%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG233+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:19:31 AM UTC 2026
% Result : Theorem 16.11s 6.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 22
% Syntax : Number of formulae : 322 ( 39 unt; 6 def)
% Number of atoms : 1488 ( 52 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2211 (1045 ~;1044 |; 56 &)
% ( 18 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-5 aty)
% Number of variables : 920 ( 904 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( X4 = a_3_0_closure3(X0,X1,X2)
& X3 = k3_tarski(X2) )
=> r6_pboole(X0,k2_closure3(X0,X1,X4),k2_closure3(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_closure3) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( X4 = a_3_0_closure3(X0,X1,X2)
& X3 = k3_tarski(X2) )
=> r6_pboole(X0,k2_closure3(X0,X1,X4),k2_closure3(X0,X1,X3)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f18,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( v6_closure2(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_closure2) ).
fof(f19,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_pboole(X2,X0)
=> ( r6_pboole(X0,X1,X2)
<=> ( r2_pboole(X0,X1,X2)
& r2_pboole(X0,X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_pboole) ).
fof(f20,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(f21,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m4_pboole(X3,X0,X1)
=> ( X3 = k2_closure3(X0,X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X0)
=> k1_funct_1(X3,X4) = k3_tarski(a_4_0_closure3(X0,X1,X2,X4)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_closure3) ).
fof(f22,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(f23,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_pboole(X2,X0)
=> ( r2_pboole(X0,X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X0)
=> r1_tarski(k1_funct_1(X1,X3),k1_funct_1(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_pboole) ).
fof(f28,axiom,
! [X0,X1,X2] :
( ( m1_pboole(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> m4_pboole(k2_closure3(X0,X1,X2),X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_closure3) ).
fof(f30,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( v1_closure2(k6_closure2(X0,X1),X0,X1)
& v2_closure2(k6_closure2(X0,X1),X0,X1)
& v3_closure2(k6_closure2(X0,X1),X0,X1)
& v4_closure2(k6_closure2(X0,X1),X0,X1)
& v5_closure2(k6_closure2(X0,X1),X0,X1)
& v6_closure2(k6_closure2(X0,X1),X0,X1)
& m1_subset_1(k6_closure2(X0,X1),k1_zfmisc_1(k1_closure2(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_closure2) ).
fof(f35,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m4_pboole(X2,X0,X1)
=> m1_pboole(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_pboole) ).
fof(f43,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( ~ v1_xboole_0(k1_closure2(X0,X1))
& v1_fraenkel(k1_closure2(X0,X1))
& v1_pralg_2(k1_closure2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_closure2) ).
fof(f46,axiom,
! [X0,X1,X2,X3] :
( m1_pboole(X2,X1)
=> ( r2_hidden(X0,a_3_0_closure3(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
& X0 = k2_closure3(X1,X2,X4)
& r2_hidden(X4,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_3_0_closure3) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_pboole(X2,X1)
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) )
=> ( r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
<=> ? [X5] :
( m1_closure2(X5,X1,X2,k6_closure2(X1,X2))
& X0 = k1_funct_1(X5,X4)
& r2_hidden(X5,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_4_0_closure3) ).
fof(f72,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> k6_closure2(X0,X1) = k1_closure2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_closure2) ).
fof(f73,axiom,
! [X0,X1,X2] :
( ( m1_pboole(X1,X0)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> ! [X3] :
( m1_closure2(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_closure2) ).
fof(f84,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(f89,plain,
~ ! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( a_3_0_closure3(X0,X1,X2) = X5
& k3_tarski(X2) = X4 )
=> r6_pboole(X0,k2_closure3(X0,X1,X5),k2_closure3(X0,X1,X4)) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f92,plain,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( ~ v1_xboole_0(k1_closure2(X0,X1))
& v1_fraenkel(k1_closure2(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f43]) ).
fof(f94,plain,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( v1_closure2(k6_closure2(X0,X1),X0,X1)
& v2_closure2(k6_closure2(X0,X1),X0,X1)
& v4_closure2(k6_closure2(X0,X1),X0,X1)
& v5_closure2(k6_closure2(X0,X1),X0,X1)
& v6_closure2(k6_closure2(X0,X1),X0,X1)
& m1_subset_1(k6_closure2(X0,X1),k1_zfmisc_1(k1_closure2(X0,X1))) ) ),
inference(pure_predicate_removal,[],[f30]) ).
fof(f102,plain,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( v2_closure2(k6_closure2(X0,X1),X0,X1)
& v4_closure2(k6_closure2(X0,X1),X0,X1)
& v5_closure2(k6_closure2(X0,X1),X0,X1)
& v6_closure2(k6_closure2(X0,X1),X0,X1)
& m1_subset_1(k6_closure2(X0,X1),k1_zfmisc_1(k1_closure2(X0,X1))) ) ),
inference(pure_predicate_removal,[],[f94]) ).
fof(f107,plain,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( v6_closure2(X2,X0,X1)
=> ~ v1_xboole_0(X2) ) ) ),
inference(pure_predicate_removal,[],[f18]) ).
fof(f109,plain,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ~ v1_xboole_0(k1_closure2(X0,X1)) ),
inference(pure_predicate_removal,[],[f92]) ).
fof(f116,plain,
? [X0,X1] :
( ? [X2] :
( ? [X4] :
( ? [X5] :
( ~ r6_pboole(X0,k2_closure3(X0,X1,X5),k2_closure3(X0,X1,X4))
& a_3_0_closure3(X0,X1,X2) = X5
& k3_tarski(X2) = X4
& m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X3,X2) ) )
& m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f117,plain,
? [X0,X1] :
( ? [X2] :
( ? [X4] :
( ? [X5] :
( ~ r6_pboole(X0,k2_closure3(X0,X1,X5),k2_closure3(X0,X1,X4))
& a_3_0_closure3(X0,X1,X2) = X5
& k3_tarski(X2) = X4
& m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X3,X2) ) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f116]) ).
fof(f138,plain,
! [X0,X1] :
( ! [X2] :
( ~ v1_xboole_0(X2)
| ~ v6_closure2(X2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] :
( ~ v1_xboole_0(X2)
| ~ v6_closure2(X2,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( ! [X2] :
( ( r6_pboole(X0,X1,X2)
<=> ( r2_pboole(X0,X1,X2)
& r2_pboole(X0,X2,X1) ) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f141,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k2_closure3(X0,X1,X2)
<=> ! [X4] :
( k1_funct_1(X3,X4) = k3_tarski(a_4_0_closure3(X0,X1,X2,X4))
| ~ r2_hidden(X4,X0) ) )
| ~ m4_pboole(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f143,plain,
! [X0,X1] :
( ! [X2] :
( ( r2_pboole(X0,X1,X2)
<=> ! [X3] :
( r1_tarski(k1_funct_1(X1,X3),k1_funct_1(X2,X3))
| ~ r2_hidden(X3,X0) ) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f144,plain,
! [X0,X1,X2] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f145,plain,
! [X0,X1,X2] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( ( v2_closure2(k6_closure2(X0,X1),X0,X1)
& v4_closure2(k6_closure2(X0,X1),X0,X1)
& v5_closure2(k6_closure2(X0,X1),X0,X1)
& v6_closure2(k6_closure2(X0,X1),X0,X1)
& m1_subset_1(k6_closure2(X0,X1),k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f152,plain,
! [X0,X1] :
( ! [X2] :
( m1_pboole(X2,X0)
| ~ m4_pboole(X2,X0,X1) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f158,plain,
! [X0,X1] :
( ~ v1_xboole_0(k1_closure2(X0,X1))
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_closure3(X1,X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
& X0 = k2_closure3(X1,X2,X4)
& r2_hidden(X4,X3) ) )
| ~ m1_pboole(X2,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
<=> ? [X5] :
( m1_closure2(X5,X1,X2,k6_closure2(X1,X2))
& X0 = k1_funct_1(X5,X4)
& r2_hidden(X5,X3) ) )
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
inference(ennf_transformation,[],[f47]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
<=> ? [X5] :
( m1_closure2(X5,X1,X2,k6_closure2(X1,X2))
& X0 = k1_funct_1(X5,X4)
& r2_hidden(X5,X3) ) )
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
inference(flattening,[],[f164]) ).
fof(f180,plain,
! [X0,X1] :
( k6_closure2(X0,X1) = k1_closure2(X0,X1)
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_closure2(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(ennf_transformation,[],[f73]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_closure2(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(flattening,[],[f181]) ).
fof(f197,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f84]) ).
fof(f198,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f197]) ).
fof(f203,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f117]) ).
fof(f204,plain,
sK3 = k3_tarski(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f205,plain,
sK4 = a_3_0_closure3(sK0,sK1,sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f206,plain,
~ r6_pboole(sK0,k2_closure3(sK0,sK1,sK4),k2_closure3(sK0,sK1,sK3)),
inference(cnf_transformation,[],[f117]) ).
fof(f207,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f117]) ).
fof(f208,plain,
! [X3] :
( ~ r2_hidden(X3,sK2)
| m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(cnf_transformation,[],[f117]) ).
fof(f209,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0)
| ~ v6_closure2(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ r2_pboole(X0,X2,X1)
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X1,X0)
| ~ r2_pboole(X0,X1,X2)
| r6_pboole(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f226,plain,
! [X0,X1] :
( r2_hidden(sK5(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f227,plain,
! [X0,X1] :
( ~ r2_hidden(sK5(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m4_pboole(X3,X0,X1)
| ~ r2_hidden(X4,X0)
| k1_funct_1(X3,X4) = k3_tarski(a_4_0_closure3(X0,X1,X2,X4))
| k2_closure3(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f142]) ).
fof(f234,plain,
! [X2,X0,X1] :
( r2_hidden(sK8(X0,X2),X0)
| ~ r2_hidden(X2,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f235,plain,
! [X2,X0,X1] :
( r2_hidden(X2,sK8(X0,X2))
| ~ r2_hidden(X2,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3)
| r2_hidden(X2,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f238,plain,
! [X2,X0,X1] :
( r2_hidden(sK10(X0,X1,X2),X0)
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X1,X0)
| r2_pboole(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k1_funct_1(X1,sK10(X0,X1,X2)),k1_funct_1(X2,sK10(X0,X1,X2)))
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X1,X0)
| r2_pboole(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f240,plain,
! [X2,X0,X1] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f145]) ).
