%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG218+2 : 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 : n020.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 86.21s 12.96s
% Output : Refutation 86.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 55
% Syntax : Number of formulae : 262 ( 102 unt; 40 def)
% Number of atoms : 1018 ( 106 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 1264 ( 508 ~; 520 |; 172 &)
% ( 43 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 60 ( 58 usr; 35 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 158 ( 0 sgn 146 !; 12 ?)
% 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(f29,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
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(f1962,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f2183,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f2315,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f2321,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(f2743,axiom,
! [X0] :
( l2_vectsp_1(X0)
=> ( l1_vectsp_1(X0)
& l2_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(f2745,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(f2916,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(f3075,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(f3187,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(f3454,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(f3456,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(f3457,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)],[f3456]) ).
fof(f3481,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,[],[f3457]) ).
fof(f3482,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,[],[f3481]) ).
fof(f3541,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,[],[f2916]) ).
fof(f3542,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,[],[f3541]) ).
fof(f3569,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,[],[f3187]) ).
fof(f3570,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,[],[f3569]) ).
fof(f3573,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,[],[f3454]) ).
fof(f3574,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,[],[f3573]) ).
fof(f3665,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f3872,plain,
! [X0] :
( ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2745]) ).
fof(f3873,plain,
! [X0] :
( ( l1_vectsp_1(X0)
& l2_struct_0(X0) )
| ~ l2_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2743]) ).
fof(f3980,plain,
! [X0] :
( ! [X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f3075]) ).
fof(f4553,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f2321]) ).
fof(f4554,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f2315]) ).
fof(f4557,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f2183]) ).
fof(f4967,plain,
( k1_rmod_2(sK19,sK20) = k1_rmod_5(sK19,sK20,sK21)
& k1_xboole_0 != sK21
& sK21 != k7_rlvect_2(sK20,k1_rlvect_1(sK20))
& m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
& ~ v3_struct_0(sK20)
& v3_rlvect_1(sK20)
& v4_rlvect_1(sK20)
& v5_rlvect_1(sK20)
& v6_rlvect_1(sK20)
& v5_vectsp_2(sK20,sK19)
& l1_vectsp_2(sK20,sK19)
& ~ v3_struct_0(sK19)
& v3_rlvect_1(sK19)
& v4_rlvect_1(sK19)
& v5_rlvect_1(sK19)
& v6_rlvect_1(sK19)
& v4_group_1(sK19)
& v7_group_1(sK19)
& v6_vectsp_1(sK19)
& v7_vectsp_1(sK19)
& v8_vectsp_1(sK19)
& ~ v10_vectsp_1(sK19)
& v2_vectsp_2(sK19)
& l3_vectsp_1(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X0,sK19),skolemize(X1,sK20),skolemize(X2,sK21)],[f3482]) ).
fof(f4970,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f4971,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f4970]) ).
fof(f4972,plain,
! [X0] :
( ( X0 = k1_xboole_0
| r2_hidden(sK25(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X1,sK25(X0))],[f4971]) ).
fof(f4999,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,[],[f3570]) ).
fof(f5021,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(f5022,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,[],[f5021]) ).
fof(f5023,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,[],[f3665]) ).
fof(f5024,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,[],[f5023]) ).
fof(f5025,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK60(X0,X1),X1)
& r2_hidden(sK60(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X2,sK60(X0,X1))],[f5024]) ).
fof(f5140,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(f5141,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,[],[f5140]) ).
fof(f5142,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK138(X0,X1) != X0
| ~ r2_hidden(sK138(X0,X1),X1) )
& ( sK138(X0,X1) = X0
| r2_hidden(sK138(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,[sK138]),skolemize(X2,sK138(X0,X1))],[f5141]) ).
fof(f5427,plain,
l3_vectsp_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5428,plain,
v2_vectsp_2(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5429,plain,
~ v10_vectsp_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5430,plain,
v8_vectsp_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5431,plain,
v7_vectsp_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5432,plain,
v6_vectsp_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5433,plain,
v7_group_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5434,plain,
v4_group_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5435,plain,
v6_rlvect_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5436,plain,
v5_rlvect_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5437,plain,
v4_rlvect_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5438,plain,
v3_rlvect_1(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5439,plain,
~ v3_struct_0(sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5440,plain,
l1_vectsp_2(sK20,sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5441,plain,
v5_vectsp_2(sK20,sK19),
inference(cnf_transformation,[],[f4967]) ).
fof(f5442,plain,
v6_rlvect_1(sK20),
inference(cnf_transformation,[],[f4967]) ).
fof(f5443,plain,
v5_rlvect_1(sK20),
inference(cnf_transformation,[],[f4967]) ).
fof(f5444,plain,
v4_rlvect_1(sK20),
inference(cnf_transformation,[],[f4967]) ).
fof(f5445,plain,
v3_rlvect_1(sK20),
inference(cnf_transformation,[],[f4967]) ).
fof(f5446,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f4967]) ).
fof(f5447,plain,
m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f4967]) ).
fof(f5448,plain,
sK21 != k7_rlvect_2(sK20,k1_rlvect_1(sK20)),
inference(cnf_transformation,[],[f4967]) ).
fof(f5449,plain,
k1_xboole_0 != sK21,
inference(cnf_transformation,[],[f4967]) ).
fof(f5450,plain,
k1_rmod_2(sK19,sK20) = k1_rmod_5(sK19,sK20,sK21),
inference(cnf_transformation,[],[f4967]) ).
fof(f5476,plain,
! [X0] :
( k1_xboole_0 = X0
| r2_hidden(sK25(X0),X0) ),
inference(cnf_transformation,[],[f4972]) ).
fof(f5576,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,[],[f3542]) ).
fof(f5595,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,[],[f4999]) ).
fof(f5598,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,[],[f3574]) ).
fof(f5698,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| X0 = X1
| ~ r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f5022]) ).
fof(f5701,plain,
! [X0,X1] :
( r2_hidden(sK60(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f5025]) ).
fof(f5702,plain,
! [X0,X1] :
( ~ r2_hidden(sK60(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f5025]) ).
fof(f5978,plain,
! [X0] :
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3872]) ).
fof(f5981,plain,
! [X0] :
( ~ l2_vectsp_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f3873]) ).
fof(f6230,plain,
! [X3,X0,X1] :
( k1_tarski(X0) != X1
| ~ r2_hidden(X3,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f5142]) ).
fof(f6231,plain,
! [X3,X0,X1] :
( X0 != X3
| r2_hidden(X3,X1)
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f5142]) ).
fof(f6235,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1) ),
inference(cnf_transformation,[],[f3980]) ).
fof(f6656,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f1962]) ).
fof(f6833,plain,
! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f4553]) ).
fof(f6834,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f4554]) ).
fof(f6838,plain,
! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f4557]) ).
fof(f7310,plain,
np__0 != sK21,
inference(definition_unfolding,[],[f5449,f6656]) ).
fof(f7335,plain,
! [X0] :
( r2_hidden(sK25(X0),X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f5476,f6656]) ).
fof(f7565,definition,
sF282 = k1_rmod_2(sK19,sK20),
introduced(definition,[new_symbols(definition,[sF282])],[function_definition]) ).
fof(f7566,plain,
k1_rmod_2(sK19,sK20) = sF282,
inference(reorient_equations,[],[f7565]) ).
