (1935710)Time elapsed: 0.100 s
% 12.23/3.59 % (1935710)Peak memory usage: 113 MB
% 12.23/3.59 % (1935710)Instructions burned: 119 (million)
% 12.23/3.59 % (1935720)lrs+10_1_sil=8000:sp=occurrence:random_seed=3475873045:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 12.23/3.59 % (1935721)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4022781374:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 12.23/3.59 % (1935722)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3820061267:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 12.23/3.59 % (1935720)Instruction limit reached!
% 12.23/3.59 % (1935720)------------------------------
% 12.23/3.59 % (1935720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.23/3.59 % (1935720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/4.45 % (1935720)CaDiCaL version: 2.1.3
% 18.59/4.45 % (1935720)Termination reason: Instruction limit
% 18.59/4.45 % (1935720)Termination phase: Saturation
% 18.59/4.45 % (1935720)Time elapsed: 0.117 s
% 18.59/4.45 % (1935720)Peak memory usage: 119 MB
% 18.59/4.45 % (1935720)Instructions burned: 287 (million)
% 18.59/4.45 % (1935724)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=3029501615:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 18.59/4.45 % (1935721)Instruction limit reached!
% 18.59/4.45 % (1935721)------------------------------
% 18.59/4.45 % (1935721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/4.45 % (1935721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/4.45 % (1935721)CaDiCaL version: 2.1.3
% 18.59/4.45 % (1935721)Termination reason: Instruction limit
% 18.59/4.45 % (1935721)Termination phase: Property scanning
% 18.59/4.45 % (1935721)Time elapsed: 0.068 s
% 18.59/4.45 % (1935721)Peak memory usage: 112 MB
% 18.59/4.45 % (1935721)Instructions burned: 157 (million)
% 18.59/4.45 % (1935727)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2719702093:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 18.59/4.45 % (1935724)Instruction limit reached!
% 18.59/4.45 % (1935724)------------------------------
% 18.59/4.45 % (1935724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/4.45 % (1935724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/4.45 % (1935724)CaDiCaL version: 2.1.3
% 18.59/4.45 % (1935724)Termination reason: Instruction limit
% 18.59/4.45 % (1935724)Termination phase: Property scanning
% 18.59/4.45 % (1935724)Time elapsed: 0.106 s
% 18.59/4.45 % (1935724)Peak memory usage: 112 MB
% 18.59/4.45 % (1935724)Instructions burned: 249 (million)
% 18.59/4.45 % (1935729)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4147836727:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 18.59/4.45 % (1935727)Instruction limit reached!
% 18.59/4.45 % (1935727)------------------------------
% 18.59/4.45 % (1935727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/4.45 % (1935727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/4.45 % (1935727)CaDiCaL version: 2.1.3
% 18.59/4.45 % (1935727)Termination reason: Instruction limit
% 18.59/4.45 % (1935727)Termination phase: Property scanning
% 18.59/4.45 % (1935727)Time elapsed: 0.115 s
% 18.59/4.45 % (1935727)Peak memory usage: 118 MB
% 18.59/4.45 % (1935727)Instructions burned: 298 (million)
% 18.59/4.45 % (1935731)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2559850640:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 18.59/4.45 % (1935722)Instruction limit reached!
% 18.59/4.45 % (1935722)------------------------------
% 18.59/4.45 % (1935722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/4.45 % (1935722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/4.45 % (1935722)CaDiCaL version: 2.1.3
% 18.59/4.45 % (1935722)Termination reason: Instruction limit
% 18.59/4.45 % (1935722)Termination phase: Saturation
% 18.59/4.45 % (1935722)Time elapsed: 0.248 s
% 18.59/4.45 % (1935722)Peak memory usage: 119 MB
% 18.59/4.45 % (1935722)Instructions burned: 326 (million)
% 18.59/4.45 % (1935733)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1822000144:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 18.59/4.45 % (1935731)Instruction limit reached!
% 18.59/4.45 % (1935731)------------------------------
% 18.59/4.45 % (1935731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/4.45 % (1935731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/4.45 % (1935731)CaDiCaL version: 2.1.3
% 18.59/4.45 % (1935731)Termination reason: Instruction limit
% 18.59/4.45 % (1935731)Termination phase: SInE selection
% 18.59/4.45 % (1935731)Time elapsed: 0.089 s
% 18.59/4.45 % (1935731)Peak memory usage: 112 MB
% 18.59/4.45 % (1935731)Instructions burned: 113 (million)
% 18.59/4.45 % (1935733)Instruction limit reached!
