%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT029+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 : n017.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 09:36:44 AM UTC 2026
% Result : Theorem 15.04s 3.00s
% Output : Refutation 16.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 47
% Syntax : Number of formulae : 494 ( 66 unt; 30 def)
% Number of atoms : 2816 ( 136 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 4223 (1901 ~;2134 |; 113 &)
% ( 31 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 31 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-6 aty)
% Number of variables : 376 ( 0 sgn 360 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X2)
=> ! [X5] :
( m1_subset_1(X5,u1_cat_1(X0))
=> ! [X6] :
( m1_subset_1(X6,u1_cat_1(X0))
=> ( k6_cat_1(X0,X5,X6) != k1_xboole_0
=> ! [X7] :
( m1_cat_1(X7,X0,X5,X6)
=> k3_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5,X6,X7) = k13_cat_2(X1,X2,k3_nattra_1(X0,X1,X3,X5,X6,X7),k3_nattra_1(X0,X2,X4,X5,X6,X7)) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_isocat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X2)
=> ! [X5] :
( m1_subset_1(X5,u1_cat_1(X0))
=> ! [X6] :
( m1_subset_1(X6,u1_cat_1(X0))
=> ( k6_cat_1(X0,X5,X6) != k1_xboole_0
=> ! [X7] :
( m1_cat_1(X7,X0,X5,X6)
=> k3_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5,X6,X7) = k13_cat_2(X1,X2,k3_nattra_1(X0,X1,X3,X5,X6,X7),k3_nattra_1(X0,X2,X4,X5,X6,X7)) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f6,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_cat_1(X0))
=> ( k6_cat_1(X0,X3,X4) != k1_xboole_0
=> ! [X5] :
( m1_cat_1(X5,X0,X3,X4)
=> k3_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_nattra_1) ).
fof(f7,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f8,axiom,
! [X0,X1,X2,X3,X4] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X0,X1)
& m2_cat_1(X4,X0,X2) )
=> m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_isocat_2) ).
fof(f9,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X3,X0,X1)
& v1_funct_1(X4)
& v1_funct_2(X4,X0,X2)
& m1_relset_1(X4,X0,X2) )
=> ( v1_funct_1(k14_funct_3(X0,X1,X2,X3,X4))
& v1_funct_2(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
& m2_relset_1(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_funct_3) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( l1_cat_1(X0)
& m1_subset_1(X1,u1_cat_1(X0))
& m1_subset_1(X2,u1_cat_1(X0)) )
=> ! [X3] :
( m1_cat_1(X3,X0,X1,X2)
=> m1_subset_1(X3,u2_cat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_cat_1) ).
fof(f28,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_cat_1) ).
fof(f31,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u2_cat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_cat_1) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X0,X1)
& m2_cat_1(X4,X0,X2) )
=> k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_isocat_2) ).
fof(f48,axiom,
! [X0,X1,X2,X3] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& m1_subset_1(X2,u2_cat_1(X0))
& m1_subset_1(X3,u2_cat_1(X1)) )
=> k13_cat_2(X0,X1,X2,X3) = k4_tarski(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k13_cat_2) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X3,X0,X1)
& v1_funct_1(X4)
& v1_funct_2(X4,X0,X2)
& m1_relset_1(X4,X0,X2) )
=> k14_funct_3(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k14_funct_3) ).
fof(f50,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f51,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f59,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,X0,X2)
& m2_relset_1(X4,X0,X2) )
=> ! [X5] :
( m1_subset_1(X5,X0)
=> k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k4_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_funct_3) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( k3_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5,X6,X7) != k13_cat_2(X1,X2,k3_nattra_1(X0,X1,X3,X5,X6,X7),k3_nattra_1(X0,X2,X4,X5,X6,X7))
& m1_cat_1(X7,X0,X5,X6) )
& k6_cat_1(X0,X5,X6) != k1_xboole_0
& m1_subset_1(X6,u1_cat_1(X0)) )
& m1_subset_1(X5,u1_cat_1(X0)) )
& m2_cat_1(X4,X0,X2) )
& m2_cat_1(X3,X0,X1) )
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f65,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( k3_nattra_1(X0,k11_cat_2(X1,X2),k10_isocat_2(X0,X1,X2,X3,X4),X5,X6,X7) != k13_cat_2(X1,X2,k3_nattra_1(X0,X1,X3,X5,X6,X7),k3_nattra_1(X0,X2,X4,X5,X6,X7))
& m1_cat_1(X7,X0,X5,X6) )
& k6_cat_1(X0,X5,X6) != k1_xboole_0
& m1_subset_1(X6,u1_cat_1(X0)) )
& m1_subset_1(X5,u1_cat_1(X0)) )
& m2_cat_1(X4,X0,X2) )
& m2_cat_1(X3,X0,X1) )
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f64]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k4_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5))
| ~ m1_subset_1(X5,X0) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m2_relset_1(X4,X0,X2) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
| v1_xboole_0(X2) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k4_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5))
| ~ m1_subset_1(X5,X0) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m2_relset_1(X4,X0,X2) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
| v1_xboole_0(X2) )
| v1_xboole_0(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f67]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( k14_funct_3(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f49]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4] :
( k14_funct_3(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( k13_cat_2(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( k13_cat_2(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] :
( k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4] :
( k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k3_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5)
| ~ m1_cat_1(X5,X0,X3,X4) )
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( k3_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5)
| ~ m1_cat_1(X5,X0,X3,X4) )
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0)) )
| ~ m1_subset_1(X3,u1_cat_1(X0)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f78]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_subset_1(X3,u2_cat_1(X0))
| ~ m1_cat_1(X3,X0,X1,X2) )
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ m1_subset_1(X2,u1_cat_1(X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_subset_1(X3,u2_cat_1(X0))
| ~ m1_cat_1(X3,X0,X1,X2) )
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ m1_subset_1(X2,u1_cat_1(X0)) ),
inference(flattening,[],[f83]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f94,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) )
| ~ m2_cat_1(X2,X0,X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f93]) ).
fof(f97,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f98,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4] :
( m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4] :
( m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(flattening,[],[f99]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k14_funct_3(X0,X1,X2,X3,X4))
& v1_funct_2(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
& m2_relset_1(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2)) )
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k14_funct_3(X0,X1,X2,X3,X4))
& v1_funct_2(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
& m2_relset_1(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2)) )
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(flattening,[],[f104]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f107]) ).
fof(f111,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f122,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(sK1,sK2,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))
& m1_cat_1(sK7,sK0,sK5,sK6)
& k1_xboole_0 != k6_cat_1(sK0,sK5,sK6)
& m1_subset_1(sK6,u1_cat_1(sK0))
& m1_subset_1(sK5,u1_cat_1(sK0))
& m2_cat_1(sK4,sK0,sK2)
& m2_cat_1(sK3,sK0,sK1)
& v2_cat_1(sK2)
& l1_cat_1(sK2)
& v2_cat_1(sK1)
& l1_cat_1(sK1)
& v2_cat_1(sK0)
& l1_cat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f65]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f134,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f122]) ).
fof(f135,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f122]) ).
fof(f136,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f122]) ).
fof(f137,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f122]) ).
fof(f138,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f122]) ).
fof(f139,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f122]) ).
fof(f140,plain,
m2_cat_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f122]) ).
fof(f141,plain,
m2_cat_1(sK4,sK0,sK2),
inference(cnf_transformation,[],[f122]) ).
fof(f142,plain,
m1_subset_1(sK5,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f122]) ).
fof(f143,plain,
m1_subset_1(sK6,u1_cat_1(sK0)),
inference(cnf_transformation,[],[f122]) ).
fof(f144,plain,
k1_xboole_0 != k6_cat_1(sK0,sK5,sK6),
inference(cnf_transformation,[],[f122]) ).
fof(f145,plain,
m1_cat_1(sK7,sK0,sK5,sK6),
inference(cnf_transformation,[],[f122]) ).