fof(f241,plain,
! [X0,X1] :
( m1_subset_1(k6_closure2(X0,X1),k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f242,plain,
! [X0,X1] :
( v6_closure2(k6_closure2(X0,X1),X0,X1)
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ m4_pboole(X2,X0,X1)
| ~ m1_pboole(X1,X0)
| m1_pboole(X2,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f258,plain,
! [X0,X1] :
( ~ v1_xboole_0(k1_closure2(X0,X1))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK16(X0,X1,X2,X3),X3)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X0,a_3_0_closure3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( k2_closure3(X1,X2,sK16(X0,X1,X2,X3)) = X0
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X0,a_3_0_closure3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f267,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_pboole(X2,X1)
| ~ r2_hidden(X4,X3)
| k2_closure3(X1,X2,X4) != X0
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| r2_hidden(X0,a_3_0_closure3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK17(X0,X1,X2,X3,X4),X3)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X4] :
( k1_funct_1(sK17(X0,X1,X2,X3,X4),X4) = X0
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4] :
( m1_closure2(sK17(X0,X1,X2,X3,X4),X1,X2,k6_closure2(X1,X2))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f271,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X3)
| k1_funct_1(X5,X4) != X0
| ~ m1_closure2(X5,X1,X2,k6_closure2(X1,X2))
| r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f348,plain,
! [X0,X1] :
( k1_closure2(X0,X1) = k6_closure2(X0,X1)
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f349,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| v1_xboole_0(X2)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X3,X2)
| m1_closure2(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f350,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| v1_xboole_0(X2)
| ~ m1_pboole(X1,X0)
| m1_subset_1(X3,X2)
| ~ m1_closure2(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f365,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f370,plain,
! [X2,X0,X1,X4] :
( ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ r2_hidden(X4,X0)
| k3_tarski(a_4_0_closure3(X0,X1,X2,X4)) = k1_funct_1(k2_closure3(X0,X1,X2),X4) ),
inference(equality_resolution,[],[f228]) ).
fof(f371,plain,
! [X2,X3,X0] :
( r2_hidden(X2,k3_tarski(X0))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) ),
inference(equality_resolution,[],[f236]) ).
fof(f372,plain,
! [X2,X0] :
( r2_hidden(X2,sK8(X0,X2))
| ~ r2_hidden(X2,k3_tarski(X0)) ),
inference(equality_resolution,[],[f235]) ).
fof(f373,plain,
! [X2,X0] :
( r2_hidden(sK8(X0,X2),X0)
| ~ r2_hidden(X2,k3_tarski(X0)) ),
inference(equality_resolution,[],[f234]) ).
fof(f374,plain,
! [X2,X3,X1,X4] :
( r2_hidden(k2_closure3(X1,X2,X4),a_3_0_closure3(X1,X2,X3))
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1) ),
inference(equality_resolution,[],[f267]) ).
fof(f375,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k1_funct_1(X5,X4),a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X3)
| ~ m1_closure2(X5,X1,X2,k6_closure2(X1,X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
inference(equality_resolution,[],[f271]) ).
fof(f380,definition,
sF43 = k1_closure2(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF43])],[function_definition]) ).
fof(f381,plain,
k1_closure2(sK0,sK1) = sF43,
inference(reorient_equations,[],[f380]) ).
fof(f382,definition,
sF44 = k1_zfmisc_1(sF43),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f383,plain,
k1_zfmisc_1(sF43) = sF44,
inference(reorient_equations,[],[f382]) ).
fof(f384,plain,
! [X3] :
( ~ r2_hidden(X3,sK2)
| m1_subset_1(X3,sF44) ),
inference(definition_folding,[],[f208,f383,f381]) ).
fof(f385,plain,
m1_subset_1(sK3,sF44),
inference(definition_folding,[],[f207,f383,f381]) ).
fof(f386,definition,
sF45 = k2_closure3(sK0,sK1,sK4),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
fof(f387,plain,
k2_closure3(sK0,sK1,sK4) = sF45,
inference(reorient_equations,[],[f386]) ).
fof(f388,definition,
sF46 = k2_closure3(sK0,sK1,sK3),
introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).
fof(f389,plain,
k2_closure3(sK0,sK1,sK3) = sF46,
inference(reorient_equations,[],[f388]) ).
fof(f390,plain,
~ r6_pboole(sK0,sF45,sF46),
inference(definition_folding,[],[f206,f389,f387]) ).
fof(f391,definition,
sF47 = a_3_0_closure3(sK0,sK1,sK2),
introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).
fof(f392,plain,
a_3_0_closure3(sK0,sK1,sK2) = sF47,
inference(reorient_equations,[],[f391]) ).
fof(f393,plain,
sK4 = sF47,
inference(definition_folding,[],[f205,f392]) ).
fof(f394,definition,
sF48 = k3_tarski(sK2),
introduced(definition,[new_symbols(definition,[sF48])],[function_definition]) ).
fof(f395,plain,
k3_tarski(sK2) = sF48,
inference(reorient_equations,[],[f394]) ).
fof(f396,plain,
sK3 = sF48,
inference(definition_folding,[],[f204,f395]) ).
fof(f397,plain,
m1_subset_1(sK4,sF44),
inference(definition_folding,[],[f203,f383,f381]) ).
fof(f399,plain,
! [X2,X0,X1,X4] :
( k3_tarski(a_4_0_closure3(X0,X1,X2,X4)) = k1_funct_1(k2_closure3(X0,X1,X2),X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X4,X0)
| ~ m1_pboole(X1,X0) ),
inference(forward_subsumption_resolution,[],[f370,f240]) ).
fof(f400,plain,
sK4 = a_3_0_closure3(sK0,sK1,sK2),
inference(forward_demodulation,[],[f392,f393]) ).
fof(f401,plain,
sK3 = k3_tarski(sK2),
inference(forward_demodulation,[],[f395,f396]) ).
fof(f408,plain,
! [X0] :
( r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| ~ r2_hidden(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f374,f400]) ).
fof(f410,plain,
! [X0] :
( r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| ~ r2_hidden(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f408,f209]) ).
fof(f414,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| ~ r2_hidden(X0,sK2) ),
inference(forward_demodulation,[],[f410,f381]) ).
fof(f417,plain,
! [X0] :
( ~ m1_subset_1(X0,sF44)
| r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| ~ r2_hidden(X0,sK2) ),
inference(forward_demodulation,[],[f414,f383]) ).
fof(f420,plain,
! [X0] :
( r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| ~ r2_hidden(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f417,f384]) ).
fof(f441,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,k1_funct_1(k2_closure3(X1,X2,X3),X4))
| ~ r2_hidden(X0,X5)
| ~ r2_hidden(X5,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X4,X1)
| ~ m1_pboole(X2,X1) ),
inference(superposition,[],[f371,f399]) ).
fof(f462,plain,
( m4_pboole(sF45,sK0,sK1)
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(superposition,[],[f240,f387]) ).
fof(f463,plain,
( m4_pboole(sF46,sK0,sK1)
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(superposition,[],[f240,f389]) ).
fof(f467,plain,
( m4_pboole(sF46,sK0,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f463,f209]) ).
fof(f468,plain,
( m4_pboole(sF45,sK0,sK1)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f462,f209]) ).
fof(f469,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF43))
| m4_pboole(sF46,sK0,sK1) ),
inference(forward_demodulation,[],[f467,f381]) ).
fof(f470,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF43))
| m4_pboole(sF45,sK0,sK1) ),
inference(forward_demodulation,[],[f468,f381]) ).
fof(f471,plain,
( ~ m1_subset_1(sK3,sF44)
| m4_pboole(sF46,sK0,sK1) ),
inference(forward_demodulation,[],[f469,f383]) ).
fof(f472,plain,
( ~ m1_subset_1(sK4,sF44)
| m4_pboole(sF45,sK0,sK1) ),
inference(forward_demodulation,[],[f470,f383]) ).
fof(f473,plain,
m4_pboole(sF46,sK0,sK1),
inference(forward_subsumption_resolution,[],[f471,f385]) ).
fof(f474,plain,
m4_pboole(sF45,sK0,sK1),
inference(forward_subsumption_resolution,[],[f472,f397]) ).
fof(f486,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| v1_xboole_0(X0)
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X1,X0)
| m1_closure2(X1,sK0,sK1,X0) ),
inference(superposition,[],[f349,f381]) ).
fof(f488,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| m1_closure2(X1,sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f486,f209]) ).
fof(f489,plain,
! [X0,X1] :
( m1_closure2(X1,sK0,sK1,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0)
| ~ m1_subset_1(X0,sF44) ),
inference(forward_demodulation,[],[f488,f383]) ).
fof(f494,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_closure2(sK17(X0,X1,X2,X3,X4),X5,X6,k6_closure2(X5,X6))
| ~ m1_pboole(X6,X5)
| ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X7)
| r2_hidden(X0,a_4_0_closure3(X5,X6,X7,X4))
| ~ m1_subset_1(X7,k1_zfmisc_1(k1_closure2(X5,X6)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4)) ),
inference(superposition,[],[f375,f269]) ).
fof(f500,plain,
( ~ m1_pboole(sK1,sK0)
| m1_pboole(sF45,sK0) ),
inference(resolution,[],[f250,f474]) ).
fof(f501,plain,
( ~ m1_pboole(sK1,sK0)
| m1_pboole(sF46,sK0) ),
inference(resolution,[],[f250,f473]) ).
fof(f503,plain,
m1_pboole(sF46,sK0),
inference(forward_subsumption_resolution,[],[f501,f209]) ).
fof(f504,plain,
m1_pboole(sF45,sK0),
inference(forward_subsumption_resolution,[],[f500,f209]) ).
fof(f556,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,sF43) ),
inference(superposition,[],[f365,f383]) ).
fof(f569,plain,
( ~ v1_xboole_0(sF43)
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f258,f381]) ).
fof(f570,plain,
~ v1_xboole_0(sF43),
inference(forward_subsumption_resolution,[],[f569,f209]) ).
fof(f702,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| ~ m1_pboole(sK1,sK0)
| ~ v6_closure2(X0,sK0,sK1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[],[f221,f381]) ).
fof(f704,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| ~ v6_closure2(X0,sK0,sK1)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f702,f209]) ).
fof(f705,plain,
! [X0] :
( ~ v6_closure2(X0,sK0,sK1)
| ~ m1_subset_1(X0,sF44)
| ~ v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f704,f383]) ).
