%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG218+4 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:23 AM UTC 2026
% Result : Theorem 65.44s 19.08s
% Output : Refutation 129.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 59
% Syntax : Number of formulae : 293 ( 104 unt; 42 def)
% Number of atoms : 1104 ( 146 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 1370 ( 559 ~; 566 |; 177 &)
% ( 45 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 62 ( 60 usr; 37 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 180 ( 0 sgn 169 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f72,axiom,
! [X0] :
( r1_tarski(X0,k1_xboole_0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f438,axiom,
! [X0,X1] :
( k2_zfmisc_1(X0,X1) = k1_xboole_0
<=> ( X0 = k1_xboole_0
| X1 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_zfmisc_1) ).
fof(f455,axiom,
! [X0,X1] :
( X0 != k1_xboole_0
=> ( k2_zfmisc_1(k1_tarski(X1),X0) != k1_xboole_0
& k2_zfmisc_1(X0,k1_tarski(X1)) != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t130_zfmisc_1) ).
fof(f1727,axiom,
! [X0] :
~ ( X0 != k1_xboole_0
& ! [X1] :
~ ( r2_hidden(X1,X0)
& ! [X2] :
( r2_hidden(X2,X1)
=> r1_xboole_0(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_mcart_1) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f17604,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f18730,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f18736,axiom,
! [X0] :
( l2_struct_0(X0)
=> m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rlvect_1) ).
fof(f19160,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f20304,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k7_rlvect_2(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_rlvect_2) ).
fof(f21476,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_vectsp_2(X1,X0)
=> l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(f24243,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
<=> X0 = k1_rlvect_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_rmod_2) ).
fof(f24510,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r2_hidden(X0,X3)
=> r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_rmod_5) ).
fof(f24512,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( k1_rmod_5(X0,X1,X2) = k1_rmod_2(X0,X1)
& X2 != k1_xboole_0
& X2 != k7_rlvect_2(X1,k1_rlvect_1(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_rmod_5) ).
fof(f24513,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( k1_rmod_5(X0,X1,X2) = k1_rmod_2(X0,X1)
& X2 != k1_xboole_0
& X2 != k7_rlvect_2(X1,k1_rlvect_1(X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f24512]) ).
fof(f24673,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rmod_5(X0,X1,X2) = k1_rmod_2(X0,X1)
& X2 != k1_xboole_0
& X2 != k7_rlvect_2(X1,k1_rlvect_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24513]) ).
fof(f24674,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rmod_5(X0,X1,X2) = k1_rmod_2(X0,X1)
& X2 != k1_xboole_0
& X2 != k7_rlvect_2(X1,k1_rlvect_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f24673]) ).
fof(f24714,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f24757,plain,
! [X0,X1] :
( k7_rlvect_2(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f20304]) ).
fof(f24758,plain,
! [X0,X1] :
( k7_rlvect_2(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f24757]) ).
fof(f24791,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
<=> X0 = k1_rlvect_1(X2) )
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(ennf_transformation,[],[f24243]) ).
fof(f24792,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
<=> X0 = k1_rlvect_1(X2) )
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(flattening,[],[f24791]) ).
fof(f24797,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(ennf_transformation,[],[f24510]) ).
fof(f24798,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(flattening,[],[f24797]) ).
fof(f24940,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f24993,plain,
! [X0] :
( ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f19160]) ).
fof(f25357,plain,
! [X0,X1] :
( ( k2_zfmisc_1(k1_tarski(X1),X0) != k1_xboole_0
& k2_zfmisc_1(X0,k1_tarski(X1)) != k1_xboole_0 )
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f455]) ).
fof(f25370,plain,
! [X0] :
( ! [X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f21476]) ).
fof(f25862,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f18736]) ).
fof(f25863,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f18730]) ).
fof(f25866,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f17604]) ).
fof(f26316,plain,
! [X0] :
( k1_xboole_0 = X0
| ? [X1] :
( r2_hidden(X1,X0)
& ! [X2] :
( r1_xboole_0(X2,X0)
| ~ r2_hidden(X2,X1) ) ) ),
inference(ennf_transformation,[],[f1727]) ).
fof(f28198,plain,
( k1_rmod_2(sK145,sK146) = k1_rmod_5(sK145,sK146,sK147)
& k1_xboole_0 != sK147
& sK147 != k7_rlvect_2(sK146,k1_rlvect_1(sK146))
& m1_subset_1(sK147,k1_zfmisc_1(u1_struct_0(sK146)))
& ~ v3_struct_0(sK146)
& v3_rlvect_1(sK146)
& v4_rlvect_1(sK146)
& v5_rlvect_1(sK146)
& v6_rlvect_1(sK146)
& v5_vectsp_2(sK146,sK145)
& l1_vectsp_2(sK146,sK145)
& ~ v3_struct_0(sK145)
& v3_rlvect_1(sK145)
& v4_rlvect_1(sK145)
& v5_rlvect_1(sK145)
& v6_rlvect_1(sK145)
& v4_group_1(sK145)
& v7_group_1(sK145)
& v6_vectsp_1(sK145)
& v7_vectsp_1(sK145)
& v8_vectsp_1(sK145)
& ~ v10_vectsp_1(sK145)
& v2_vectsp_2(sK145)
& l3_vectsp_1(sK145) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK145,sK146,sK147]),skolemize(X0,sK145),skolemize(X1,sK146),skolemize(X2,sK147)],[f24674]) ).
fof(f28206,plain,
! [X0,X1] :
( ( k2_zfmisc_1(X0,X1) = k1_xboole_0
| ( k1_xboole_0 != X0
& k1_xboole_0 != X1 ) )
& ( X0 = k1_xboole_0
| X1 = k1_xboole_0
| k1_xboole_0 != k2_zfmisc_1(X0,X1) ) ),
inference(nnf_transformation,[],[f438]) ).
fof(f28207,plain,
! [X0,X1] :
( ( k2_zfmisc_1(X0,X1) = k1_xboole_0
| ( k1_xboole_0 != X0
& k1_xboole_0 != X1 ) )
& ( X0 = k1_xboole_0
| X1 = k1_xboole_0
| k1_xboole_0 != k2_zfmisc_1(X0,X1) ) ),
inference(flattening,[],[f28206]) ).
fof(f28238,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
| k1_rlvect_1(X2) != X0 )
& ( X0 = k1_rlvect_1(X2)
| ~ r1_rlvect_1(k1_rmod_2(X1,X2),X0) ) )
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(nnf_transformation,[],[f24792]) ).
fof(f28320,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f28321,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f28320]) ).
fof(f28322,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f24940]) ).
fof(f28323,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f28322]) ).
fof(f28324,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK220(X0,X1),X1)
& r2_hidden(sK220(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK220]),skolemize(X2,sK220(X0,X1))],[f28323]) ).
fof(f28596,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f28597,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f28596]) ).
fof(f28598,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK415(X0,X1) != X0
| ~ r2_hidden(sK415(X0,X1),X1) )
& ( sK415(X0,X1) = X0
| r2_hidden(sK415(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK415]),skolemize(X2,sK415(X0,X1))],[f28597]) ).
fof(f29073,plain,
! [X0] :
( k1_xboole_0 = X0
| ( r2_hidden(sK760(X0),X0)
& ! [X2] :
( r1_xboole_0(X2,X0)
| ~ r2_hidden(X2,sK760(X0)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK760]),skolemize(X1,sK760(X0))],[f26316]) ).
fof(f29563,plain,
l3_vectsp_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29564,plain,
v2_vectsp_2(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29565,plain,
~ v10_vectsp_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29566,plain,
v8_vectsp_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29567,plain,
v7_vectsp_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29568,plain,
v6_vectsp_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29569,plain,
v7_group_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29570,plain,
v4_group_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29571,plain,
v6_rlvect_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29572,plain,
v5_rlvect_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29573,plain,
v4_rlvect_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29574,plain,
v3_rlvect_1(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29575,plain,
~ v3_struct_0(sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29576,plain,
l1_vectsp_2(sK146,sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29577,plain,
v5_vectsp_2(sK146,sK145),
inference(cnf_transformation,[],[f28198]) ).
fof(f29578,plain,
v6_rlvect_1(sK146),
inference(cnf_transformation,[],[f28198]) ).
fof(f29579,plain,
v5_rlvect_1(sK146),
inference(cnf_transformation,[],[f28198]) ).
fof(f29580,plain,
v4_rlvect_1(sK146),
inference(cnf_transformation,[],[f28198]) ).
fof(f29581,plain,
v3_rlvect_1(sK146),
inference(cnf_transformation,[],[f28198]) ).
fof(f29582,plain,
~ v3_struct_0(sK146),
inference(cnf_transformation,[],[f28198]) ).
fof(f29583,plain,
m1_subset_1(sK147,k1_zfmisc_1(u1_struct_0(sK146))),
inference(cnf_transformation,[],[f28198]) ).
fof(f29584,plain,
sK147 != k7_rlvect_2(sK146,k1_rlvect_1(sK146)),
inference(cnf_transformation,[],[f28198]) ).
fof(f29585,plain,
k1_xboole_0 != sK147,
inference(cnf_transformation,[],[f28198]) ).
fof(f29586,plain,
k1_rmod_2(sK145,sK146) = k1_rmod_5(sK145,sK146,sK147),
inference(cnf_transformation,[],[f28198]) ).
fof(f29596,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f29650,plain,
! [X0,X1] :
( k1_xboole_0 = k2_zfmisc_1(X0,X1)
| k1_xboole_0 != X1 ),
inference(cnf_transformation,[],[f28207]) ).
fof(f29652,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f24714]) ).
fof(f29740,plain,
! [X0,X1] :
( k1_tarski(X1) = k7_rlvect_2(X0,X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f24758]) ).
fof(f29763,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(k1_rmod_2(X1,X2),X0)
| k1_rlvect_1(X2) = X0
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(cnf_transformation,[],[f28238]) ).