fof(f7567,definition,
sF283 = k1_rmod_5(sK19,sK20,sK21),
introduced(definition,[new_symbols(definition,[sF283])],[function_definition]) ).
fof(f7568,plain,
k1_rmod_5(sK19,sK20,sK21) = sF283,
inference(reorient_equations,[],[f7567]) ).
fof(f7569,plain,
sF282 = sF283,
inference(definition_folding,[],[f5450,f7568,f7566]) ).
fof(f7570,definition,
sF284 = k1_rlvect_1(sK20),
introduced(definition,[new_symbols(definition,[sF284])],[function_definition]) ).
fof(f7571,plain,
k1_rlvect_1(sK20) = sF284,
inference(reorient_equations,[],[f7570]) ).
fof(f7572,definition,
sF285 = k7_rlvect_2(sK20,sF284),
introduced(definition,[new_symbols(definition,[sF285])],[function_definition]) ).
fof(f7573,plain,
k7_rlvect_2(sK20,sF284) = sF285,
inference(reorient_equations,[],[f7572]) ).
fof(f7574,plain,
sK21 != sF285,
inference(definition_folding,[],[f5448,f7573,f7571]) ).
fof(f7575,definition,
sF286 = u1_struct_0(sK20),
introduced(definition,[new_symbols(definition,[sF286])],[function_definition]) ).
fof(f7576,plain,
u1_struct_0(sK20) = sF286,
inference(reorient_equations,[],[f7575]) ).
fof(f7577,definition,
sF287 = k1_zfmisc_1(sF286),
introduced(definition,[new_symbols(definition,[sF287])],[function_definition]) ).
fof(f7578,plain,
k1_zfmisc_1(sF286) = sF287,
inference(reorient_equations,[],[f7577]) ).
fof(f7579,plain,
m1_subset_1(sK21,sF287),
inference(definition_folding,[],[f5447,f7578,f7576]) ).
fof(f7587,definition,
( spl288_1
<=> v6_rlvect_1(sK20) ),
introduced(definition,[new_symbols(definition,[spl288_1])],[avatar_definition]) ).
fof(f7591,definition,
( spl288_2
<=> v5_rlvect_1(sK20) ),
introduced(definition,[new_symbols(definition,[spl288_2])],[avatar_definition]) ).
fof(f7595,definition,
( spl288_3
<=> v4_rlvect_1(sK20) ),
introduced(definition,[new_symbols(definition,[spl288_3])],[avatar_definition]) ).
fof(f7599,definition,
( spl288_4
<=> v3_rlvect_1(sK20) ),
introduced(definition,[new_symbols(definition,[spl288_4])],[avatar_definition]) ).
fof(f7603,definition,
( spl288_5
<=> v3_struct_0(sK20) ),
introduced(definition,[new_symbols(definition,[spl288_5])],[avatar_definition]) ).
fof(f7618,definition,
( spl288_8
<=> l3_vectsp_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_8])],[avatar_definition]) ).
fof(f7619,plain,
( l3_vectsp_1(sK19)
| ~ spl288_8 ),
inference(avatar_component_clause,[],[f7618]) ).
fof(f7622,definition,
( spl288_9
<=> v8_vectsp_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_9])],[avatar_definition]) ).
fof(f7626,definition,
( spl288_10
<=> v7_vectsp_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_10])],[avatar_definition]) ).
fof(f7630,definition,
( spl288_11
<=> v6_vectsp_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_11])],[avatar_definition]) ).
fof(f7634,definition,
( spl288_12
<=> v4_group_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_12])],[avatar_definition]) ).
fof(f7638,definition,
( spl288_13
<=> v6_rlvect_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_13])],[avatar_definition]) ).
fof(f7642,definition,
( spl288_14
<=> v5_rlvect_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_14])],[avatar_definition]) ).
fof(f7646,definition,
( spl288_15
<=> v4_rlvect_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_15])],[avatar_definition]) ).
fof(f7650,definition,
( spl288_16
<=> v3_rlvect_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_16])],[avatar_definition]) ).
fof(f7654,definition,
( spl288_17
<=> v3_struct_0(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_17])],[avatar_definition]) ).
fof(f7658,definition,
( spl288_18
<=> l1_vectsp_2(sK20,sK19) ),
introduced(definition,[new_symbols(definition,[spl288_18])],[avatar_definition]) ).
fof(f7659,plain,
( l1_vectsp_2(sK20,sK19)
| ~ spl288_18 ),
inference(avatar_component_clause,[],[f7658]) ).
fof(f7662,definition,
( spl288_19
<=> v5_vectsp_2(sK20,sK19) ),
introduced(definition,[new_symbols(definition,[spl288_19])],[avatar_definition]) ).
fof(f7671,plain,
! [X0] :
( ~ r1_rlvect_1(sF282,X0)
| k1_rlvect_1(sK20) = X0
| v3_struct_0(sK20)
| ~ v3_rlvect_1(sK20)
| ~ v4_rlvect_1(sK20)
| ~ v5_rlvect_1(sK20)
| ~ v6_rlvect_1(sK20)
| ~ v5_vectsp_2(sK20,sK19)
| ~ l1_vectsp_2(sK20,sK19)
| v3_struct_0(sK19)
| ~ v3_rlvect_1(sK19)
| ~ v4_rlvect_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v6_rlvect_1(sK19)
| ~ v4_group_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v8_vectsp_1(sK19)
| ~ l3_vectsp_1(sK19) ),
inference(superposition,[],[f5595,f7566]) ).
fof(f7673,plain,
! [X0] :
( sF284 = X0
| ~ r1_rlvect_1(sF282,X0)
| v3_struct_0(sK20)
| ~ v3_rlvect_1(sK20)
| ~ v4_rlvect_1(sK20)
| ~ v5_rlvect_1(sK20)
| ~ v6_rlvect_1(sK20)
| ~ v5_vectsp_2(sK20,sK19)
| ~ l1_vectsp_2(sK20,sK19)
| v3_struct_0(sK19)
| ~ v3_rlvect_1(sK19)
| ~ v4_rlvect_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v6_rlvect_1(sK19)
| ~ v4_group_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v8_vectsp_1(sK19)
| ~ l3_vectsp_1(sK19) ),
inference(forward_demodulation,[],[f7671,f7571]) ).
fof(f7675,definition,
( spl288_21
<=> ! [X0] :
( sF284 = X0
| ~ r1_rlvect_1(sF282,X0) ) ),
introduced(definition,[new_symbols(definition,[spl288_21])],[avatar_definition]) ).
fof(f7676,plain,
( ! [X0] :
( ~ r1_rlvect_1(sF282,X0)
| sF284 = X0 )
| ~ spl288_21 ),
inference(avatar_component_clause,[],[f7675]) ).
fof(f7677,plain,
( ~ spl288_8
| ~ spl288_9
| ~ spl288_10
| ~ spl288_11
| ~ spl288_12
| ~ spl288_13
| ~ spl288_14
| ~ spl288_15
| ~ spl288_16
| spl288_17
| ~ spl288_18
| ~ spl288_19
| ~ spl288_1
| ~ spl288_2
| ~ spl288_3
| ~ spl288_4
| spl288_5
| spl288_21 ),
inference(avatar_split_clause,[],[f7673,f7675,f7603,f7599,f7595,f7591,f7587,f7662,f7658,f7654,f7650,f7646,f7642,f7638,f7634,f7630,f7626,f7622,f7618]) ).