% 18.59/4.45 % (1935733)------------------------------
% 18.59/4.45 % (1935733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/4.45 % (1935733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/4.45 % (1935733)CaDiCaL version: 2.1.3
% 58.77/10.04 % (1935733)Termination reason: Instruction limit
% 58.77/10.04 % (1935733)Termination phase: Preprocessing 1
% 58.77/10.04 % (1935733)Time elapsed: 0.054 s
% 58.77/10.04 % (1935733)Peak memory usage: 113 MB
% 58.77/10.04 % (1935733)Instructions burned: 128 (million)
% 58.77/10.04 % (1935735)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2606069146:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 58.77/10.04 % (1935735)Instruction limit reached!
% 58.77/10.04 % (1935735)------------------------------
% 58.77/10.04 % (1935735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.77/10.04 % (1935735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.77/10.04 % (1935735)CaDiCaL version: 2.1.3
% 58.77/10.04 % (1935735)Termination reason: Instruction limit
% 58.77/10.04 % (1935735)Termination phase: Property scanning
% 58.77/10.04 % (1935735)Time elapsed: 0.050 s
% 58.77/10.04 % (1935735)Peak memory usage: 112 MB
% 58.77/10.04 % (1935735)Instructions burned: 116 (million)
% 58.77/10.04 % (1935738)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4200869332:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 58.77/10.04 % (1935737)lrs+10_1_sil=8000:sp=occurrence:random_seed=2810449830:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 58.77/10.04 % (1935740)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4229655999:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 58.77/10.04 % (1935738)Instruction limit reached!
% 58.77/10.04 % (1935738)------------------------------
% 58.77/10.04 % (1935738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.77/10.04 % (1935738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.77/10.04 % (1935738)CaDiCaL version: 2.1.3
% 58.77/10.04 % (1935738)Termination reason: Instruction limit
% 58.77/10.04 % (1935738)Termination phase: Saturation
% 58.77/10.04 % (1935738)Time elapsed: 0.168 s
% 58.77/10.04 % (1935738)Peak memory usage: 121 MB
% 58.77/10.04 % (1935738)Instructions burned: 439 (million)
% 58.77/10.04 % (1935744)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3101570206:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 58.77/10.04 % (1935744)Instruction limit reached!
% 58.77/10.04 % (1935744)------------------------------
% 58.77/10.04 % (1935744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.77/10.04 % (1935744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.77/10.04 % (1935744)CaDiCaL version: 2.1.3
% 58.77/10.04 % (1935744)Termination reason: Instruction limit
% 58.77/10.04 % (1935744)Termination phase: NewCNF
% 58.77/10.04 % (1935744)Time elapsed: 0.067 s
% 58.77/10.04 % (1935744)Peak memory usage: 115 MB
% 58.77/10.04 % (1935744)Instructions burned: 137 (million)
% 58.77/10.04 % (1935746)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=409702936:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 58.77/10.04 % (1935737)Instruction limit reached!
% 58.77/10.04 % (1935737)------------------------------
% 58.77/10.04 % (1935737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.77/10.04 % (1935737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.77/10.04 % (1935737)CaDiCaL version: 2.1.3
% 58.77/10.04 % (1935737)Termination reason: Instruction limit
% 58.77/10.04 % (1935737)Termination phase: Saturation
% 58.77/10.04 % (1935737)Time elapsed: 0.532 s
% 58.77/10.04 % (1935737)Peak memory usage: 131 MB
% 58.77/10.04 % (1935737)Instructions burned: 907 (million)
% 58.77/10.04 % (1935748)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1424629685:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 58.77/10.04 % (1935746)Instruction limit reached!
