TSTP Solution File: TOP024+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP024+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 18:25:17 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 87
% Syntax : Number of formulae : 334 ( 46 unt; 0 def)
% Number of atoms : 1084 ( 69 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 1132 ( 382 ~; 364 |; 290 &)
% ( 50 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 71 ( 69 usr; 46 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 205 ( 176 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1821,plain,
$false,
inference(avatar_sat_refutation,[],[f382,f385,f398,f401,f416,f425,f439,f469,f472,f492,f507,f513,f514,f515,f526,f535,f551,f595,f599,f622,f625,f647,f654,f664,f745,f1125,f1257,f1502,f1515,f1703,f1708,f1714,f1820]) ).
fof(f1820,plain,
~ spl22_12,
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1819,plain,
( $false
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f1818,f218]) ).
fof(f218,plain,
l1_pre_topc(sK5),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ~ v1_tops_1(sK6,sK5)
& v1_tsp_2(sK6,sK5)
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK5)))
& l1_pre_topc(sK5)
& v2_pre_topc(sK5)
& ~ v3_struct_0(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f89,f175,f174]) ).
fof(f174,plain,
( ? [X0] :
( ? [X1] :
( ~ v1_tops_1(X1,X0)
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ~ v1_tops_1(X1,sK5)
& v1_tsp_2(X1,sK5)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK5))) )
& l1_pre_topc(sK5)
& v2_pre_topc(sK5)
& ~ v3_struct_0(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
( ? [X1] :
( ~ v1_tops_1(X1,sK5)
& v1_tsp_2(X1,sK5)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK5))) )
=> ( ~ v1_tops_1(sK6,sK5)
& v1_tsp_2(sK6,sK5)
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK5))) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ~ v1_tops_1(X1,X0)
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
? [X0] :
( ? [X1] :
( ~ v1_tops_1(X1,X0)
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> v1_tops_1(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> v1_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(f1818,plain,
( ~ l1_pre_topc(sK5)
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f1817,f219]) ).
fof(f219,plain,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK5))),
inference(cnf_transformation,[],[f176]) ).
fof(f1817,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_pre_topc(sK5)
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f1816,f221]) ).
fof(f221,plain,
~ v1_tops_1(sK6,sK5),
inference(cnf_transformation,[],[f176]) ).
fof(f1816,plain,
( v1_tops_1(sK6,sK5)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_pre_topc(sK5)
| ~ spl22_12 ),
inference(trivial_inequality_removal,[],[f1813]) ).
fof(f1813,plain,
( u1_struct_0(sK5) != u1_struct_0(sK5)
| v1_tops_1(sK6,sK5)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_pre_topc(sK5)
| ~ spl22_12 ),
inference(superposition,[],[f237,f1810]) ).
fof(f1810,plain,
( u1_struct_0(sK5) = k6_pre_topc(sK5,sK6)
| ~ spl22_12 ),
inference(forward_demodulation,[],[f1808,f1101]) ).
fof(f1101,plain,
( u1_struct_0(sK5) = k6_pre_topc(sK5,u1_struct_0(sK5))
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f1100,f218]) ).
fof(f1100,plain,
( u1_struct_0(sK5) = k6_pre_topc(sK5,u1_struct_0(sK5))
| ~ l1_pre_topc(sK5)
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f1072,f498]) ).
fof(f498,plain,
v4_pre_topc(u1_struct_0(sK5),sK5),
inference(subsumption_resolution,[],[f497,f217]) ).
fof(f217,plain,
v2_pre_topc(sK5),
inference(cnf_transformation,[],[f176]) ).
fof(f497,plain,
( v4_pre_topc(u1_struct_0(sK5),sK5)
| ~ v2_pre_topc(sK5) ),
inference(subsumption_resolution,[],[f493,f218]) ).
fof(f493,plain,
( v4_pre_topc(u1_struct_0(sK5),sK5)
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5) ),
inference(superposition,[],[f291,f445]) ).
fof(f445,plain,
u1_struct_0(sK5) = k2_pre_topc(sK5),
inference(resolution,[],[f405,f218]) ).
fof(f405,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f247,f231]) ).
fof(f231,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f247,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( u1_struct_0(X0) = k2_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( l1_struct_0(X0)
=> u1_struct_0(X0) = k2_pre_topc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f291,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> v4_pre_topc(k2_pre_topc(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_pre_topc) ).
fof(f1072,plain,
( ~ v4_pre_topc(u1_struct_0(sK5),sK5)
| u1_struct_0(sK5) = k6_pre_topc(sK5,u1_struct_0(sK5))
| ~ l1_pre_topc(sK5)
| ~ spl22_12 ),
inference(resolution,[],[f233,f468]) ).