fof(f29768,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
| ~ r2_hidden(X0,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(cnf_transformation,[],[f24798]) ).
fof(f30020,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| X0 = X1
| ~ r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f28321]) ).
fof(f30023,plain,
! [X0,X1] :
( r2_hidden(sK220(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f28324]) ).
fof(f30024,plain,
! [X0,X1] :
( ~ r2_hidden(sK220(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f28324]) ).
fof(f30184,plain,
! [X0] :
( l1_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f24993]) ).
fof(f30916,plain,
! [X0,X1] :
( k1_xboole_0 != k2_zfmisc_1(X0,k1_tarski(X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f25357]) ).
fof(f30939,plain,
! [X3,X0,X1] :
( k1_tarski(X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f28598]) ).
fof(f30963,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1) ),
inference(cnf_transformation,[],[f25370]) ).
fof(f31800,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f25862]) ).
fof(f31801,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f25863]) ).
fof(f31805,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f25866]) ).
fof(f32460,plain,
! [X0] :
( k1_xboole_0 = X0
| r2_hidden(sK760(X0),X0) ),
inference(cnf_transformation,[],[f29073]) ).
fof(f34515,plain,
np__0 != sK147,
inference(definition_unfolding,[],[f29585,f29596]) ).
fof(f34569,plain,
! [X0,X1] :
( np__0 != X1
| k2_zfmisc_1(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f29650,f29596,f29596]) ).
fof(f34571,plain,
! [X0] :
( ~ r1_tarski(X0,np__0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f29652,f29596,f29596]) ).
fof(f34629,plain,
! [X0,X1] :
( k2_zfmisc_1(X0,k1_tarski(X1)) != np__0
| np__0 = X0 ),
inference(definition_unfolding,[],[f30916,f29596,f29596]) ).
fof(f34747,plain,
! [X0] :
( r2_hidden(sK760(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f32460,f29596]) ).
fof(f34942,definition,
sF1051 = k1_rmod_2(sK145,sK146),
introduced(definition,[new_symbols(definition,[sF1051])],[function_definition]) ).
fof(f34943,plain,
k1_rmod_2(sK145,sK146) = sF1051,
inference(reorient_equations,[],[f34942]) ).
fof(f34944,definition,
sF1052 = k1_rmod_5(sK145,sK146,sK147),
introduced(definition,[new_symbols(definition,[sF1052])],[function_definition]) ).
fof(f34945,plain,
k1_rmod_5(sK145,sK146,sK147) = sF1052,
inference(reorient_equations,[],[f34944]) ).
fof(f34946,plain,
sF1051 = sF1052,
inference(definition_folding,[],[f29586,f34945,f34943]) ).
fof(f34947,definition,
sF1053 = k1_rlvect_1(sK146),
introduced(definition,[new_symbols(definition,[sF1053])],[function_definition]) ).
fof(f34948,plain,
k1_rlvect_1(sK146) = sF1053,
inference(reorient_equations,[],[f34947]) ).
fof(f34949,definition,
sF1054 = k7_rlvect_2(sK146,sF1053),
introduced(definition,[new_symbols(definition,[sF1054])],[function_definition]) ).
fof(f34950,plain,
k7_rlvect_2(sK146,sF1053) = sF1054,
inference(reorient_equations,[],[f34949]) ).
fof(f34951,plain,
sK147 != sF1054,
inference(definition_folding,[],[f29584,f34950,f34948]) ).
fof(f34952,definition,
sF1055 = u1_struct_0(sK146),
introduced(definition,[new_symbols(definition,[sF1055])],[function_definition]) ).
fof(f34953,plain,
u1_struct_0(sK146) = sF1055,
inference(reorient_equations,[],[f34952]) ).
fof(f34954,definition,
sF1056 = k1_zfmisc_1(sF1055),
introduced(definition,[new_symbols(definition,[sF1056])],[function_definition]) ).
fof(f34955,plain,
k1_zfmisc_1(sF1055) = sF1056,
inference(reorient_equations,[],[f34954]) ).
fof(f34956,plain,
m1_subset_1(sK147,sF1056),
inference(definition_folding,[],[f29583,f34955,f34953]) ).
fof(f34992,definition,
( spl1057_3
<=> l1_vectsp_2(sK146,sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_3])],[avatar_definition]) ).
fof(f34993,plain,
( l1_vectsp_2(sK146,sK145)
| ~ spl1057_3 ),
inference(avatar_component_clause,[],[f34992]) ).
fof(f34996,definition,
( spl1057_4
<=> v5_vectsp_2(sK146,sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_4])],[avatar_definition]) ).
fof(f35000,definition,
( spl1057_5
<=> v6_rlvect_1(sK146) ),
introduced(definition,[new_symbols(definition,[spl1057_5])],[avatar_definition]) ).
fof(f35004,definition,
( spl1057_6
<=> v5_rlvect_1(sK146) ),
introduced(definition,[new_symbols(definition,[spl1057_6])],[avatar_definition]) ).
fof(f35008,definition,
( spl1057_7
<=> v4_rlvect_1(sK146) ),
introduced(definition,[new_symbols(definition,[spl1057_7])],[avatar_definition]) ).
fof(f35012,definition,
( spl1057_8
<=> v3_rlvect_1(sK146) ),
introduced(definition,[new_symbols(definition,[spl1057_8])],[avatar_definition]) ).
fof(f35016,definition,
( spl1057_9
<=> v3_struct_0(sK146) ),
introduced(definition,[new_symbols(definition,[spl1057_9])],[avatar_definition]) ).
fof(f35020,definition,
( spl1057_10
<=> l3_vectsp_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_10])],[avatar_definition]) ).
fof(f35021,plain,
( l3_vectsp_1(sK145)
| ~ spl1057_10 ),
inference(avatar_component_clause,[],[f35020]) ).
fof(f35024,definition,
( spl1057_11
<=> v2_vectsp_2(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_11])],[avatar_definition]) ).
fof(f35028,definition,
( spl1057_12
<=> v10_vectsp_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_12])],[avatar_definition]) ).
fof(f35032,definition,
( spl1057_13
<=> v8_vectsp_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_13])],[avatar_definition]) ).
fof(f35036,definition,
( spl1057_14
<=> v7_vectsp_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_14])],[avatar_definition]) ).
fof(f35040,definition,
( spl1057_15
<=> v6_vectsp_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_15])],[avatar_definition]) ).
fof(f35044,definition,
( spl1057_16
<=> v7_group_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_16])],[avatar_definition]) ).
fof(f35048,definition,
( spl1057_17
<=> v4_group_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_17])],[avatar_definition]) ).
fof(f35052,definition,
( spl1057_18
<=> v6_rlvect_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_18])],[avatar_definition]) ).
fof(f35056,definition,
( spl1057_19
<=> v5_rlvect_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_19])],[avatar_definition]) ).
fof(f35060,definition,
( spl1057_20
<=> v4_rlvect_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_20])],[avatar_definition]) ).
fof(f35064,definition,
( spl1057_21
<=> v3_rlvect_1(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_21])],[avatar_definition]) ).
fof(f35068,definition,
( spl1057_22
<=> v3_struct_0(sK145) ),
introduced(definition,[new_symbols(definition,[spl1057_22])],[avatar_definition]) ).
fof(f35076,definition,
( spl1057_24
<=> m1_subset_1(sK147,sF1056) ),
introduced(definition,[new_symbols(definition,[spl1057_24])],[avatar_definition]) ).
fof(f35085,definition,
( spl1057_25
<=> l1_struct_0(sK146) ),
introduced(definition,[new_symbols(definition,[spl1057_25])],[avatar_definition]) ).
fof(f35087,plain,
( ~ l1_struct_0(sK146)
| spl1057_25 ),
inference(avatar_component_clause,[],[f35085]) ).
fof(f35099,definition,
( spl1057_28
<=> m1_subset_1(sF1053,sF1055) ),
introduced(definition,[new_symbols(definition,[spl1057_28])],[avatar_definition]) ).
fof(f35103,plain,
! [X0] :
( ~ r1_rlvect_1(sF1051,X0)
| k1_rlvect_1(sK146) = X0
| v3_struct_0(sK146)
| ~ v3_rlvect_1(sK146)
| ~ v4_rlvect_1(sK146)
| ~ v5_rlvect_1(sK146)
| ~ v6_rlvect_1(sK146)
| ~ v5_vectsp_2(sK146,sK145)
| ~ l1_vectsp_2(sK146,sK145)
| v3_struct_0(sK145)
| ~ v3_rlvect_1(sK145)
| ~ v4_rlvect_1(sK145)
| ~ v5_rlvect_1(sK145)
| ~ v6_rlvect_1(sK145)
| ~ v4_group_1(sK145)
| ~ v6_vectsp_1(sK145)
| ~ v7_vectsp_1(sK145)
| ~ v8_vectsp_1(sK145)
| ~ l3_vectsp_1(sK145) ),
inference(superposition,[],[f29763,f34943]) ).
fof(f35104,plain,
! [X0] :
( sF1053 = X0
| ~ r1_rlvect_1(sF1051,X0)
| v3_struct_0(sK146)
| ~ v3_rlvect_1(sK146)
| ~ v4_rlvect_1(sK146)
| ~ v5_rlvect_1(sK146)
| ~ v6_rlvect_1(sK146)
| ~ v5_vectsp_2(sK146,sK145)
| ~ l1_vectsp_2(sK146,sK145)
| v3_struct_0(sK145)
| ~ v3_rlvect_1(sK145)
| ~ v4_rlvect_1(sK145)
| ~ v5_rlvect_1(sK145)
| ~ v6_rlvect_1(sK145)
| ~ v4_group_1(sK145)
| ~ v6_vectsp_1(sK145)
| ~ v7_vectsp_1(sK145)
| ~ v8_vectsp_1(sK145)
| ~ l3_vectsp_1(sK145) ),
inference(forward_demodulation,[],[f35103,f34948]) ).