fof(f7683,definition,
( spl288_22
<=> v2_vectsp_2(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_22])],[avatar_definition]) ).
fof(f7687,definition,
( spl288_23
<=> v10_vectsp_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_23])],[avatar_definition]) ).
fof(f7691,definition,
( spl288_24
<=> v7_group_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl288_24])],[avatar_definition]) ).
fof(f7699,definition,
( spl288_26
<=> m1_subset_1(sK21,sF287) ),
introduced(definition,[new_symbols(definition,[spl288_26])],[avatar_definition]) ).
fof(f7712,plain,
( m1_subset_1(sF284,u1_struct_0(sK20))
| ~ l2_struct_0(sK20) ),
inference(superposition,[],[f6833,f7571]) ).
fof(f7715,plain,
( m1_subset_1(sF284,sF286)
| ~ l2_struct_0(sK20) ),
inference(forward_demodulation,[],[f7712,f7576]) ).
fof(f7717,definition,
( spl288_28
<=> l2_struct_0(sK20) ),
introduced(definition,[new_symbols(definition,[spl288_28])],[avatar_definition]) ).
fof(f7718,plain,
( l2_struct_0(sK20)
| ~ spl288_28 ),
inference(avatar_component_clause,[],[f7717]) ).
fof(f7721,definition,
( spl288_29
<=> m1_subset_1(sF284,sF286) ),
introduced(definition,[new_symbols(definition,[spl288_29])],[avatar_definition]) ).
fof(f7725,plain,
( ~ spl288_28
| spl288_29 ),
inference(avatar_split_clause,[],[f7715,f7721,f7717]) ).
fof(f7726,plain,
! [X0] :
( r1_rlvect_1(sF283,X0)
| ~ r2_hidden(X0,sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v3_rlvect_1(sK20)
| ~ v4_rlvect_1(sK20)
| ~ v5_rlvect_1(sK20)
| ~ v6_rlvect_1(sK20)
| ~ v5_vectsp_2(sK20,sK19)
| ~ l1_vectsp_2(sK20,sK19)
| v3_struct_0(sK19)
| ~ v3_rlvect_1(sK19)
| ~ v4_rlvect_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v6_rlvect_1(sK19)
| ~ v4_group_1(sK19)
| ~ v7_group_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v8_vectsp_1(sK19)
| v10_vectsp_1(sK19)
| ~ v2_vectsp_2(sK19)
| ~ l3_vectsp_1(sK19) ),
inference(superposition,[],[f5598,f7568]) ).
fof(f7727,plain,
! [X0] :
( r1_rlvect_1(sF282,X0)
| ~ r2_hidden(X0,sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v3_rlvect_1(sK20)
| ~ v4_rlvect_1(sK20)
| ~ v5_rlvect_1(sK20)
| ~ v6_rlvect_1(sK20)
| ~ v5_vectsp_2(sK20,sK19)
| ~ l1_vectsp_2(sK20,sK19)
| v3_struct_0(sK19)
| ~ v3_rlvect_1(sK19)
| ~ v4_rlvect_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v6_rlvect_1(sK19)
| ~ v4_group_1(sK19)
| ~ v7_group_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v8_vectsp_1(sK19)
| v10_vectsp_1(sK19)
| ~ v2_vectsp_2(sK19)
| ~ l3_vectsp_1(sK19) ),
inference(forward_demodulation,[],[f7726,f7569]) ).
fof(f7728,plain,
! [X0] :
( ~ m1_subset_1(sK21,k1_zfmisc_1(sF286))
| r1_rlvect_1(sF282,X0)
| ~ r2_hidden(X0,sK21)
| v3_struct_0(sK20)
| ~ v3_rlvect_1(sK20)
| ~ v4_rlvect_1(sK20)
| ~ v5_rlvect_1(sK20)
| ~ v6_rlvect_1(sK20)
| ~ v5_vectsp_2(sK20,sK19)
| ~ l1_vectsp_2(sK20,sK19)
| v3_struct_0(sK19)
| ~ v3_rlvect_1(sK19)
| ~ v4_rlvect_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v6_rlvect_1(sK19)
| ~ v4_group_1(sK19)
| ~ v7_group_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v8_vectsp_1(sK19)
| v10_vectsp_1(sK19)
| ~ v2_vectsp_2(sK19)
| ~ l3_vectsp_1(sK19) ),
inference(forward_demodulation,[],[f7727,f7576]) ).
fof(f7729,plain,
! [X0] :
( ~ m1_subset_1(sK21,sF287)
| r1_rlvect_1(sF282,X0)
| ~ r2_hidden(X0,sK21)
| v3_struct_0(sK20)
| ~ v3_rlvect_1(sK20)
| ~ v4_rlvect_1(sK20)
| ~ v5_rlvect_1(sK20)
| ~ v6_rlvect_1(sK20)
| ~ v5_vectsp_2(sK20,sK19)
| ~ l1_vectsp_2(sK20,sK19)
| v3_struct_0(sK19)
| ~ v3_rlvect_1(sK19)
| ~ v4_rlvect_1(sK19)
| ~ v5_rlvect_1(sK19)
| ~ v6_rlvect_1(sK19)
| ~ v4_group_1(sK19)
| ~ v7_group_1(sK19)
| ~ v6_vectsp_1(sK19)
| ~ v7_vectsp_1(sK19)
| ~ v8_vectsp_1(sK19)
| v10_vectsp_1(sK19)
| ~ v2_vectsp_2(sK19)
| ~ l3_vectsp_1(sK19) ),
inference(forward_demodulation,[],[f7728,f7578]) ).
fof(f7731,definition,
( spl288_30
<=> ! [X0] :
( r1_rlvect_1(sF282,X0)
| ~ r2_hidden(X0,sK21) ) ),
introduced(definition,[new_symbols(definition,[spl288_30])],[avatar_definition]) ).
fof(f7732,plain,
( ! [X0] :
( r1_rlvect_1(sF282,X0)
| ~ r2_hidden(X0,sK21) )
| ~ spl288_30 ),
inference(avatar_component_clause,[],[f7731]) ).
fof(f7733,plain,
( ~ spl288_8
| ~ spl288_22
| spl288_23
| ~ spl288_9
| ~ spl288_10
| ~ spl288_11
| ~ spl288_24
| ~ spl288_12
| ~ spl288_13
| ~ spl288_14
| ~ spl288_15
| ~ spl288_16
| spl288_17
| ~ spl288_18
| ~ spl288_19
| ~ spl288_1
| ~ spl288_2
| ~ spl288_3
| ~ spl288_4
| spl288_5
| spl288_30
| ~ spl288_26 ),
inference(avatar_split_clause,[],[f7729,f7699,f7731,f7603,f7599,f7595,f7591,f7587,f7662,f7658,f7654,f7650,f7646,f7642,f7638,f7634,f7691,f7630,f7626,f7622,f7687,f7683,f7618]) ).
fof(f7744,definition,
( spl288_31
<=> l1_struct_0(sK20) ),
introduced(definition,[new_symbols(definition,[spl288_31])],[avatar_definition]) ).