fof(f468,plain,
( m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl22_12
<=> m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f233,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) = X1
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ( ( v4_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) != X1
| ~ v2_pre_topc(X0) )
& ( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( ( v4_pre_topc(X1,X0)
| k6_pre_topc(X0,X1) != X1
| ~ v2_pre_topc(X0) )
& ( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( ( k6_pre_topc(X0,X1) = X1
& v2_pre_topc(X0) )
=> v4_pre_topc(X1,X0) )
& ( v4_pre_topc(X1,X0)
=> k6_pre_topc(X0,X1) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(f1808,plain,
k6_pre_topc(sK5,u1_struct_0(sK5)) = k6_pre_topc(sK5,sK6),
inference(superposition,[],[f1673,f1797]) ).
fof(f1797,plain,
u1_struct_0(sK5) = k3_tex_4(sK5,sK6),
inference(subsumption_resolution,[],[f1796,f216]) ).
fof(f216,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f176]) ).
fof(f1796,plain,
( u1_struct_0(sK5) = k3_tex_4(sK5,sK6)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1795,f217]) ).
fof(f1795,plain,
( u1_struct_0(sK5) = k3_tex_4(sK5,sK6)
| ~ v2_pre_topc(sK5)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1794,f218]) ).
fof(f1794,plain,
( u1_struct_0(sK5) = k3_tex_4(sK5,sK6)
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1763,f220]) ).
fof(f220,plain,
v1_tsp_2(sK6,sK5),
inference(cnf_transformation,[],[f176]) ).
fof(f1763,plain,
( ~ v1_tsp_2(sK6,sK5)
| u1_struct_0(sK5) = k3_tex_4(sK5,sK6)
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5)
| v3_struct_0(sK5) ),
inference(resolution,[],[f278,f219]) ).
fof(f278,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0) )
& ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0) )
& ( ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( u1_struct_0(X0) = k3_tex_4(X0,X1)
& v1_tsp_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(f1673,plain,
k6_pre_topc(sK5,sK6) = k6_pre_topc(sK5,k3_tex_4(sK5,sK6)),
inference(subsumption_resolution,[],[f1672,f216]) ).
fof(f1672,plain,
( k6_pre_topc(sK5,sK6) = k6_pre_topc(sK5,k3_tex_4(sK5,sK6))
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1671,f217]) ).
fof(f1671,plain,
( k6_pre_topc(sK5,sK6) = k6_pre_topc(sK5,k3_tex_4(sK5,sK6))
| ~ v2_pre_topc(sK5)
| v3_struct_0(sK5) ),
inference(subsumption_resolution,[],[f1642,f218]) ).
fof(f1642,plain,
( k6_pre_topc(sK5,sK6) = k6_pre_topc(sK5,k3_tex_4(sK5,sK6))
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5)
| v3_struct_0(sK5) ),
inference(resolution,[],[f276,f219]) ).
fof(f276,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_tex_4) ).
fof(f237,plain,
! [X0,X1] :
( u1_struct_0(X0) != k6_pre_topc(X0,X1)
| v1_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tops_1(X1,X0)
| u1_struct_0(X0) != k6_pre_topc(X0,X1) )
& ( u1_struct_0(X0) = k6_pre_topc(X0,X1)
| ~ v1_tops_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ( v1_tops_1(X1,X0)
<=> u1_struct_0(X0) = k6_pre_topc(X0,X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tops_1(X1,X0)
<=> u1_struct_0(X0) = k6_pre_topc(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tops_3) ).
fof(f1714,plain,
spl22_44,
inference(avatar_contradiction_clause,[],[f1713]) ).
fof(f1713,plain,
( $false
| spl22_44 ),
inference(subsumption_resolution,[],[f1712,f216]) ).
fof(f1712,plain,
( v3_struct_0(sK5)
| spl22_44 ),
inference(subsumption_resolution,[],[f1711,f218]) ).
fof(f1711,plain,
( ~ l1_pre_topc(sK5)
| v3_struct_0(sK5)
| spl22_44 ),
inference(subsumption_resolution,[],[f1709,f219]) ).
fof(f1709,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_pre_topc(sK5)
| v3_struct_0(sK5)
| spl22_44 ),
inference(resolution,[],[f1698,f337]) ).
fof(f337,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_tex_4) ).
fof(f1698,plain,
( ~ m1_subset_1(k3_tex_4(sK5,sK6),k1_zfmisc_1(u1_struct_0(sK5)))
| spl22_44 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f1696,plain,
( spl22_44
<=> m1_subset_1(k3_tex_4(sK5,sK6),k1_zfmisc_1(u1_struct_0(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_44])]) ).
fof(f1708,plain,
spl22_45,
inference(avatar_contradiction_clause,[],[f1707]) ).