fof(f35106,definition,
( spl1057_29
<=> ! [X0] :
( sF1053 = X0
| ~ r1_rlvect_1(sF1051,X0) ) ),
introduced(definition,[new_symbols(definition,[spl1057_29])],[avatar_definition]) ).
fof(f35107,plain,
( ! [X0] :
( ~ r1_rlvect_1(sF1051,X0)
| sF1053 = X0 )
| ~ spl1057_29 ),
inference(avatar_component_clause,[],[f35106]) ).
fof(f35108,plain,
( ~ spl1057_10
| ~ spl1057_13
| ~ spl1057_14
| ~ spl1057_15
| ~ spl1057_17
| ~ spl1057_18
| ~ spl1057_19
| ~ spl1057_20
| ~ spl1057_21
| spl1057_22
| ~ spl1057_3
| ~ spl1057_4
| ~ spl1057_5
| ~ spl1057_6
| ~ spl1057_7
| ~ spl1057_8
| spl1057_9
| spl1057_29 ),
inference(avatar_split_clause,[],[f35104,f35106,f35016,f35012,f35008,f35004,f35000,f34996,f34992,f35068,f35064,f35060,f35056,f35052,f35048,f35040,f35036,f35032,f35020]) ).
fof(f35109,plain,
! [X0] :
( r1_rlvect_1(sF1052,X0)
| ~ r2_hidden(X0,sK147)
| ~ m1_subset_1(sK147,k1_zfmisc_1(u1_struct_0(sK146)))
| v3_struct_0(sK146)
| ~ v3_rlvect_1(sK146)
| ~ v4_rlvect_1(sK146)
| ~ v5_rlvect_1(sK146)
| ~ v6_rlvect_1(sK146)
| ~ v5_vectsp_2(sK146,sK145)
| ~ l1_vectsp_2(sK146,sK145)
| v3_struct_0(sK145)
| ~ v3_rlvect_1(sK145)
| ~ v4_rlvect_1(sK145)
| ~ v5_rlvect_1(sK145)
| ~ v6_rlvect_1(sK145)
| ~ v4_group_1(sK145)
| ~ v7_group_1(sK145)
| ~ v6_vectsp_1(sK145)
| ~ v7_vectsp_1(sK145)
| ~ v8_vectsp_1(sK145)
| v10_vectsp_1(sK145)
| ~ v2_vectsp_2(sK145)
| ~ l3_vectsp_1(sK145) ),
inference(superposition,[],[f29768,f34945]) ).
fof(f35110,plain,
! [X0] :
( r1_rlvect_1(sF1051,X0)
| ~ r2_hidden(X0,sK147)
| ~ m1_subset_1(sK147,k1_zfmisc_1(u1_struct_0(sK146)))
| v3_struct_0(sK146)
| ~ v3_rlvect_1(sK146)
| ~ v4_rlvect_1(sK146)
| ~ v5_rlvect_1(sK146)
| ~ v6_rlvect_1(sK146)
| ~ v5_vectsp_2(sK146,sK145)
| ~ l1_vectsp_2(sK146,sK145)
| v3_struct_0(sK145)
| ~ v3_rlvect_1(sK145)
| ~ v4_rlvect_1(sK145)
| ~ v5_rlvect_1(sK145)
| ~ v6_rlvect_1(sK145)
| ~ v4_group_1(sK145)
| ~ v7_group_1(sK145)
| ~ v6_vectsp_1(sK145)
| ~ v7_vectsp_1(sK145)
| ~ v8_vectsp_1(sK145)
| v10_vectsp_1(sK145)
| ~ v2_vectsp_2(sK145)
| ~ l3_vectsp_1(sK145) ),
inference(forward_demodulation,[],[f35109,f34946]) ).
fof(f35111,plain,
! [X0] :
( ~ m1_subset_1(sK147,k1_zfmisc_1(sF1055))
| r1_rlvect_1(sF1051,X0)
| ~ r2_hidden(X0,sK147)
| v3_struct_0(sK146)
| ~ v3_rlvect_1(sK146)
| ~ v4_rlvect_1(sK146)
| ~ v5_rlvect_1(sK146)
| ~ v6_rlvect_1(sK146)
| ~ v5_vectsp_2(sK146,sK145)
| ~ l1_vectsp_2(sK146,sK145)
| v3_struct_0(sK145)
| ~ v3_rlvect_1(sK145)
| ~ v4_rlvect_1(sK145)
| ~ v5_rlvect_1(sK145)
| ~ v6_rlvect_1(sK145)
| ~ v4_group_1(sK145)
| ~ v7_group_1(sK145)
| ~ v6_vectsp_1(sK145)
| ~ v7_vectsp_1(sK145)
| ~ v8_vectsp_1(sK145)
| v10_vectsp_1(sK145)
| ~ v2_vectsp_2(sK145)
| ~ l3_vectsp_1(sK145) ),
inference(forward_demodulation,[],[f35110,f34953]) ).
fof(f35112,plain,
! [X0] :
( ~ m1_subset_1(sK147,sF1056)
| r1_rlvect_1(sF1051,X0)
| ~ r2_hidden(X0,sK147)
| v3_struct_0(sK146)
| ~ v3_rlvect_1(sK146)
| ~ v4_rlvect_1(sK146)
| ~ v5_rlvect_1(sK146)
| ~ v6_rlvect_1(sK146)
| ~ v5_vectsp_2(sK146,sK145)
| ~ l1_vectsp_2(sK146,sK145)
| v3_struct_0(sK145)
| ~ v3_rlvect_1(sK145)
| ~ v4_rlvect_1(sK145)
| ~ v5_rlvect_1(sK145)
| ~ v6_rlvect_1(sK145)
| ~ v4_group_1(sK145)
| ~ v7_group_1(sK145)
| ~ v6_vectsp_1(sK145)
| ~ v7_vectsp_1(sK145)
| ~ v8_vectsp_1(sK145)
| v10_vectsp_1(sK145)
| ~ v2_vectsp_2(sK145)
| ~ l3_vectsp_1(sK145) ),
inference(forward_demodulation,[],[f35111,f34955]) ).
fof(f35114,definition,
( spl1057_30
<=> ! [X0] :
( r1_rlvect_1(sF1051,X0)
| ~ r2_hidden(X0,sK147) ) ),
introduced(definition,[new_symbols(definition,[spl1057_30])],[avatar_definition]) ).
fof(f35115,plain,
( ! [X0] :
( r1_rlvect_1(sF1051,X0)
| ~ r2_hidden(X0,sK147) )
| ~ spl1057_30 ),
inference(avatar_component_clause,[],[f35114]) ).
fof(f35116,plain,
( ~ spl1057_10
| ~ spl1057_11
| spl1057_12
| ~ spl1057_13
| ~ spl1057_14
| ~ spl1057_15
| ~ spl1057_16
| ~ spl1057_17
| ~ spl1057_18
| ~ spl1057_19
| ~ spl1057_20
| ~ spl1057_21
| spl1057_22
| ~ spl1057_3
| ~ spl1057_4
| ~ spl1057_5
| ~ spl1057_6
| ~ spl1057_7
| ~ spl1057_8
| spl1057_9
| spl1057_30
| ~ spl1057_24 ),
inference(avatar_split_clause,[],[f35112,f35076,f35114,f35016,f35012,f35008,f35004,f35000,f34996,f34992,f35068,f35064,f35060,f35056,f35052,f35048,f35044,f35040,f35036,f35032,f35028,f35024,f35020]) ).
fof(f35119,plain,
spl1057_3,
inference(avatar_split_clause,[],[f29576,f34992]) ).
fof(f35122,plain,
spl1057_4,
inference(avatar_split_clause,[],[f29577,f34996]) ).
fof(f35125,plain,
spl1057_5,
inference(avatar_split_clause,[],[f29578,f35000]) ).
fof(f35128,plain,
spl1057_6,
inference(avatar_split_clause,[],[f29579,f35004]) ).
fof(f35131,plain,
spl1057_7,
inference(avatar_split_clause,[],[f29580,f35008]) ).
fof(f35134,plain,
spl1057_8,
inference(avatar_split_clause,[],[f29581,f35012]) ).
fof(f35137,plain,
spl1057_10,
inference(avatar_split_clause,[],[f29563,f35020]) ).
fof(f35140,plain,
spl1057_13,
inference(avatar_split_clause,[],[f29566,f35032]) ).
fof(f35143,plain,
spl1057_14,
inference(avatar_split_clause,[],[f29567,f35036]) ).
fof(f35146,plain,
spl1057_15,
inference(avatar_split_clause,[],[f29568,f35040]) ).
fof(f35149,plain,
spl1057_18,
inference(avatar_split_clause,[],[f29571,f35052]) ).
fof(f35152,plain,
spl1057_19,
inference(avatar_split_clause,[],[f29572,f35056]) ).
fof(f35155,plain,
spl1057_20,
inference(avatar_split_clause,[],[f29573,f35060]) ).
fof(f35158,plain,
spl1057_21,
inference(avatar_split_clause,[],[f29574,f35064]) ).
fof(f35161,plain,
spl1057_17,
inference(avatar_split_clause,[],[f29570,f35048]) ).
fof(f35164,plain,
~ spl1057_22,
inference(avatar_split_clause,[],[f29575,f35068]) ).
fof(f35167,plain,
spl1057_11,
inference(avatar_split_clause,[],[f29564,f35024]) ).
fof(f35170,plain,
spl1057_16,
inference(avatar_split_clause,[],[f29569,f35044]) ).
fof(f35173,plain,
spl1057_24,
inference(avatar_split_clause,[],[f34956,f35076]) ).
fof(f35174,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK147)
| sF1053 = X0 )
| ~ spl1057_29
| ~ spl1057_30 ),
inference(resolution,[],[f35115,f35107]) ).
fof(f35187,plain,
~ spl1057_9,
inference(avatar_split_clause,[],[f29582,f35016]) ).
fof(f35190,plain,
~ spl1057_12,
inference(avatar_split_clause,[],[f29565,f35028]) ).