% 58.77/10.04 % (1935746)------------------------------
% 58.77/10.04 % (1935746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.77/10.04 % (1935746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.77/10.04 % (1935746)CaDiCaL version: 2.1.3
% 58.77/10.04 % (1935746)Termination reason: Instruction limit
% 58.77/10.04 % (1935746)Termination phase: Preprocessing 3
% 58.77/10.04 % (1935746)Time elapsed: 0.266 s
% 58.77/10.04 % (1935746)Peak memory usage: 134 MB
% 58.77/10.04 % (1935746)Instructions burned: 593 (million)
% 58.77/10.04 % (1935750)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=2377633561:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 84.79/13.74 % (1935750)Instruction limit reached!
% 84.79/13.74 % (1935750)------------------------------
% 84.79/13.74 % (1935750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.79/13.74 % (1935750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.79/13.74 % (1935750)CaDiCaL version: 2.1.3
% 84.79/13.74 % (1935750)Termination reason: Instruction limit
% 84.79/13.74 % (1935750)Termination phase: Property scanning
% 84.79/13.74 % (1935750)Time elapsed: 0.029 s
% 84.79/13.74 % (1935750)Peak memory usage: 112 MB
% 84.79/13.74 % (1935750)Instructions burned: 126 (million)
% 84.79/13.74 % (1935752)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1207892718:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 84.79/13.74 % (1935752)Instruction limit reached!
% 84.79/13.74 % (1935752)------------------------------
% 84.79/13.74 % (1935752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.79/13.74 % (1935752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.79/13.74 % (1935752)CaDiCaL version: 2.1.3
% 84.79/13.74 % (1935752)Termination reason: Instruction limit
% 84.79/13.74 % (1935752)Termination phase: Property scanning
% 84.79/13.74 % (1935752)Time elapsed: 0.031 s
% 84.79/13.74 % (1935752)Peak memory usage: 112 MB
% 84.79/13.74 % (1935752)Instructions burned: 135 (million)
% 84.79/13.74 % (1935729)Instruction limit reached!
% 84.79/13.74 % (1935729)------------------------------
% 84.79/13.74 % (1935729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.79/13.74 % (1935729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.79/13.74 % (1935729)CaDiCaL version: 2.1.3
% 84.79/13.74 % (1935729)Termination reason: Instruction limit
% 84.79/13.74 % (1935729)Termination phase: Property scanning
% 84.79/13.74 % (1935729)Time elapsed: 1.262 s
% 84.79/13.74 % (1935729)Peak memory usage: 171 MB
% 84.79/13.74 % (1935729)Instructions burned: 2352 (million)
% 84.79/13.74 % (1935754)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=675586704:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 84.79/13.74 % (1935755)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3423309777:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2971 on theBenchmark for (2971ds/431Mi)
% 84.79/13.74 % (1935754)Instruction limit reached!
% 84.79/13.74 % (1935754)------------------------------
% 84.79/13.74 % (1935754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.79/13.74 % (1935754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.79/13.74 % (1935754)CaDiCaL version: 2.1.3
% 84.79/13.74 % (1935754)Termination reason: Instruction limit
% 84.79/13.74 % (1935754)Termination phase: Saturation
% 84.79/13.74 % (1935754)Time elapsed: 0.069 s
% 84.79/13.74 % (1935754)Peak memory usage: 117 MB
% 84.79/13.74 % (1935754)Instructions burned: 142 (million)
% 84.79/13.74 % (1935758)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=2070257460:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 84.79/13.74 % (1935755)Instruction limit reached!
% 84.79/13.74 % (1935755)------------------------------
% 84.79/13.74 % (1935755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.79/13.74 % (1935755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.79/13.74 % (1935755)CaDiCaL version: 2.1.3
% 84.79/13.74 % (1935755)Termination reason: Instruction limit
% 84.79/13.74 % (1935755)Termination phase: Saturation
% 84.79/13.74 % (1935755)Time elapsed: 0.301 s
% 84.79/13.74 % (1935755)Peak memory usage: 120 MB
% 84.79/13.74 % (1935755)Instructions burned: 432 (million)
% 84.79/13.74 % (1935760)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=3800374933:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 84.79/13.74 % (1935760)Instruction limit reached!