fof(f715,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| v1_xboole_0(X0)
| ~ m1_pboole(sK1,sK0)
| m1_subset_1(X1,X0)
| ~ m1_closure2(X1,sK0,sK1,X0) ),
inference(superposition,[],[f350,f381]) ).
fof(f717,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| v1_xboole_0(X0)
| m1_subset_1(X1,X0)
| ~ m1_closure2(X1,sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f715,f209]) ).
fof(f718,plain,
! [X0,X1] :
( ~ m1_closure2(X1,sK0,sK1,X0)
| v1_xboole_0(X0)
| m1_subset_1(X1,X0)
| ~ m1_subset_1(X0,sF44) ),
inference(forward_demodulation,[],[f717,f383]) ).
fof(f770,plain,
( ~ m1_subset_1(k6_closure2(sK0,sK1),sF44)
| ~ v1_xboole_0(k6_closure2(sK0,sK1))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f705,f242]) ).
fof(f771,plain,
( ~ m1_subset_1(k6_closure2(sK0,sK1),sF44)
| ~ v1_xboole_0(k6_closure2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f770,f209]) ).
fof(f773,plain,
! [X2,X0,X1] :
( ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X0,X2))
| v1_xboole_0(k6_closure2(sK0,sK1))
| m1_subset_1(sK17(X1,sK0,sK1,X0,X2),k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(resolution,[],[f270,f718]) ).
fof(f778,plain,
! [X2,X0,X1] :
( ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X0,X2))
| m1_subset_1(sK17(X1,sK0,sK1,X0,X2),k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(forward_subsumption_resolution,[],[f773,f771]) ).
fof(f780,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X0,X2))
| m1_subset_1(sK17(X1,sK0,sK1,X0,X2),k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(forward_subsumption_resolution,[],[f778,f209]) ).
fof(f782,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X0,X2))
| m1_subset_1(sK17(X1,sK0,sK1,X0,X2),k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(forward_demodulation,[],[f780,f381]) ).
fof(f784,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X0,X2))
| m1_subset_1(sK17(X1,sK0,sK1,X0,X2),k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(forward_demodulation,[],[f782,f383]) ).
fof(f886,plain,
( m1_subset_1(k6_closure2(sK0,sK1),k1_zfmisc_1(sF43))
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f241,f381]) ).
fof(f898,plain,
m1_subset_1(k6_closure2(sK0,sK1),k1_zfmisc_1(sF43)),
inference(forward_subsumption_resolution,[],[f886,f209]) ).
fof(f903,plain,
m1_subset_1(k6_closure2(sK0,sK1),sF44),
inference(forward_demodulation,[],[f898,f383]) ).
fof(f910,plain,
! [X2,X0,X1] :
( m1_subset_1(sK17(X1,sK0,sK1,X0,X2),k6_closure2(sK0,sK1))
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X0,X2))
| ~ m1_subset_1(X0,sF44) ),
inference(backward_subsumption_resolution,[],[f784,f903]) ).
fof(f912,plain,
~ v1_xboole_0(k6_closure2(sK0,sK1)),
inference(backward_subsumption_resolution,[],[f771,f903]) ).
fof(f916,plain,
( m1_subset_1(k1_closure2(sK0,sK1),sF44)
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f903,f348]) ).
fof(f917,plain,
m1_subset_1(k1_closure2(sK0,sK1),sF44),
inference(forward_subsumption_resolution,[],[f916,f209]) ).
fof(f918,plain,
m1_subset_1(sF43,sF44),
inference(forward_demodulation,[],[f917,f381]) ).
fof(f1037,plain,
! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,sF43) ),
inference(resolution,[],[f556,f397]) ).
fof(f1116,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK4,X1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,sK0)
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f441,f387]) ).
fof(f1117,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(sF46,X1))
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,sK0)
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f441,f389]) ).
fof(f1121,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(sF46,X1))
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,sK0) ),
inference(forward_subsumption_resolution,[],[f1117,f209]) ).
fof(f1122,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK4,X1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,sK0) ),
inference(forward_subsumption_resolution,[],[f1116,f209]) ).
fof(f1123,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF43))
| r2_hidden(X2,k1_funct_1(sF46,X1))
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X1,sK0) ),
inference(forward_demodulation,[],[f1121,f381]) ).
fof(f1124,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF43))
| r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK4,X1))
| ~ r2_hidden(X1,sK0) ),
inference(forward_demodulation,[],[f1122,f381]) ).
fof(f1125,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK3,sF44)
| r2_hidden(X2,k1_funct_1(sF46,X1))
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X1,sK0) ),
inference(forward_demodulation,[],[f1123,f383]) ).
fof(f1126,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK4,sF44)
| r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK4,X1))
| ~ r2_hidden(X1,sK0) ),
inference(forward_demodulation,[],[f1124,f383]) ).
fof(f1127,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,k1_funct_1(sF46,X1))
| ~ r2_hidden(X1,sK0) ),
inference(forward_subsumption_resolution,[],[f1125,f385]) ).
fof(f1128,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK4,X1))
| ~ r2_hidden(X0,X2)
| r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0) ),
inference(forward_subsumption_resolution,[],[f1126,f397]) ).
fof(f1129,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(X1,X2))
| r2_hidden(X0,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ m1_pboole(sK1,sK0)
| ~ r2_hidden(X1,sK4)
| ~ m1_closure2(X1,sK0,sK1,k6_closure2(sK0,sK1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(resolution,[],[f1128,f375]) ).
fof(f1142,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(X1,X2))
| r2_hidden(X0,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ r2_hidden(X1,sK4)
| ~ m1_closure2(X1,sK0,sK1,k6_closure2(sK0,sK1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f1129,f209]) ).
fof(f1143,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF43))
| ~ r2_hidden(X0,k1_funct_1(X1,X2))
| r2_hidden(X0,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ r2_hidden(X1,sK4)
| ~ m1_closure2(X1,sK0,sK1,k6_closure2(sK0,sK1)) ),
inference(forward_demodulation,[],[f1142,f381]) ).
fof(f1144,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK4,sF44)
| ~ r2_hidden(X0,k1_funct_1(X1,X2))
| r2_hidden(X0,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ r2_hidden(X1,sK4)
| ~ m1_closure2(X1,sK0,sK1,k6_closure2(sK0,sK1)) ),
inference(forward_demodulation,[],[f1143,f383]) ).
fof(f1145,plain,
! [X2,X0,X1] :
( ~ m1_closure2(X1,sK0,sK1,k6_closure2(sK0,sK1))
| r2_hidden(X0,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ r2_hidden(X1,sK4)
| ~ r2_hidden(X0,k1_funct_1(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f1144,f397]) ).
fof(f1166,plain,
! [X2,X0,X1] :
( ~ m1_closure2(X0,sK0,sK1,k1_closure2(sK0,sK1))
| r2_hidden(X1,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ r2_hidden(X0,sK4)
| ~ r2_hidden(X1,k1_funct_1(X0,X2))
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f1145,f348]) ).
fof(f1167,plain,
! [X2,X0,X1] :
( ~ m1_closure2(X0,sK0,sK1,k1_closure2(sK0,sK1))
| r2_hidden(X1,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ r2_hidden(X0,sK4)
| ~ r2_hidden(X1,k1_funct_1(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f1166,f209]) ).
fof(f1171,plain,
! [X2,X0,X1] :
( ~ m1_closure2(X0,sK0,sK1,sF43)
| r2_hidden(X1,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ r2_hidden(X0,sK4)
| ~ r2_hidden(X1,k1_funct_1(X0,X2)) ),
inference(forward_demodulation,[],[f1167,f381]) ).
fof(f1179,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X2,sK4)
| ~ r2_hidden(X0,k1_funct_1(X2,X1))
| v1_xboole_0(sF43)
| ~ m1_subset_1(X2,sF43)
| ~ m1_subset_1(sF43,sF44) ),
inference(resolution,[],[f1171,f489]) ).
fof(f1183,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X2,sK4)
| ~ r2_hidden(X0,k1_funct_1(X2,X1))
| v1_xboole_0(sF43)
| ~ m1_subset_1(sF43,sF44) ),
inference(forward_subsumption_resolution,[],[f1179,f1037]) ).
fof(f1185,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X2,sK4)
| ~ r2_hidden(X0,k1_funct_1(X2,X1))
| ~ m1_subset_1(sF43,sF44) ),
inference(forward_subsumption_resolution,[],[f1183,f570]) ).
fof(f1187,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(X2,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X2,sK4)
| r2_hidden(X0,k1_funct_1(sF45,X1)) ),
inference(forward_subsumption_resolution,[],[f1185,f918]) ).
fof(f1189,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X5,a_4_0_closure3(X1,X2,X3,X0))
| ~ r2_hidden(k2_closure3(X1,X2,X3),sK4)
| r2_hidden(X4,k1_funct_1(sF45,X0))
| ~ r2_hidden(X4,X5)
| ~ r2_hidden(X0,sK0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,X1)
| ~ m1_pboole(X2,X1) ),
inference(resolution,[],[f1187,f441]) ).
fof(f2097,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_pboole(sK1,sK0)
| ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| v1_xboole_0(k6_closure2(sK0,sK1))
| ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(resolution,[],[f494,f489]) ).
fof(f2101,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| v1_xboole_0(k6_closure2(sK0,sK1))
| ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(forward_subsumption_resolution,[],[f2097,f209]) ).
fof(f2102,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(forward_subsumption_resolution,[],[f2101,f912]) ).
fof(f2103,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),k6_closure2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f2102,f903]) ).
fof(f2104,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(sF43))
| ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),k6_closure2(sK0,sK1)) ),
inference(forward_demodulation,[],[f2103,f381]) ).
fof(f2105,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),k6_closure2(sK0,sK1))
| ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(X5,sF44) ),
inference(forward_demodulation,[],[f2104,f383]) ).
fof(f2106,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_subset_1(X3,sF44)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_subset_1(X1,sF44) ),
inference(resolution,[],[f2105,f910]) ).
fof(f2107,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),k1_closure2(sK0,sK1))
| ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(X5,sF44)
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f2105,f348]) ).
fof(f2108,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_subset_1(X3,sF44)
| ~ m1_subset_1(X1,sF44) ),
inference(duplicate_literal_removal,[],[f2106]) ).