fof(f35191,plain,
( m1_subset_1(sF1053,u1_struct_0(sK146))
| ~ l2_struct_0(sK146) ),
inference(superposition,[],[f31800,f34948]) ).
fof(f35194,plain,
( m1_subset_1(sF1053,sF1055)
| ~ l2_struct_0(sK146) ),
inference(forward_demodulation,[],[f35191,f34953]) ).
fof(f35196,definition,
( spl1057_32
<=> l2_struct_0(sK146) ),
introduced(definition,[new_symbols(definition,[spl1057_32])],[avatar_definition]) ).
fof(f35200,plain,
( ~ spl1057_32
| spl1057_28 ),
inference(avatar_split_clause,[],[f35194,f35099,f35196]) ).
fof(f35328,plain,
( sF1054 = k1_tarski(sF1053)
| v3_struct_0(sK146)
| ~ l1_struct_0(sK146)
| ~ m1_subset_1(sF1053,u1_struct_0(sK146)) ),
inference(superposition,[],[f29740,f34950]) ).
fof(f35514,plain,
! [X0] : np__0 = k2_zfmisc_1(X0,np__0),
inference(equality_resolution,[],[f34569]) ).
fof(f35769,plain,
( ~ l2_struct_0(sK146)
| spl1057_25 ),
inference(resolution,[],[f31805,f35087]) ).
fof(f36143,plain,
( np__0 = sK147
| sF1053 = sK760(sK147)
| ~ spl1057_29
| ~ spl1057_30 ),
inference(resolution,[],[f34747,f35174]) ).
fof(f36146,definition,
( spl1057_134
<=> sF1053 = sK760(sK147) ),
introduced(definition,[new_symbols(definition,[spl1057_134])],[avatar_definition]) ).
fof(f36148,plain,
( sF1053 = sK760(sK147)
| ~ spl1057_134 ),
inference(avatar_component_clause,[],[f36146]) ).
fof(f36150,definition,
( spl1057_135
<=> np__0 = sK147 ),
introduced(definition,[new_symbols(definition,[spl1057_135])],[avatar_definition]) ).
fof(f36153,plain,
( spl1057_134
| spl1057_135
| ~ spl1057_29
| ~ spl1057_30 ),
inference(avatar_split_clause,[],[f36143,f35114,f35106,f36150,f36146]) ).
fof(f36154,plain,
( r2_hidden(sF1053,sK147)
| np__0 = sK147
| ~ spl1057_134 ),
inference(superposition,[],[f34747,f36148]) ).
fof(f36156,definition,
( spl1057_136
<=> r2_hidden(sF1053,sK147) ),
introduced(definition,[new_symbols(definition,[spl1057_136])],[avatar_definition]) ).
fof(f36159,plain,
( spl1057_135
| spl1057_136
| ~ spl1057_134 ),
inference(avatar_split_clause,[],[f36154,f36146,f36156,f36150]) ).
fof(f36169,plain,
~ spl1057_135,
inference(avatar_split_clause,[],[f34515,f36150]) ).
fof(f36666,definition,
( spl1057_207
<=> l1_rlvect_1(sK146) ),
introduced(definition,[new_symbols(definition,[spl1057_207])],[avatar_definition]) ).
fof(f36667,plain,
( l1_rlvect_1(sK146)
| ~ spl1057_207 ),
inference(avatar_component_clause,[],[f36666]) ).
fof(f36716,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| l2_struct_0(X0) ),
inference(resolution,[],[f31801,f30184]) ).
fof(f36717,plain,
( l2_struct_0(sK145)
| ~ spl1057_10 ),
inference(resolution,[],[f36716,f35021]) ).
fof(f36931,plain,
( ! [X0] :
( sF1053 = sK220(sK147,X0)
| r1_tarski(sK147,X0) )
| ~ spl1057_29
| ~ spl1057_30 ),
inference(resolution,[],[f30023,f35174]) ).
fof(f36935,plain,
( ! [X0] :
( ~ r2_hidden(sF1053,X0)
| r1_tarski(sK147,X0)
| r1_tarski(sK147,X0) )
| ~ spl1057_29
| ~ spl1057_30 ),
inference(superposition,[],[f30024,f36931]) ).
fof(f36936,plain,
( ! [X0] :
( ~ r2_hidden(sF1053,X0)
| r1_tarski(sK147,X0) )
| ~ spl1057_29
| ~ spl1057_30 ),
inference(duplicate_literal_removal,[],[f36935]) ).
fof(f37024,plain,
! [X0,X1] :
( ~ l2_struct_0(X1)
| l1_rlvect_1(X0)
| ~ l1_vectsp_2(X0,X1) ),
inference(resolution,[],[f30963,f31805]) ).
fof(f37025,plain,
( ! [X0] :
( ~ l1_vectsp_2(X0,sK145)
| l1_rlvect_1(X0) )
| ~ spl1057_10 ),
inference(resolution,[],[f37024,f36717]) ).
fof(f37026,plain,
( l1_rlvect_1(sK146)
| ~ spl1057_3
| ~ spl1057_10 ),
inference(resolution,[],[f37025,f34993]) ).
fof(f37032,plain,
( spl1057_207
| ~ spl1057_3
| ~ spl1057_10 ),
inference(avatar_split_clause,[],[f37026,f35020,f34992,f36666]) ).
fof(f37033,plain,
( l2_struct_0(sK146)
| ~ spl1057_207 ),
inference(resolution,[],[f36667,f31801]) ).
fof(f37036,plain,
( spl1057_32
| ~ spl1057_207 ),
inference(avatar_split_clause,[],[f37033,f36666,f35196]) ).
fof(f37044,plain,
( ~ spl1057_32
| spl1057_25 ),
inference(avatar_split_clause,[],[f35769,f35085,f35196]) ).
fof(f37047,plain,
( ~ m1_subset_1(sF1053,sF1055)
| sF1054 = k1_tarski(sF1053)
| v3_struct_0(sK146)
| ~ l1_struct_0(sK146) ),
inference(forward_demodulation,[],[f35328,f34953]) ).
fof(f37054,definition,
( spl1057_256
<=> sF1054 = k1_tarski(sF1053) ),
introduced(definition,[new_symbols(definition,[spl1057_256])],[avatar_definition]) ).
fof(f37056,plain,
( sF1054 = k1_tarski(sF1053)
| ~ spl1057_256 ),
inference(avatar_component_clause,[],[f37054]) ).
fof(f37058,plain,
( ~ spl1057_25
| spl1057_9
| spl1057_256
| ~ spl1057_28 ),
inference(avatar_split_clause,[],[f37047,f35099,f37054,f35016,f35085]) ).
fof(f40013,definition,
( spl1057_621
<=> np__0 = sF1054 ),
introduced(definition,[new_symbols(definition,[spl1057_621])],[avatar_definition]) ).
fof(f40015,plain,
( np__0 = sF1054
| ~ spl1057_621 ),
inference(avatar_component_clause,[],[f40013]) ).
fof(f40418,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_tarski(X1))
| X0 = X1 ),
inference(equality_resolution,[],[f30939]) ).
fof(f40424,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF1054)
| sF1053 = X0 )
| ~ spl1057_256 ),
inference(superposition,[],[f40418,f37056]) ).
fof(f41826,plain,
( ! [X0] :
( np__0 != k2_zfmisc_1(X0,sF1054)
| np__0 = X0 )
| ~ spl1057_256 ),
inference(superposition,[],[f34629,f37056]) ).
fof(f41827,plain,
( ! [X0] :
( np__0 != k2_zfmisc_1(X0,np__0)
| np__0 = X0 )
| ~ spl1057_256
| ~ spl1057_621 ),
inference(forward_demodulation,[],[f41826,f40015]) ).
fof(f41828,plain,
( ! [X0] :
( np__0 != np__0
| np__0 = X0 )
| ~ spl1057_256
| ~ spl1057_621 ),
inference(forward_demodulation,[],[f41827,f35514]) ).
fof(f41829,plain,
( ! [X0] : np__0 = X0
| ~ spl1057_256
| ~ spl1057_621 ),
inference(trivial_inequality_removal,[],[f41828]) ).
fof(f42709,plain,
( np__0 != sK147
| ~ spl1057_256
| ~ spl1057_621 ),
inference(superposition,[],[f34951,f41829]) ).
fof(f42888,plain,
( np__0 != np__0
| ~ spl1057_256
| ~ spl1057_621 ),
inference(forward_demodulation,[],[f42709,f41829]) ).
fof(f42889,plain,
( $false
| ~ spl1057_256
| ~ spl1057_621 ),
inference(trivial_inequality_removal,[],[f42888]) ).
fof(f42890,plain,
( ~ spl1057_256
| ~ spl1057_621 ),
inference(avatar_contradiction_clause,[],[f42889]) ).
fof(f44527,plain,
( ! [X0] :
( sF1053 = sK220(sF1054,X0)
| r1_tarski(sF1054,X0) )
| ~ spl1057_256 ),
inference(resolution,[],[f40424,f30023]) ).
fof(f44542,plain,
( ! [X0] :
( r2_hidden(sF1053,sF1054)
| r1_tarski(sF1054,X0)
| r1_tarski(sF1054,X0) )
| ~ spl1057_256 ),
inference(superposition,[],[f30023,f44527]) ).
fof(f44543,plain,
( ! [X0] :
( ~ r2_hidden(sF1053,X0)
| r1_tarski(sF1054,X0)
| r1_tarski(sF1054,X0) )
| ~ spl1057_256 ),
inference(superposition,[],[f30024,f44527]) ).
fof(f44544,plain,
( ! [X0] :
( r1_tarski(sF1054,X0)
| ~ r2_hidden(sF1053,X0) )
| ~ spl1057_256 ),
inference(duplicate_literal_removal,[],[f44543]) ).
fof(f44545,plain,
( ! [X0] :
( r2_hidden(sF1053,sF1054)
| r1_tarski(sF1054,X0) )
| ~ spl1057_256 ),
inference(duplicate_literal_removal,[],[f44542]) ).