fof(f7760,plain,
spl288_1,
inference(avatar_split_clause,[],[f5442,f7587]) ).
fof(f7763,plain,
spl288_2,
inference(avatar_split_clause,[],[f5443,f7591]) ).
fof(f7766,plain,
spl288_3,
inference(avatar_split_clause,[],[f5444,f7595]) ).
fof(f7769,plain,
spl288_4,
inference(avatar_split_clause,[],[f5445,f7599]) ).
fof(f7772,plain,
~ spl288_5,
inference(avatar_split_clause,[],[f5446,f7603]) ).
fof(f7848,plain,
spl288_8,
inference(avatar_split_clause,[],[f5427,f7618]) ).
fof(f7851,plain,
spl288_9,
inference(avatar_split_clause,[],[f5430,f7622]) ).
fof(f7865,plain,
spl288_10,
inference(avatar_split_clause,[],[f5431,f7626]) ).
fof(f7872,plain,
spl288_11,
inference(avatar_split_clause,[],[f5432,f7630]) ).
fof(f7875,plain,
spl288_12,
inference(avatar_split_clause,[],[f5434,f7634]) ).
fof(f7890,plain,
( sF285 = k1_tarski(sF284)
| v3_struct_0(sK20)
| ~ l1_struct_0(sK20)
| ~ m1_subset_1(sF284,u1_struct_0(sK20)) ),
inference(superposition,[],[f5576,f7573]) ).
fof(f7895,plain,
( ~ m1_subset_1(sF284,sF286)
| sF285 = k1_tarski(sF284)
| v3_struct_0(sK20)
| ~ l1_struct_0(sK20) ),
inference(forward_demodulation,[],[f7890,f7576]) ).
fof(f7897,definition,
( spl288_41
<=> sF285 = k1_tarski(sF284) ),
introduced(definition,[new_symbols(definition,[spl288_41])],[avatar_definition]) ).
fof(f7899,plain,
( sF285 = k1_tarski(sF284)
| ~ spl288_41 ),
inference(avatar_component_clause,[],[f7897]) ).
fof(f7901,plain,
( ~ spl288_31
| spl288_5
| spl288_41
| ~ spl288_29 ),
inference(avatar_split_clause,[],[f7895,f7721,f7897,f7603,f7744]) ).
fof(f7911,plain,
spl288_13,
inference(avatar_split_clause,[],[f5435,f7638]) ).
fof(f7914,plain,
spl288_14,
inference(avatar_split_clause,[],[f5436,f7642]) ).
fof(f7917,plain,
spl288_15,
inference(avatar_split_clause,[],[f5437,f7646]) ).
fof(f7920,plain,
spl288_16,
inference(avatar_split_clause,[],[f5438,f7650]) ).
fof(f8042,plain,
~ spl288_17,
inference(avatar_split_clause,[],[f5439,f7654]) ).
fof(f8051,plain,
spl288_18,
inference(avatar_split_clause,[],[f5440,f7658]) ).
fof(f8054,plain,
spl288_19,
inference(avatar_split_clause,[],[f5441,f7662]) ).
fof(f8058,plain,
spl288_22,
inference(avatar_split_clause,[],[f5428,f7683]) ).
fof(f8061,plain,
spl288_24,
inference(avatar_split_clause,[],[f5433,f7691]) ).
fof(f8064,plain,
spl288_26,
inference(avatar_split_clause,[],[f7579,f7699]) ).
fof(f8067,plain,
~ spl288_23,
inference(avatar_split_clause,[],[f5429,f7687]) ).
fof(f8068,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK21)
| sF284 = X0 )
| ~ spl288_21
| ~ spl288_30 ),
inference(resolution,[],[f7732,f7676]) ).
fof(f8256,definition,
( spl288_73
<=> l1_rlvect_1(sK20) ),
introduced(definition,[new_symbols(definition,[spl288_73])],[avatar_definition]) ).
fof(f8257,plain,
( l1_rlvect_1(sK20)
| ~ spl288_73 ),
inference(avatar_component_clause,[],[f8256]) ).
fof(f8555,definition,
( spl288_103
<=> np__0 = sK21 ),
introduced(definition,[new_symbols(definition,[spl288_103])],[avatar_definition]) ).
fof(f8668,definition,
( spl288_119
<=> r2_hidden(sF284,sK21) ),
introduced(definition,[new_symbols(definition,[spl288_119])],[avatar_definition]) ).
fof(f8670,plain,
( r2_hidden(sF284,sK21)
| ~ spl288_119 ),
inference(avatar_component_clause,[],[f8668]) ).
fof(f8680,plain,
~ spl288_103,
inference(avatar_split_clause,[],[f7310,f8555]) ).
fof(f8721,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| l2_struct_0(X0) ),
inference(resolution,[],[f5981,f5978]) ).
fof(f8722,plain,
( l2_struct_0(sK19)
| ~ spl288_8 ),
inference(resolution,[],[f8721,f7619]) ).
fof(f8765,plain,
( l1_struct_0(sK19)
| ~ spl288_8 ),
inference(resolution,[],[f6838,f8722]) ).
fof(f8997,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_tarski(X1))
| X0 = X1 ),
inference(equality_resolution,[],[f6230]) ).
fof(f9467,plain,
( ! [X0] :
( sF284 = sK60(sK21,X0)
| r1_tarski(sK21,X0) )
| ~ spl288_21
| ~ spl288_30 ),
inference(resolution,[],[f5701,f8068]) ).
fof(f9471,plain,
( ! [X0] :
( ~ r2_hidden(sF284,X0)
| r1_tarski(sK21,X0)
| r1_tarski(sK21,X0) )
| ~ spl288_21
| ~ spl288_30 ),
inference(superposition,[],[f5702,f9467]) ).
fof(f9472,plain,
( ! [X0] :
( ~ r2_hidden(sF284,X0)
| r1_tarski(sK21,X0) )
| ~ spl288_21
| ~ spl288_30 ),
inference(duplicate_literal_removal,[],[f9471]) ).
fof(f9557,plain,
( np__0 = sK21
| sF284 = sK25(sK21)
| ~ spl288_21
| ~ spl288_30 ),
inference(resolution,[],[f7335,f8068]) ).
fof(f9565,definition,
( spl288_240
<=> sF284 = sK25(sK21) ),
introduced(definition,[new_symbols(definition,[spl288_240])],[avatar_definition]) ).
fof(f9567,plain,
( sF284 = sK25(sK21)
| ~ spl288_240 ),
inference(avatar_component_clause,[],[f9565]) ).
fof(f9568,plain,
( spl288_240
| spl288_103
| ~ spl288_21
| ~ spl288_30 ),
inference(avatar_split_clause,[],[f9557,f7731,f7675,f8555,f9565]) ).
fof(f9578,plain,
( r2_hidden(sF284,sK21)
| np__0 = sK21
| ~ spl288_240 ),
inference(superposition,[],[f7335,f9567]) ).
fof(f9729,plain,
( ! [X0] :
( ~ l1_vectsp_2(X0,sK19)
| l1_rlvect_1(X0) )
| ~ spl288_8 ),
inference(resolution,[],[f6235,f8765]) ).
fof(f9730,plain,
( l1_rlvect_1(sK20)
| ~ spl288_8
| ~ spl288_18 ),
inference(resolution,[],[f9729,f7659]) ).