fof(f2109,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),k1_closure2(sK0,sK1))
| ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(X5,sF44) ),
inference(forward_subsumption_resolution,[],[f2107,f209]) ).
fof(f2110,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_subset_1(X3,sF44)
| ~ m1_subset_1(X1,sF44) ),
inference(forward_subsumption_resolution,[],[f2108,f209]) ).
fof(f2111,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(sK17(X0,X1,X2,X3,X4),sF43)
| ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(X5,sF44) ),
inference(forward_demodulation,[],[f2109,f381]) ).
fof(f2112,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF43))
| ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_subset_1(X3,sF44)
| ~ m1_subset_1(X1,sF44) ),
inference(forward_demodulation,[],[f2110,f381]) ).
fof(f2113,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(sK17(X0,X1,X2,X3,X4),X5)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X5,X4))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X0,a_4_0_closure3(X1,X2,X3,X4))
| ~ m1_subset_1(X5,sF44) ),
inference(forward_subsumption_resolution,[],[f2111,f556]) ).
fof(f2114,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,sF44)
| ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_subset_1(X3,sF44)
| ~ m1_subset_1(X1,sF44) ),
inference(forward_demodulation,[],[f2112,f383]) ).
fof(f2115,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| ~ m1_subset_1(X1,sF44)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_subset_1(X3,sF44) ),
inference(duplicate_literal_removal,[],[f2114]) ).
fof(f2121,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK17(X1,sK0,sK1,X0,X3),X4)
| r2_hidden(X1,a_4_0_closure3(sK0,sK1,k3_tarski(X2),X3))
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X0,X3))
| ~ m1_subset_1(k3_tarski(X2),sF44)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X4,X2) ),
inference(resolution,[],[f2115,f371]) ).
fof(f2129,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_pboole(X3,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(X4,X3)))
| ~ r2_hidden(X0,a_4_0_closure3(X4,X3,X1,X2))
| ~ m1_subset_1(X1,sF44)
| ~ m1_pboole(X3,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(X4,X3)))
| ~ r2_hidden(X0,a_4_0_closure3(X4,X3,X1,X2)) ),
inference(resolution,[],[f2113,f268]) ).
fof(f2139,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,a_4_0_closure3(X4,X3,X1,X2))
| ~ m1_pboole(X3,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(X4,X3)))
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2))
| ~ m1_subset_1(X1,sF44) ),
inference(duplicate_literal_removal,[],[f2129]) ).
fof(f2140,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_pboole(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| r2_hidden(k1_funct_1(X3,X4),a_4_0_closure3(sK0,sK1,X2,X4))
| ~ m1_subset_1(X2,sF44)
| ~ m1_pboole(X0,X1)
| ~ r2_hidden(X3,X2)
| ~ m1_closure2(X3,X1,X0,k6_closure2(X1,X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0))) ),
inference(resolution,[],[f2139,f375]) ).
fof(f2153,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(k1_funct_1(X3,X4),a_4_0_closure3(sK0,sK1,X2,X4))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| ~ m1_pboole(X0,X1)
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X3,X2)
| ~ m1_closure2(X3,X1,X0,k6_closure2(X1,X0)) ),
inference(duplicate_literal_removal,[],[f2140]) ).
fof(f2232,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X3,X0)
| ~ m1_closure2(X3,X1,X2,k6_closure2(X1,X2))
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X4,k1_funct_1(sF45,X5))
| ~ r2_hidden(X4,k1_funct_1(X3,X5))
| ~ r2_hidden(X5,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X5,sK0)
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f2153,f1189]) ).
fof(f2242,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X3,X0)
| ~ m1_closure2(X3,X1,X2,k6_closure2(X1,X2))
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X4,k1_funct_1(sF45,X5))
| ~ r2_hidden(X4,k1_funct_1(X3,X5))
| ~ r2_hidden(X5,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(duplicate_literal_removal,[],[f2232]) ).
fof(f2247,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X3,X0)
| ~ m1_closure2(X3,X1,X2,k6_closure2(X1,X2))
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X4,k1_funct_1(sF45,X5))
| ~ r2_hidden(X4,k1_funct_1(X3,X5))
| ~ r2_hidden(X5,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f2242,f209]) ).
fof(f2250,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X3,X0)
| ~ m1_closure2(X3,X1,X2,k6_closure2(X1,X2))
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X4,k1_funct_1(sF45,X5))
| ~ r2_hidden(X4,k1_funct_1(X3,X5))
| ~ r2_hidden(X5,sK0) ),
inference(forward_demodulation,[],[f2247,f381]) ).
fof(f2252,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,sF44)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X3,X0)
| ~ m1_closure2(X3,X1,X2,k6_closure2(X1,X2))
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X4,k1_funct_1(sF45,X5))
| ~ r2_hidden(X4,k1_funct_1(X3,X5))
| ~ r2_hidden(X5,sK0) ),
inference(forward_demodulation,[],[f2250,f383]) ).
fof(f2253,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_closure2(X3,X1,X2,k6_closure2(X1,X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X3,X0)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X4,k1_funct_1(sF45,X5))
| ~ r2_hidden(X4,k1_funct_1(X3,X5))
| ~ r2_hidden(X5,sK0) ),
inference(duplicate_literal_removal,[],[f2252]) ).
fof(f2256,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X1,X3))
| ~ r2_hidden(X3,sK0)
| v1_xboole_0(k6_closure2(sK0,sK1))
| ~ m1_subset_1(X1,k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(resolution,[],[f2253,f489]) ).
fof(f2264,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X1,X3))
| ~ r2_hidden(X3,sK0)
| v1_xboole_0(k6_closure2(sK0,sK1))
| ~ m1_subset_1(X1,k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(forward_subsumption_resolution,[],[f2256,f209]) ).
fof(f2266,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X1,X3))
| ~ r2_hidden(X3,sK0)
| ~ m1_subset_1(X1,k6_closure2(sK0,sK1))
| ~ m1_subset_1(k6_closure2(sK0,sK1),sF44) ),
inference(forward_subsumption_resolution,[],[f2264,f912]) ).
fof(f2267,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X1,X3))
| ~ r2_hidden(X3,sK0)
| ~ m1_subset_1(X1,k6_closure2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f2266,f903]) ).
fof(f2268,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X1,X3))
| ~ r2_hidden(X3,sK0)
| ~ m1_subset_1(X1,k6_closure2(sK0,sK1)) ),
inference(forward_demodulation,[],[f2267,f381]) ).
fof(f2269,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X1,X3))
| ~ r2_hidden(X3,sK0)
| ~ m1_subset_1(X1,k6_closure2(sK0,sK1)) ),
inference(forward_demodulation,[],[f2268,f383]) ).
fof(f2270,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k2_closure3(sK0,sK1,X0),sK4)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,sF44)
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X1,X3))
| ~ r2_hidden(X3,sK0)
| ~ m1_subset_1(X1,k6_closure2(sK0,sK1)) ),
inference(duplicate_literal_removal,[],[f2269]) ).
fof(f2271,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,sF44)
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X0,X3))
| ~ r2_hidden(X3,sK0)
| ~ m1_subset_1(X0,k6_closure2(sK0,sK1))
| ~ r2_hidden(X1,sK2) ),
inference(resolution,[],[f2270,f420]) ).
fof(f2277,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k6_closure2(sK0,sK1))
| r2_hidden(X2,k1_funct_1(sF45,X3))
| ~ r2_hidden(X2,k1_funct_1(X0,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,sK2) ),
inference(forward_subsumption_resolution,[],[f2271,f384]) ).
fof(f2279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X0,k1_funct_1(sK17(X2,sK0,sK1,X3,X4),X1))
| r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(sK17(X2,sK0,sK1,X3,X4),X5)
| ~ r2_hidden(X5,sK2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,X3,X4))
| ~ m1_subset_1(X3,sF44) ),
inference(resolution,[],[f2277,f910]) ).
fof(f2346,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X1,X0)
| r2_hidden(X1,k1_funct_1(sF45,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_subset_1(X2,sF44)
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(superposition,[],[f2279,f269]) ).
fof(f2347,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X1,X0)
| r2_hidden(X1,k1_funct_1(sF45,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_subset_1(X2,sF44)
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(duplicate_literal_removal,[],[f2346]) ).
fof(f2348,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X1,X0)
| r2_hidden(X1,k1_funct_1(sF45,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_subset_1(X2,sF44)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f2347,f209]) ).
fof(f2349,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(sF43))
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k1_funct_1(sF45,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_subset_1(X2,sF44) ),
inference(forward_demodulation,[],[f2348,f381]) ).
fof(f2350,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k1_funct_1(sF45,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_subset_1(X2,sF44) ),
inference(forward_demodulation,[],[f2349,f383]) ).
fof(f2351,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k1_funct_1(sF45,X3))
| ~ r2_hidden(X3,sK0)
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X4,sK2)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(duplicate_literal_removal,[],[f2350]) ).
fof(f2360,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK8(X4,sK17(X1,sK0,sK1,X3,X2)),sK2)
| r2_hidden(X0,k1_funct_1(sF45,X2))
| ~ r2_hidden(X2,sK0)
| ~ m1_subset_1(X3,sF44)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ r2_hidden(sK17(X1,sK0,sK1,X3,X2),k3_tarski(X4)) ),
inference(resolution,[],[f2351,f372]) ).
fof(f2526,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(X3,a_4_0_closure3(sK0,sK1,X2,X1))
| ~ r2_hidden(sK17(X3,sK0,sK1,X2,X1),k3_tarski(sK2))
| ~ r2_hidden(sK17(X3,sK0,sK1,X2,X1),k3_tarski(sK2)) ),
inference(resolution,[],[f2360,f373]) ).
fof(f2527,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(X3,a_4_0_closure3(sK0,sK1,X2,X1))
| ~ r2_hidden(sK17(X3,sK0,sK1,X2,X1),k3_tarski(sK2)) ),
inference(duplicate_literal_removal,[],[f2526]) ).
fof(f2528,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK17(X3,sK0,sK1,X2,X1),sK3)
| r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X0,X3)
| ~ r2_hidden(X3,a_4_0_closure3(sK0,sK1,X2,X1)) ),
inference(forward_demodulation,[],[f2527,f401]) ).
fof(f2529,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ m1_subset_1(sK3,sF44)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK3,X1)) ),
inference(resolution,[],[f2528,f268]) ).
fof(f2530,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ m1_subset_1(sK3,sF44)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(duplicate_literal_removal,[],[f2529]) ).