fof(f44547,definition,
( spl1057_892
<=> ! [X0] : r1_tarski(sF1054,X0) ),
introduced(definition,[new_symbols(definition,[spl1057_892])],[avatar_definition]) ).
fof(f44548,plain,
( ! [X0] : r1_tarski(sF1054,X0)
| ~ spl1057_892 ),
inference(avatar_component_clause,[],[f44547]) ).
fof(f44550,definition,
( spl1057_893
<=> r2_hidden(sF1053,sF1054) ),
introduced(definition,[new_symbols(definition,[spl1057_893])],[avatar_definition]) ).
fof(f44552,plain,
( r2_hidden(sF1053,sF1054)
| ~ spl1057_893 ),
inference(avatar_component_clause,[],[f44550]) ).
fof(f44553,plain,
( spl1057_892
| spl1057_893
| ~ spl1057_256 ),
inference(avatar_split_clause,[],[f44545,f37054,f44550,f44547]) ).
fof(f44561,plain,
( np__0 = sF1054
| ~ spl1057_892 ),
inference(resolution,[],[f44548,f34571]) ).
fof(f44579,plain,
( spl1057_621
| ~ spl1057_892 ),
inference(avatar_split_clause,[],[f44561,f44547,f40013]) ).
fof(f44585,plain,
( r1_tarski(sK147,sF1054)
| ~ spl1057_29
| ~ spl1057_30
| ~ spl1057_893 ),
inference(resolution,[],[f44552,f36936]) ).
fof(f44591,plain,
( sK147 = sF1054
| ~ r1_tarski(sF1054,sK147)
| ~ spl1057_29
| ~ spl1057_30
| ~ spl1057_893 ),
inference(resolution,[],[f44585,f30020]) ).
fof(f44593,definition,
( spl1057_898
<=> r1_tarski(sF1054,sK147) ),
introduced(definition,[new_symbols(definition,[spl1057_898])],[avatar_definition]) ).
fof(f44595,plain,
( ~ r1_tarski(sF1054,sK147)
| spl1057_898 ),
inference(avatar_component_clause,[],[f44593]) ).
fof(f44597,definition,
( spl1057_899
<=> sK147 = sF1054 ),
introduced(definition,[new_symbols(definition,[spl1057_899])],[avatar_definition]) ).
fof(f44599,plain,
( sK147 = sF1054
| ~ spl1057_899 ),
inference(avatar_component_clause,[],[f44597]) ).
fof(f44600,plain,
( ~ spl1057_898
| spl1057_899
| ~ spl1057_29
| ~ spl1057_30
| ~ spl1057_893 ),
inference(avatar_split_clause,[],[f44591,f44550,f35114,f35106,f44597,f44593]) ).
fof(f44632,plain,
( ~ r2_hidden(sF1053,sK147)
| ~ spl1057_256
| spl1057_898 ),
inference(resolution,[],[f44595,f44544]) ).
fof(f44633,plain,
( ~ spl1057_136
| ~ spl1057_256
| spl1057_898 ),
inference(avatar_split_clause,[],[f44632,f44593,f37054,f36156]) ).
fof(f44634,plain,
( $false
| ~ spl1057_899 ),
inference(backward_subsumption_resolution,[],[f34951,f44599]) ).
fof(f44646,plain,
~ spl1057_899,
inference(avatar_contradiction_clause,[],[f44634]) ).
cnf(s5,plain,
( ~ spl1057_3
| ~ spl1057_4
| ~ spl1057_5
| ~ spl1057_6
| ~ spl1057_7
| ~ spl1057_8
| spl1057_9
| ~ spl1057_10
| ~ spl1057_13
| ~ spl1057_14
| ~ spl1057_15
| ~ spl1057_17
| ~ spl1057_18
| ~ spl1057_19
| ~ spl1057_20
| ~ spl1057_21
| spl1057_22
| spl1057_29 ),
inference(sat_conversion,[],[f35108]) ).
cnf(s6,plain,
( ~ spl1057_3
| ~ spl1057_4
| ~ spl1057_5
| ~ spl1057_6
| ~ spl1057_7
| ~ spl1057_8
| spl1057_9
| ~ spl1057_10
| ~ spl1057_11
| spl1057_12
| ~ spl1057_13
| ~ spl1057_14
| ~ spl1057_15
| ~ spl1057_16
| ~ spl1057_17
| ~ spl1057_18
| ~ spl1057_19
| ~ spl1057_20
| ~ spl1057_21
| spl1057_22
| ~ spl1057_24
| spl1057_30 ),
inference(sat_conversion,[],[f35116]) ).
cnf(s8,plain,
spl1057_3,
inference(sat_conversion,[],[f35119]) ).
cnf(s10,plain,
spl1057_4,
inference(sat_conversion,[],[f35122]) ).
cnf(s12,plain,
spl1057_5,
inference(sat_conversion,[],[f35125]) ).
cnf(s14,plain,
spl1057_6,
inference(sat_conversion,[],[f35128]) ).
cnf(s16,plain,
spl1057_7,
inference(sat_conversion,[],[f35131]) ).
cnf(s18,plain,
spl1057_8,
inference(sat_conversion,[],[f35134]) ).
cnf(s20,plain,
spl1057_10,
inference(sat_conversion,[],[f35137]) ).
cnf(s22,plain,
spl1057_13,
inference(sat_conversion,[],[f35140]) ).
cnf(s24,plain,
spl1057_14,
inference(sat_conversion,[],[f35143]) ).
cnf(s26,plain,
spl1057_15,
inference(sat_conversion,[],[f35146]) ).
cnf(s28,plain,
spl1057_18,
inference(sat_conversion,[],[f35149]) ).
cnf(s30,plain,
spl1057_19,
inference(sat_conversion,[],[f35152]) ).
cnf(s32,plain,
spl1057_20,
inference(sat_conversion,[],[f35155]) ).
cnf(s34,plain,
spl1057_21,
inference(sat_conversion,[],[f35158]) ).
cnf(s36,plain,
spl1057_17,
inference(sat_conversion,[],[f35161]) ).
cnf(s38,plain,
~ spl1057_22,
inference(sat_conversion,[],[f35164]) ).
cnf(s40,plain,
spl1057_11,
inference(sat_conversion,[],[f35167]) ).
cnf(s42,plain,
spl1057_16,
inference(sat_conversion,[],[f35170]) ).
cnf(s44,plain,
spl1057_24,
inference(sat_conversion,[],[f35173]) ).
cnf(s47,plain,
~ spl1057_9,
inference(sat_conversion,[],[f35187]) ).
cnf(s49,plain,
~ spl1057_12,
inference(sat_conversion,[],[f35190]) ).
cnf(s51,plain,
( spl1057_28
| ~ spl1057_32 ),
inference(sat_conversion,[],[f35200]) ).
cnf(s162,plain,
( ~ spl1057_29
| ~ spl1057_30
| spl1057_134
| spl1057_135 ),
inference(sat_conversion,[],[f36153]) ).
cnf(s163,plain,
( ~ spl1057_134
| spl1057_135
| spl1057_136 ),
inference(sat_conversion,[],[f36159]) ).
cnf(s165,plain,
~ spl1057_135,
inference(sat_conversion,[],[f36169]) ).
cnf(s280,plain,
( ~ spl1057_3
| ~ spl1057_10
| spl1057_207 ),
inference(sat_conversion,[],[f37032]) ).
cnf(s281,plain,
( spl1057_32
| ~ spl1057_207 ),
inference(sat_conversion,[],[f37036]) ).
cnf(s284,plain,
( spl1057_25
| ~ spl1057_32 ),
inference(sat_conversion,[],[f37044]) ).
cnf(s289,plain,
( spl1057_9
| ~ spl1057_25
| ~ spl1057_28
| spl1057_256 ),
inference(sat_conversion,[],[f37058]) ).
cnf(s1132,plain,
( ~ spl1057_256
| ~ spl1057_621 ),
inference(sat_conversion,[],[f42890]) ).
cnf(s1328,plain,
( ~ spl1057_256
| spl1057_892
| spl1057_893 ),
inference(sat_conversion,[],[f44553]) ).
cnf(s1332,plain,
( spl1057_621
| ~ spl1057_892 ),
inference(sat_conversion,[],[f44579]) ).
cnf(s1337,plain,
( ~ spl1057_29
| ~ spl1057_30
| ~ spl1057_893
| ~ spl1057_898
| spl1057_899 ),
inference(sat_conversion,[],[f44600]) ).
cnf(s1344,plain,
( ~ spl1057_136
| ~ spl1057_256
| spl1057_898 ),
inference(sat_conversion,[],[f44633]) ).
cnf(s1345,plain,
~ spl1057_899,
inference(sat_conversion,[],[f44646]) ).
cnf(s1346,plain,
( ~ spl1057_29
| ~ spl1057_30
| ~ spl1057_893
| ~ spl1057_898 ),
inference(rat,[],[s1337,s1345]) ).
cnf(s1350,plain,
( ~ spl1057_134
| spl1057_136 ),
inference(rat,[],[s163,s165]) ).
cnf(s1351,plain,
( ~ spl1057_29
| ~ spl1057_30
| spl1057_134 ),
inference(rat,[],[s162,s165]) ).
cnf(s1577,plain,
spl1057_207,
inference(rat,[],[s280,s20,s8]) ).
cnf(s1622,plain,
spl1057_32,
inference(rat,[],[s281,s1577]) ).
cnf(s1668,plain,
spl1057_25,
inference(rat,[],[s284,s1622]) ).
cnf(s1669,plain,
spl1057_28,
inference(rat,[],[s51,s1622]) ).
cnf(s1694,plain,
spl1057_256,
inference(rat,[],[s289,s1668,s47,s1669]) ).
cnf(s1758,plain,
~ spl1057_621,
inference(rat,[],[s1132,s1694]) ).
cnf(s1817,plain,
~ spl1057_892,
inference(rat,[],[s1332,s1758]) ).
cnf(s1836,plain,
spl1057_893,
inference(rat,[],[s1328,s1694,s1817]) ).
cnf(s1837,plain,
spl1057_30,
inference(rat,[],[s6,s44,s38,s34,s32,s30,s28,s36,s42,s26,s24,s22,s49,s40,s20,s47,s18,s16,s14,s12,s10,s8]) ).
cnf(s1838,plain,
spl1057_29,
inference(rat,[],[s5,s38,s34,s32,s30,s28,s36,s26,s24,s22,s20,s47,s18,s16,s14,s12,s10,s8]) ).
cnf(s1839,plain,
~ spl1057_898,
inference(rat,[],[s1346,s1837,s1836,s1838]) ).
cnf(s1850,plain,
spl1057_134,
inference(rat,[],[s1351,s1837,s1838]) ).
cnf(s1866,plain,
~ spl1057_136,
inference(rat,[],[s1344,s1694,s1839]) ).
cnf(s1877,plain,
$false,
inference(rat,[],[s1350,s1866,s1850]) ).
fof(f44647,plain,
$false,
inference(avatar_sat_refutation,[],[s1877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG218+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 19:46:16 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 11.98/2.65 % (102509)Detected formulas, will run a generic FOF schedule.