fof(f1707,plain,
( $false
| spl22_45 ),
inference(subsumption_resolution,[],[f1706,f217]) ).
fof(f1706,plain,
( ~ v2_pre_topc(sK5)
| spl22_45 ),
inference(subsumption_resolution,[],[f1705,f218]) ).
fof(f1705,plain,
( ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5)
| spl22_45 ),
inference(subsumption_resolution,[],[f1704,f219]) ).
fof(f1704,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5)
| spl22_45 ),
inference(resolution,[],[f1701,f338]) ).
fof(f338,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(f1701,plain,
( ~ v4_pre_topc(k6_pre_topc(sK5,sK6),sK5)
| spl22_45 ),
inference(avatar_component_clause,[],[f1700]) ).
fof(f1700,plain,
( spl22_45
<=> v4_pre_topc(k6_pre_topc(sK5,sK6),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_45])]) ).
fof(f1703,plain,
( ~ spl22_44
| spl22_45 ),
inference(avatar_split_clause,[],[f1689,f1700,f1696]) ).
fof(f1689,plain,
( v4_pre_topc(k6_pre_topc(sK5,sK6),sK5)
| ~ m1_subset_1(k3_tex_4(sK5,sK6),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(subsumption_resolution,[],[f1688,f217]) ).
fof(f1688,plain,
( v4_pre_topc(k6_pre_topc(sK5,sK6),sK5)
| ~ m1_subset_1(k3_tex_4(sK5,sK6),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ v2_pre_topc(sK5) ),
inference(subsumption_resolution,[],[f1685,f218]) ).
fof(f1685,plain,
( v4_pre_topc(k6_pre_topc(sK5,sK6),sK5)
| ~ m1_subset_1(k3_tex_4(sK5,sK6),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5) ),
inference(superposition,[],[f338,f1673]) ).
fof(f1515,plain,
( spl22_41
| ~ spl22_42
| ~ spl22_43 ),
inference(avatar_split_clause,[],[f1478,f1512,f1508,f1504]) ).
fof(f1504,plain,
( spl22_41
<=> sP3(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).
fof(f1508,plain,
( spl22_42
<=> v3_pre_topc(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_42])]) ).
fof(f1512,plain,
( spl22_43
<=> v3_tops_1(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_43])]) ).
fof(f1478,plain,
( ~ v3_tops_1(sK6,sK5)
| ~ v3_pre_topc(sK6,sK5)
| sP3(sK5,sK6) ),
inference(subsumption_resolution,[],[f1477,f217]) ).
fof(f1477,plain,
( ~ v3_tops_1(sK6,sK5)
| ~ v3_pre_topc(sK6,sK5)
| sP3(sK5,sK6)
| ~ v2_pre_topc(sK5) ),
inference(subsumption_resolution,[],[f1447,f218]) ).
fof(f1447,plain,
( ~ v3_tops_1(sK6,sK5)
| ~ v3_pre_topc(sK6,sK5)
| sP3(sK5,sK6)
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5) ),
inference(resolution,[],[f308,f219]) ).
fof(f308,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| sP3(X0,X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(definition_folding,[],[f137,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_tops_1(X1,X0)
& v3_pre_topc(X1,X0) )
=> ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_tops_1) ).
fof(f1502,plain,
( spl22_39
| ~ spl22_40
| ~ spl22_12 ),
inference(avatar_split_clause,[],[f1472,f466,f1499,f1495]) ).
fof(f1495,plain,
( spl22_39
<=> sP3(sK5,u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_39])]) ).
fof(f1499,plain,
( spl22_40
<=> v3_tops_1(u1_struct_0(sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_40])]) ).
fof(f1472,plain,
( ~ v3_tops_1(u1_struct_0(sK5),sK5)
| sP3(sK5,u1_struct_0(sK5))
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f1471,f217]) ).
fof(f1471,plain,
( ~ v3_tops_1(u1_struct_0(sK5),sK5)
| sP3(sK5,u1_struct_0(sK5))
| ~ v2_pre_topc(sK5)
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f1470,f218]) ).
fof(f1470,plain,
( ~ v3_tops_1(u1_struct_0(sK5),sK5)
| sP3(sK5,u1_struct_0(sK5))
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5)
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f1439,f541]) ).
fof(f541,plain,
v3_pre_topc(u1_struct_0(sK5),sK5),
inference(subsumption_resolution,[],[f540,f217]) ).
fof(f540,plain,
( v3_pre_topc(u1_struct_0(sK5),sK5)
| ~ v2_pre_topc(sK5) ),
inference(subsumption_resolution,[],[f536,f218]) ).