fof(f9736,plain,
( spl288_73
| ~ spl288_8
| ~ spl288_18 ),
inference(avatar_split_clause,[],[f9730,f7658,f7618,f8256]) ).
fof(f9737,plain,
( l2_struct_0(sK20)
| ~ spl288_73 ),
inference(resolution,[],[f8257,f6834]) ).
fof(f9738,plain,
( spl288_28
| ~ spl288_73 ),
inference(avatar_split_clause,[],[f9737,f8256,f7717]) ).
fof(f9739,plain,
( l1_struct_0(sK20)
| ~ spl288_28 ),
inference(resolution,[],[f7718,f6838]) ).
fof(f9740,plain,
( spl288_31
| ~ spl288_28 ),
inference(avatar_split_clause,[],[f9739,f7717,f7744]) ).
fof(f9745,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF285)
| sF284 = X0 )
| ~ spl288_41 ),
inference(superposition,[],[f8997,f7899]) ).
fof(f9787,plain,
( ! [X0] :
( sF284 = sK60(sF285,X0)
| r1_tarski(sF285,X0) )
| ~ spl288_41 ),
inference(resolution,[],[f9745,f5701]) ).
fof(f9806,plain,
( ! [X0] :
( ~ r2_hidden(sF284,X0)
| r1_tarski(sF285,X0)
| r1_tarski(sF285,X0) )
| ~ spl288_41 ),
inference(superposition,[],[f5702,f9787]) ).
fof(f9807,plain,
( ! [X0] :
( ~ r2_hidden(sF284,X0)
| r1_tarski(sF285,X0) )
| ~ spl288_41 ),
inference(duplicate_literal_removal,[],[f9806]) ).
fof(f9813,definition,
( spl288_271
<=> r2_hidden(sF284,sF285) ),
introduced(definition,[new_symbols(definition,[spl288_271])],[avatar_definition]) ).
fof(f9815,plain,
( r2_hidden(sF284,sF285)
| ~ spl288_271 ),
inference(avatar_component_clause,[],[f9813]) ).
fof(f9817,plain,
( r1_tarski(sK21,sF285)
| ~ spl288_21
| ~ spl288_30
| ~ spl288_271 ),
inference(resolution,[],[f9815,f9472]) ).
fof(f9822,plain,
( sK21 = sF285
| ~ r1_tarski(sF285,sK21)
| ~ spl288_21
| ~ spl288_30
| ~ spl288_271 ),
inference(resolution,[],[f9817,f5698]) ).
fof(f9825,definition,
( spl288_272
<=> r1_tarski(sF285,sK21) ),
introduced(definition,[new_symbols(definition,[spl288_272])],[avatar_definition]) ).
fof(f9829,definition,
( spl288_273
<=> sK21 = sF285 ),
introduced(definition,[new_symbols(definition,[spl288_273])],[avatar_definition]) ).
fof(f9833,plain,
( r1_tarski(sF285,sK21)
| ~ spl288_41
| ~ spl288_119 ),
inference(resolution,[],[f9807,f8670]) ).
fof(f9837,plain,
( spl288_272
| ~ spl288_41
| ~ spl288_119 ),
inference(avatar_split_clause,[],[f9833,f8668,f7897,f9825]) ).
fof(f9846,plain,
~ spl288_273,
inference(avatar_split_clause,[],[f7574,f9829]) ).
fof(f13453,plain,
! [X0,X1] :
( k1_tarski(X0) != X1
| r2_hidden(X0,X1) ),
inference(equality_resolution,[],[f6231]) ).
fof(f13456,plain,
! [X0] : r2_hidden(X0,k1_tarski(X0)),
inference(equality_resolution,[],[f13453]) ).
fof(f13466,plain,
( r2_hidden(sF284,sF285)
| ~ spl288_41 ),
inference(superposition,[],[f13456,f7899]) ).
fof(f13482,plain,
( ~ spl288_272
| spl288_273
| ~ spl288_21
| ~ spl288_30
| ~ spl288_271 ),
inference(avatar_split_clause,[],[f9822,f9813,f7731,f7675,f9829,f9825]) ).
fof(f13500,plain,
( spl288_271
| ~ spl288_41 ),
inference(avatar_split_clause,[],[f13466,f7897,f9813]) ).
fof(f13506,plain,
( spl288_103
| spl288_119
| ~ spl288_240 ),
inference(avatar_split_clause,[],[f9578,f9565,f8668,f8555]) ).
cnf(s4,plain,
( ~ spl288_1
| ~ spl288_2
| ~ spl288_3
| ~ spl288_4
| spl288_5
| ~ spl288_8
| ~ spl288_9
| ~ spl288_10
| ~ spl288_11
| ~ spl288_12
| ~ spl288_13
| ~ spl288_14
| ~ spl288_15
| ~ spl288_16
| spl288_17
| ~ spl288_18
| ~ spl288_19
| spl288_21 ),
inference(sat_conversion,[],[f7677]) ).
cnf(s8,plain,
( ~ spl288_28
| spl288_29 ),
inference(sat_conversion,[],[f7725]) ).
cnf(s9,plain,
( ~ spl288_1
| ~ spl288_2
| ~ spl288_3
| ~ spl288_4
| spl288_5
| ~ spl288_8
| ~ spl288_9
| ~ spl288_10
| ~ spl288_11
| ~ spl288_12
| ~ spl288_13
| ~ spl288_14
| ~ spl288_15
| ~ spl288_16
| spl288_17
| ~ spl288_18
| ~ spl288_19
| ~ spl288_22
| spl288_23
| ~ spl288_24
| ~ spl288_26
| spl288_30 ),
inference(sat_conversion,[],[f7733]) ).
cnf(s13,plain,
spl288_1,
inference(sat_conversion,[],[f7760]) ).
cnf(s15,plain,
spl288_2,
inference(sat_conversion,[],[f7763]) ).
cnf(s17,plain,
spl288_3,
inference(sat_conversion,[],[f7766]) ).
cnf(s19,plain,
spl288_4,
inference(sat_conversion,[],[f7769]) ).
cnf(s21,plain,
~ spl288_5,
inference(sat_conversion,[],[f7772]) ).
cnf(s34,plain,
spl288_8,
inference(sat_conversion,[],[f7848]) ).
cnf(s36,plain,
spl288_9,
inference(sat_conversion,[],[f7851]) ).
cnf(s39,plain,
spl288_10,
inference(sat_conversion,[],[f7865]) ).
cnf(s41,plain,
spl288_11,
inference(sat_conversion,[],[f7872]) ).
cnf(s43,plain,
spl288_12,
inference(sat_conversion,[],[f7875]) ).
cnf(s45,plain,
( spl288_5
| ~ spl288_29
| ~ spl288_31
| spl288_41 ),
inference(sat_conversion,[],[f7901]) ).
cnf(s48,plain,
spl288_13,
inference(sat_conversion,[],[f7911]) ).
cnf(s50,plain,
spl288_14,
inference(sat_conversion,[],[f7914]) ).
cnf(s52,plain,
spl288_15,
inference(sat_conversion,[],[f7917]) ).
cnf(s54,plain,
spl288_16,
inference(sat_conversion,[],[f7920]) ).