fof(f2531,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f2530,f385]) ).
fof(f2532,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f2531,f209]) ).
fof(f2533,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF43))
| r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK3,X1)) ),
inference(forward_demodulation,[],[f2532,f381]) ).
fof(f2534,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(sK3,sF44)
| r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,X2)
| ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK3,X1)) ),
inference(forward_demodulation,[],[f2533,f383]) ).
fof(f2535,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,X2)
| r2_hidden(X0,k1_funct_1(sF45,X1)) ),
inference(forward_subsumption_resolution,[],[f2534,f385]) ).
fof(f2540,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,sK8(a_4_0_closure3(sK0,sK1,sK3,X0),X2))
| ~ r2_hidden(X0,sK0)
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X2,k3_tarski(a_4_0_closure3(sK0,sK1,sK3,X0))) ),
inference(resolution,[],[f2535,f373]) ).
fof(f2611,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK0)
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X1,k3_tarski(a_4_0_closure3(sK0,sK1,sK3,X0)))
| ~ r2_hidden(X1,k3_tarski(a_4_0_closure3(sK0,sK1,sK3,X0))) ),
inference(resolution,[],[f2540,f372]) ).
fof(f2624,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k3_tarski(a_4_0_closure3(sK0,sK1,sK3,X0)))
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0) ),
inference(duplicate_literal_removal,[],[f2611]) ).
fof(f2641,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_funct_1(k2_closure3(sK0,sK1,sK3),X0))
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,sK0)
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f2624,f399]) ).
fof(f2642,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_funct_1(k2_closure3(sK0,sK1,sK3),X0))
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(duplicate_literal_removal,[],[f2641]) ).
fof(f2643,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_funct_1(k2_closure3(sK0,sK1,sK3),X0))
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f2642,f209]) ).
fof(f2644,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_funct_1(sF46,X0))
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_demodulation,[],[f2643,f389]) ).
fof(f2645,plain,
! [X0,X1] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF43))
| ~ r2_hidden(X1,k1_funct_1(sF46,X0))
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0) ),
inference(forward_demodulation,[],[f2644,f381]) ).
fof(f2646,plain,
! [X0,X1] :
( ~ m1_subset_1(sK3,sF44)
| ~ r2_hidden(X1,k1_funct_1(sF46,X0))
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0) ),
inference(forward_demodulation,[],[f2645,f383]) ).
fof(f2647,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k1_funct_1(sF46,X0))
| r2_hidden(X1,k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f2646,f385]) ).
fof(f2649,plain,
! [X0,X1] :
( r2_hidden(sK5(k1_funct_1(sF46,X0),X1),k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0)
| r1_tarski(k1_funct_1(sF46,X0),X1) ),
inference(resolution,[],[f2647,f226]) ).
fof(f2664,plain,
! [X0] :
( ~ r2_hidden(X0,sK0)
| r1_tarski(k1_funct_1(sF46,X0),k1_funct_1(sF45,X0))
| r1_tarski(k1_funct_1(sF46,X0),k1_funct_1(sF45,X0)) ),
inference(resolution,[],[f2649,f227]) ).
fof(f2679,plain,
! [X0] :
( r1_tarski(k1_funct_1(sF46,X0),k1_funct_1(sF45,X0))
| ~ r2_hidden(X0,sK0) ),
inference(duplicate_literal_removal,[],[f2664]) ).
fof(f2680,plain,
! [X0] :
( ~ r2_hidden(sK10(X0,sF46,sF45),sK0)
| ~ m1_pboole(sF45,X0)
| ~ m1_pboole(sF46,X0)
| r2_pboole(X0,sF46,sF45) ),
inference(resolution,[],[f2679,f239]) ).
fof(f2682,plain,
( ~ m1_pboole(sF45,sK0)
| ~ m1_pboole(sF46,sK0)
| r2_pboole(sK0,sF46,sF45)
| ~ m1_pboole(sF45,sK0)
| ~ m1_pboole(sF46,sK0)
| r2_pboole(sK0,sF46,sF45) ),
inference(resolution,[],[f2680,f238]) ).
fof(f2683,plain,
( ~ m1_pboole(sF45,sK0)
| ~ m1_pboole(sF46,sK0)
| r2_pboole(sK0,sF46,sF45) ),
inference(duplicate_literal_removal,[],[f2682]) ).
fof(f2684,plain,
( ~ m1_pboole(sF46,sK0)
| r2_pboole(sK0,sF46,sF45) ),
inference(forward_subsumption_resolution,[],[f2683,f504]) ).
fof(f2685,plain,
r2_pboole(sK0,sF46,sF45),
inference(forward_subsumption_resolution,[],[f2684,f503]) ).
fof(f2687,plain,
( ~ m1_pboole(sF46,sK0)
| ~ m1_pboole(sF45,sK0)
| ~ r2_pboole(sK0,sF45,sF46)
| r6_pboole(sK0,sF45,sF46) ),
inference(resolution,[],[f2685,f224]) ).
fof(f2688,plain,
( ~ m1_pboole(sF45,sK0)
| ~ r2_pboole(sK0,sF45,sF46)
| r6_pboole(sK0,sF45,sF46) ),
inference(forward_subsumption_resolution,[],[f2687,f503]) ).
fof(f2690,plain,
( ~ r2_pboole(sK0,sF45,sF46)
| r6_pboole(sK0,sF45,sF46) ),
inference(forward_subsumption_resolution,[],[f2688,f504]) ).
fof(f2691,plain,
~ r2_pboole(sK0,sF45,sF46),
inference(forward_subsumption_resolution,[],[f2690,f390]) ).
fof(f3445,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_4_0_closure3(sK0,sK1,k3_tarski(X1),X2))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_subset_1(k3_tarski(X1),sF44)
| ~ m1_subset_1(X3,sF44)
| ~ r2_hidden(X3,X1)
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2)) ),
inference(resolution,[],[f2121,f268]) ).
fof(f3457,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_4_0_closure3(sK0,sK1,k3_tarski(X1),X2))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_subset_1(k3_tarski(X1),sF44)
| ~ m1_subset_1(X3,sF44)
| ~ r2_hidden(X3,X1)
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(duplicate_literal_removal,[],[f3445]) ).
fof(f3458,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_4_0_closure3(sK0,sK1,k3_tarski(X1),X2))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_subset_1(k3_tarski(X1),sF44)
| ~ m1_subset_1(X3,sF44)
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3457,f209]) ).
fof(f3459,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(sF43))
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,k3_tarski(X1),X2))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_subset_1(k3_tarski(X1),sF44)
| ~ m1_subset_1(X3,sF44)
| ~ r2_hidden(X3,X1) ),
inference(forward_demodulation,[],[f3458,f381]) ).
fof(f3460,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,sF44)
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,k3_tarski(X1),X2))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_subset_1(k3_tarski(X1),sF44)
| ~ m1_subset_1(X3,sF44)
| ~ r2_hidden(X3,X1) ),
inference(forward_demodulation,[],[f3459,f383]) ).
fof(f3461,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_4_0_closure3(sK0,sK1,k3_tarski(X1),X2))
| ~ m1_subset_1(X3,sF44)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X3,X2))
| ~ m1_subset_1(k3_tarski(X1),sF44)
| ~ r2_hidden(X3,X1) ),
inference(duplicate_literal_removal,[],[f3460]) ).
fof(f3489,plain,
! [X2,X0,X1] :
( r2_hidden(X0,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X1))
| ~ m1_subset_1(sK3,sF44)
| ~ r2_hidden(X2,sK2) ),
inference(superposition,[],[f3461,f401]) ).
fof(f3498,plain,
! [X2,X0,X1] :
( r2_hidden(X0,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X1))
| ~ m1_subset_1(sK3,sF44)
| ~ r2_hidden(X2,sK2) ),
inference(forward_subsumption_resolution,[],[f3489,f384]) ).
fof(f3500,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X1))
| r2_hidden(X0,a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X2,sK2) ),
inference(forward_subsumption_resolution,[],[f3498,f385]) ).
fof(f3509,plain,
! [X2,X0,X1] :
( r2_hidden(k1_funct_1(X0,X1),a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X2,sK2)
| ~ m1_pboole(sK1,sK0)
| ~ r2_hidden(X0,X2)
| ~ m1_closure2(X0,sK0,sK1,k6_closure2(sK0,sK1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(resolution,[],[f3500,f375]) ).
fof(f3522,plain,
! [X2,X0,X1] :
( r2_hidden(k1_funct_1(X0,X1),a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X2,sK2)
| ~ r2_hidden(X0,X2)
| ~ m1_closure2(X0,sK0,sK1,k6_closure2(sK0,sK1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3509,f209]) ).
fof(f3526,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(sF43))
| r2_hidden(k1_funct_1(X0,X1),a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X2,sK2)
| ~ r2_hidden(X0,X2)
| ~ m1_closure2(X0,sK0,sK1,k6_closure2(sK0,sK1)) ),
inference(forward_demodulation,[],[f3522,f381]) ).
fof(f3527,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,sF44)
| r2_hidden(k1_funct_1(X0,X1),a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X2,sK2)
| ~ r2_hidden(X0,X2)
| ~ m1_closure2(X0,sK0,sK1,k6_closure2(sK0,sK1)) ),
inference(forward_demodulation,[],[f3526,f383]) ).
fof(f3528,plain,
! [X2,X0,X1] :
( r2_hidden(k1_funct_1(X0,X1),a_4_0_closure3(sK0,sK1,sK3,X1))
| ~ r2_hidden(X2,sK2)
| ~ r2_hidden(X0,X2)
| ~ m1_closure2(X0,sK0,sK1,k6_closure2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f3527,f384]) ).
fof(f3530,plain,
! [X2,X3,X0,X1] :
( ~ m1_closure2(X1,sK0,sK1,k6_closure2(sK0,sK1))
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK2)
| ~ r2_hidden(X2,k1_funct_1(X1,X3))
| r2_hidden(X2,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0) ),
inference(resolution,[],[f3528,f1127]) ).
fof(f3558,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| ~ r2_hidden(X3,sK2)
| ~ r2_hidden(X4,k1_funct_1(sK17(X0,sK0,sK1,X1,X2),X5))
| r2_hidden(X4,k1_funct_1(sF46,X5))
| ~ r2_hidden(X5,sK0)
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2)) ),
inference(resolution,[],[f3530,f270]) ).