fof(f146,plain,
k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(sK1,sK2,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7)),
inference(cnf_transformation,[],[f122]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4,X5] :
( k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k4_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5))
| ~ m1_subset_1(X5,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4] :
( k14_funct_3(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( k13_cat_2(X0,X1,X2,X3) = k4_tarski(X2,X3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f153,plain,
! [X2,X3,X0,X1,X4] :
( k10_isocat_2(X0,X1,X2,X3,X4) = k13_funct_3(X3,X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f154,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f155,plain,
! [X2,X3,X0,X1,X4,X5] :
( k3_nattra_1(X0,X1,X2,X3,X4,X5) = k8_funct_2(u2_cat_1(X0),u2_cat_1(X1),X2,X5)
| ~ m1_cat_1(X5,X0,X3,X4)
| k1_xboole_0 = k6_cat_1(X0,X3,X4)
| ~ m1_subset_1(X4,u1_cat_1(X0))
| ~ m1_subset_1(X3,u1_cat_1(X0))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f156,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( ~ m1_cat_1(X3,X0,X1,X2)
| m1_subset_1(X3,u2_cat_1(X0))
| ~ l1_cat_1(X0)
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ m1_subset_1(X2,u1_cat_1(X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f164,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f165,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(X2,X0,X1)
| v1_funct_1(X2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f168,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f169,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4] :
( m2_cat_1(k10_isocat_2(X0,X1,X2,X3,X4),X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k14_funct_3(X0,X1,X2,X3,X4),X0,k2_zfmisc_1(X1,X2))
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k14_funct_3(X0,X1,X2,X3,X4))
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m1_relset_1(X4,X0,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f189,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X4,X5] :
( k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k2_tarski(k2_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5)),k1_tarski(k8_funct_2(X0,X1,X3,X5)))
| ~ m1_subset_1(X5,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(definition_unfolding,[],[f148,f154]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( k13_cat_2(X0,X1,X2,X3) = k2_tarski(k2_tarski(X2,X3),k1_tarski(X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(definition_unfolding,[],[f152,f154]) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( k13_cat_2(X0,X1,X2,X3) = k2_tarski(k1_tarski(X2),k2_tarski(X2,X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(forward_demodulation,[],[f206,f156]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X4,X5] :
( k8_funct_2(X0,k2_zfmisc_1(X1,X2),k14_funct_3(X0,X1,X2,X3,X4),X5) = k2_tarski(k1_tarski(k8_funct_2(X0,X1,X3,X5)),k2_tarski(k8_funct_2(X0,X1,X3,X5),k8_funct_2(X0,X2,X4,X5)))
| ~ m1_subset_1(X5,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X0,X2)
| ~ m2_relset_1(X4,X0,X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f205,f156]) ).
fof(f241,plain,
! [X2,X3,X0,X1,X4,X5] :
( k13_cat_2(X0,X1,X2,X3) = k13_cat_2(X4,X5,X2,X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ m1_subset_1(X2,u2_cat_1(X4))
| ~ m1_subset_1(X3,u2_cat_1(X5))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X0))
| ~ m1_subset_1(X3,u2_cat_1(X1)) ),
inference(superposition,[],[f207,f207]) ).
fof(f247,definition,
( spl18_1
<=> m1_subset_1(sK7,u2_cat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f248,plain,
( m1_subset_1(sK7,u2_cat_1(sK0))
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl18_2
<=> m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f252,plain,
( m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_2 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl18_3
<=> v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f256,plain,
( v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_3 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl18_4
<=> v1_funct_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f260,plain,
( v1_funct_1(sK4)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f263,definition,
( spl18_5
<=> v1_xboole_0(u2_cat_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f264,plain,
( ~ v1_xboole_0(u2_cat_1(sK0))
| spl18_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( v1_xboole_0(u2_cat_1(sK0))
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f277,definition,
( spl18_8
<=> m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).
fof(f278,plain,
( m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f279,plain,
( ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| spl18_8 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl18_9
<=> v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f282,plain,
( v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f283,plain,
( ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| spl18_9 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl18_10
<=> v1_funct_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl18_10])],[avatar_definition]) ).
fof(f286,plain,
( v1_funct_1(sK3)
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k1_funct_1(X0,X1),X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ m1_subset_1(X1,X2) ),
inference(superposition,[],[f182,f150]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k1_funct_1(X0,X1),X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ m1_subset_1(X1,X2) ),
inference(duplicate_literal_removal,[],[f305]) ).
fof(f308,plain,
! [X2,X3,X0,X1,X4] :
( m2_cat_1(k13_funct_3(X0,X1),X2,k11_cat_2(X3,X4))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ m2_cat_1(X0,X2,X3)
| ~ m2_cat_1(X1,X2,X4)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ m2_cat_1(X0,X2,X3)
| ~ m2_cat_1(X1,X2,X4) ),
inference(superposition,[],[f170,f153]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4] :
( m2_cat_1(k13_funct_3(X0,X1),X2,k11_cat_2(X3,X4))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ m2_cat_1(X0,X2,X3)
| ~ m2_cat_1(X1,X2,X4) ),
inference(duplicate_literal_removal,[],[f308]) ).
fof(f337,plain,
( v1_funct_1(sK3)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(resolution,[],[f166,f140]) ).
fof(f338,plain,
( v1_funct_1(sK4)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(resolution,[],[f166,f141]) ).
fof(f342,plain,
( v1_funct_1(sK4)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f338,f135]) ).
fof(f343,plain,
( v1_funct_1(sK3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f337,f135]) ).
fof(f345,plain,
( v1_funct_1(sK4)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f342,f134]) ).
fof(f346,plain,
( v1_funct_1(sK3)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f343,f134]) ).
fof(f347,plain,
( v1_funct_1(sK4)
| ~ l1_cat_1(sK2) ),
inference(forward_subsumption_resolution,[],[f345,f139]) ).
fof(f348,plain,
( v1_funct_1(sK3)
| ~ l1_cat_1(sK1) ),
inference(forward_subsumption_resolution,[],[f346,f137]) ).
fof(f349,plain,
v1_funct_1(sK4),
inference(forward_subsumption_resolution,[],[f347,f138]) ).
fof(f350,plain,
v1_funct_1(sK3),
inference(forward_subsumption_resolution,[],[f348,f136]) ).
fof(f351,plain,
spl18_4,
inference(avatar_split_clause,[],[f349,f259]) ).
fof(f352,plain,
spl18_10,
inference(avatar_split_clause,[],[f350,f285]) ).
fof(f353,plain,
! [X2,X0,X1] :
( m1_relset_1(X0,u2_cat_1(X1),u2_cat_1(X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X0,X1,X2) ),
inference(resolution,[],[f164,f185]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k13_funct_3(X0,X1),X2,k2_zfmisc_1(X3,X4))
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X4)
| ~ m1_relset_1(X1,X2,X4)
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X4)
| ~ m1_relset_1(X1,X2,X4) ),
inference(superposition,[],[f179,f151]) ).
fof(f355,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k13_funct_3(X0,X1),X2,k2_zfmisc_1(X3,X4))
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X4)
| ~ m1_relset_1(X1,X2,X4) ),
inference(duplicate_literal_removal,[],[f354]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4] :
( m1_relset_1(k14_funct_3(X3,X0,X1,X2,X4),X3,k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X0)
| ~ m1_relset_1(X2,X3,X0)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X3,X1)
| ~ m1_relset_1(X4,X3,X1)
| v1_xboole_0(X0) ),
inference(resolution,[],[f178,f185]) ).
fof(f402,plain,
! [X2,X3,X0,X1,X4] :
( m1_relset_1(k13_funct_3(X0,X1),X2,k2_zfmisc_1(X3,X4))
| v1_xboole_0(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X4)
| ~ m1_relset_1(X1,X2,X4)
| v1_xboole_0(X3)
| v1_xboole_0(X3)
| v1_xboole_0(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X4)
| ~ m1_relset_1(X1,X2,X4) ),
inference(superposition,[],[f399,f151]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4] :
( m1_relset_1(k13_funct_3(X0,X1),X2,k2_zfmisc_1(X3,X4))
| v1_xboole_0(X4)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X4)
| ~ m1_relset_1(X1,X2,X4)
| v1_xboole_0(X3) ),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f508,plain,
( m1_subset_1(sK7,u2_cat_1(sK0))
| ~ l1_cat_1(sK0)
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m1_subset_1(sK6,u1_cat_1(sK0)) ),
inference(resolution,[],[f159,f145]) ).
fof(f512,plain,
( ~ l1_cat_1(sK0)
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f508,f249]) ).
fof(f514,plain,
( ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f512,f134]) ).
fof(f515,plain,
( ~ m1_subset_1(sK6,u1_cat_1(sK0))
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f514,f142]) ).
fof(f516,plain,
( $false
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f515,f143]) ).
fof(f517,plain,
spl18_1,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f518,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| spl18_8 ),
inference(resolution,[],[f279,f353]) ).
fof(f519,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| spl18_8 ),
inference(forward_subsumption_resolution,[],[f518,f135]) ).