cnf(s67,plain,
~ spl288_17,
inference(sat_conversion,[],[f8042]) ).
cnf(s70,plain,
spl288_18,
inference(sat_conversion,[],[f8051]) ).
cnf(s72,plain,
spl288_19,
inference(sat_conversion,[],[f8054]) ).
cnf(s74,plain,
spl288_22,
inference(sat_conversion,[],[f8058]) ).
cnf(s76,plain,
spl288_24,
inference(sat_conversion,[],[f8061]) ).
cnf(s78,plain,
spl288_26,
inference(sat_conversion,[],[f8064]) ).
cnf(s80,plain,
~ spl288_23,
inference(sat_conversion,[],[f8067]) ).
cnf(s145,plain,
~ spl288_103,
inference(sat_conversion,[],[f8680]) ).
cnf(s256,plain,
( ~ spl288_21
| ~ spl288_30
| spl288_103
| spl288_240 ),
inference(sat_conversion,[],[f9568]) ).
cnf(s277,plain,
( ~ spl288_8
| ~ spl288_18
| spl288_73 ),
inference(sat_conversion,[],[f9736]) ).
cnf(s278,plain,
( spl288_28
| ~ spl288_73 ),
inference(sat_conversion,[],[f9738]) ).
cnf(s279,plain,
( ~ spl288_28
| spl288_31 ),
inference(sat_conversion,[],[f9740]) ).
cnf(s291,plain,
( ~ spl288_41
| ~ spl288_119
| spl288_272 ),
inference(sat_conversion,[],[f9837]) ).
cnf(s293,plain,
~ spl288_273,
inference(sat_conversion,[],[f9846]) ).
cnf(s801,plain,
( ~ spl288_21
| ~ spl288_30
| ~ spl288_271
| ~ spl288_272
| spl288_273 ),
inference(sat_conversion,[],[f13482]) ).
cnf(s807,plain,
( ~ spl288_41
| spl288_271 ),
inference(sat_conversion,[],[f13500]) ).
cnf(s809,plain,
( spl288_103
| spl288_119
| ~ spl288_240 ),
inference(sat_conversion,[],[f13506]) ).
cnf(s901,plain,
spl288_73,
inference(rat,[],[s277,s70,s34]) ).
cnf(s983,plain,
spl288_28,
inference(rat,[],[s278,s901]) ).
cnf(s991,plain,
spl288_31,
inference(rat,[],[s279,s983]) ).
cnf(s1267,plain,
spl288_30,
inference(rat,[],[s9,s78,s76,s80,s74,s72,s70,s67,s54,s52,s50,s48,s43,s41,s39,s36,s34,s21,s19,s17,s15,s13]) ).
cnf(s1268,plain,
spl288_29,
inference(rat,[],[s8,s983]) ).
cnf(s1274,plain,
spl288_41,
inference(rat,[],[s45,s21,s991,s1268]) ).
cnf(s1279,plain,
spl288_271,
inference(rat,[],[s807,s1274]) ).
cnf(s1282,plain,
spl288_21,
inference(rat,[],[s4,s72,s70,s67,s54,s52,s50,s48,s43,s41,s39,s36,s34,s21,s19,s17,s15,s13]) ).
cnf(s1283,plain,
~ spl288_272,
inference(rat,[],[s801,s293,s1279,s1267,s1282]) ).
cnf(s1288,plain,
spl288_240,
inference(rat,[],[s256,s1267,s145,s1282]) ).
cnf(s1302,plain,
~ spl288_119,
inference(rat,[],[s291,s1274,s1283]) ).
cnf(s1306,plain,
$false,
inference(rat,[],[s809,s145,s1288,s1302]) ).
fof(f13531,plain,
$false,
inference(avatar_sat_refutation,[],[s1306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG218+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:47:05 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 12.10/2.54 % (470341)Detected formulas, will run a generic FOF schedule.
% 12.10/2.54 % (470350)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1964696242:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.10/2.54 % (470346)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=2384039390:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.10/2.54 % (470349)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1502182912:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.10/2.54 % (470351)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3467468084:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.10/2.54 % (470348)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=178128954:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.10/2.54 % (470352)dis-21_1_sil=8000:lcm=predicate:random_seed=3228100143:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.10/2.54 % (470347)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=1792610649:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.10/2.54 % (470350)Instruction limit reached!
% 12.10/2.54 % (470350)------------------------------
% 12.10/2.54 % (470350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/2.54 % (470350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.54 % (470350)CaDiCaL version: 2.1.3
% 12.10/2.54 % (470350)Termination reason: Instruction limit
% 12.10/2.54 % (470350)Termination phase: Saturation
% 12.10/2.54 % (470350)Time elapsed: 0.040 s
% 12.10/2.54 % (470350)Peak memory usage: 94 MB
% 12.10/2.54 % (470350)Instructions burned: 123 (million)
% 12.10/2.54 % (470349)Instruction limit reached!
% 12.10/2.54 % (470349)------------------------------
% 12.10/2.54 % (470349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/2.54 % (470349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.54 % (470349)CaDiCaL version: 2.1.3
% 12.10/2.54 % (470349)Termination reason: Instruction limit
% 12.10/2.54 % (470349)Termination phase: Saturation
% 12.10/2.54 % (470349)Time elapsed: 0.059 s
% 12.10/2.54 % (470349)Peak memory usage: 93 MB
% 12.10/2.54 % (470349)Instructions burned: 110 (million)
% 12.10/2.54 % (470352)Instruction limit reached!
% 12.10/2.54 % (470352)------------------------------
% 12.10/2.54 % (470352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/2.54 % (470352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.54 % (470352)CaDiCaL version: 2.1.3
% 12.10/2.54 % (470352)Termination reason: Instruction limit
% 12.10/2.54 % (470352)Termination phase: Property scanning
% 12.10/2.54 % (470352)Time elapsed: 0.086 s
% 12.10/2.54 % (470352)Peak memory usage: 94 MB
% 12.10/2.54 % (470352)Instructions burned: 129 (million)
% 12.10/2.54 % (470351)Instruction limit reached!
% 12.10/2.54 % (470351)------------------------------
% 12.10/2.54 % (470351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/2.54 % (470351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.54 % (470351)CaDiCaL version: 2.1.3
% 12.10/2.54 % (470351)Termination reason: Instruction limit
% 12.10/2.54 % (470351)Termination phase: Preprocessing 3
% 12.10/2.54 % (470351)Time elapsed: 0.092 s
% 12.10/2.54 % (470351)Peak memory usage: 94 MB
% 12.10/2.54 % (470351)Instructions burned: 140 (million)
% 12.10/2.54 % (470360)lrs+10_1_sil=8000:sp=occurrence:random_seed=1704751220:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.10/2.54 % (470360)Instruction limit reached!
% 12.10/2.54 % (470360)------------------------------
% 12.10/2.54 % (470360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/2.54 % (470360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/2.54 % (470360)CaDiCaL version: 2.1.3
% 12.10/2.54 % (470360)Termination reason: Instruction limit
% 12.10/2.54 % (470360)Termination phase: Saturation
% 12.10/2.54 % (470360)Time elapsed: 0.092 s
% 12.10/2.54 % (470360)Peak memory usage: 97 MB
% 12.10/2.54 % (470360)Instructions burned: 286 (million)
% 12.10/2.54 % (470361)lrs+10_1_sil=32000:urr=on:br=off:random_seed=339619294:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 18.79/3.41 % (470363)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=3508881353:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.79/3.41 % (470362)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2345550785:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.79/3.41 % (470361)Instruction limit reached!