fof(f3561,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| ~ r2_hidden(X3,sK2)
| ~ r2_hidden(X4,k1_funct_1(sK17(X0,sK0,sK1,X1,X2),X5))
| r2_hidden(X4,k1_funct_1(sF46,X5))
| ~ r2_hidden(X5,sK0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2)) ),
inference(forward_subsumption_resolution,[],[f3558,f209]) ).
fof(f3565,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF43))
| ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| ~ r2_hidden(X3,sK2)
| ~ r2_hidden(X4,k1_funct_1(sK17(X0,sK0,sK1,X1,X2),X5))
| r2_hidden(X4,k1_funct_1(sF46,X5))
| ~ r2_hidden(X5,sK0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2)) ),
inference(forward_demodulation,[],[f3561,f381]) ).
fof(f3568,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X4,k1_funct_1(sK17(X0,sK0,sK1,X1,X2),X5))
| ~ r2_hidden(sK17(X0,sK0,sK1,X1,X2),X3)
| ~ r2_hidden(X3,sK2)
| ~ m1_subset_1(X1,sF44)
| r2_hidden(X4,k1_funct_1(sF46,X5))
| ~ r2_hidden(X5,sK0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X1,X2)) ),
inference(forward_demodulation,[],[f3565,f383]) ).
fof(f3621,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ m1_subset_1(X2,sF44)
| r2_hidden(X1,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(superposition,[],[f3568,f269]) ).
fof(f3622,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ m1_subset_1(X2,sF44)
| r2_hidden(X1,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(duplicate_literal_removal,[],[f3621]) ).
fof(f3623,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ m1_subset_1(X2,sF44)
| r2_hidden(X1,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3622,f209]) ).
fof(f3624,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(sF43))
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ m1_subset_1(X2,sF44)
| r2_hidden(X1,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(forward_demodulation,[],[f3623,f381]) ).
fof(f3625,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X4,sK2)
| ~ m1_subset_1(X2,sF44)
| r2_hidden(X1,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(forward_demodulation,[],[f3624,f383]) ).
fof(f3626,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(sK17(X0,sK0,sK1,X2,X3),X4)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X4,sK2)
| r2_hidden(X1,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(duplicate_literal_removal,[],[f3625]) ).
fof(f3627,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X2,sK2)
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(resolution,[],[f3626,f268]) ).
fof(f3640,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X2,sK2)
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(duplicate_literal_removal,[],[f3627]) ).
fof(f3641,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,sK2)
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3640,f384]) ).
fof(f3642,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,sK2)
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3641,f209]) ).
fof(f3643,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(sF43))
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,sK2)
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(forward_demodulation,[],[f3642,f381]) ).
fof(f3644,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,sF44)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,sK2)
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X2,X3)) ),
inference(forward_demodulation,[],[f3643,f383]) ).
fof(f3645,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X1,a_4_0_closure3(sK0,sK1,X2,X3))
| ~ r2_hidden(X2,sK2)
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[],[f3644,f384]) ).
fof(f3655,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X1,sK8(a_4_0_closure3(sK0,sK1,X0,X2),X3))
| r2_hidden(X1,k1_funct_1(sF46,X2))
| ~ r2_hidden(X2,sK0)
| ~ r2_hidden(X0,sK2)
| ~ r2_hidden(X3,k3_tarski(a_4_0_closure3(sK0,sK1,X0,X2))) ),
inference(resolution,[],[f3645,f373]) ).
fof(f3701,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF46,X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X2,sK2)
| ~ r2_hidden(X0,k3_tarski(a_4_0_closure3(sK0,sK1,X2,X1)))
| ~ r2_hidden(X0,k3_tarski(a_4_0_closure3(sK0,sK1,X2,X1))) ),
inference(resolution,[],[f3655,f372]) ).
fof(f3714,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_tarski(a_4_0_closure3(sK0,sK1,X2,X1)))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X2,sK2)
| r2_hidden(X0,k1_funct_1(sF46,X1)) ),
inference(duplicate_literal_removal,[],[f3701]) ).
fof(f3731,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k2_closure3(sK0,sK1,X0),X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,sK2)
| r2_hidden(X2,k1_funct_1(sF46,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,sK0)
| ~ m1_pboole(sK1,sK0) ),
inference(superposition,[],[f3714,f399]) ).
fof(f3732,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k2_closure3(sK0,sK1,X0),X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,sK2)
| r2_hidden(X2,k1_funct_1(sF46,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(duplicate_literal_removal,[],[f3731]) ).
fof(f3733,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k2_closure3(sK0,sK1,X0),X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,sK2)
| r2_hidden(X2,k1_funct_1(sF46,X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f3732,f209]) ).
fof(f3734,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF43))
| ~ r2_hidden(X2,k1_funct_1(k2_closure3(sK0,sK1,X0),X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,sK2)
| r2_hidden(X2,k1_funct_1(sF46,X1)) ),
inference(forward_demodulation,[],[f3733,f381]) ).
fof(f3735,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF44)
| ~ r2_hidden(X2,k1_funct_1(k2_closure3(sK0,sK1,X0),X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,sK2)
| r2_hidden(X2,k1_funct_1(sF46,X1)) ),
inference(forward_demodulation,[],[f3734,f383]) ).
fof(f3736,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k2_closure3(sK0,sK1,X0),X1))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,sK2)
| r2_hidden(X2,k1_funct_1(sF46,X1)) ),
inference(forward_subsumption_resolution,[],[f3735,f384]) ).
fof(f3752,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(X1,X3))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(sK16(X1,sK0,sK1,X2),sK2)
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ m1_pboole(sK1,sK0)
| ~ r2_hidden(X1,a_3_0_closure3(sK0,sK1,X2)) ),
inference(superposition,[],[f3736,f265]) ).
fof(f3754,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(sK16(X1,sK0,sK1,X2),sK2)
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X0,k1_funct_1(X1,X3))
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ r2_hidden(X1,a_3_0_closure3(sK0,sK1,X2)) ),
inference(forward_subsumption_resolution,[],[f3752,f209]) ).
fof(f3755,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK0)
| ~ r2_hidden(X1,k1_funct_1(X2,X0))
| r2_hidden(X1,k1_funct_1(sF46,X0))
| ~ r2_hidden(X2,a_3_0_closure3(sK0,sK1,sK2))
| ~ m1_pboole(sK1,sK0)
| ~ r2_hidden(X2,a_3_0_closure3(sK0,sK1,sK2)) ),
inference(resolution,[],[f3754,f264]) ).
fof(f3756,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK0)
| ~ r2_hidden(X1,k1_funct_1(X2,X0))
| r2_hidden(X1,k1_funct_1(sF46,X0))
| ~ r2_hidden(X2,a_3_0_closure3(sK0,sK1,sK2))
| ~ m1_pboole(sK1,sK0) ),
inference(duplicate_literal_removal,[],[f3755]) ).
fof(f3757,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sK0)
| ~ r2_hidden(X1,k1_funct_1(X2,X0))
| r2_hidden(X1,k1_funct_1(sF46,X0))
| ~ r2_hidden(X2,a_3_0_closure3(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f3756,f209]) ).
fof(f3758,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,k1_funct_1(X2,X0))
| ~ r2_hidden(X0,sK0)
| ~ r2_hidden(X2,sK4)
| r2_hidden(X1,k1_funct_1(sF46,X0)) ),
inference(forward_demodulation,[],[f3757,f400]) ).
fof(f3780,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(sK17(X0,X2,X3,X4,X5),sK4)
| ~ r2_hidden(X5,sK0)
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k1_funct_1(sF46,X5))
| ~ m1_pboole(X3,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ r2_hidden(X0,a_4_0_closure3(X2,X3,X4,X5)) ),
inference(superposition,[],[f3758,f269]) ).
fof(f3810,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,sK0)
| ~ r2_hidden(X1,X2)
| r2_hidden(X1,k1_funct_1(sF46,X0))
| ~ m1_pboole(X3,X4)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X4,X3)))
| ~ r2_hidden(X2,a_4_0_closure3(X4,X3,sK4,X0))
| ~ m1_pboole(X3,X4)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X4,X3)))
| ~ r2_hidden(X2,a_4_0_closure3(X4,X3,sK4,X0)) ),
inference(resolution,[],[f3780,f268]) ).
fof(f3811,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X2,a_4_0_closure3(X4,X3,sK4,X0))
| ~ r2_hidden(X1,X2)
| r2_hidden(X1,k1_funct_1(sF46,X0))
| ~ m1_pboole(X3,X4)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X4,X3)))
| ~ r2_hidden(X0,sK0) ),
inference(duplicate_literal_removal,[],[f3810]) ).
fof(f3816,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,sK8(a_4_0_closure3(X1,X2,sK4,X3),X4))
| r2_hidden(X0,k1_funct_1(sF46,X3))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r2_hidden(X3,sK0)
| ~ r2_hidden(X4,k3_tarski(a_4_0_closure3(X1,X2,sK4,X3))) ),
inference(resolution,[],[f3811,f373]) ).
fof(f8110,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,k1_funct_1(sF46,X1))
| ~ m1_pboole(X2,X3)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X3,X2)))
| ~ r2_hidden(X1,sK0)
| ~ r2_hidden(X0,k3_tarski(a_4_0_closure3(X3,X2,sK4,X1)))
| ~ r2_hidden(X0,k3_tarski(a_4_0_closure3(X3,X2,sK4,X1))) ),
inference(resolution,[],[f3816,f372]) ).
fof(f8125,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k3_tarski(a_4_0_closure3(X3,X2,sK4,X1)))
| ~ m1_pboole(X2,X3)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X3,X2)))
| ~ r2_hidden(X1,sK0)
| r2_hidden(X0,k1_funct_1(sF46,X1)) ),
inference(duplicate_literal_removal,[],[f8110]) ).
fof(f8145,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k1_funct_1(k2_closure3(X0,X1,sK4),X2))
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X2,sK0)
| r2_hidden(X3,k1_funct_1(sF46,X2))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X2,X0)
| ~ m1_pboole(X1,X0) ),
inference(superposition,[],[f8125,f399]) ).
fof(f8146,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k1_funct_1(k2_closure3(X0,X1,sK4),X2))
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X2,sK0)
| r2_hidden(X3,k1_funct_1(sF46,X2))
| ~ r2_hidden(X2,X0) ),
inference(duplicate_literal_removal,[],[f8145]) ).