fof(f536,plain,
( v3_pre_topc(u1_struct_0(sK5),sK5)
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5) ),
inference(superposition,[],[f292,f445]) ).
fof(f292,plain,
! [X0] :
( v3_pre_topc(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( v4_pre_topc(k2_pre_topc(X0),X0)
& v3_pre_topc(k2_pre_topc(X0),X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( v4_pre_topc(k2_pre_topc(X0),X0)
& v3_pre_topc(k2_pre_topc(X0),X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ( v4_pre_topc(k2_pre_topc(X0),X0)
& v3_pre_topc(k2_pre_topc(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_tops_1) ).
fof(f1439,plain,
( ~ v3_tops_1(u1_struct_0(sK5),sK5)
| ~ v3_pre_topc(u1_struct_0(sK5),sK5)
| sP3(sK5,u1_struct_0(sK5))
| ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5)
| ~ spl22_12 ),
inference(resolution,[],[f308,f468]) ).
fof(f1257,plain,
( spl22_37
| ~ spl22_38
| ~ spl22_23 ),
inference(avatar_split_clause,[],[f1248,f588,f1254,f1250]) ).
fof(f1250,plain,
( spl22_37
<=> v1_tops_1(k1_xboole_0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_37])]) ).
fof(f1254,plain,
( spl22_38
<=> k1_xboole_0 = u1_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_38])]) ).
fof(f588,plain,
( spl22_23
<=> sP4(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_23])]) ).
fof(f1248,plain,
( k1_xboole_0 != u1_struct_0(sK5)
| v1_tops_1(k1_xboole_0,sK5)
| ~ spl22_23 ),
inference(subsumption_resolution,[],[f1247,f218]) ).
fof(f1247,plain,
( k1_xboole_0 != u1_struct_0(sK5)
| v1_tops_1(k1_xboole_0,sK5)
| ~ l1_pre_topc(sK5)
| ~ spl22_23 ),
inference(subsumption_resolution,[],[f1243,f366]) ).
fof(f366,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(forward_demodulation,[],[f331,f360]) ).
fof(f360,plain,
! [X0] : k1_xboole_0 = sK17(X0),
inference(resolution,[],[f256,f332]) ).
fof(f332,plain,
! [X0] : v1_xboole_0(sK17(X0)),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f50,f206]) ).
fof(f206,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f256,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f331,plain,
! [X0] : m1_subset_1(sK17(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f207]) ).
fof(f1243,plain,
( k1_xboole_0 != u1_struct_0(sK5)
| v1_tops_1(k1_xboole_0,sK5)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_pre_topc(sK5)
| ~ spl22_23 ),
inference(superposition,[],[f237,f1155]) ).
fof(f1155,plain,
( k1_xboole_0 = k6_pre_topc(sK5,k1_xboole_0)
| ~ spl22_23 ),
inference(subsumption_resolution,[],[f1153,f218]) ).
fof(f1153,plain,
( k1_xboole_0 = k6_pre_topc(sK5,k1_xboole_0)
| ~ l1_pre_topc(sK5)
| ~ spl22_23 ),
inference(resolution,[],[f1078,f603]) ).
fof(f603,plain,
( v4_pre_topc(k1_xboole_0,sK5)
| ~ spl22_23 ),
inference(subsumption_resolution,[],[f582,f589]) ).
fof(f589,plain,
( sP4(sK5)
| ~ spl22_23 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f582,plain,
( v4_pre_topc(k1_xboole_0,sK5)
| ~ sP4(sK5) ),
inference(superposition,[],[f314,f578]) ).
fof(f578,plain,
k1_xboole_0 = sK12(sK5),
inference(subsumption_resolution,[],[f576,f217]) ).
fof(f576,plain,
( k1_xboole_0 = sK12(sK5)
| ~ v2_pre_topc(sK5) ),
inference(resolution,[],[f368,f218]) ).
fof(f368,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK12(X0)
| ~ v2_pre_topc(X0) ),
inference(resolution,[],[f364,f322]) ).
fof(f322,plain,
! [X0] :
( sP4(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( sP4(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(definition_folding,[],[f141,f172]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_tops_1) ).
fof(f364,plain,
! [X0] :
( ~ sP4(X0)
| k1_xboole_0 = sK12(X0) ),
inference(resolution,[],[f312,f256]) ).
fof(f312,plain,
! [X0] :
( v1_xboole_0(sK12(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ( v3_tops_1(sK12(X0),X0)
& v2_tops_1(sK12(X0),X0)
& v5_membered(sK12(X0))
& v4_membered(sK12(X0))
& v3_membered(sK12(X0))
& v2_membered(sK12(X0))
& v1_membered(sK12(X0))
& v4_pre_topc(sK12(X0),X0)
& v3_pre_topc(sK12(X0),X0)
& v1_xboole_0(sK12(X0))
& m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f195,f196]) ).