% 84.79/13.74 % (1935760)------------------------------
% 84.79/13.74 % (1935760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.79/13.74 % (1935760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.79/13.74 % (1935760)CaDiCaL version: 2.1.3
% 84.79/13.74 % (1935760)Termination reason: Instruction limit
% 113.81/17.87 % (1935760)Termination phase: Preprocessing 1
% 113.81/17.87 % (1935760)Time elapsed: 0.123 s
% 113.81/17.87 % (1935760)Peak memory usage: 113 MB
% 113.81/17.87 % (1935760)Instructions burned: 150 (million)
% 113.81/17.87 % (1935762)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2095219005:i=14155:bd=all_2964 on theBenchmark for (2964ds/14155Mi)
% 113.81/17.87 % (1935758)Instruction limit reached!
% 113.81/17.87 % (1935758)------------------------------
% 113.81/17.87 % (1935758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.81/17.87 % (1935758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.81/17.87 % (1935758)CaDiCaL version: 2.1.3
% 113.81/17.87 % (1935758)Termination reason: Instruction limit
% 113.81/17.87 % (1935758)Termination phase: Saturation
% 113.81/17.87 % (1935758)Time elapsed: 2.677 s
% 113.81/17.87 % (1935758)Peak memory usage: 682 MB
% 113.81/17.87 % (1935758)Instructions burned: 6061 (million)
% 113.81/17.87 % (1935764)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1243160175:i=667:av=off:fsr=off_2941 on theBenchmark for (2941ds/667Mi)
% 113.81/17.87 % (1935740)Instruction limit reached!
% 113.81/17.87 % (1935740)------------------------------
% 113.81/17.87 % (1935740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.81/17.87 % (1935740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.81/17.87 % (1935740)CaDiCaL version: 2.1.3
% 113.81/17.87 % (1935740)Termination reason: Instruction limit
% 113.81/17.87 % (1935740)Termination phase: Saturation
% 113.81/17.87 % (1935740)Time elapsed: 3.913 s
% 113.81/17.87 % (1935740)Peak memory usage: 490 MB
% 113.81/17.87 % (1935740)Instructions burned: 5202 (million)
% 113.81/17.87 % (1935766)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=2739087206:s2a=on:i=185:s2at=1.8:fdi=4_2940 on theBenchmark for (2940ds/185Mi)
% 113.81/17.87 % (1935764)Instruction limit reached!
% 113.81/17.87 % (1935764)------------------------------
% 113.81/17.87 % (1935764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.81/17.87 % (1935764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.81/17.87 % (1935764)CaDiCaL version: 2.1.3
% 113.81/17.87 % (1935764)Termination reason: Instruction limit
% 113.81/17.87 % (1935764)Termination phase: NewCNF
% 113.81/17.87 % (1935764)Time elapsed: 0.297 s
% 113.81/17.87 % (1935764)Peak memory usage: 149 MB
% 113.81/17.87 % (1935764)Instructions burned: 667 (million)
% 113.81/17.87 % (1935766)Instruction limit reached!
% 113.81/17.87 % (1935766)------------------------------
% 113.81/17.87 % (1935766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.81/17.87 % (1935766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.81/17.87 % (1935766)CaDiCaL version: 2.1.3
% 113.81/17.87 % (1935766)Termination reason: Instruction limit
% 113.81/17.87 % (1935766)Termination phase: SInE selection
% 113.81/17.87 % (1935766)Time elapsed: 0.147 s
% 113.81/17.87 % (1935766)Peak memory usage: 113 MB
% 113.81/17.87 % (1935766)Instructions burned: 185 (million)
% 113.81/17.87 % (1935768)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4114196415:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2937 on theBenchmark for (2937ds/193Mi)
% 113.81/17.87 % (1935769)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2143915272:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2937 on theBenchmark for (2937ds/4850Mi)
% 113.81/17.87 % (1935768)Instruction limit reached!
% 113.81/17.87 % (1935768)------------------------------
% 113.81/17.87 % (1935768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.81/17.87 % (1935768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.81/17.87 % (1935768)CaDiCaL version: 2.1.3
% 113.81/17.87 % (1935768)Termination reason: Instruction limit
% 113.81/17.87 % (1935768)Termination phase: SInE selection
% 113.81/17.87 % (1935768)Time elapsed: 0.095 s
% 113.81/17.87 % (1935768)Peak memory usage: 112 MB
% 113.81/17.87 % (1935768)Instructions burned: 198 (million)
% 113.81/17.87 % (1935772)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3606822685:i=12111:sd=1:ss=included_2935 on theBenchmark for (2935ds/12111Mi)
% 113.81/17.87 % (1935769)Instruction limit reached!