fof(f520,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| spl18_8 ),
inference(forward_subsumption_resolution,[],[f519,f134]) ).
fof(f521,plain,
( ~ l1_cat_1(sK1)
| ~ m2_cat_1(sK3,sK0,sK1)
| spl18_8 ),
inference(forward_subsumption_resolution,[],[f520,f137]) ).
fof(f522,plain,
( ~ m2_cat_1(sK3,sK0,sK1)
| spl18_8 ),
inference(forward_subsumption_resolution,[],[f521,f136]) ).
fof(f523,plain,
( $false
| spl18_8 ),
inference(forward_subsumption_resolution,[],[f522,f140]) ).
fof(f524,plain,
spl18_8,
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f525,plain,
( ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl18_9 ),
inference(resolution,[],[f283,f165]) ).
fof(f526,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl18_9 ),
inference(forward_subsumption_resolution,[],[f525,f140]) ).
fof(f527,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl18_9 ),
inference(forward_subsumption_resolution,[],[f526,f135]) ).
fof(f528,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl18_9 ),
inference(forward_subsumption_resolution,[],[f527,f134]) ).
fof(f529,plain,
( ~ l1_cat_1(sK1)
| spl18_9 ),
inference(forward_subsumption_resolution,[],[f528,f137]) ).
fof(f530,plain,
( $false
| spl18_9 ),
inference(forward_subsumption_resolution,[],[f529,f136]) ).
fof(f531,plain,
spl18_9,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f532,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_2 ),
inference(resolution,[],[f253,f353]) ).
fof(f533,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f532,f135]) ).
fof(f534,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f533,f134]) ).
fof(f535,plain,
( ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f534,f139]) ).
fof(f536,plain,
( ~ m2_cat_1(sK4,sK0,sK2)
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f535,f138]) ).
fof(f537,plain,
( $false
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f536,f141]) ).
fof(f538,plain,
spl18_2,
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f539,plain,
( ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_3 ),
inference(resolution,[],[f257,f165]) ).
fof(f540,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_3 ),
inference(forward_subsumption_resolution,[],[f539,f141]) ).
fof(f541,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_3 ),
inference(forward_subsumption_resolution,[],[f540,f135]) ).
fof(f542,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_3 ),
inference(forward_subsumption_resolution,[],[f541,f134]) ).
fof(f543,plain,
( ~ l1_cat_1(sK2)
| spl18_3 ),
inference(forward_subsumption_resolution,[],[f542,f139]) ).
fof(f544,plain,
( $false
| spl18_3 ),
inference(forward_subsumption_resolution,[],[f543,f138]) ).
fof(f545,plain,
spl18_3,
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f561,definition,
( spl18_13
<=> l1_cat_1(k11_cat_2(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_13])],[avatar_definition]) ).
fof(f562,plain,
( l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f563,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| spl18_13 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f565,definition,
( spl18_14
<=> v2_cat_1(k11_cat_2(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_14])],[avatar_definition]) ).
fof(f566,plain,
( v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f567,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| spl18_14 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f569,definition,
( spl18_15
<=> m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).
fof(f570,plain,
( m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f571,plain,
( ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| spl18_15 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f579,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_13 ),
inference(resolution,[],[f563,f168]) ).
fof(f580,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f579,f137]) ).
fof(f581,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f580,f136]) ).
fof(f582,plain,
( ~ l1_cat_1(sK2)
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f581,f139]) ).
fof(f583,plain,
( $false
| spl18_13 ),
inference(forward_subsumption_resolution,[],[f582,f138]) ).
fof(f584,plain,
spl18_13,
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f595,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_14 ),
inference(resolution,[],[f567,f169]) ).
fof(f596,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_14 ),
inference(forward_subsumption_resolution,[],[f595,f137]) ).
fof(f597,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_14 ),
inference(forward_subsumption_resolution,[],[f596,f136]) ).
fof(f598,plain,
( ~ l1_cat_1(sK2)
| spl18_14 ),
inference(forward_subsumption_resolution,[],[f597,f139]) ).
fof(f599,plain,
( $false
| spl18_14 ),
inference(forward_subsumption_resolution,[],[f598,f138]) ).
fof(f600,plain,
spl18_14,
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f602,plain,
( ~ m2_cat_1(k13_funct_3(sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(superposition,[],[f571,f153]) ).
fof(f603,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f602,f309]) ).
fof(f605,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f603,f135]) ).
fof(f607,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f605,f134]) ).
fof(f609,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f607,f137]) ).
fof(f611,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f609,f136]) ).
fof(f613,plain,
( ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f611,f139]) ).
fof(f615,plain,
( ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f613,f138]) ).
fof(f617,plain,
( ~ m2_cat_1(sK4,sK0,sK2)
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f615,f140]) ).
fof(f620,plain,
( $false
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f617,f141]) ).
fof(f621,plain,
spl18_15,
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f635,definition,
( spl18_17
<=> v1_xboole_0(u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f636,plain,
( ~ v1_xboole_0(u2_cat_1(sK1))
| spl18_17 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f637,plain,
( v1_xboole_0(u2_cat_1(sK1))
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f646,definition,
( spl18_19
<=> v1_xboole_0(u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).
fof(f647,plain,
( ~ v1_xboole_0(u2_cat_1(sK2))
| spl18_19 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f648,plain,
( v1_xboole_0(u2_cat_1(sK2))
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f653,plain,
( v1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_15 ),
inference(resolution,[],[f570,f166]) ).
fof(f655,plain,
( v1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_15 ),
inference(forward_subsumption_resolution,[],[f653,f135]) ).
fof(f656,plain,
( v1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_15 ),
inference(forward_subsumption_resolution,[],[f655,f134]) ).
fof(f657,plain,
( v1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_14
| ~ spl18_15 ),
inference(forward_subsumption_resolution,[],[f656,f566]) ).
fof(f658,plain,
( v1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4))
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15 ),
inference(forward_subsumption_resolution,[],[f657,f562]) ).
fof(f704,definition,
( spl18_21
<=> m1_relset_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl18_21])],[avatar_definition]) ).
fof(f705,plain,
( m1_relset_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f706,plain,
( ~ m1_relset_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| spl18_21 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f708,definition,
( spl18_22
<=> v1_funct_2(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl18_22])],[avatar_definition]) ).
fof(f709,plain,
( v1_funct_2(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f710,plain,
( ~ v1_funct_2(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| spl18_22 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f722,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| spl18_21 ),
inference(resolution,[],[f706,f353]) ).
fof(f725,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| spl18_21 ),
inference(forward_subsumption_resolution,[],[f722,f135]) ).
fof(f727,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| spl18_21 ),
inference(forward_subsumption_resolution,[],[f725,f134]) ).
fof(f729,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ spl18_14
| spl18_21 ),
inference(forward_subsumption_resolution,[],[f727,f566]) ).
fof(f731,plain,
( ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ spl18_13
| ~ spl18_14
| spl18_21 ),
inference(forward_subsumption_resolution,[],[f729,f562]) ).
fof(f733,plain,
( $false
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_21 ),
inference(forward_subsumption_resolution,[],[f731,f570]) ).
fof(f734,plain,
( ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_21 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f738,plain,
( ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| spl18_22 ),
inference(resolution,[],[f710,f165]) ).
fof(f741,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_15
| spl18_22 ),
inference(forward_subsumption_resolution,[],[f738,f570]) ).
fof(f743,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_15
| spl18_22 ),
inference(forward_subsumption_resolution,[],[f741,f135]) ).
fof(f745,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_15
| spl18_22 ),
inference(forward_subsumption_resolution,[],[f743,f134]) ).
fof(f747,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl18_14
| ~ spl18_15
| spl18_22 ),
inference(forward_subsumption_resolution,[],[f745,f566]) ).
fof(f749,plain,
( $false
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_22 ),
inference(forward_subsumption_resolution,[],[f747,f562]) ).
fof(f750,plain,
( ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_22 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f864,plain,
( ~ l1_cat_1(sK1)
| ~ spl18_17 ),
inference(resolution,[],[f637,f189]) ).
fof(f865,plain,
( $false
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f864,f136]) ).
fof(f866,plain,
~ spl18_17,
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f867,plain,
( ~ l1_cat_1(sK2)
| ~ spl18_19 ),
inference(resolution,[],[f648,f189]) ).
fof(f868,plain,
( $false
| ~ spl18_19 ),
inference(forward_subsumption_resolution,[],[f867,f138]) ).