fof(f196,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v3_tops_1(sK12(X0),X0)
& v2_tops_1(sK12(X0),X0)
& v5_membered(sK12(X0))
& v4_membered(sK12(X0))
& v3_membered(sK12(X0))
& v2_membered(sK12(X0))
& v1_membered(sK12(X0))
& v4_pre_topc(sK12(X0),X0)
& v3_pre_topc(sK12(X0),X0)
& v1_xboole_0(sK12(X0))
& m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f172]) ).
fof(f314,plain,
! [X0] :
( v4_pre_topc(sK12(X0),X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f1078,plain,
! [X0] :
( ~ v4_pre_topc(k1_xboole_0,X0)
| k1_xboole_0 = k6_pre_topc(X0,k1_xboole_0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f233,f366]) ).
fof(f1125,plain,
( spl22_35
| ~ spl22_36 ),
inference(avatar_split_clause,[],[f1103,f1122,f1118]) ).
fof(f1118,plain,
( spl22_35
<=> sK6 = k6_pre_topc(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_35])]) ).
fof(f1122,plain,
( spl22_36
<=> v4_pre_topc(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_36])]) ).
fof(f1103,plain,
( ~ v4_pre_topc(sK6,sK5)
| sK6 = k6_pre_topc(sK5,sK6) ),
inference(subsumption_resolution,[],[f1079,f218]) ).
fof(f1079,plain,
( ~ v4_pre_topc(sK6,sK5)
| sK6 = k6_pre_topc(sK5,sK6)
| ~ l1_pre_topc(sK5) ),
inference(resolution,[],[f233,f219]) ).
fof(f745,plain,
( spl22_33
| ~ spl22_34 ),
inference(avatar_split_clause,[],[f736,f742,f738]) ).
fof(f738,plain,
( spl22_33
<=> v2_tops_1(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_33])]) ).
fof(f742,plain,
( spl22_34
<=> v1_xboole_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
fof(f736,plain,
( ~ v1_xboole_0(sK6)
| v2_tops_1(sK6,sK5) ),
inference(subsumption_resolution,[],[f722,f218]) ).
fof(f722,plain,
( ~ v1_xboole_0(sK6)
| v2_tops_1(sK6,sK5)
| ~ l1_pre_topc(sK5) ),
inference(resolution,[],[f235,f219]) ).
fof(f235,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v2_tops_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_xboole_0(X1)
=> v2_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_tops_1) ).
fof(f664,plain,
( spl22_31
| ~ spl22_32
| ~ spl22_26 ),
inference(avatar_split_clause,[],[f630,f619,f661,f658]) ).
fof(f658,plain,
( spl22_31
<=> ! [X0] : ~ r2_hidden(X0,u1_struct_0(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_31])]) ).
fof(f661,plain,
( spl22_32
<=> v1_xboole_0(u1_struct_0(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).
fof(f619,plain,
( spl22_26
<=> m1_subset_1(u1_struct_0(sK18),k1_zfmisc_1(u1_struct_0(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_26])]) ).
fof(f630,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(sK18))
| ~ r2_hidden(X0,u1_struct_0(sK18)) )
| ~ spl22_26 ),
inference(resolution,[],[f344,f621]) ).
fof(f621,plain,
( m1_subset_1(u1_struct_0(sK18),k1_zfmisc_1(u1_struct_0(sK18)))
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f654,plain,
( spl22_29
| spl22_30 ),
inference(avatar_split_clause,[],[f634,f652,f649]) ).
fof(f649,plain,
( spl22_29
<=> ! [X1] : ~ r2_hidden(X1,k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_29])]) ).
fof(f652,plain,
( spl22_30
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_30])]) ).
fof(f634,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,k1_xboole_0) ),
inference(resolution,[],[f344,f366]) ).
fof(f647,plain,
( spl22_27
| ~ spl22_28 ),
inference(avatar_split_clause,[],[f635,f644,f641]) ).
fof(f641,plain,
( spl22_27
<=> ! [X0] : ~ r2_hidden(X0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_27])]) ).
fof(f644,plain,
( spl22_28
<=> v1_xboole_0(u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_28])]) ).
fof(f635,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(sK5))
| ~ r2_hidden(X0,sK6) ),
inference(resolution,[],[f344,f219]) ).
fof(f625,plain,
spl22_25,
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f624,plain,
( $false
| spl22_25 ),
inference(subsumption_resolution,[],[f623,f345]) ).
fof(f345,plain,
l1_pre_topc(sK18),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
l1_pre_topc(sK18),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f36,f208]) ).