% 113.81/17.87 % (1935769)------------------------------
% 113.81/17.87 % (1935769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.78 % (1935769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.78 % (1935769)CaDiCaL version: 2.1.3
% 141.20/21.78 % (1935769)Termination reason: Instruction limit
% 141.20/21.78 % (1935769)Termination phase: Saturation
% 141.20/21.78 % (1935769)Time elapsed: 2.779 s
% 141.20/21.78 % (1935769)Peak memory usage: 219 MB
% 141.20/21.78 % (1935769)Instructions burned: 4850 (million)
% 141.20/21.78 % (1935774)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2738376740:i=319:kws=precedence:fsr=off_2908 on theBenchmark for (2908ds/319Mi)
% 141.20/21.78 % (1935774)Instruction limit reached!
% 141.20/21.78 % (1935774)------------------------------
% 141.20/21.78 % (1935774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.78 % (1935774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.78 % (1935774)CaDiCaL version: 2.1.3
% 141.20/21.78 % (1935774)Termination reason: Instruction limit
% 141.20/21.78 % (1935774)Termination phase: Naming
% 141.20/21.78 % (1935774)Time elapsed: 0.261 s
% 141.20/21.78 % (1935774)Peak memory usage: 135 MB
% 141.20/21.78 % (1935774)Instructions burned: 319 (million)
% 141.20/21.78 % (1935776)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2680608492:i=2064:ep=RST_2904 on theBenchmark for (2904ds/2064Mi)
% 141.20/21.78 % (1935776)Instruction limit reached!
% 141.20/21.78 % (1935776)------------------------------
% 141.20/21.78 % (1935776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.78 % (1935776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.78 % (1935776)CaDiCaL version: 2.1.3
% 141.20/21.78 % (1935776)Termination reason: Instruction limit
% 141.20/21.78 % (1935776)Termination phase: Property scanning
% 141.20/21.78 % (1935776)Time elapsed: 1.100 s
% 141.20/21.78 % (1935776)Peak memory usage: 171 MB
% 141.20/21.78 % (1935776)Instructions burned: 2064 (million)
% 141.20/21.78 % (1935748)Instruction limit reached!
% 141.20/21.78 % (1935748)------------------------------
% 141.20/21.78 % (1935748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.78 % (1935748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.78 % (1935748)CaDiCaL version: 2.1.3
% 141.20/21.78 % (1935748)Termination reason: Instruction limit
% 141.20/21.78 % (1935748)Termination phase: Saturation
% 141.20/21.78 % (1935748)Time elapsed: 8.289 s
% 141.20/21.78 % (1935748)Peak memory usage: 331 MB
% 141.20/21.78 % (1935748)Instructions burned: 13193 (million)
% 141.20/21.78 % (1935930)dis-1011_128_sil=32000:random_seed=520913888:i=3706:ep=RST:av=off_2891 on theBenchmark for (2891ds/3706Mi)
% 141.20/21.78 % (1935931)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1514864625:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2890 on theBenchmark for (2890ds/757Mi)
% 141.20/21.78 % (1935772)Instruction limit reached!
% 141.20/21.78 % (1935772)------------------------------
% 141.20/21.78 % (1935772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.78 % (1935772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.78 % (1935772)CaDiCaL version: 2.1.3
% 141.20/21.78 % (1935772)Termination reason: Instruction limit
% 141.20/21.78 % (1935772)Termination phase: Saturation
% 141.20/21.78 % (1935772)Time elapsed: 4.767 s
% 141.20/21.78 % (1935772)Peak memory usage: 267 MB
% 141.20/21.78 % (1935772)Instructions burned: 12112 (million)
% 141.20/21.78 % (1935934)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2285617921:i=13913:ss=axioms:sgt=8_2886 on theBenchmark for (2886ds/13913Mi)
% 141.20/21.78 % (1935931)Instruction limit reached!