% 11.98/2.65 % (102519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2685010524:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 11.98/2.65 % (102515)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=1955595883:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 11.98/2.65 % (102514)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=946792385:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 11.98/2.65 % (102517)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4086972500:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 11.98/2.65 % (102516)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=3429851936:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 11.98/2.65 % (102518)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=766300355:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 11.98/2.65 % (102519)Instruction limit reached!
% 11.98/2.65 % (102519)------------------------------
% 11.98/2.65 % (102519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (102519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (102519)CaDiCaL version: 2.1.3
% 11.98/2.65 % (102519)Termination reason: Instruction limit
% 11.98/2.65 % (102519)Termination phase: Property scanning
% 11.98/2.65 % (102519)Time elapsed: 0.035 s
% 11.98/2.65 % (102520)dis-21_1_sil=8000:lcm=predicate:random_seed=3667852981:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 11.98/2.65 % (102519)Peak memory usage: 118 MB
% 11.98/2.65 % (102519)Instructions burned: 142 (million)
% 11.98/2.65 % (102517)Instruction limit reached!
% 11.98/2.65 % (102517)------------------------------
% 11.98/2.65 % (102517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (102517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (102517)CaDiCaL version: 2.1.3
% 11.98/2.65 % (102517)Termination reason: Instruction limit
% 11.98/2.65 % (102517)Termination phase: SInE selection
% 11.98/2.65 % (102517)Time elapsed: 0.082 s
% 11.98/2.65 % (102517)Peak memory usage: 118 MB
% 11.98/2.65 % (102517)Instructions burned: 109 (million)
% 11.98/2.65 % (102518)Instruction limit reached!
% 11.98/2.65 % (102518)------------------------------
% 11.98/2.65 % (102518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (102518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (102518)CaDiCaL version: 2.1.3
% 11.98/2.65 % (102518)Termination reason: Instruction limit
% 11.98/2.65 % (102518)Termination phase: SInE selection
% 11.98/2.65 % (102518)Time elapsed: 0.085 s
% 11.98/2.65 % (102518)Peak memory usage: 118 MB
% 11.98/2.65 % (102518)Instructions burned: 120 (million)
% 11.98/2.65 % (102520)Instruction limit reached!
% 11.98/2.65 % (102520)------------------------------
% 11.98/2.65 % (102520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (102520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (102520)CaDiCaL version: 2.1.3
% 11.98/2.65 % (102520)Termination reason: Instruction limit
% 11.98/2.65 % (102520)Termination phase: SInE selection
% 11.98/2.65 % (102520)Time elapsed: 0.091 s
% 11.98/2.65 % (102520)Peak memory usage: 118 MB
% 11.98/2.65 % (102520)Instructions burned: 129 (million)
% 11.98/2.65 % (102528)lrs+10_1_sil=8000:sp=occurrence:random_seed=150035095:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 11.98/2.65 % (102528)Instruction limit reached!
% 11.98/2.65 % (102528)------------------------------
% 11.98/2.65 % (102528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.65 % (102528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.65 % (102528)CaDiCaL version: 2.1.3
% 11.98/2.65 % (102528)Termination reason: Instruction limit
% 11.98/2.65 % (102528)Termination phase: Saturation
% 11.98/2.65 % (102528)Time elapsed: 0.119 s
% 11.98/2.65 % (102528)Peak memory usage: 124 MB
% 11.98/2.65 % (102528)Instructions burned: 287 (million)
% 11.98/2.65 % (102529)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1229254234:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 18.72/3.64 % (102532)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=111298713:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 18.72/3.64 % (102530)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1821069677:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 18.72/3.64 % (102529)Instruction limit reached!
% 18.72/3.64 % (102529)------------------------------
% 18.72/3.64 % (102529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.72/3.64 % (102529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.72/3.64 % (102529)CaDiCaL version: 2.1.3
% 18.72/3.64 % (102529)Termination reason: Instruction limit
% 18.72/3.64 % (102529)Termination phase: Property scanning
% 18.72/3.64 % (102529)Time elapsed: 0.071 s
% 18.72/3.64 % (102529)Peak memory usage: 118 MB
% 18.72/3.64 % (102529)Instructions burned: 159 (million)
% 18.72/3.64 % (102534)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1897871446:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 18.72/3.64 % (102532)Instruction limit reached!
% 18.72/3.64 % (102532)------------------------------
% 18.72/3.64 % (102532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.72/3.64 % (102532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.72/3.64 % (102532)CaDiCaL version: 2.1.3
% 18.72/3.64 % (102532)Termination reason: Instruction limit
% 18.72/3.64 % (102532)Termination phase: Property scanning
% 18.72/3.64 % (102532)Time elapsed: 0.108 s
% 18.72/3.64 % (102532)Peak memory usage: 118 MB
% 18.72/3.64 % (102532)Instructions burned: 250 (million)
% 18.72/3.64 % (102537)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=139570962:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 18.72/3.64 % (102534)Instruction limit reached!
% 18.72/3.64 % (102534)------------------------------
% 18.72/3.64 % (102534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.72/3.64 % (102534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.72/3.64 % (102534)CaDiCaL version: 2.1.3
% 18.72/3.64 % (102534)Termination reason: Instruction limit
% 18.72/3.64 % (102534)Termination phase: Preprocessing 3
% 18.72/3.64 % (102534)Time elapsed: 0.135 s
% 18.72/3.64 % (102534)Peak memory usage: 124 MB
% 18.72/3.64 % (102534)Instructions burned: 295 (million)
% 18.72/3.64 % (102530)Instruction limit reached!
% 18.72/3.64 % (102530)------------------------------
% 18.72/3.64 % (102530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.72/3.64 % (102530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.72/3.64 % (102530)CaDiCaL version: 2.1.3
% 18.72/3.64 % (102530)Termination reason: Instruction limit
% 18.72/3.64 % (102530)Termination phase: Saturation
% 18.72/3.64 % (102530)Time elapsed: 0.235 s
% 18.72/3.64 % (102530)Peak memory usage: 125 MB
% 18.72/3.64 % (102530)Instructions burned: 326 (million)
% 18.72/3.64 % (102539)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4287702897:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 18.72/3.64 % (102541)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3716309332:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 18.72/3.64 % (102539)Instruction limit reached!
% 18.72/3.64 % (102539)------------------------------
% 18.72/3.64 % (102539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.72/3.64 % (102539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.72/3.64 % (102539)CaDiCaL version: 2.1.3
% 18.72/3.64 % (102539)Termination reason: Instruction limit
% 18.72/3.64 % (102539)Termination phase: SInE selection
% 18.72/3.64 % (102539)Time elapsed: 0.087 s
% 18.72/3.64 % (102539)Peak memory usage: 118 MB
% 18.72/3.64 % (102539)Instructions burned: 114 (million)
% 18.72/3.64 % (102543)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=798581602:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 18.72/3.64 % (102541)Instruction limit reached!
% 18.72/3.64 % (102541)------------------------------
% 18.72/3.64 % (102541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.72/3.64 % (102541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.31/8.86 % (102541)CaDiCaL version: 2.1.3
% 56.31/8.86 % (102541)Termination reason: Instruction limit
% 56.31/8.86 % (102541)Termination phase: Preprocessing 1
% 56.31/8.86 % (102541)Time elapsed: 0.055 s
% 56.31/8.86 % (102541)Peak memory usage: 119 MB
% 56.31/8.86 % (102541)Instructions burned: 129 (million)
% 56.31/8.86 % (102543)Instruction limit reached!
% 56.31/8.86 % (102543)------------------------------
% 56.31/8.86 % (102543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.31/8.86 % (102543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.31/8.86 % (102543)CaDiCaL version: 2.1.3
% 56.31/8.86 % (102543)Termination reason: Instruction limit
% 56.31/8.86 % (102543)Termination phase: Property scanning
% 56.31/8.86 % (102543)Time elapsed: 0.051 s
% 56.31/8.86 % (102543)Peak memory usage: 118 MB
% 56.31/8.86 % (102543)Instructions burned: 115 (million)
% 56.31/8.86 % (102545)lrs+10_1_sil=8000:sp=occurrence:random_seed=1852674366:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 56.31/8.86 % (102547)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2094388201:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 56.31/8.86 % (102548)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=680156142:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 56.31/8.86 % (102547)Instruction limit reached!
% 56.31/8.86 % (102547)------------------------------
% 56.31/8.86 % (102547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.31/8.86 % (102547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.31/8.86 % (102547)CaDiCaL version: 2.1.3
% 56.31/8.86 % (102547)Termination reason: Instruction limit
% 56.31/8.86 % (102547)Termination phase: Saturation
% 56.31/8.86 % (102547)Time elapsed: 0.142 s
% 56.31/8.86 % (102547)Peak memory usage: 124 MB
% 56.31/8.86 % (102547)Instructions burned: 441 (million)
% 56.31/8.86 % (102552)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1313261774:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 56.31/8.86 % (102552)Instruction limit reached!