fof(f208,plain,
( ? [X0] : l1_pre_topc(X0)
=> l1_pre_topc(sK18) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
? [X0] : l1_pre_topc(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(f623,plain,
( ~ l1_pre_topc(sK18)
| spl22_25 ),
inference(resolution,[],[f617,f231]) ).
fof(f617,plain,
( ~ l1_struct_0(sK18)
| spl22_25 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f615,plain,
( spl22_25
<=> l1_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_25])]) ).
fof(f622,plain,
( ~ spl22_25
| spl22_26 ),
inference(avatar_split_clause,[],[f456,f619,f615]) ).
fof(f456,plain,
( m1_subset_1(u1_struct_0(sK18),k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l1_struct_0(sK18) ),
inference(superposition,[],[f248,f446]) ).
fof(f446,plain,
u1_struct_0(sK18) = k2_pre_topc(sK18),
inference(resolution,[],[f405,f345]) ).
fof(f248,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f599,plain,
spl22_23,
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f598,plain,
( $false
| spl22_23 ),
inference(subsumption_resolution,[],[f597,f217]) ).
fof(f597,plain,
( ~ v2_pre_topc(sK5)
| spl22_23 ),
inference(subsumption_resolution,[],[f596,f218]) ).
fof(f596,plain,
( ~ l1_pre_topc(sK5)
| ~ v2_pre_topc(sK5)
| spl22_23 ),
inference(resolution,[],[f590,f322]) ).
fof(f590,plain,
( ~ sP4(sK5)
| spl22_23 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f595,plain,
( ~ spl22_23
| spl22_24 ),
inference(avatar_split_clause,[],[f581,f592,f588]) ).
fof(f592,plain,
( spl22_24
<=> v3_pre_topc(k1_xboole_0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_24])]) ).
fof(f581,plain,
( v3_pre_topc(k1_xboole_0,sK5)
| ~ sP4(sK5) ),
inference(superposition,[],[f313,f578]) ).
fof(f313,plain,
! [X0] :
( v3_pre_topc(sK12(X0),X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f551,plain,
( ~ spl22_21
| spl22_22 ),
inference(avatar_split_clause,[],[f499,f548,f544]) ).
fof(f544,plain,
( spl22_21
<=> v2_pre_topc(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_21])]) ).
fof(f548,plain,
( spl22_22
<=> v4_pre_topc(u1_struct_0(sK18),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_22])]) ).
fof(f499,plain,
( v4_pre_topc(u1_struct_0(sK18),sK18)
| ~ v2_pre_topc(sK18) ),
inference(subsumption_resolution,[],[f494,f345]) ).
fof(f494,plain,
( v4_pre_topc(u1_struct_0(sK18),sK18)
| ~ l1_pre_topc(sK18)
| ~ v2_pre_topc(sK18) ),
inference(superposition,[],[f291,f446]) ).
fof(f535,plain,
( ~ spl22_19
| spl22_20 ),
inference(avatar_split_clause,[],[f476,f532,f528]) ).
fof(f528,plain,
( spl22_19
<=> v5_membered(u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_19])]) ).
fof(f532,plain,
( spl22_20
<=> sP1(u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_20])]) ).
fof(f476,plain,
( sP1(u1_struct_0(sK21))
| ~ v5_membered(u1_struct_0(sK21)) ),
inference(resolution,[],[f255,f460]) ).
fof(f460,plain,
m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21))),
inference(subsumption_resolution,[],[f458,f353]) ).
fof(f353,plain,
l1_struct_0(sK21),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ~ v3_struct_0(sK21)
& l1_struct_0(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f52,f214]) ).
fof(f214,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK21)
& l1_struct_0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f52,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f458,plain,
( m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ l1_struct_0(sK21) ),
inference(superposition,[],[f248,f404]) ).
fof(f404,plain,
u1_struct_0(sK21) = k2_pre_topc(sK21),
inference(resolution,[],[f247,f353]) ).
fof(f255,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sP1(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f102,f166]) ).
fof(f166,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc20_membered) ).
fof(f526,plain,
( ~ spl22_17
| spl22_18 ),
inference(avatar_split_clause,[],[f475,f523,f519]) ).
fof(f519,plain,
( spl22_17
<=> v5_membered(u1_struct_0(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
fof(f523,plain,
( spl22_18
<=> sP1(u1_struct_0(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
fof(f475,plain,
( sP1(u1_struct_0(sK19))
| ~ v5_membered(u1_struct_0(sK19)) ),
inference(resolution,[],[f255,f459]) ).
fof(f459,plain,
m1_subset_1(u1_struct_0(sK19),k1_zfmisc_1(u1_struct_0(sK19))),
inference(subsumption_resolution,[],[f457,f346]) ).