% 141.20/21.78 % (1935931)------------------------------
% 141.20/21.78 % (1935931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.78 % (1935931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.78 % (1935931)CaDiCaL version: 2.1.3
% 141.20/21.78 % (1935931)Termination reason: Instruction limit
% 141.20/21.78 % (1935931)Termination phase: Saturation
% 141.20/21.78 % (1935931)Time elapsed: 0.480 s
% 141.20/21.78 % (1935931)Peak memory usage: 130 MB
% 141.20/21.78 % (1935931)Instructions burned: 757 (million)
% 141.20/21.78 % (1935936)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2906096980:i=9925:aac=none_2884 on theBenchmark for (2884ds/9925Mi)
% 141.20/21.78 % (1935930)Instruction limit reached!
% 141.20/21.78 % (1935930)------------------------------
% 141.20/21.78 % (1935930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935930)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935930)Termination reason: Instruction limit
% 90.84/25.04 % (1935930)Termination phase: Saturation
% 90.84/25.04 % (1935930)Time elapsed: 1.889 s
% 90.84/25.04 % (1935930)Peak memory usage: 186 MB
% 90.84/25.04 % (1935930)Instructions burned: 3706 (million)
% 90.84/25.04 % (1935762)Instruction limit reached!
% 90.84/25.04 % (1935762)------------------------------
% 90.84/25.04 % (1935762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935762)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935762)Termination reason: Instruction limit
% 90.84/25.04 % (1935762)Termination phase: Saturation
% 90.84/25.04 % (1935762)Time elapsed: 9.180 s
% 90.84/25.04 % (1935762)Peak memory usage: 739 MB
% 90.84/25.04 % (1935762)Instructions burned: 14158 (million)
% 90.84/25.04 % (1935938)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=722704387:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2871 on theBenchmark for (2871ds/2479Mi)
% 90.84/25.04 % (1935939)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=755317319:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2870 on theBenchmark for (2870ds/440Mi)
% 90.84/25.04 % (1935939)Instruction limit reached!
% 90.84/25.04 % (1935939)------------------------------
% 90.84/25.04 % (1935939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935939)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935939)Termination reason: Instruction limit
% 90.84/25.04 % (1935939)Termination phase: Property scanning
% 90.84/25.04 % (1935939)Time elapsed: 0.105 s
% 90.84/25.04 % (1935939)Peak memory usage: 112 MB
% 90.84/25.04 % (1935939)Instructions burned: 449 (million)
% 90.84/25.04 % (1935942)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3909603064:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2868 on theBenchmark for (2868ds/11145Mi)
% 90.84/25.04 % (1935938)Instruction limit reached!
% 90.84/25.04 % (1935938)------------------------------
% 90.84/25.04 % (1935938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935938)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935938)Termination reason: Instruction limit
% 90.84/25.04 % (1935938)Termination phase: Saturation
% 90.84/25.04 % (1935938)Time elapsed: 1.523 s
% 90.84/25.04 % (1935938)Peak memory usage: 138 MB
% 90.84/25.04 % (1935938)Instructions burned: 2480 (million)
% 90.84/25.04 % (1935944)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=3007587180:cts=off:i=3034:av=off:er=known:fsd=on_2854 on theBenchmark for (2854ds/3034Mi)
% 90.84/25.04 % (1935944)Instruction limit reached!
% 90.84/25.04 % (1935944)------------------------------
% 90.84/25.04 % (1935944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935944)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935944)Termination reason: Instruction limit
% 90.84/25.04 % (1935944)Termination phase: Saturation
% 90.84/25.04 % (1935944)Time elapsed: 1.631 s
% 90.84/25.04 % (1935944)Peak memory usage: 190 MB
% 90.84/25.04 % (1935944)Instructions burned: 3035 (million)
% 90.84/25.04 % (1935946)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1700701630:st=2:s2a=on:i=524:s2at=2:ss=axioms_2836 on theBenchmark for (2836ds/524Mi)
% 90.84/25.04 % (1935946)Instruction limit reached!
% 90.84/25.04 % (1935946)------------------------------
% 90.84/25.04 % (1935946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935946)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935946)Termination reason: Instruction limit
% 90.84/25.04 % (1935946)Termination phase: Preprocessing 1
% 90.84/25.04 % (1935946)Time elapsed: 0.409 s
% 90.84/25.04 % (1935946)Peak memory usage: 114 MB
% 90.84/25.04 % (1935946)Instructions burned: 526 (million)
% 90.84/25.04 % (1935948)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1910071254:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2831 on theBenchmark for (2831ds/1016Mi)
% 90.84/25.04 % (1935942)Instruction limit reached!