fof(f869,plain,
~ spl18_19,
inference(avatar_contradiction_clause,[],[f868]) ).
fof(f1406,plain,
! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(X0,X1,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(sK1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(sK2)) ),
inference(superposition,[],[f146,f241]) ).
fof(f1471,plain,
! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(X0,X1,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(sK1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f1406,f137]) ).
fof(f1497,plain,
! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(X0,X1,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(sK1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f1471,f136]) ).
fof(f1523,plain,
! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(X0,X1,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ l1_cat_1(sK2)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(sK1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f1497,f139]) ).
fof(f1549,plain,
! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(X0,X1,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(sK1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f1523,f138]) ).
fof(f1563,definition,
( spl18_34
<=> m1_subset_1(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl18_34])],[avatar_definition]) ).
fof(f1564,plain,
( m1_subset_1(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7),u2_cat_1(sK1))
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1565,plain,
( ~ m1_subset_1(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7),u2_cat_1(sK1))
| spl18_34 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1575,definition,
( spl18_37
<=> m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl18_37])],[avatar_definition]) ).
fof(f1576,plain,
( m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(sK1))
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1577,plain,
( ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(sK1))
| spl18_37 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1587,definition,
( spl18_40
<=> m1_subset_1(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_40])],[avatar_definition]) ).
fof(f1588,plain,
( m1_subset_1(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),u2_cat_1(sK2))
| ~ spl18_40 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f1589,plain,
( ~ m1_subset_1(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),u2_cat_1(sK2))
| spl18_40 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f1607,definition,
( spl18_45
<=> m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_45])],[avatar_definition]) ).
fof(f1608,plain,
( m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(sK2))
| ~ spl18_45 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1609,plain,
( ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(sK2))
| spl18_45 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1623,definition,
( spl18_49
<=> ! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(X0,X1,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_49])],[avatar_definition]) ).
fof(f1624,plain,
( ! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k13_cat_2(X0,X1,k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1638,plain,
( ~ spl18_45
| ~ spl18_37
| spl18_49 ),
inference(avatar_split_clause,[],[f1549,f1623,f1575,f1607]) ).
fof(f1639,plain,
( ~ m1_subset_1(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),u2_cat_1(sK2))
| ~ m1_cat_1(sK7,sK0,sK5,sK6)
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_45 ),
inference(superposition,[],[f1609,f155]) ).
fof(f1658,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK7),u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK0))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_40 ),
inference(superposition,[],[f1589,f150]) ).
fof(f1669,plain,
( ~ l1_cat_1(sK0)
| ~ spl18_5 ),
inference(resolution,[],[f265,f189]) ).
fof(f1670,plain,
( $false
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f1669,f134]) ).
fof(f1671,plain,
~ spl18_5,
inference(avatar_contradiction_clause,[],[f1670]) ).
fof(f1676,plain,
( v1_xboole_0(u2_cat_1(sK0))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_40 ),
inference(forward_subsumption_resolution,[],[f1658,f306]) ).
fof(f1678,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| spl18_40 ),
inference(forward_subsumption_resolution,[],[f1676,f264]) ).
fof(f1680,plain,
( ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| ~ spl18_4
| spl18_5
| spl18_40 ),
inference(forward_subsumption_resolution,[],[f1678,f260]) ).
fof(f1682,plain,
( ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| ~ spl18_3
| ~ spl18_4
| spl18_5
| spl18_40 ),
inference(forward_subsumption_resolution,[],[f1680,f256]) ).
fof(f1684,plain,
( ~ m1_subset_1(sK7,u2_cat_1(sK0))
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| spl18_40 ),
inference(forward_subsumption_resolution,[],[f1682,f252]) ).
fof(f1687,plain,
( $false
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| spl18_40 ),
inference(forward_subsumption_resolution,[],[f1684,f248]) ).
fof(f1688,plain,
( ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| spl18_40 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1689,plain,
( ~ m1_cat_1(sK7,sK0,sK5,sK6)
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1639,f1588]) ).
fof(f1690,plain,
( k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1689,f145]) ).
fof(f1691,plain,
( ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1690,f144]) ).
fof(f1692,plain,
( ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1691,f143]) ).
fof(f1693,plain,
( ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1692,f142]) ).
fof(f1694,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1693,f141]) ).
fof(f1695,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1694,f139]) ).
fof(f1696,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1695,f138]) ).
fof(f1697,plain,
( ~ l1_cat_1(sK0)
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1696,f135]) ).
fof(f1698,plain,
( $false
| ~ spl18_40
| spl18_45 ),
inference(forward_subsumption_resolution,[],[f1697,f134]) ).
fof(f1699,plain,
( ~ spl18_40
| spl18_45 ),
inference(avatar_contradiction_clause,[],[f1698]) ).
fof(f1700,plain,
( ~ m1_subset_1(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7),u2_cat_1(sK1))
| ~ m1_cat_1(sK7,sK0,sK5,sK6)
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_37 ),
inference(superposition,[],[f1577,f155]) ).
fof(f1702,plain,
( ~ m1_subset_1(k1_funct_1(sK3,sK7),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_34 ),
inference(superposition,[],[f1565,f150]) ).
fof(f1703,plain,
( v1_xboole_0(u2_cat_1(sK0))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_34 ),
inference(forward_subsumption_resolution,[],[f1702,f306]) ).
fof(f1705,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| spl18_34 ),
inference(forward_subsumption_resolution,[],[f1703,f264]) ).
fof(f1707,plain,
( ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| ~ spl18_10
| spl18_34 ),
inference(forward_subsumption_resolution,[],[f1705,f286]) ).
fof(f1709,plain,
( ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| ~ spl18_9
| ~ spl18_10
| spl18_34 ),
inference(forward_subsumption_resolution,[],[f1707,f282]) ).
fof(f1711,plain,
( ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_34 ),
inference(forward_subsumption_resolution,[],[f1709,f278]) ).
fof(f1714,plain,
( $false
| ~ spl18_1
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_34 ),
inference(forward_subsumption_resolution,[],[f1711,f248]) ).
fof(f1715,plain,
( ~ spl18_1
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_34 ),
inference(avatar_contradiction_clause,[],[f1714]) ).
fof(f1716,plain,
( ~ m1_cat_1(sK7,sK0,sK5,sK6)
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1700,f1564]) ).
fof(f1717,plain,
( k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1716,f145]) ).
fof(f1718,plain,
( ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1717,f144]) ).
fof(f1719,plain,
( ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1718,f143]) ).
fof(f1720,plain,
( ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1719,f142]) ).
fof(f1721,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1720,f140]) ).
fof(f1722,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1721,f137]) ).
fof(f1723,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1722,f136]) ).
fof(f1724,plain,
( ~ l1_cat_1(sK0)
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1723,f135]) ).
fof(f1725,plain,
( $false
| ~ spl18_34
| spl18_37 ),
inference(forward_subsumption_resolution,[],[f1724,f134]) ).
fof(f1726,plain,
( ~ spl18_34
| spl18_37 ),
inference(avatar_contradiction_clause,[],[f1725]) ).
fof(f1733,plain,
( ! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7)))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1)) )
| ~ spl18_49 ),
inference(superposition,[],[f1624,f207]) ).
fof(f1734,plain,
( ! [X0,X1] :
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7)))
| ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl18_49 ),
inference(duplicate_literal_removal,[],[f1733]) ).
fof(f1738,definition,
( spl18_50
<=> ! [X0] :
( ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_50])],[avatar_definition]) ).
fof(f1739,plain,
( ! [X0] :
( ~ m1_subset_1(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),u2_cat_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl18_50 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f1741,definition,
( spl18_51
<=> ! [X1] :
( ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_51])],[avatar_definition]) ).
fof(f1742,plain,
( ! [X1] :
( ~ m1_subset_1(k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7),u2_cat_1(X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ spl18_51 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1744,definition,
( spl18_52
<=> k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) = k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7))) ),
introduced(definition,[new_symbols(definition,[spl18_52])],[avatar_definition]) ).
fof(f1746,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k3_nattra_1(sK0,sK2,sK4,sK5,sK6,sK7)))
| spl18_52 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1747,plain,
( spl18_50
| spl18_51
| ~ spl18_52
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f1734,f1623,f1744,f1741,f1738]) ).
fof(f1749,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| ~ m1_cat_1(sK7,sK0,sK5,sK6)
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(superposition,[],[f1746,f155]) ).
fof(f1751,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1749,f145]) ).
fof(f1753,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1751,f144]) ).
fof(f1755,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1753,f143]) ).