% 18.79/3.41 % (470361)------------------------------
% 18.79/3.41 % (470361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.79/3.41 % (470361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/3.41 % (470361)CaDiCaL version: 2.1.3
% 18.79/3.41 % (470361)Termination reason: Instruction limit
% 18.79/3.41 % (470361)Termination phase: Saturation
% 18.79/3.41 % (470361)Time elapsed: 0.087 s
% 18.79/3.41 % (470361)Peak memory usage: 94 MB
% 18.79/3.41 % (470361)Instructions burned: 158 (million)
% 18.79/3.41 % (470366)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3025863927:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.79/3.41 % (470363)Instruction limit reached!
% 18.79/3.41 % (470363)------------------------------
% 18.79/3.41 % (470363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.79/3.41 % (470363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/3.41 % (470363)CaDiCaL version: 2.1.3
% 18.79/3.41 % (470363)Termination reason: Instruction limit
% 18.79/3.41 % (470363)Termination phase: Function definition elimination
% 18.79/3.41 % (470363)Time elapsed: 0.134 s
% 18.79/3.41 % (470363)Peak memory usage: 96 MB
% 18.79/3.41 % (470363)Instructions burned: 249 (million)
% 18.79/3.41 % (470366)Instruction limit reached!
% 18.79/3.41 % (470366)------------------------------
% 18.79/3.41 % (470366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.79/3.41 % (470366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/3.41 % (470366)CaDiCaL version: 2.1.3
% 18.79/3.41 % (470366)Termination reason: Instruction limit
% 18.79/3.41 % (470366)Termination phase: Saturation
% 18.79/3.41 % (470366)Time elapsed: 0.087 s
% 18.79/3.41 % (470366)Peak memory usage: 98 MB
% 18.79/3.41 % (470366)Instructions burned: 298 (million)
% 18.79/3.41 % (470362)Instruction limit reached!
% 18.79/3.41 % (470362)------------------------------
% 18.79/3.41 % (470362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.79/3.41 % (470362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/3.41 % (470362)CaDiCaL version: 2.1.3
% 18.79/3.41 % (470362)Termination reason: Instruction limit
% 18.79/3.41 % (470362)Termination phase: Saturation
% 18.79/3.41 % (470362)Time elapsed: 0.205 s
% 18.79/3.41 % (470362)Peak memory usage: 95 MB
% 18.79/3.41 % (470362)Instructions burned: 326 (million)
% 18.79/3.41 % (470369)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=998179982:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.79/3.41 % (470371)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4260831107:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 18.79/3.41 % (470372)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2010916488:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 18.79/3.41 % (470371)Instruction limit reached!
% 18.79/3.41 % (470371)------------------------------
% 18.79/3.41 % (470371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.79/3.41 % (470371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/3.41 % (470371)CaDiCaL version: 2.1.3
% 18.79/3.41 % (470371)Termination reason: Instruction limit
% 18.79/3.41 % (470371)Termination phase: Saturation
% 18.79/3.41 % (470371)Time elapsed: 0.065 s
% 18.79/3.41 % (470371)Peak memory usage: 94 MB
% 18.79/3.41 % (470371)Instructions burned: 113 (million)
% 18.79/3.41 % (470373)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3881891549:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 18.79/3.41 % (470372)Instruction limit reached!
% 18.79/3.41 % (470372)------------------------------
% 18.79/3.41 % (470372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.79/3.41 % (470372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.79/3.41 % (470372)CaDiCaL version: 2.1.3
% 46.55/7.36 % (470372)Termination reason: Instruction limit
% 46.55/7.36 % (470372)Termination phase: Property scanning
% 46.55/7.36 % (470372)Time elapsed: 0.049 s
% 46.55/7.36 % (470372)Peak memory usage: 96 MB
% 46.55/7.36 % (470372)Instructions burned: 130 (million)
% 46.55/7.36 % (470373)Instruction limit reached!
% 46.55/7.36 % (470373)------------------------------
% 46.55/7.36 % (470373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.55/7.36 % (470373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/7.36 % (470373)CaDiCaL version: 2.1.3
% 46.55/7.36 % (470373)Termination reason: Instruction limit
% 46.55/7.36 % (470373)Termination phase: Preprocessing 3
% 46.55/7.36 % (470373)Time elapsed: 0.059 s
% 46.55/7.36 % (470373)Peak memory usage: 91 MB
% 46.55/7.36 % (470373)Instructions burned: 115 (million)
% 46.55/7.36 % (470379)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3916415103:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 46.55/7.36 % (470377)lrs+10_1_sil=8000:sp=occurrence:random_seed=1290056774:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 46.55/7.36 % (470380)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3307975798:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 46.55/7.36 % (470379)Instruction limit reached!
% 46.55/7.36 % (470379)------------------------------
% 46.55/7.36 % (470379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.55/7.36 % (470379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/7.36 % (470379)CaDiCaL version: 2.1.3
% 46.55/7.36 % (470379)Termination reason: Instruction limit
% 46.55/7.36 % (470379)Termination phase: Saturation
% 46.55/7.36 % (470379)Time elapsed: 0.114 s
% 46.55/7.36 % (470379)Peak memory usage: 95 MB
% 46.55/7.36 % (470379)Instructions burned: 440 (million)
% 46.55/7.36 % (470384)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=531786279:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 46.55/7.36 % (470384)Instruction limit reached!
% 46.55/7.36 % (470384)------------------------------
% 46.55/7.36 % (470384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.55/7.36 % (470384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/7.36 % (470384)CaDiCaL version: 2.1.3
% 46.55/7.36 % (470384)Termination reason: Instruction limit
% 46.55/7.36 % (470384)Termination phase: Saturation
% 46.55/7.36 % (470384)Time elapsed: 0.045 s
% 46.55/7.36 % (470384)Peak memory usage: 95 MB
% 46.55/7.36 % (470384)Instructions burned: 135 (million)
% 46.55/7.36 % (470386)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=452450870:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 46.55/7.36 % (470377)Instruction limit reached!
% 46.55/7.36 % (470377)------------------------------
% 46.55/7.36 % (470377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.55/7.36 % (470377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/7.36 % (470377)CaDiCaL version: 2.1.3
% 46.55/7.36 % (470377)Termination reason: Instruction limit
% 46.55/7.36 % (470377)Termination phase: Saturation
% 46.55/7.36 % (470377)Time elapsed: 0.558 s
% 46.55/7.36 % (470377)Peak memory usage: 108 MB
% 46.55/7.36 % (470377)Instructions burned: 908 (million)
% 46.55/7.36 % (470386)Instruction limit reached!
% 46.55/7.36 % (470386)------------------------------
% 46.55/7.36 % (470386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.55/7.36 % (470386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.55/7.36 % (470386)CaDiCaL version: 2.1.3
% 46.55/7.36 % (470386)Termination reason: Instruction limit
% 46.55/7.36 % (470386)Termination phase: Saturation
% 46.55/7.36 % (470386)Time elapsed: 0.158 s
% 46.55/7.36 % (470386)Peak memory usage: 105 MB
% 46.55/7.36 % (470386)Instructions burned: 594 (million)
% 46.55/7.36 % (470388)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3781474297:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 46.55/7.36 % (470389)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=1380855614:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 46.55/7.36 % (470389)Instruction limit reached!