% 90.84/25.04 % (1935942)------------------------------
% 90.84/25.04 % (1935942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935942)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935942)Termination reason: Instruction limit
% 90.84/25.04 % (1935942)Termination phase: Saturation
% 90.84/25.04 % (1935942)Time elapsed: 4.100 s
% 90.84/25.04 % (1935942)Peak memory usage: 248 MB
% 90.84/25.04 % (1935942)Instructions burned: 11147 (million)
% 90.84/25.04 % (1935950)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=963565041:i=14123:bd=preordered:ins=4_2826 on theBenchmark for (2826ds/14123Mi)
% 90.84/25.04 % (1935948)Instruction limit reached!
% 90.84/25.04 % (1935948)------------------------------
% 90.84/25.04 % (1935948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935948)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935948)Termination reason: Instruction limit
% 90.84/25.04 % (1935948)Termination phase: Saturation
% 90.84/25.04 % (1935948)Time elapsed: 0.586 s
% 90.84/25.04 % (1935948)Peak memory usage: 134 MB
% 90.84/25.04 % (1935948)Instructions burned: 1016 (million)
% 90.84/25.04 % (1935952)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2211040122:i=5781:kws=precedence:bd=all:rawr=on_2824 on theBenchmark for (2824ds/5781Mi)
% 90.84/25.04 % (1935936)Instruction limit reached!
% 90.84/25.04 % (1935936)------------------------------
% 90.84/25.04 % (1935936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935936)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935936)Termination reason: Instruction limit
% 90.84/25.04 % (1935936)Termination phase: Saturation
% 90.84/25.04 % (1935936)Time elapsed: 7.219 s
% 90.84/25.04 % (1935936)Peak memory usage: 538 MB
% 90.84/25.04 % (1935936)Instructions burned: 9925 (million)
% 90.84/25.04 % (1935954)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=2270148005:i=2448:gtgl=5:bd=preordered:gtg=all_2810 on theBenchmark for (2810ds/2448Mi)
% 90.84/25.04 % (1935934)Instruction limit reached!
% 90.84/25.04 % (1935934)------------------------------
% 90.84/25.04 % (1935934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935934)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935934)Termination reason: Instruction limit
% 90.84/25.04 % (1935934)Termination phase: Saturation
% 90.84/25.04 % (1935934)Time elapsed: 8.680 s
% 90.84/25.04 % (1935934)Peak memory usage: 279 MB
% 90.84/25.04 % (1935934)Instructions burned: 13913 (million)
% 90.84/25.04 % (1935956)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3952688483:i=3223:kws=precedence:fgj=on:av=off_2798 on theBenchmark for (2798ds/3223Mi)
% 90.84/25.04 % (1935954)Instruction limit reached!
% 90.84/25.04 % (1935954)------------------------------
% 90.84/25.04 % (1935954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935954)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935954)Termination reason: Instruction limit
% 90.84/25.04 % (1935954)Termination phase: Function definition elimination
% 90.84/25.04 % (1935954)Time elapsed: 1.368 s
% 90.84/25.04 % (1935954)Peak memory usage: 168 MB
% 90.84/25.04 % (1935954)Instructions burned: 2448 (million)
% 90.84/25.04 % (1935958)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2895779425:st=5.6:i=2033:sd=3:ss=axioms_2795 on theBenchmark for (2795ds/2033Mi)
% 90.84/25.04 % (1935952)Instruction limit reached!
% 90.84/25.04 % (1935952)------------------------------
% 90.84/25.04 % (1935952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935952)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935952)Termination reason: Instruction limit
% 90.84/25.04 % (1935952)Termination phase: Saturation
% 90.84/25.04 % (1935952)Time elapsed: 3.171 s
% 90.84/25.04 % (1935952)Peak memory usage: 200 MB
% 90.84/25.04 % (1935952)Instructions burned: 5781 (million)
% 90.84/25.04 % (1935960)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=4166552443:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2790 on theBenchmark for (2790ds/2055Mi)
% 90.84/25.04 % (1935958)Instruction limit reached!