fof(f1757,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1755,f142]) ).
fof(f1759,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1757,f141]) ).
fof(f1761,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1759,f139]) ).
fof(f1763,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1761,f138]) ).
fof(f1765,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1763,f135]) ).
fof(f1767,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1765,f134]) ).
fof(f1769,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k3_nattra_1(sK0,sK1,sK3,sK5,sK6,sK7)))
| spl18_52 ),
inference(forward_demodulation,[],[f1767,f156]) ).
fof(f1771,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| ~ m1_cat_1(sK7,sK0,sK5,sK6)
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(superposition,[],[f1769,f155]) ).
fof(f1772,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1771,f145]) ).
fof(f1774,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1772,f144]) ).
fof(f1776,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1774,f143]) ).
fof(f1778,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1776,f142]) ).
fof(f1780,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1778,f140]) ).
fof(f1782,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1780,f137]) ).
fof(f1783,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1782,f136]) ).
fof(f1784,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| ~ l1_cat_1(sK0)
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1783,f135]) ).
fof(f1785,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)))
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1784,f134]) ).
fof(f1786,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k2_tarski(k1_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7)),k2_tarski(k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK1),sK3,sK7),k8_funct_2(u2_cat_1(sK0),u2_cat_1(sK2),sK4,sK7)))
| spl18_52 ),
inference(forward_demodulation,[],[f1785,f156]) ).
fof(f1798,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| spl18_52 ),
inference(superposition,[],[f1786,f208]) ).
fof(f1800,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| ~ spl18_1
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1798,f248]) ).
fof(f1804,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| ~ spl18_1
| ~ spl18_4
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1800,f260]) ).
fof(f1808,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1804,f256]) ).
fof(f1812,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| ~ spl18_10
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1808,f286]) ).
fof(f1816,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| ~ spl18_9
| ~ spl18_10
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1812,f282]) ).
fof(f1820,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| ~ spl18_9
| ~ spl18_10
| spl18_19
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1816,f647]) ).
fof(f1823,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK0))
| ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1820,f636]) ).
fof(f1825,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_52 ),
inference(forward_subsumption_resolution,[],[f1823,f264]) ).
fof(f1828,definition,
( spl18_53
<=> m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl18_53])],[avatar_definition]) ).
fof(f1830,plain,
( ~ m2_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| spl18_53 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f1832,definition,
( spl18_54
<=> m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl18_54])],[avatar_definition]) ).
fof(f1834,plain,
( ~ m2_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_54 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f1836,definition,
( spl18_55
<=> k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) = k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7) ),
introduced(definition,[new_symbols(definition,[spl18_55])],[avatar_definition]) ).
fof(f1838,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k8_funct_2(u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)),k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| spl18_55 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1839,plain,
( ~ spl18_53
| ~ spl18_54
| ~ spl18_55
| ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_52 ),
inference(avatar_split_clause,[],[f1825,f1744,f646,f635,f285,f281,f263,f259,f255,f247,f1836,f1832,f1828]) ).
fof(f1842,plain,
( ~ m2_cat_1(sK3,sK0,sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl18_53 ),
inference(resolution,[],[f1830,f164]) ).
fof(f1846,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl18_53 ),
inference(forward_subsumption_resolution,[],[f1842,f140]) ).
fof(f1847,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl18_53 ),
inference(forward_subsumption_resolution,[],[f1846,f135]) ).
fof(f1848,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| spl18_53 ),
inference(forward_subsumption_resolution,[],[f1847,f134]) ).
fof(f1849,plain,
( ~ l1_cat_1(sK1)
| spl18_53 ),
inference(forward_subsumption_resolution,[],[f1848,f137]) ).
fof(f1850,plain,
( $false
| spl18_53 ),
inference(forward_subsumption_resolution,[],[f1849,f136]) ).
fof(f1851,plain,
spl18_53,
inference(avatar_contradiction_clause,[],[f1850]) ).
fof(f1852,plain,
( ~ m2_cat_1(sK4,sK0,sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_54 ),
inference(resolution,[],[f1834,f164]) ).
fof(f1856,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_54 ),
inference(forward_subsumption_resolution,[],[f1852,f141]) ).
fof(f1857,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_54 ),
inference(forward_subsumption_resolution,[],[f1856,f135]) ).
fof(f1858,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| spl18_54 ),
inference(forward_subsumption_resolution,[],[f1857,f134]) ).
fof(f1859,plain,
( ~ l1_cat_1(sK2)
| spl18_54 ),
inference(forward_subsumption_resolution,[],[f1858,f139]) ).
fof(f1860,plain,
( $false
| spl18_54 ),
inference(forward_subsumption_resolution,[],[f1859,f138]) ).
fof(f1861,plain,
spl18_54,
inference(avatar_contradiction_clause,[],[f1860]) ).
fof(f1882,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| v1_xboole_0(u2_cat_1(sK0))
| ~ v1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4))
| ~ v1_funct_2(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_55 ),
inference(superposition,[],[f1838,f150]) ).
fof(f1883,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ v1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4))
| ~ v1_funct_2(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| spl18_55 ),
inference(forward_subsumption_resolution,[],[f1882,f264]) ).
fof(f1884,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ v1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4))
| ~ v1_funct_2(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ m1_relset_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| ~ spl18_1
| spl18_5
| spl18_55 ),
inference(forward_subsumption_resolution,[],[f1883,f248]) ).
fof(f1886,definition,
( spl18_56
<=> m1_relset_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl18_56])],[avatar_definition]) ).
fof(f1888,plain,
( ~ m1_relset_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| spl18_56 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f1890,definition,
( spl18_57
<=> v1_funct_2(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl18_57])],[avatar_definition]) ).
fof(f1892,plain,
( ~ v1_funct_2(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| spl18_57 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1894,definition,
( spl18_58
<=> v1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl18_58])],[avatar_definition]) ).
fof(f1896,plain,
( ~ v1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4))
| spl18_58 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1898,definition,
( spl18_59
<=> k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) = k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7) ),
introduced(definition,[new_symbols(definition,[spl18_59])],[avatar_definition]) ).
fof(f1900,plain,
( k3_nattra_1(sK0,k11_cat_2(sK1,sK2),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK5,sK6,sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| spl18_59 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f1901,plain,
( ~ spl18_56
| ~ spl18_57
| ~ spl18_58
| ~ spl18_59
| ~ spl18_1
| spl18_5
| spl18_55 ),
inference(avatar_split_clause,[],[f1884,f1836,f263,f247,f1898,f1894,f1890,f1886]) ).
fof(f1937,plain,
( ~ m1_relset_1(k13_funct_3(sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_56 ),
inference(superposition,[],[f1888,f151]) ).
fof(f1938,plain,
( v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1937,f403]) ).
fof(f1940,plain,
( v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_17
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1938,f636]) ).
fof(f1942,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_17
| spl18_19
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1940,f647]) ).
fof(f1944,plain,
( ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1942,f286]) ).
fof(f1946,plain,
( ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1944,f282]) ).
fof(f1948,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1946,f278]) ).
fof(f1950,plain,
( ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1948,f260]) ).
fof(f1952,plain,
( ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1950,f256]) ).
fof(f1955,plain,
( $false
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f1952,f252]) ).
fof(f1956,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_56 ),
inference(avatar_contradiction_clause,[],[f1955]) ).
fof(f1958,plain,
( ~ v1_funct_2(k13_funct_3(sK3,sK4),u2_cat_1(sK0),k2_zfmisc_1(u2_cat_1(sK1),u2_cat_1(sK2)))
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_57 ),
inference(superposition,[],[f1892,f151]) ).
fof(f1959,plain,
( v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1958,f355]) ).
fof(f1961,plain,
( v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_17
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1959,f636]) ).
fof(f1963,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_17
| spl18_19
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1961,f647]) ).
fof(f1965,plain,
( ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1963,f286]) ).
fof(f1967,plain,
( ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1965,f282]) ).
fof(f1969,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1967,f278]) ).
fof(f1971,plain,
( ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1969,f260]) ).
fof(f1973,plain,
( ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1971,f256]) ).
fof(f1976,plain,
( $false
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f1973,f252]) ).
fof(f1977,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_57 ),
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1978,plain,
( v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_58 ),
inference(resolution,[],[f1896,f180]) ).
fof(f1981,plain,
( v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_17
| spl18_58 ),
inference(forward_subsumption_resolution,[],[f1978,f636]) ).