fof(f8162,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,sK0)
| r2_hidden(X0,k1_funct_1(sF46,X1))
| ~ r2_hidden(X1,sK0) ),
inference(superposition,[],[f8146,f387]) ).
fof(f8163,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ m1_pboole(sK1,sK0)
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,sK0)
| r2_hidden(X0,k1_funct_1(sF46,X1)) ),
inference(duplicate_literal_removal,[],[f8162]) ).
fof(f8165,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_hidden(X1,sK0)
| r2_hidden(X0,k1_funct_1(sF46,X1)) ),
inference(forward_subsumption_resolution,[],[f8163,f209]) ).
fof(f8166,plain,
! [X0,X1] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF43))
| ~ r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| r2_hidden(X0,k1_funct_1(sF46,X1)) ),
inference(forward_demodulation,[],[f8165,f381]) ).
fof(f8167,plain,
! [X0,X1] :
( ~ m1_subset_1(sK4,sF44)
| ~ r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| r2_hidden(X0,k1_funct_1(sF46,X1)) ),
inference(forward_demodulation,[],[f8166,f383]) ).
fof(f8168,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_funct_1(sF45,X1))
| ~ r2_hidden(X1,sK0)
| r2_hidden(X0,k1_funct_1(sF46,X1)) ),
inference(forward_subsumption_resolution,[],[f8167,f397]) ).
fof(f8174,plain,
! [X0,X1] :
( r2_hidden(sK5(k1_funct_1(sF45,X0),X1),k1_funct_1(sF46,X0))
| ~ r2_hidden(X0,sK0)
| r1_tarski(k1_funct_1(sF45,X0),X1) ),
inference(resolution,[],[f8168,f226]) ).
fof(f8201,plain,
! [X0] :
( ~ r2_hidden(X0,sK0)
| r1_tarski(k1_funct_1(sF45,X0),k1_funct_1(sF46,X0))
| r1_tarski(k1_funct_1(sF45,X0),k1_funct_1(sF46,X0)) ),
inference(resolution,[],[f8174,f227]) ).
fof(f8232,plain,
! [X0] :
( r1_tarski(k1_funct_1(sF45,X0),k1_funct_1(sF46,X0))
| ~ r2_hidden(X0,sK0) ),
inference(duplicate_literal_removal,[],[f8201]) ).
fof(f8233,plain,
! [X0] :
( ~ r2_hidden(sK10(X0,sF45,sF46),sK0)
| ~ m1_pboole(sF46,X0)
| ~ m1_pboole(sF45,X0)
| r2_pboole(X0,sF45,sF46) ),
inference(resolution,[],[f8232,f239]) ).
fof(f8235,plain,
( ~ m1_pboole(sF46,sK0)
| ~ m1_pboole(sF45,sK0)
| r2_pboole(sK0,sF45,sF46)
| ~ m1_pboole(sF46,sK0)
| ~ m1_pboole(sF45,sK0)
| r2_pboole(sK0,sF45,sF46) ),
inference(resolution,[],[f8233,f238]) ).
fof(f8236,plain,
( ~ m1_pboole(sF46,sK0)
| ~ m1_pboole(sF45,sK0)
| r2_pboole(sK0,sF45,sF46) ),
inference(duplicate_literal_removal,[],[f8235]) ).
fof(f8237,plain,
( ~ m1_pboole(sF45,sK0)
| r2_pboole(sK0,sF45,sF46) ),
inference(forward_subsumption_resolution,[],[f8236,f503]) ).
fof(f8238,plain,
r2_pboole(sK0,sF45,sF46),
inference(forward_subsumption_resolution,[],[f8237,f504]) ).
fof(f8239,plain,
$false,
inference(forward_subsumption_resolution,[],[f8238,f2691]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG233+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n001.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 20:01:34 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 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
% 13.53/2.66 % (667809)Detected formulas, will run a generic FOF schedule.
% 13.53/2.66 % (667814)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=823805708:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.53/2.66 % (667817)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=120940465:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.53/2.66 % (667819)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2435015134:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.53/2.66 % (667815)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=4096955904:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.53/2.66 % (667816)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=3816021905:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.53/2.66 % (667818)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=908377449:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.53/2.66 % (667820)dis-21_1_sil=8000:lcm=predicate:random_seed=1423744147:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.53/2.66 % (667817)Instruction limit reached!
% 13.53/2.66 % (667817)------------------------------
% 13.53/2.66 % (667817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.66 % (667817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.66 % (667817)CaDiCaL version: 2.1.3
% 13.53/2.66 % (667817)Termination reason: Instruction limit
% 13.53/2.66 % (667817)Termination phase: Saturation
% 13.53/2.66 % (667817)Time elapsed: 0.068 s
% 13.53/2.66 % (667817)Peak memory usage: 89 MB
% 13.53/2.66 % (667817)Instructions burned: 110 (million)
% 13.53/2.66 % (667818)Instruction limit reached!
% 13.53/2.66 % (667818)------------------------------
% 13.53/2.66 % (667818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.66 % (667818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.66 % (667818)CaDiCaL version: 2.1.3
% 13.53/2.66 % (667818)Termination reason: Instruction limit
% 13.53/2.66 % (667818)Termination phase: Saturation
% 13.53/2.66 % (667818)Time elapsed: 0.070 s
% 13.53/2.66 % (667818)Peak memory usage: 88 MB
% 13.53/2.66 % (667818)Instructions burned: 120 (million)
% 13.53/2.66 % (667820)Instruction limit reached!
% 13.53/2.66 % (667820)------------------------------
% 13.53/2.66 % (667820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.66 % (667820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.66 % (667820)CaDiCaL version: 2.1.3
% 13.53/2.66 % (667820)Termination reason: Instruction limit
% 13.53/2.66 % (667820)Termination phase: Saturation
% 13.53/2.66 % (667820)Time elapsed: 0.076 s
% 13.53/2.66 % (667820)Peak memory usage: 89 MB
% 13.53/2.66 % (667820)Instructions burned: 130 (million)
% 13.53/2.66 % (667819)Instruction limit reached!
% 13.53/2.66 % (667819)------------------------------
% 13.53/2.66 % (667819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.66 % (667819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.66 % (667819)CaDiCaL version: 2.1.3
% 13.53/2.66 % (667819)Termination reason: Instruction limit
% 13.53/2.66 % (667819)Termination phase: Saturation
% 13.53/2.66 % (667819)Time elapsed: 0.099 s
% 13.53/2.66 % (667819)Peak memory usage: 90 MB
% 13.53/2.66 % (667819)Instructions burned: 139 (million)
% 13.53/2.66 % (667828)lrs+10_1_sil=8000:sp=occurrence:random_seed=3032003296:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.53/2.66 % (667830)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1605646812:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.53/2.66 % (667829)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2655006867:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.53/2.66 % (667831)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=2891143822:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.53/2.66 % (667829)Instruction limit reached!
% 13.53/2.66 % (667829)------------------------------
% 13.53/2.66 % (667829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.20/3.61 % (667829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.20/3.61 % (667829)CaDiCaL version: 2.1.3
% 21.20/3.61 % (667829)Termination reason: Instruction limit
% 21.20/3.61 % (667829)Termination phase: Saturation
% 21.20/3.61 % (667829)Time elapsed: 0.089 s
% 21.20/3.61 % (667829)Peak memory usage: 90 MB
% 21.20/3.61 % (667829)Instructions burned: 157 (million)
% 21.20/3.61 % (667828)Instruction limit reached!
% 21.20/3.61 % (667828)------------------------------
% 21.20/3.61 % (667828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.20/3.61 % (667828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.20/3.61 % (667828)CaDiCaL version: 2.1.3
% 21.20/3.61 % (667828)Termination reason: Instruction limit
% 21.20/3.61 % (667828)Termination phase: Saturation
% 21.20/3.61 % (667828)Time elapsed: 0.183 s
% 21.20/3.61 % (667828)Peak memory usage: 91 MB
% 21.20/3.61 % (667828)Instructions burned: 286 (million)
% 21.20/3.61 % (667831)Instruction limit reached!
% 21.20/3.61 % (667831)------------------------------
% 21.20/3.61 % (667831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.20/3.61 % (667831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.20/3.61 % (667831)CaDiCaL version: 2.1.3
% 21.20/3.61 % (667831)Termination reason: Instruction limit
% 21.20/3.61 % (667831)Termination phase: Saturation
% 21.20/3.61 % (667831)Time elapsed: 0.144 s
% 21.20/3.61 % (667831)Peak memory usage: 91 MB
% 21.20/3.61 % (667831)Instructions burned: 249 (million)
% 21.20/3.61 % (667830)Instruction limit reached!
% 21.20/3.61 % (667830)------------------------------
% 21.20/3.61 % (667830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.20/3.61 % (667830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.20/3.61 % (667830)CaDiCaL version: 2.1.3
% 21.20/3.61 % (667830)Termination reason: Instruction limit
% 21.20/3.61 % (667830)Termination phase: Saturation
% 21.20/3.61 % (667830)Time elapsed: 0.215 s
% 21.20/3.61 % (667830)Peak memory usage: 92 MB
% 21.20/3.61 % (667830)Instructions burned: 326 (million)
% 21.20/3.61 % (667836)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3748238424:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 21.20/3.61 % (667837)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3698598312:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 21.20/3.61 % (667838)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4270312257:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 21.20/3.61 % (667840)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1398435557:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 21.20/3.61 % (667838)Instruction limit reached!
% 21.20/3.61 % (667838)------------------------------
% 21.20/3.61 % (667838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.20/3.61 % (667838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.20/3.61 % (667838)CaDiCaL version: 2.1.3
% 21.20/3.61 % (667838)Termination reason: Instruction limit
% 21.20/3.61 % (667838)Termination phase: Saturation
% 21.20/3.61 % (667838)Time elapsed: 0.076 s
% 21.20/3.61 % (667838)Peak memory usage: 90 MB
% 21.20/3.61 % (667838)Instructions burned: 114 (million)
% 21.20/3.61 % (667836)Instruction limit reached!