fof(f346,plain,
l1_struct_0(sK19),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
l1_struct_0(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f37,f210]) ).
fof(f210,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK19) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f457,plain,
( m1_subset_1(u1_struct_0(sK19),k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_struct_0(sK19) ),
inference(superposition,[],[f248,f403]) ).
fof(f403,plain,
u1_struct_0(sK19) = k2_pre_topc(sK19),
inference(resolution,[],[f247,f346]) ).
fof(f515,plain,
~ spl22_15,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| ~ spl22_15 ),
inference(resolution,[],[f502,f227]) ).
fof(f227,plain,
v5_membered(k1_xboole_0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(f502,plain,
( ! [X0] : ~ v5_membered(X0)
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl22_15
<=> ! [X0] : ~ v5_membered(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f514,plain,
~ spl22_15,
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f511,plain,
( $false
| ~ spl22_15 ),
inference(resolution,[],[f502,f357]) ).
fof(f357,plain,
! [X0] : v5_membered(sK17(X0)),
inference(resolution,[],[f355,f332]) ).
fof(f355,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v5_membered(X0) ),
inference(resolution,[],[f262,f261]) ).
fof(f261,plain,
! [X0] :
( ~ sP2(X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f262,plain,
! [X0] :
( sP2(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( sP2(X0)
| ~ v1_xboole_0(X0) ),
inference(definition_folding,[],[f104,f168]) ).
fof(f104,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc15_membered) ).
fof(f513,plain,
~ spl22_15,
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f512,plain,
( $false
| ~ spl22_15 ),
inference(resolution,[],[f502,f352]) ).
fof(f352,plain,
v5_membered(sK20),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( v5_membered(sK20)
& v4_membered(sK20)
& v3_membered(sK20)
& v2_membered(sK20)
& v1_membered(sK20)
& ~ v1_xboole_0(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f47,f212]) ).
fof(f212,plain,
( ? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) )
=> ( v5_membered(sK20)
& v4_membered(sK20)
& v3_membered(sK20)
& v2_membered(sK20)
& v1_membered(sK20)
& ~ v1_xboole_0(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_membered) ).
fof(f507,plain,
( spl22_15
| spl22_16 ),
inference(avatar_split_clause,[],[f479,f504,f501]) ).
fof(f504,plain,
( spl22_16
<=> sP1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
fof(f479,plain,
! [X0] :
( sP1(k1_xboole_0)
| ~ v5_membered(X0) ),
inference(resolution,[],[f255,f366]) ).
fof(f492,plain,
( ~ spl22_13
| spl22_14 ),
inference(avatar_split_clause,[],[f480,f489,f485]) ).
fof(f485,plain,
( spl22_13
<=> v5_membered(u1_struct_0(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f489,plain,
( spl22_14
<=> sP1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f480,plain,
( sP1(sK6)
| ~ v5_membered(u1_struct_0(sK5)) ),
inference(resolution,[],[f255,f219]) ).
fof(f472,plain,
spl22_11,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| spl22_11 ),
inference(subsumption_resolution,[],[f470,f218]) ).
fof(f470,plain,
( ~ l1_pre_topc(sK5)
| spl22_11 ),
inference(resolution,[],[f464,f231]) ).
fof(f464,plain,
( ~ l1_struct_0(sK5)
| spl22_11 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl22_11
<=> l1_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
fof(f469,plain,
( ~ spl22_11
| spl22_12 ),
inference(avatar_split_clause,[],[f455,f466,f462]) ).
fof(f455,plain,
( m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK5)))
| ~ l1_struct_0(sK5) ),
inference(superposition,[],[f248,f445]) ).
fof(f439,plain,
( spl22_9
| ~ spl22_10 ),
inference(avatar_split_clause,[],[f428,f436,f432]) ).
fof(f432,plain,
( spl22_9
<=> v3_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f436,plain,
( spl22_10
<=> v1_xboole_0(u1_struct_0(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
fof(f428,plain,
( ~ v1_xboole_0(u1_struct_0(sK19))
| v3_struct_0(sK19) ),
inference(subsumption_resolution,[],[f426,f346]) ).
fof(f426,plain,
( ~ v1_xboole_0(u1_struct_0(sK19))
| ~ l1_struct_0(sK19)
| v3_struct_0(sK19) ),
inference(superposition,[],[f287,f403]) ).
fof(f287,plain,
! [X0] :
( ~ v1_xboole_0(k2_pre_topc(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ v1_xboole_0(k2_pre_topc(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ v1_xboole_0(k2_pre_topc(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k2_pre_topc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f425,plain,
( ~ spl22_7
| spl22_8 ),
inference(avatar_split_clause,[],[f407,f422,f418]) ).