fof(f1983,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| spl18_17
| spl18_19
| spl18_58 ),
inference(forward_subsumption_resolution,[],[f1981,f647]) ).
fof(f1985,plain,
( ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_58 ),
inference(forward_subsumption_resolution,[],[f1983,f286]) ).
fof(f1987,plain,
( ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_58 ),
inference(forward_subsumption_resolution,[],[f1985,f282]) ).
fof(f1989,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_58 ),
inference(forward_subsumption_resolution,[],[f1987,f278]) ).
fof(f1991,plain,
( ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_58 ),
inference(forward_subsumption_resolution,[],[f1989,f260]) ).
fof(f1993,plain,
( ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_58 ),
inference(forward_subsumption_resolution,[],[f1991,f256]) ).
fof(f1995,plain,
( $false
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_58 ),
inference(forward_subsumption_resolution,[],[f1993,f252]) ).
fof(f1996,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_58 ),
inference(avatar_contradiction_clause,[],[f1995]) ).
fof(f2001,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m1_cat_1(sK7,sK0,sK5,sK6)
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_59 ),
inference(superposition,[],[f1900,f155]) ).
fof(f2002,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| k1_xboole_0 = k6_cat_1(sK0,sK5,sK6)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2001,f145]) ).
fof(f2004,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m1_subset_1(sK6,u1_cat_1(sK0))
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2002,f144]) ).
fof(f2006,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m1_subset_1(sK5,u1_cat_1(sK0))
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2004,f143]) ).
fof(f2008,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m2_cat_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2006,f142]) ).
fof(f2010,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_15
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2008,f570]) ).
fof(f2012,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_14
| ~ spl18_15
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2010,f566]) ).
fof(f2014,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2012,f562]) ).
fof(f2016,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ l1_cat_1(sK0)
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2014,f135]) ).
fof(f2018,plain,
( k8_funct_2(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)),k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2016,f134]) ).
fof(f2020,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| v1_xboole_0(u2_cat_1(sK0))
| ~ v1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4))
| ~ v1_funct_2(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_relset_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_59 ),
inference(superposition,[],[f2018,f150]) ).
fof(f2021,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ v1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4))
| ~ v1_funct_2(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_relset_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2020,f264]) ).
fof(f2023,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ v1_funct_2(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_relset_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2021,f658]) ).
fof(f2025,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m1_relset_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2023,f709]) ).
fof(f2027,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ m1_subset_1(sK7,u2_cat_1(sK0))
| spl18_5
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2025,f705]) ).
fof(f2029,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k14_funct_3(u2_cat_1(sK0),u2_cat_1(sK1),u2_cat_1(sK2),sK3,sK4),sK7)
| ~ spl18_1
| spl18_5
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2027,f248]) ).
fof(f2150,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| v1_xboole_0(u2_cat_1(sK1))
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_1
| spl18_5
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(superposition,[],[f2029,f151]) ).
fof(f2151,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| v1_xboole_0(u2_cat_1(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_1
| spl18_5
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2150,f636]) ).
fof(f2152,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_1
| spl18_5
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2151,f647]) ).
fof(f2153,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| ~ v1_funct_2(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_1
| spl18_5
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2152,f286]) ).
fof(f2154,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| ~ m1_relset_1(sK3,u2_cat_1(sK0),u2_cat_1(sK1))
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_1
| spl18_5
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2153,f282]) ).
fof(f2155,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_1
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2154,f278]) ).
fof(f2156,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| ~ v1_funct_2(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_1
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2155,f260]) ).
fof(f2157,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| ~ m1_relset_1(sK4,u2_cat_1(sK0),u2_cat_1(sK2))
| ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2156,f256]) ).
fof(f2158,plain,
( k1_funct_1(k10_isocat_2(sK0,sK1,sK2,sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2157,f252]) ).
fof(f2159,plain,
( k1_funct_1(k13_funct_3(sK3,sK4),sK7) != k1_funct_1(k13_funct_3(sK3,sK4),sK7)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(superposition,[],[f2158,f153]) ).
fof(f2160,plain,
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(trivial_inequality_removal,[],[f2159]) ).
fof(f2161,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2160,f135]) ).
fof(f2162,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2161,f134]) ).
fof(f2163,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2162,f137]) ).
fof(f2164,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2163,f136]) ).
fof(f2165,plain,
( ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2164,f139]) ).
fof(f2166,plain,
( ~ m2_cat_1(sK3,sK0,sK1)
| ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2165,f138]) ).
fof(f2167,plain,
( ~ m2_cat_1(sK4,sK0,sK2)
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2166,f140]) ).
fof(f2168,plain,
( $false
| ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f2167,f141]) ).
fof(f2169,plain,
( ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2217,plain,
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ spl18_37
| ~ spl18_50 ),
inference(resolution,[],[f1739,f1576]) ).
fof(f2220,plain,
( ~ l1_cat_1(sK1)
| ~ spl18_37
| ~ spl18_50 ),
inference(forward_subsumption_resolution,[],[f2217,f137]) ).
fof(f2222,plain,
( $false
| ~ spl18_37
| ~ spl18_50 ),
inference(forward_subsumption_resolution,[],[f2220,f136]) ).
fof(f2223,plain,
( ~ spl18_37
| ~ spl18_50 ),
inference(avatar_contradiction_clause,[],[f2222]) ).
fof(f2231,plain,
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ spl18_45
| ~ spl18_51 ),
inference(resolution,[],[f1742,f1608]) ).
fof(f2233,plain,
( ~ l1_cat_1(sK2)
| ~ spl18_45
| ~ spl18_51 ),
inference(forward_subsumption_resolution,[],[f2231,f139]) ).
fof(f2234,plain,
( $false
| ~ spl18_45
| ~ spl18_51 ),
inference(forward_subsumption_resolution,[],[f2233,f138]) ).
fof(f2235,plain,
( ~ spl18_45
| ~ spl18_51 ),
inference(avatar_contradiction_clause,[],[f2234]) ).
cnf(s5,plain,
spl18_4,
inference(sat_conversion,[],[f351]) ).
cnf(s6,plain,
spl18_10,
inference(sat_conversion,[],[f352]) ).
cnf(s7,plain,
spl18_1,
inference(sat_conversion,[],[f517]) ).
cnf(s8,plain,
spl18_8,
inference(sat_conversion,[],[f524]) ).
cnf(s9,plain,
spl18_9,
inference(sat_conversion,[],[f531]) ).
cnf(s10,plain,
spl18_2,
inference(sat_conversion,[],[f538]) ).
cnf(s11,plain,
spl18_3,
inference(sat_conversion,[],[f545]) ).
cnf(s13,plain,
spl18_13,
inference(sat_conversion,[],[f584]) ).
cnf(s14,plain,
spl18_14,
inference(sat_conversion,[],[f600]) ).
cnf(s16,plain,
spl18_15,
inference(sat_conversion,[],[f621]) ).
cnf(s20,plain,
( ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_21 ),
inference(sat_conversion,[],[f734]) ).
cnf(s21,plain,
( ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_22 ),
inference(sat_conversion,[],[f750]) ).
cnf(s25,plain,
~ spl18_17,
inference(sat_conversion,[],[f866]) ).
cnf(s26,plain,
~ spl18_19,
inference(sat_conversion,[],[f869]) ).
cnf(s55,plain,
( ~ spl18_37
| ~ spl18_45
| spl18_49 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s58,plain,
~ spl18_5,
inference(sat_conversion,[],[f1671]) ).
cnf(s61,plain,
( ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| spl18_40 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s62,plain,
( ~ spl18_40
| spl18_45 ),
inference(sat_conversion,[],[f1699]) ).
cnf(s64,plain,
( ~ spl18_1
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_34 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s65,plain,
( ~ spl18_34
| spl18_37 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s66,plain,
( ~ spl18_49
| spl18_50
| spl18_51
| ~ spl18_52 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s67,plain,
( ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_52
| ~ spl18_53
| ~ spl18_54
| ~ spl18_55 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s69,plain,
spl18_53,
inference(sat_conversion,[],[f1851]) ).
cnf(s71,plain,
spl18_54,
inference(sat_conversion,[],[f1861]) ).
cnf(s72,plain,
( ~ spl18_1
| spl18_5
| spl18_55
| ~ spl18_56
| ~ spl18_57
| ~ spl18_58
| ~ spl18_59 ),
inference(sat_conversion,[],[f1901]) ).
cnf(s74,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_56 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s76,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_57 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s77,plain,
( ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_58 ),
inference(sat_conversion,[],[f1996]) ).