% 56.31/8.86 % (102552)------------------------------
% 56.31/8.86 % (102552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.31/8.86 % (102552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.31/8.86 % (102552)CaDiCaL version: 2.1.3
% 56.31/8.86 % (102552)Termination reason: Instruction limit
% 56.31/8.86 % (102552)Termination phase: SInE selection
% 56.31/8.86 % (102552)Time elapsed: 0.057 s
% 56.31/8.86 % (102552)Peak memory usage: 118 MB
% 56.31/8.86 % (102552)Instructions burned: 136 (million)
% 56.31/8.86 % (102554)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2463080058:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 56.31/8.86 % (102545)Instruction limit reached!
% 56.31/8.86 % (102545)------------------------------
% 56.31/8.86 % (102545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.31/8.86 % (102545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.31/8.86 % (102545)CaDiCaL version: 2.1.3
% 56.31/8.86 % (102545)Termination reason: Instruction limit
% 56.31/8.86 % (102545)Termination phase: Function definition elimination
% 56.31/8.86 % (102545)Time elapsed: 0.567 s
% 56.31/8.86 % (102545)Peak memory usage: 143 MB
% 56.31/8.86 % (102545)Instructions burned: 907 (million)
% 56.31/8.86 % (102554)Instruction limit reached!
% 56.31/8.86 % (102554)------------------------------
% 56.31/8.86 % (102554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.31/8.86 % (102554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.31/8.86 % (102554)CaDiCaL version: 2.1.3
% 56.31/8.86 % (102554)Termination reason: Instruction limit
% 56.31/8.86 % (102554)Termination phase: Preprocessing 3
% 56.31/8.86 % (102554)Time elapsed: 0.268 s
% 56.31/8.86 % (102554)Peak memory usage: 141 MB
% 56.31/8.86 % (102554)Instructions burned: 593 (million)
% 56.31/8.86 % (102556)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3539006657:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 56.31/8.86 % (102557)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=1218256827:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 56.31/8.86 % (102557)Instruction limit reached!
% 56.31/8.86 % (102557)------------------------------
% 93.57/14.15 % (102557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.57/14.15 % (102557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.57/14.15 % (102557)CaDiCaL version: 2.1.3
% 93.57/14.15 % (102557)Termination reason: Instruction limit
% 93.57/14.15 % (102557)Termination phase: Property scanning
% 93.57/14.15 % (102557)Time elapsed: 0.055 s
% 93.57/14.15 % (102557)Peak memory usage: 118 MB
% 93.57/14.15 % (102557)Instructions burned: 126 (million)
% 93.57/14.15 % (102560)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3449876226:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 93.57/14.15 % (102560)Instruction limit reached!
% 93.57/14.15 % (102560)------------------------------
% 93.57/14.15 % (102560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.57/14.15 % (102560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.57/14.15 % (102560)CaDiCaL version: 2.1.3
% 93.57/14.15 % (102560)Termination reason: Instruction limit
% 93.57/14.15 % (102560)Termination phase: Property scanning
% 93.57/14.15 % (102560)Time elapsed: 0.059 s
% 93.57/14.15 % (102560)Peak memory usage: 118 MB
% 93.57/14.15 % (102560)Instructions burned: 135 (million)
% 93.57/14.15 % (102537)Instruction limit reached!
% 93.57/14.15 % (102537)------------------------------
% 93.57/14.15 % (102537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.57/14.15 % (102537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.57/14.15 % (102537)CaDiCaL version: 2.1.3
% 93.57/14.15 % (102537)Termination reason: Instruction limit
% 93.57/14.15 % (102537)Termination phase: Function definition elimination
% 93.57/14.15 % (102537)Time elapsed: 1.309 s
% 93.57/14.15 % (102537)Peak memory usage: 186 MB
% 93.57/14.15 % (102537)Instructions burned: 2350 (million)
% 93.57/14.15 % (102562)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=938887151:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 93.57/14.15 % (102563)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=932973961:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 93.57/14.15 % (102562)Instruction limit reached!
% 93.57/14.15 % (102562)------------------------------
% 93.57/14.15 % (102562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.57/14.15 % (102562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.57/14.15 % (102562)CaDiCaL version: 2.1.3
% 93.57/14.15 % (102562)Termination reason: Instruction limit
% 93.57/14.15 % (102562)Termination phase: NewCNF
% 93.57/14.15 % (102562)Time elapsed: 0.114 s
% 93.57/14.15 % (102562)Peak memory usage: 120 MB
% 93.57/14.15 % (102562)Instructions burned: 141 (million)
% 93.57/14.15 % (102563)Refutation not found, incomplete strategy
% 93.57/14.15 % (102563)------------------------------
% 93.57/14.15 % (102563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.57/14.15 % (102563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.57/14.15 % (102563)CaDiCaL version: 2.1.3
% 93.57/14.15 % (102563)Termination reason: Refutation not found, incomplete strategy
% 93.57/14.15 % (102563)Time elapsed: 0.132 s
% 93.57/14.15 % (102563)Peak memory usage: 124 MB
% 93.57/14.15 % (102563)Instructions burned: 156 (million)
% 93.57/14.15 % (102566)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=141376532:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 93.57/14.15 % (102563)------------------------------
% 93.57/14.15 % (102563)------------------------------
% 93.57/14.15 % (102568)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=308441990:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 93.57/14.15 % (102568)Instruction limit reached!
% 93.57/14.15 % (102568)------------------------------
% 93.57/14.15 % (102568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.57/14.15 % (102568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.57/14.15 % (102568)CaDiCaL version: 2.1.3
% 93.57/14.15 % (102568)Termination reason: Instruction limit
% 93.57/14.15 % (102568)Termination phase: Preprocessing 1
% 93.57/14.15 % (102568)Time elapsed: 0.128 s
% 93.57/14.15 % (102568)Peak memory usage: 119 MB
% 93.57/14.15 % (102568)Instructions burned: 151 (million)
% 123.03/18.21 % (102570)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=803403332:i=14155:bd=all_2967 on theBenchmark for (2967ds/14155Mi)
% 123.03/18.21 % (102548)Instruction limit reached!
% 123.03/18.21 % (102548)------------------------------
% 123.03/18.21 % (102548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.03/18.21 % (102548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.03/18.21 % (102548)CaDiCaL version: 2.1.3
% 123.03/18.21 % (102548)Termination reason: Instruction limit
% 123.03/18.21 % (102548)Termination phase: Saturation
% 123.03/18.21 % (102548)Time elapsed: 3.881 s
% 123.03/18.21 % (102548)Peak memory usage: 601 MB
% 123.03/18.21 % (102548)Instructions burned: 5203 (million)
% 123.03/18.21 % (102572)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2838561083:i=667:av=off:fsr=off_2945 on theBenchmark for (2945ds/667Mi)
% 123.03/18.21 % (102566)Instruction limit reached!
% 123.03/18.21 % (102566)------------------------------
% 123.03/18.21 % (102566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.03/18.21 % (102566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.03/18.21 % (102566)CaDiCaL version: 2.1.3
% 123.03/18.21 % (102566)Termination reason: Instruction limit
% 123.03/18.21 % (102566)Termination phase: Property scanning
% 123.03/18.21 % (102566)Time elapsed: 3.136 s
% 123.03/18.21 % (102566)Peak memory usage: 201 MB
% 123.03/18.21 % (102566)Instructions burned: 6061 (million)
% 123.03/18.21 % (102574)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3861468511:s2a=on:i=185:s2at=1.8:fdi=4_2940 on theBenchmark for (2940ds/185Mi)
% 123.03/18.21 % (102572)Instruction limit reached!
% 123.03/18.21 % (102572)------------------------------
% 123.03/18.21 % (102572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.03/18.21 % (102572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.03/18.21 % (102572)CaDiCaL version: 2.1.3
% 123.03/18.21 % (102572)Termination reason: Instruction limit
% 123.03/18.21 % (102572)Termination phase: NewCNF
% 123.03/18.21 % (102572)Time elapsed: 0.527 s
% 123.03/18.21 % (102572)Peak memory usage: 159 MB
% 123.03/18.21 % (102572)Instructions burned: 669 (million)
% 123.03/18.21 % (102574)Instruction limit reached!
% 123.03/18.21 % (102574)------------------------------
% 123.03/18.21 % (102574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.03/18.21 % (102574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.03/18.21 % (102574)CaDiCaL version: 2.1.3
% 123.03/18.21 % (102574)Termination reason: Instruction limit
% 123.03/18.21 % (102574)Termination phase: SInE selection
% 123.03/18.21 % (102574)Time elapsed: 0.127 s
% 123.03/18.21 % (102574)Peak memory usage: 119 MB
% 123.03/18.21 % (102574)Instructions burned: 186 (million)
% 123.03/18.21 % (102576)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1723081820:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2939 on theBenchmark for (2939ds/193Mi)
% 123.03/18.21 % (102577)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2931932855:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2937 on theBenchmark for (2937ds/4850Mi)
% 123.03/18.21 % (102576)Instruction limit reached!
% 123.03/18.21 % (102576)------------------------------
% 123.03/18.21 % (102576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.03/18.21 % (102576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.03/18.21 % (102576)CaDiCaL version: 2.1.3
% 123.03/18.21 % (102576)Termination reason: Instruction limit
% 123.03/18.21 % (102576)Termination phase: SInE selection
% 123.03/18.21 % (102576)Time elapsed: 0.160 s
% 123.03/18.21 % (102576)Peak memory usage: 118 MB
% 123.03/18.21 % (102576)Instructions burned: 193 (million)
% 123.03/18.21 % (102580)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=428872667:i=12111:sd=1:ss=included_2936 on theBenchmark for (2936ds/12111Mi)
% 123.03/18.21 % (102577)Instruction limit reached!