fof(f418,plain,
( spl22_7
<=> l1_pre_topc(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f422,plain,
( spl22_8
<=> v1_tops_1(u1_struct_0(sK21),sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f407,plain,
( v1_tops_1(u1_struct_0(sK21),sK21)
| ~ l1_pre_topc(sK21) ),
inference(superposition,[],[f232,f404]) ).
fof(f232,plain,
! [X0] :
( v1_tops_1(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( v1_tops_1(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( l1_pre_topc(X0)
=> v1_tops_1(k2_pre_topc(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_tops_1) ).
fof(f416,plain,
( ~ spl22_5
| spl22_6 ),
inference(avatar_split_clause,[],[f406,f413,f409]) ).
fof(f409,plain,
( spl22_5
<=> l1_pre_topc(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f413,plain,
( spl22_6
<=> v1_tops_1(u1_struct_0(sK19),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f406,plain,
( v1_tops_1(u1_struct_0(sK19),sK19)
| ~ l1_pre_topc(sK19) ),
inference(superposition,[],[f232,f403]) ).
fof(f401,plain,
spl22_3,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| spl22_3 ),
inference(subsumption_resolution,[],[f399,f345]) ).
fof(f399,plain,
( ~ l1_pre_topc(sK18)
| spl22_3 ),
inference(resolution,[],[f393,f246]) ).
fof(f246,plain,
! [X0] :
( sP0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( sP0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f98,f164]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_tops_1) ).
fof(f393,plain,
( ~ sP0(sK18)
| spl22_3 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl22_3
<=> sP0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f398,plain,
( ~ spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f387,f395,f391]) ).
fof(f395,plain,
( spl22_4
<=> v2_tops_1(k1_xboole_0,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f387,plain,
( v2_tops_1(k1_xboole_0,sK18)
| ~ sP0(sK18) ),
inference(superposition,[],[f245,f370]) ).
fof(f370,plain,
k1_xboole_0 = sK8(sK18),
inference(resolution,[],[f367,f345]) ).
fof(f367,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK8(X0) ),
inference(resolution,[],[f361,f246]) ).
fof(f361,plain,
! [X0] :
( ~ sP0(X0)
| k1_xboole_0 = sK8(X0) ),
inference(resolution,[],[f256,f239]) ).
fof(f239,plain,
! [X0] :
( v1_xboole_0(sK8(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ( v2_tops_1(sK8(X0),X0)
& v5_membered(sK8(X0))
& v4_membered(sK8(X0))
& v3_membered(sK8(X0))
& v2_membered(sK8(X0))
& v1_membered(sK8(X0))
& v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f180,f181]) ).
fof(f181,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v2_tops_1(sK8(X0),X0)
& v5_membered(sK8(X0))
& v4_membered(sK8(X0))
& v3_membered(sK8(X0))
& v2_membered(sK8(X0))
& v1_membered(sK8(X0))
& v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f164]) ).
fof(f245,plain,
! [X0] :
( v2_tops_1(sK8(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f385,plain,
spl22_1,
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| spl22_1 ),
inference(subsumption_resolution,[],[f383,f218]) ).
fof(f383,plain,
( ~ l1_pre_topc(sK5)
| spl22_1 ),
inference(resolution,[],[f377,f246]) ).
fof(f377,plain,
( ~ sP0(sK5)
| spl22_1 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f375,plain,
( spl22_1
<=> sP0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f382,plain,
( ~ spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f371,f379,f375]) ).
fof(f379,plain,
( spl22_2
<=> v2_tops_1(k1_xboole_0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f371,plain,
( v2_tops_1(k1_xboole_0,sK5)
| ~ sP0(sK5) ),
inference(superposition,[],[f245,f369]) ).
fof(f369,plain,
k1_xboole_0 = sK8(sK5),
inference(resolution,[],[f367,f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : TOP024+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 01:52:17 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (23105)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (23108)WARNING: value z3 for option sas not known
% 0.14/0.38 % (23109)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (23106)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (23107)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (23110)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (23111)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (23112)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (23108)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.41 TRYING [1]
% 0.14/0.41 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 TRYING [4]
% 0.14/0.42 TRYING [5]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 % (23108)First to succeed.
% 0.21/0.44 % (23108)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (23108)------------------------------
% 0.21/0.44 % (23108)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.44 % (23108)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (23108)Memory used [KB]: 1508
% 0.21/0.44 % (23108)Time elapsed: 0.057 s
% 0.21/0.44 % (23108)Instructions burned: 92 (million)
% 0.21/0.44 % (23108)------------------------------
% 0.21/0.44 % (23108)------------------------------
% 0.21/0.44 % (23105)Success in time 0.075 s
%------------------------------------------------------------------------------