cnf(s82,plain,
( ~ spl18_1
| ~ spl18_2
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_8
| ~ spl18_9
| ~ spl18_10
| ~ spl18_13
| ~ spl18_14
| ~ spl18_15
| spl18_17
| spl18_19
| ~ spl18_21
| ~ spl18_22
| spl18_59 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s86,plain,
( ~ spl18_37
| ~ spl18_50 ),
inference(sat_conversion,[],[f2223]) ).
cnf(s87,plain,
( ~ spl18_45
| ~ spl18_51 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s88,plain,
( ~ spl18_1
| ~ spl18_3
| ~ spl18_4
| spl18_5
| ~ spl18_9
| ~ spl18_10
| spl18_17
| spl18_19
| spl18_52
| ~ spl18_55 ),
inference(rat,[],[s67,s71,s69]) ).
cnf(s97,plain,
spl18_22,
inference(rat,[],[s21,s14,s16,s13]) ).
cnf(s98,plain,
spl18_21,
inference(rat,[],[s20,s14,s16,s13]) ).
cnf(s103,plain,
spl18_34,
inference(rat,[],[s64,s7,s8,s9,s58,s6]) ).
cnf(s104,plain,
spl18_37,
inference(rat,[],[s65,s103]) ).
cnf(s105,plain,
~ spl18_50,
inference(rat,[],[s86,s104]) ).
cnf(s106,plain,
spl18_58,
inference(rat,[],[s77,s6,s26,s25,s8,s9,s10,s11,s5]) ).
cnf(s107,plain,
spl18_57,
inference(rat,[],[s76,s6,s26,s25,s8,s9,s10,s11,s5]) ).
cnf(s108,plain,
spl18_56,
inference(rat,[],[s74,s6,s26,s25,s8,s9,s10,s11,s5]) ).
cnf(s110,plain,
spl18_59,
inference(rat,[],[s82,s6,s97,s98,s26,s25,s16,s14,s13,s7,s9,s8,s58,s10,s11,s5]) ).
cnf(s111,plain,
spl18_40,
inference(rat,[],[s61,s7,s58,s10,s11,s5]) ).
cnf(s113,plain,
spl18_55,
inference(rat,[],[s72,s110,s106,s107,s7,s58,s108]) ).
cnf(s114,plain,
spl18_45,
inference(rat,[],[s62,s111]) ).
cnf(s117,plain,
spl18_52,
inference(rat,[],[s88,s5,s6,s26,s25,s7,s9,s58,s11,s113]) ).
cnf(s118,plain,
~ spl18_51,
inference(rat,[],[s87,s114]) ).
cnf(s119,plain,
spl18_49,
inference(rat,[],[s55,s104,s114]) ).
cnf(s122,plain,
$false,
inference(rat,[],[s66,s117,s105,s118,s119]) ).
fof(f2236,plain,
$false,
inference(avatar_sat_refutation,[],[s122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT029+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n017.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 21:14:37 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 11.20/2.25 % (4042944)Detected formulas, will run a generic FOF schedule.
% 11.20/2.25 % (4042950)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=2029059116:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.20/2.25 % (4042954)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=185072524:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.20/2.25 % (4042949)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=1690937272:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.20/2.25 % (4042952)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4157579999:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.20/2.25 % (4042953)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=969242872:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.20/2.25 % (4042951)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=4082268759:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.20/2.25 % (4042955)dis-21_1_sil=8000:lcm=predicate:random_seed=299929682: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)
% 11.20/2.25 % (4042952)Refutation not found, incomplete strategy
% 11.20/2.25 % (4042952)------------------------------
% 11.20/2.25 % (4042952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.25 % (4042952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.25 % (4042952)CaDiCaL version: 2.1.3
% 11.20/2.25 % (4042952)Termination reason: Refutation not found, incomplete strategy
% 11.20/2.25 % (4042952)Time elapsed: 0.006 s
% 11.20/2.25 % (4042952)Peak memory usage: 89 MB
% 11.20/2.25 % (4042952)Instructions burned: 7 (million)
% 11.20/2.25 % (4042953)Instruction limit reached!
% 11.20/2.25 % (4042953)------------------------------
% 11.20/2.25 % (4042953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.25 % (4042953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.25 % (4042953)CaDiCaL version: 2.1.3
% 11.20/2.25 % (4042953)Termination reason: Instruction limit
% 11.20/2.25 % (4042953)Termination phase: Saturation
% 11.20/2.25 % (4042953)Time elapsed: 0.059 s
% 11.20/2.25 % (4042953)Peak memory usage: 88 MB
% 11.20/2.25 % (4042953)Instructions burned: 121 (million)
% 11.20/2.25 % (4042955)Instruction limit reached!
% 11.20/2.25 % (4042955)------------------------------
% 11.20/2.25 % (4042955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.25 % (4042955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.25 % (4042955)CaDiCaL version: 2.1.3
% 11.20/2.25 % (4042955)Termination reason: Instruction limit
% 11.20/2.25 % (4042955)Termination phase: Saturation
% 11.20/2.25 % (4042955)Time elapsed: 0.076 s
% 11.20/2.25 % (4042955)Peak memory usage: 90 MB
% 11.20/2.25 % (4042955)Instructions burned: 130 (million)
% 11.20/2.25 % (4042954)Instruction limit reached!
% 11.20/2.25 % (4042954)------------------------------
% 11.20/2.25 % (4042954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.25 % (4042954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.25 % (4042954)CaDiCaL version: 2.1.3
% 11.20/2.25 % (4042954)Termination reason: Instruction limit
% 11.20/2.25 % (4042954)Termination phase: Saturation
% 11.20/2.25 % (4042954)Time elapsed: 0.089 s
% 11.20/2.25 % (4042954)Peak memory usage: 90 MB
% 11.20/2.25 % (4042954)Instructions burned: 139 (million)
% 11.20/2.25 % (4042963)lrs+10_1_sil=8000:sp=occurrence:random_seed=873195559:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.20/2.25 % (4042964)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2056021707:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.20/2.25 % (4042965)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1369551346:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.20/2.25 % (4042952)------------------------------
% 11.20/2.25 % (4042952)------------------------------
% 11.20/2.25 % (4042964)Instruction limit reached!
% 11.20/2.25 % (4042964)------------------------------
% 11.20/2.25 % (4042964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042964)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042964)Termination reason: Instruction limit
% 15.04/3.00 % (4042964)Termination phase: Saturation
% 15.04/3.00 % (4042964)Time elapsed: 0.080 s
% 15.04/3.00 % (4042964)Peak memory usage: 91 MB
% 15.04/3.00 % (4042964)Instructions burned: 157 (million)
% 15.04/3.00 % (4042963)Instruction limit reached!
% 15.04/3.00 % (4042963)------------------------------
% 15.04/3.00 % (4042963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042963)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042963)Termination reason: Instruction limit
% 15.04/3.00 % (4042963)Termination phase: Saturation
% 15.04/3.00 % (4042963)Time elapsed: 0.141 s
% 15.04/3.00 % (4042963)Peak memory usage: 93 MB
% 15.04/3.00 % (4042963)Instructions burned: 286 (million)
% 15.04/3.00 % (4042969)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=1981166099:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.04/3.00 % (4042971)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2144373998:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 15.04/3.00 % (4042970)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=818266929:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.04/3.00 % (4042970)Refutation not found, incomplete strategy
% 15.04/3.00 % (4042970)------------------------------
% 15.04/3.00 % (4042970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042970)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042970)Termination reason: Refutation not found, incomplete strategy
% 15.04/3.00 % (4042970)Time elapsed: 0.007 s
% 15.04/3.00 % (4042970)Peak memory usage: 89 MB
% 15.04/3.00 % (4042970)Instructions burned: 10 (million)
% 15.04/3.00 % (4042965)Instruction limit reached!
% 15.04/3.00 % (4042965)------------------------------
% 15.04/3.00 % (4042965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042965)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042965)Termination reason: Instruction limit
% 15.04/3.00 % (4042965)Termination phase: Saturation
% 15.04/3.00 % (4042965)Time elapsed: 0.214 s
% 15.04/3.00 % (4042965)Peak memory usage: 92 MB
% 15.04/3.00 % (4042965)Instructions burned: 326 (million)
% 15.04/3.00 % (4042969)Instruction limit reached!