% 21.20/3.61 % (667836)------------------------------
% 21.20/3.61 % (667836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.20/3.61 % (667836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.20/3.61 % (667836)CaDiCaL version: 2.1.3
% 21.20/3.61 % (667836)Termination reason: Instruction limit
% 21.20/3.61 % (667836)Termination phase: Saturation
% 21.20/3.61 % (667836)Time elapsed: 0.169 s
% 21.20/3.61 % (667836)Peak memory usage: 90 MB
% 21.20/3.61 % (667836)Instructions burned: 296 (million)
% 21.20/3.61 % (667840)Instruction limit reached!
% 21.20/3.61 % (667840)------------------------------
% 21.20/3.61 % (667840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.20/3.61 % (667840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.20/3.61 % (667840)CaDiCaL version: 2.1.3
% 21.20/3.61 % (667840)Termination reason: Instruction limit
% 21.20/3.61 % (667840)Termination phase: Saturation
% 21.20/3.61 % (667840)Time elapsed: 0.066 s
% 21.20/3.61 % (667840)Peak memory usage: 89 MB
% 21.20/3.61 % (667840)Instructions burned: 127 (million)
% 16.11/6.51 % (667844)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1911361932:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 16.11/6.51 % (667845)lrs+10_1_sil=8000:sp=occurrence:random_seed=1996050747:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 16.11/6.51 % (667846)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=655713257:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 16.11/6.51 % (667844)Instruction limit reached!
% 16.11/6.51 % (667844)------------------------------
% 16.11/6.51 % (667844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667844)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667844)Termination reason: Instruction limit
% 16.11/6.51 % (667844)Termination phase: Saturation
% 16.11/6.51 % (667844)Time elapsed: 0.071 s
% 16.11/6.51 % (667844)Peak memory usage: 89 MB
% 16.11/6.51 % (667844)Instructions burned: 115 (million)
% 16.11/6.51 % (667850)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1206354651:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 16.11/6.51 % (667846)Instruction limit reached!
% 16.11/6.51 % (667846)------------------------------
% 16.11/6.51 % (667846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667846)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667846)Termination reason: Instruction limit
% 16.11/6.51 % (667846)Termination phase: Saturation
% 16.11/6.51 % (667846)Time elapsed: 0.267 s
% 16.11/6.51 % (667846)Peak memory usage: 92 MB
% 16.11/6.51 % (667846)Instructions burned: 438 (million)
% 16.11/6.51 % (667852)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2764611605:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 16.11/6.51 % (667852)Instruction limit reached!
% 16.11/6.51 % (667852)------------------------------
% 16.11/6.51 % (667852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667852)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667852)Termination reason: Instruction limit
% 16.11/6.51 % (667852)Termination phase: Saturation
% 16.11/6.51 % (667852)Time elapsed: 0.078 s
% 16.11/6.51 % (667852)Peak memory usage: 90 MB
% 16.11/6.51 % (667852)Instructions burned: 137 (million)
% 16.11/6.51 % (667845)Instruction limit reached!
% 16.11/6.51 % (667845)------------------------------
% 16.11/6.51 % (667845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667845)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667845)Termination reason: Instruction limit
% 16.11/6.51 % (667845)Termination phase: Saturation
% 16.11/6.51 % (667845)Time elapsed: 0.518 s
% 16.11/6.51 % (667845)Peak memory usage: 99 MB
% 16.11/6.51 % (667845)Instructions burned: 909 (million)
% 16.11/6.51 % (667854)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1836116301:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 16.11/6.51 % (667855)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1722779031:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 16.11/6.51 % (667854)Instruction limit reached!
% 16.11/6.51 % (667854)------------------------------
% 16.11/6.51 % (667854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667854)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667854)Termination reason: Instruction limit
% 16.11/6.51 % (667854)Termination phase: Saturation
% 16.11/6.51 % (667854)Time elapsed: 0.326 s
% 16.11/6.51 % (667854)Peak memory usage: 96 MB
% 16.11/6.51 % (667854)Instructions burned: 593 (million)
% 16.11/6.51 % (667858)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=3966472384:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 16.11/6.51 % (667858)Instruction limit reached!
% 16.11/6.51 % (667858)------------------------------
% 16.11/6.51 % (667858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667858)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667858)Termination reason: Instruction limit
% 16.11/6.51 % (667858)Termination phase: Saturation
% 16.11/6.51 % (667858)Time elapsed: 0.086 s
% 16.11/6.51 % (667858)Peak memory usage: 90 MB
% 16.11/6.51 % (667858)Instructions burned: 126 (million)
% 16.11/6.51 % (667837)Instruction limit reached!
% 16.11/6.51 % (667837)------------------------------
% 16.11/6.51 % (667837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667837)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667837)Termination reason: Instruction limit
% 16.11/6.51 % (667837)Termination phase: Saturation
% 16.11/6.51 % (667837)Time elapsed: 1.471 s
% 16.11/6.51 % (667837)Peak memory usage: 142 MB
% 16.11/6.51 % (667837)Instructions burned: 2350 (million)
% 16.11/6.51 % (667860)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1114916663:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 16.11/6.51 % (667860)Instruction limit reached!
% 16.11/6.51 % (667860)------------------------------
% 16.11/6.51 % (667860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667860)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667860)Termination reason: Instruction limit
% 16.11/6.51 % (667860)Termination phase: Saturation
% 16.11/6.51 % (667860)Time elapsed: 0.094 s
% 16.11/6.51 % (667860)Peak memory usage: 90 MB
% 16.11/6.51 % (667860)Instructions burned: 134 (million)
% 16.11/6.51 % (667861)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1128364804:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 16.11/6.51 % (667861)Instruction limit reached!
% 16.11/6.51 % (667861)------------------------------
% 16.11/6.51 % (667861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667861)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667861)Termination reason: Instruction limit
% 16.11/6.51 % (667861)Termination phase: Saturation
% 16.11/6.51 % (667861)Time elapsed: 0.089 s
% 16.11/6.51 % (667861)Peak memory usage: 90 MB
% 16.11/6.51 % (667861)Instructions burned: 142 (million)
% 16.11/6.51 % (667864)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2539526480:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 16.11/6.51 % (667865)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=5500162:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 16.11/6.51 % (667864)Instruction limit reached!
% 16.11/6.51 % (667864)------------------------------
% 16.11/6.51 % (667864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667864)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667864)Termination reason: Instruction limit
% 16.11/6.51 % (667864)Termination phase: Saturation
% 16.11/6.51 % (667864)Time elapsed: 0.251 s
% 16.11/6.51 % (667864)Peak memory usage: 92 MB
% 16.11/6.51 % (667864)Instructions burned: 432 (million)
% 16.11/6.51 % (667868)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=1056468693:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 16.11/6.51 % (667868)Instruction limit reached!
% 16.11/6.51 % (667868)------------------------------
% 16.11/6.51 % (667868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667868)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667868)Termination reason: Instruction limit
% 16.11/6.51 % (667868)Termination phase: Saturation
% 16.11/6.51 % (667868)Time elapsed: 0.092 s
% 16.11/6.51 % (667868)Peak memory usage: 91 MB
% 16.11/6.51 % (667868)Instructions burned: 151 (million)
% 16.11/6.51 % (667870)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2080128734:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 16.11/6.51 % (667850)Instruction limit reached!
% 16.11/6.51 % (667850)------------------------------
% 16.11/6.51 % (667850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667850)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667850)Termination reason: Instruction limit
% 16.11/6.51 % (667850)Termination phase: Saturation
% 16.11/6.51 % (667850)Time elapsed: 3.244 s
% 16.11/6.51 % (667850)Peak memory usage: 163 MB
% 16.11/6.51 % (667850)Instructions burned: 5202 (million)
% 16.11/6.51 % (667872)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1660422633:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 16.11/6.51 % (667872)Instruction limit reached!
% 16.11/6.51 % (667872)------------------------------
% 16.11/6.51 % (667872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667872)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667872)Termination reason: Instruction limit
% 16.11/6.51 % (667872)Termination phase: Saturation
% 16.11/6.51 % (667872)Time elapsed: 0.341 s
% 16.11/6.51 % (667872)Peak memory usage: 106 MB
% 16.11/6.51 % (667872)Instructions burned: 667 (million)
% 16.11/6.51 % (667874)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=2748834933:s2a=on:i=185:s2at=1.8:fdi=4_2952 on theBenchmark for (2952ds/185Mi)
% 16.11/6.51 % (667874)Instruction limit reached!
% 16.11/6.51 % (667874)------------------------------
% 16.11/6.51 % (667874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667874)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667874)Termination reason: Instruction limit
% 16.11/6.51 % (667874)Termination phase: Saturation
% 16.11/6.51 % (667874)Time elapsed: 0.130 s
% 16.11/6.51 % (667874)Peak memory usage: 92 MB
% 16.11/6.51 % (667874)Instructions burned: 186 (million)
% 16.11/6.51 % (667876)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=72448559:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2949 on theBenchmark for (2949ds/193Mi)
% 16.11/6.51 % (667876)Instruction limit reached!
% 16.11/6.51 % (667876)------------------------------
% 16.11/6.51 % (667876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/6.51 % (667876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/6.51 % (667876)CaDiCaL version: 2.1.3
% 16.11/6.51 % (667876)Termination reason: Instruction limit
% 16.11/6.51 % (667876)Termination phase: Saturation
% 16.11/6.51 % (667876)Time elapsed: 0.130 s
% 16.11/6.51 % (667876)Peak memory usage: 91 MB
% 16.11/6.51 % (667876)Instructions burned: 194 (million)
% 16.11/6.51 % (667878)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1964077729:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2947 on theBenchmark for (2947ds/4850Mi)
% 16.11/6.51 % (667865)First to succeed.
% 16.11/6.51 % (667865)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-667809"
% 16.11/6.51 % (667865)Refutation found. Thanks to Tanya!
% 16.11/6.51 % SZS status Theorem for theBenchmark
% 16.11/6.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/6.70 % (667865)------------------------------
% 0.16/6.70 % (667865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/6.70 % (667865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/6.70 % (667865)CaDiCaL version: 2.1.3
% 0.16/6.70 % (667865)Termination reason: Refutation
% 0.16/6.70 % (667865)Time elapsed: 3.109 s
% 0.16/6.70 % (667865)Peak memory usage: 160 MB
% 0.16/6.70 % (667865)Instructions burned: 4768 (million)
% 0.16/6.70 % (667865)------------------------------
% 0.16/6.70 % (667865)------------------------------
% 0.16/6.70 % (667809)Success in time 5.862 s
% 0.16/6.70 % Vampire exiting
%------------------------------------------------------------------------------