% 90.84/25.04 % (1935958)------------------------------
% 90.84/25.04 % (1935958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935958)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935958)Termination reason: Instruction limit
% 90.84/25.04 % (1935958)Termination phase: Saturation
% 90.84/25.04 % (1935958)Time elapsed: 1.307 s
% 90.84/25.04 % (1935958)Peak memory usage: 213 MB
% 90.84/25.04 % (1935958)Instructions burned: 2033 (million)
% 90.84/25.04 % (1935956)Instruction limit reached!
% 90.84/25.04 % (1935956)------------------------------
% 90.84/25.04 % (1935956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935956)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935956)Termination reason: Instruction limit
% 90.84/25.04 % (1935956)Termination phase: Saturation
% 90.84/25.04 % (1935956)Time elapsed: 1.788 s
% 90.84/25.04 % (1935956)Peak memory usage: 215 MB
% 90.84/25.04 % (1935956)Instructions burned: 3223 (million)
% 90.84/25.04 % (1935962)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=1460093464:i=21611:sd=3:ss=axioms_2780 on theBenchmark for (2780ds/21611Mi)
% 90.84/25.04 % (1935964)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1222379190:i=4835:sd=13:ss=axioms:sgt=23_2779 on theBenchmark for (2779ds/4835Mi)
% 90.84/25.04 % (1935960)Instruction limit reached!
% 90.84/25.04 % (1935960)------------------------------
% 90.84/25.04 % (1935960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935960)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935960)Termination reason: Instruction limit
% 90.84/25.04 % (1935960)Termination phase: Saturation
% 90.84/25.04 % (1935960)Time elapsed: 1.247 s
% 90.84/25.04 % (1935960)Peak memory usage: 177 MB
% 90.84/25.04 % (1935960)Instructions burned: 2055 (million)
% 90.84/25.04 % (1935966)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=3423411067:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2776 on theBenchmark for (2776ds/797Mi)
% 90.84/25.04 % (1935966)Instruction limit reached!
% 90.84/25.04 % (1935966)------------------------------
% 90.84/25.04 % (1935966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935966)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935966)Termination reason: Instruction limit
% 90.84/25.04 % (1935966)Termination phase: NewCNF
% 90.84/25.04 % (1935966)Time elapsed: 0.616 s
% 90.84/25.04 % (1935966)Peak memory usage: 138 MB
% 90.84/25.04 % (1935966)Instructions burned: 797 (million)
% 90.84/25.04 % (1935950)Instruction limit reached!
% 90.84/25.04 % (1935950)------------------------------
% 90.84/25.04 % (1935950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.84/25.04 % (1935950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.84/25.04 % (1935950)CaDiCaL version: 2.1.3
% 90.84/25.04 % (1935950)Termination reason: Instruction limit
% 90.84/25.04 % (1935950)Termination phase: Saturation
% 90.84/25.04 % (1935950)Time elapsed: 5.634 s
% 90.84/25.04 % (1935950)Peak memory usage: 480 MB
% 90.84/25.04 % (1935950)Instructions burned: 14124 (million)
% 90.84/25.04 % (1935969)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2716241919:i=6038:nm=6_2769 on theBenchmark for (2769ds/6038Mi)
% 90.84/25.04 % (1935968)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3088487243:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2769 on theBenchmark for (2769ds/2326Mi)
% 90.84/25.04 % (1935962)First to succeed.
% 90.84/25.04 % (1935962)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1935701"
% 90.84/25.04 % (1935962)Refutation found. Thanks to Tanya!
% 90.84/25.04 % SZS status Theorem for theBenchmark
% 90.84/25.04 % SZS output start Proof for theBenchmark
% See solution above
% 165.12/25.24 % (1935962)------------------------------
% 165.12/25.24 % (1935962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 165.12/25.24 % (1935962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.12/25.24 % (1935962)CaDiCaL version: 2.1.3
% 165.12/25.24 % (1935962)Termination reason: Refutation
% 165.12/25.24 % (1935962)Time elapsed: 1.745 s
% 165.12/25.24 % (1935962)Peak memory usage: 195 MB
% 165.12/25.24 % (1935962)Instructions burned: 2725 (million)
% 165.12/25.24 % (1935962)------------------------------
% 165.12/25.24 % (1935962)------------------------------
% 165.12/25.24 % (1935701)Success in time 24.163 s
% 165.12/25.24 % Vampire exiting
%------------------------------------------------------------------------------