% 15.04/3.00 % (4042969)------------------------------
% 15.04/3.00 % (4042969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042969)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042969)Termination reason: Instruction limit
% 15.04/3.00 % (4042969)Termination phase: Saturation
% 15.04/3.00 % (4042969)Time elapsed: 0.132 s
% 15.04/3.00 % (4042969)Peak memory usage: 92 MB
% 15.04/3.00 % (4042969)Instructions burned: 249 (million)
% 15.04/3.00 % (4042975)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3762385542:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.04/3.00 % (4042975)Instruction limit reached!
% 15.04/3.00 % (4042975)------------------------------
% 15.04/3.00 % (4042975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042975)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042975)Termination reason: Instruction limit
% 15.04/3.00 % (4042975)Termination phase: Saturation
% 15.04/3.00 % (4042975)Time elapsed: 0.077 s
% 15.04/3.00 % (4042975)Peak memory usage: 91 MB
% 15.04/3.00 % (4042975)Instructions burned: 114 (million)
% 15.04/3.00 % (4042976)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1229280143:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 15.04/3.00 % (4042970)------------------------------
% 15.04/3.00 % (4042970)------------------------------
% 15.04/3.00 % (4042976)Instruction limit reached!
% 15.04/3.00 % (4042976)------------------------------
% 15.04/3.00 % (4042976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042976)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042976)Termination reason: Instruction limit
% 15.04/3.00 % (4042976)Termination phase: Saturation
% 15.04/3.00 % (4042976)Time elapsed: 0.070 s
% 15.04/3.00 % (4042976)Peak memory usage: 89 MB
% 15.04/3.00 % (4042976)Instructions burned: 128 (million)
% 15.04/3.00 % (4042978)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1854889908:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 15.04/3.00 % (4042980)lrs+10_1_sil=8000:sp=occurrence:random_seed=3969816163:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 15.04/3.00 % (4042981)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=689514236:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 15.04/3.00 % (4042981)Refutation not found, incomplete strategy
% 15.04/3.00 % (4042981)------------------------------
% 15.04/3.00 % (4042981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042981)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042981)Termination reason: Refutation not found, incomplete strategy
% 15.04/3.00 % (4042981)Time elapsed: 0.002 s
% 15.04/3.00 % (4042981)Peak memory usage: 89 MB
% 15.04/3.00 % (4042981)Instructions burned: 5 (million)
% 15.04/3.00 % (4042978)Instruction limit reached!
% 15.04/3.00 % (4042978)------------------------------
% 15.04/3.00 % (4042978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042978)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042978)Termination reason: Instruction limit
% 15.04/3.00 % (4042978)Termination phase: Saturation
% 15.04/3.00 % (4042978)Time elapsed: 0.071 s
% 15.04/3.00 % (4042978)Peak memory usage: 90 MB
% 15.04/3.00 % (4042978)Instructions burned: 114 (million)
% 15.04/3.00 % (4042981)------------------------------
% 15.04/3.00 % (4042981)------------------------------
% 15.04/3.00 % (4042985)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3215957926:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 15.04/3.00 % (4042986)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=827135209:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 15.04/3.00 % (4042986)Instruction limit reached!
% 15.04/3.00 % (4042986)------------------------------
% 15.04/3.00 % (4042986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042986)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042986)Termination reason: Instruction limit
% 15.04/3.00 % (4042986)Termination phase: Saturation
% 15.04/3.00 % (4042986)Time elapsed: 0.041 s
% 15.04/3.00 % (4042986)Peak memory usage: 91 MB
% 15.04/3.00 % (4042986)Instructions burned: 138 (million)
% 15.04/3.00 % (4042989)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=802617257:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 15.04/3.00 % (4042989)Instruction limit reached!
% 15.04/3.00 % (4042989)------------------------------
% 15.04/3.00 % (4042989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042980)Instruction limit reached!
% 15.04/3.00 % (4042980)------------------------------
% 15.04/3.00 % (4042980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042980)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042989)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042980)Termination reason: Instruction limit
% 15.04/3.00 % (4042980)Termination phase: Saturation
% 15.04/3.00 % (4042989)Termination reason: Instruction limit
% 15.04/3.00 % (4042989)Termination phase: Saturation
% 15.04/3.00 % (4042980)Time elapsed: 0.510 s
% 15.04/3.00 % (4042989)Time elapsed: 0.131 s
% 15.04/3.00 % (4042980)Peak memory usage: 101 MB
% 15.04/3.00 % (4042989)Peak memory usage: 90 MB
% 15.04/3.00 % (4042989)Instructions burned: 597 (million)
% 15.04/3.00 % (4042980)Instructions burned: 908 (million)
% 15.04/3.00 % (4042991)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2084938658:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 15.04/3.00 % (4042992)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=1127818034:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 15.04/3.00 % (4042992)Instruction limit reached!
% 15.04/3.00 % (4042992)------------------------------
% 15.04/3.00 % (4042992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042992)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042992)Termination reason: Instruction limit
% 15.04/3.00 % (4042992)Termination phase: Saturation
% 15.04/3.00 % (4042992)Time elapsed: 0.081 s
% 15.04/3.00 % (4042992)Peak memory usage: 91 MB
% 15.04/3.00 % (4042992)Instructions burned: 127 (million)
% 15.04/3.00 % (4042995)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3817476534:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 15.04/3.00 % (4042971)Instruction limit reached!
% 15.04/3.00 % (4042971)------------------------------
% 15.04/3.00 % (4042971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042971)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042971)Termination reason: Instruction limit
% 15.04/3.00 % (4042971)Termination phase: Saturation
% 15.04/3.00 % (4042971)Time elapsed: 1.334 s
% 15.04/3.00 % (4042971)Peak memory usage: 141 MB
% 15.04/3.00 % (4042971)Instructions burned: 2350 (million)
% 15.04/3.00 % (4042995)Instruction limit reached!
% 15.04/3.00 % (4042995)------------------------------
% 15.04/3.00 % (4042995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042995)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042995)Termination reason: Instruction limit
% 15.04/3.00 % (4042995)Termination phase: Saturation
% 15.04/3.00 % (4042995)Time elapsed: 0.075 s
% 15.04/3.00 % (4042995)Peak memory usage: 90 MB
% 15.04/3.00 % (4042995)Instructions burned: 135 (million)
% 15.04/3.00 % (4042997)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=985300007:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 15.04/3.00 % (4042985)First to succeed.
% 15.04/3.00 % (4042998)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=128340458:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 15.04/3.00 % (4042985)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4042944"
% 15.04/3.00 % (4042997)Instruction limit reached!
% 15.04/3.00 % (4042997)------------------------------
% 15.04/3.00 % (4042997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042997)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042997)Termination reason: Instruction limit
% 15.04/3.00 % (4042997)Termination phase: Saturation
% 15.04/3.00 % (4042997)Time elapsed: 0.079 s
% 15.04/3.00 % (4042997)Peak memory usage: 93 MB
% 15.04/3.00 % (4042997)Instructions burned: 142 (million)
% 15.04/3.00 % (4043001)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=1440059928:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 15.04/3.00 % (4042998)Instruction limit reached!
% 15.04/3.00 % (4042998)------------------------------
% 15.04/3.00 % (4042998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.00 % (4042998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.00 % (4042998)CaDiCaL version: 2.1.3
% 15.04/3.00 % (4042998)Termination reason: Instruction limit
% 15.04/3.00 % (4042998)Termination phase: Saturation
% 15.04/3.00 % (4042998)Time elapsed: 0.255 s
% 15.04/3.00 % (4042998)Peak memory usage: 91 MB
% 15.04/3.00 % (4042998)Instructions burned: 431 (million)
% 15.04/3.00 % (4042985)Refutation found. Thanks to Tanya!
% 15.04/3.00 % SZS status Theorem for theBenchmark
% 15.04/3.00 % SZS output start Proof for theBenchmark
% See solution above
% 16.95/3.10 % (4042985)------------------------------
% 16.95/3.10 % (4042985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.95/3.10 % (4042985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.95/3.10 % (4042985)CaDiCaL version: 2.1.3
% 16.95/3.10 % (4042985)Termination reason: Refutation
% 16.95/3.10 % (4042985)Time elapsed: 0.922 s
% 16.95/3.10 % (4042985)Peak memory usage: 133 MB
% 16.95/3.10 % (4042985)Instructions burned: 1426 (million)
% 16.95/3.10 % (4042985)------------------------------
% 16.95/3.10 % (4042985)------------------------------
% 16.95/3.10 % (4042944)Success in time 2.325 s
% 16.95/3.10 % Vampire exiting
%------------------------------------------------------------------------------