% 123.03/18.21 % (102577)------------------------------
% 123.03/18.21 % (102577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.03/18.21 % (102577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.03/18.21 % (102577)CaDiCaL version: 2.1.3
% 123.03/18.21 % (102577)Termination reason: Instruction limit
% 123.03/18.21 % (102577)Termination phase: Property scanning
% 65.44/19.08 % (102577)Time elapsed: 2.113 s
% 65.44/19.08 % (102577)Peak memory usage: 175 MB
% 65.44/19.08 % (102577)Instructions burned: 4850 (million)
% 65.44/19.08 % (102582)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1242005659:i=319:kws=precedence:fsr=off_2915 on theBenchmark for (2915ds/319Mi)
% 65.44/19.08 % (102582)Instruction limit reached!
% 65.44/19.08 % (102582)------------------------------
% 65.44/19.08 % (102582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102582)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102582)Termination reason: Instruction limit
% 65.44/19.08 % (102582)Termination phase: Preprocessing 2
% 65.44/19.08 % (102582)Time elapsed: 0.259 s
% 65.44/19.08 % (102582)Peak memory usage: 141 MB
% 65.44/19.08 % (102582)Instructions burned: 319 (million)
% 65.44/19.08 % (102584)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=884606332:i=2064:ep=RST_2911 on theBenchmark for (2911ds/2064Mi)
% 65.44/19.08 % (102556)Instruction limit reached!
% 65.44/19.08 % (102556)------------------------------
% 65.44/19.08 % (102556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102556)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102556)Termination reason: Instruction limit
% 65.44/19.08 % (102556)Termination phase: Saturation
% 65.44/19.08 % (102556)Time elapsed: 7.048 s
% 65.44/19.08 % (102556)Peak memory usage: 330 MB
% 65.44/19.08 % (102556)Instructions burned: 13194 (million)
% 65.44/19.08 % (102586)dis-1011_128_sil=32000:random_seed=2027979340:i=3706:ep=RST:av=off_2908 on theBenchmark for (2908ds/3706Mi)
% 65.44/19.08 % (102584)Instruction limit reached!
% 65.44/19.08 % (102584)------------------------------
% 65.44/19.08 % (102584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102584)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102584)Termination reason: Instruction limit
% 65.44/19.08 % (102584)Termination phase: Function definition elimination
% 65.44/19.08 % (102584)Time elapsed: 1.122 s
% 65.44/19.08 % (102584)Peak memory usage: 186 MB
% 65.44/19.08 % (102584)Instructions burned: 2065 (million)
% 65.44/19.08 % (102588)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=159954714:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2898 on theBenchmark for (2898ds/757Mi)
% 65.44/19.08 % (102588)Instruction limit reached!
% 65.44/19.08 % (102588)------------------------------
% 65.44/19.08 % (102588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102588)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102588)Termination reason: Instruction limit
% 65.44/19.08 % (102588)Termination phase: Saturation
% 65.44/19.08 % (102588)Time elapsed: 0.522 s
% 65.44/19.08 % (102588)Peak memory usage: 131 MB
% 65.44/19.08 % (102588)Instructions burned: 759 (million)
% 65.44/19.08 % (102590)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1704980416:i=13913:ss=axioms:sgt=8_2892 on theBenchmark for (2892ds/13913Mi)
% 65.44/19.08 % (102586)Instruction limit reached!
% 65.44/19.08 % (102586)------------------------------
% 65.44/19.08 % (102586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102586)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102586)Termination reason: Instruction limit
% 65.44/19.08 % (102586)Termination phase: Property scanning
% 65.44/19.08 % (102586)Time elapsed: 1.749 s
% 65.44/19.08 % (102586)Peak memory usage: 193 MB
% 65.44/19.08 % (102586)Instructions burned: 3708 (million)
% 65.44/19.08 % (102592)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3630299016:i=9925:aac=none_2889 on theBenchmark for (2889ds/9925Mi)
% 65.44/19.08 % (102580)Instruction limit reached!
% 65.44/19.08 % (102580)------------------------------
% 65.44/19.08 % (102580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102580)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102580)Termination reason: Instruction limit
% 65.44/19.08 % (102580)Termination phase: Saturation
% 65.44/19.08 % (102580)Time elapsed: 7.231 s
% 65.44/19.08 % (102580)Peak memory usage: 267 MB
% 65.44/19.08 % (102580)Instructions burned: 12111 (million)
% 65.44/19.08 % (102594)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=815080234:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2862 on theBenchmark for (2862ds/2479Mi)
% 65.44/19.08 % (102570)Instruction limit reached!
% 65.44/19.08 % (102570)------------------------------
% 65.44/19.08 % (102570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102570)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102570)Termination reason: Instruction limit
% 65.44/19.08 % (102570)Termination phase: Saturation
% 65.44/19.08 % (102570)Time elapsed: 11.236 s
% 65.44/19.08 % (102570)Peak memory usage: 1010 MB
% 65.44/19.08 % (102570)Instructions burned: 14156 (million)
% 65.44/19.08 % (102596)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2365867436:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2852 on theBenchmark for (2852ds/440Mi)
% 65.44/19.08 % (102596)Instruction limit reached!
% 65.44/19.08 % (102596)------------------------------
% 65.44/19.08 % (102596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102596)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102596)Termination reason: Instruction limit
% 65.44/19.08 % (102596)Termination phase: Initialization
% 65.44/19.08 % (102596)Time elapsed: 0.191 s
% 65.44/19.08 % (102596)Peak memory usage: 118 MB
% 65.44/19.08 % (102596)Instructions burned: 442 (million)
% 65.44/19.08 % (102598)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2102249196:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2849 on theBenchmark for (2849ds/11145Mi)
% 65.44/19.08 % (102594)Instruction limit reached!
% 65.44/19.08 % (102594)------------------------------
% 65.44/19.08 % (102594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102594)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102594)Termination reason: Instruction limit
% 65.44/19.08 % (102594)Termination phase: Saturation
% 65.44/19.08 % (102594)Time elapsed: 1.549 s
% 65.44/19.08 % (102594)Peak memory usage: 143 MB
% 65.44/19.08 % (102594)Instructions burned: 2479 (million)
% 65.44/19.08 % (102600)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3473501754:cts=off:i=3034:av=off:er=known:fsd=on_2845 on theBenchmark for (2845ds/3034Mi)
% 65.44/19.08 % (102600)Instruction limit reached!
% 65.44/19.08 % (102600)------------------------------
% 65.44/19.08 % (102600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102600)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102600)Termination reason: Instruction limit
% 65.44/19.08 % (102600)Termination phase: Property scanning
% 65.44/19.08 % (102600)Time elapsed: 1.590 s
% 65.44/19.08 % (102600)Peak memory usage: 193 MB
% 65.44/19.08 % (102600)Instructions burned: 3036 (million)
% 65.44/19.08 % (102602)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2126077195:st=2:s2a=on:i=524:s2at=2:ss=axioms_2827 on theBenchmark for (2827ds/524Mi)
% 65.44/19.08 % (102602)Instruction limit reached!
% 65.44/19.08 % (102602)------------------------------
% 65.44/19.08 % (102602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102602)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102602)Termination reason: Instruction limit
% 65.44/19.08 % (102602)Termination phase: Preprocessing 1
% 65.44/19.08 % (102602)Time elapsed: 0.412 s
% 65.44/19.08 % (102602)Peak memory usage: 120 MB
% 65.44/19.08 % (102602)Instructions burned: 524 (million)
% 65.44/19.08 % (102592)Instruction limit reached!
% 65.44/19.08 % (102592)------------------------------
% 65.44/19.08 % (102592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102592)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102592)Termination reason: Instruction limit
% 65.44/19.08 % (102592)Termination phase: Saturation
% 65.44/19.08 % (102592)Time elapsed: 6.588 s
% 65.44/19.08 % (102592)Peak memory usage: 966 MB
% 65.44/19.08 % (102592)Instructions burned: 9927 (million)
% 65.44/19.08 % (102604)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1232388393:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2822 on theBenchmark for (2822ds/1016Mi)
% 65.44/19.08 % (102605)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3670910735:i=14123:bd=preordered:ins=4_2821 on theBenchmark for (2821ds/14123Mi)
% 65.44/19.08 % (102598)First to succeed.
% 65.44/19.08 % (102598)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-102509"
% 65.44/19.08 % (102604)Instruction limit reached!
% 65.44/19.08 % (102604)------------------------------
% 65.44/19.08 % (102604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.44/19.08 % (102604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.44/19.08 % (102604)CaDiCaL version: 2.1.3
% 65.44/19.08 % (102604)Termination reason: Instruction limit
% 65.44/19.08 % (102604)Termination phase: Saturation
% 65.44/19.08 % (102604)Time elapsed: 0.614 s
% 65.44/19.08 % (102604)Peak memory usage: 129 MB
% 65.44/19.08 % (102604)Instructions burned: 1017 (million)
% 65.44/19.08 % (102598)Refutation found. Thanks to Tanya!
% 65.44/19.08 % SZS status Theorem for theBenchmark
% 65.44/19.08 % SZS output start Proof for theBenchmark
% See solution above
% 129.35/19.33 % (102598)------------------------------
% 129.35/19.33 % (102598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.35/19.33 % (102598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.35/19.33 % (102598)CaDiCaL version: 2.1.3
% 129.35/19.33 % (102598)Termination reason: Refutation
% 129.35/19.33 % (102598)Time elapsed: 3.164 s
% 129.35/19.33 % (102598)Peak memory usage: 238 MB
% 129.35/19.33 % (102598)Instructions burned: 4806 (million)
% 129.35/19.33 % (102598)------------------------------
% 129.35/19.33 % (102598)------------------------------
% 129.35/19.33 % (102509)Success in time 18.672 s
% 129.35/19.33 % Vampire exiting
%------------------------------------------------------------------------------