% 46.55/7.36 % (470389)------------------------------
% 46.55/7.36 % (470389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.83/10.31 % (470389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.83/10.31 % (470389)CaDiCaL version: 2.1.3
% 67.83/10.31 % (470389)Termination reason: Instruction limit
% 67.83/10.31 % (470389)Termination phase: Property scanning
% 67.83/10.31 % (470389)Time elapsed: 0.072 s
% 67.83/10.31 % (470389)Peak memory usage: 92 MB
% 67.83/10.31 % (470389)Instructions burned: 125 (million)
% 67.83/10.31 % (470369)Instruction limit reached!
% 67.83/10.31 % (470369)------------------------------
% 67.83/10.31 % (470369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.83/10.31 % (470369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.83/10.31 % (470369)CaDiCaL version: 2.1.3
% 67.83/10.31 % (470369)Termination reason: Instruction limit
% 67.83/10.31 % (470369)Termination phase: Saturation
% 67.83/10.31 % (470369)Time elapsed: 1.168 s
% 67.83/10.31 % (470369)Peak memory usage: 179 MB
% 67.83/10.31 % (470369)Instructions burned: 2353 (million)
% 67.83/10.31 % (470392)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=996976071:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 67.83/10.31 % (470393)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2223966355:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 67.83/10.31 % (470392)Instruction limit reached!
% 67.83/10.31 % (470392)------------------------------
% 67.83/10.31 % (470392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.83/10.31 % (470392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.83/10.31 % (470392)CaDiCaL version: 2.1.3
% 67.83/10.31 % (470392)Termination reason: Instruction limit
% 67.83/10.31 % (470392)Termination phase: Preprocessing 2
% 67.83/10.31 % (470392)Time elapsed: 0.074 s
% 67.83/10.31 % (470392)Peak memory usage: 90 MB
% 67.83/10.31 % (470392)Instructions burned: 134 (million)
% 67.83/10.31 % (470393)Instruction limit reached!
% 67.83/10.31 % (470393)------------------------------
% 67.83/10.31 % (470393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.83/10.31 % (470393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.83/10.31 % (470393)CaDiCaL version: 2.1.3
% 67.83/10.31 % (470393)Termination reason: Instruction limit
% 67.83/10.31 % (470393)Termination phase: Saturation
% 67.83/10.31 % (470393)Time elapsed: 0.036 s
% 67.83/10.31 % (470393)Peak memory usage: 93 MB
% 67.83/10.31 % (470393)Instructions burned: 142 (million)
% 67.83/10.31 % (470396)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1684371112:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 67.83/10.31 % (470396)Refutation not found, incomplete strategy
% 67.83/10.31 % (470396)------------------------------
% 67.83/10.31 % (470396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.83/10.31 % (470396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.83/10.31 % (470396)CaDiCaL version: 2.1.3
% 67.83/10.31 % (470396)Termination reason: Refutation not found, incomplete strategy
% 67.83/10.31 % (470396)Time elapsed: 0.017 s
% 67.83/10.31 % (470396)Peak memory usage: 93 MB
% 67.83/10.31 % (470396)Instructions burned: 44 (million)
% 67.83/10.31 % (470397)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=1359262574:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 67.83/10.31 % (470396)------------------------------
% 67.83/10.31 % (470396)------------------------------
% 67.83/10.31 % (470400)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=2264374984:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 67.83/10.31 % (470400)Instruction limit reached!
% 67.83/10.31 % (470400)------------------------------
% 67.83/10.31 % (470400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.83/10.31 % (470400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.83/10.31 % (470400)CaDiCaL version: 2.1.3
% 67.83/10.31 % (470400)Termination reason: Instruction limit
% 67.83/10.31 % (470400)Termination phase: Property scanning
% 67.83/10.31 % (470400)Time elapsed: 0.057 s
% 67.83/10.31 % (470400)Peak memory usage: 96 MB
% 67.83/10.31 % (470400)Instructions burned: 152 (million)
% 67.83/10.31 % (470402)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2578406073:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 86.21/12.96 % (470380)Instruction limit reached!
% 86.21/12.96 % (470380)------------------------------
% 86.21/12.96 % (470380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470380)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470380)Termination reason: Instruction limit
% 86.21/12.96 % (470380)Termination phase: Saturation
% 86.21/12.96 % (470380)Time elapsed: 2.852 s
% 86.21/12.96 % (470380)Peak memory usage: 209 MB
% 86.21/12.96 % (470380)Instructions burned: 5204 (million)
% 86.21/12.96 % (470404)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=793706674:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 86.21/12.96 % (470404)Instruction limit reached!
% 86.21/12.96 % (470404)------------------------------
% 86.21/12.96 % (470404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470404)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470404)Termination reason: Instruction limit
% 86.21/12.96 % (470404)Termination phase: Saturation
% 86.21/12.96 % (470404)Time elapsed: 0.300 s
% 86.21/12.96 % (470404)Peak memory usage: 103 MB
% 86.21/12.96 % (470404)Instructions burned: 667 (million)
% 86.21/12.96 % (470406)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=164360102:s2a=on:i=185:s2at=1.8:fdi=4_2955 on theBenchmark for (2955ds/185Mi)
% 86.21/12.96 % (470406)Instruction limit reached!
% 86.21/12.96 % (470406)------------------------------
% 86.21/12.96 % (470406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470406)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470406)Termination reason: Instruction limit
% 86.21/12.96 % (470406)Termination phase: Property scanning
% 86.21/12.96 % (470406)Time elapsed: 0.116 s
% 86.21/12.96 % (470406)Peak memory usage: 97 MB
% 86.21/12.96 % (470406)Instructions burned: 188 (million)
% 86.21/12.96 % (470408)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1805341889:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2952 on theBenchmark for (2952ds/193Mi)
% 86.21/12.96 % (470408)Instruction limit reached!
% 86.21/12.96 % (470408)------------------------------
% 86.21/12.96 % (470408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470408)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470408)Termination reason: Instruction limit
% 86.21/12.96 % (470408)Termination phase: Saturation
% 86.21/12.96 % (470408)Time elapsed: 0.108 s
% 86.21/12.96 % (470408)Peak memory usage: 97 MB
% 86.21/12.96 % (470408)Instructions burned: 194 (million)
% 86.21/12.96 % (470410)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3371406857:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 86.21/12.96 % (470397)Instruction limit reached!
% 86.21/12.96 % (470397)------------------------------
% 86.21/12.96 % (470397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470397)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470397)Termination reason: Instruction limit
% 86.21/12.96 % (470397)Termination phase: Saturation
% 86.21/12.96 % (470397)Time elapsed: 3.393 s
% 86.21/12.96 % (470397)Peak memory usage: 226 MB
% 86.21/12.96 % (470397)Instructions burned: 6060 (million)
% 86.21/12.96 % (470412)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4092793654:i=12111:sd=1:ss=included_2943 on theBenchmark for (2943ds/12111Mi)
% 86.21/12.96 % (470402)Instruction limit reached!
% 86.21/12.96 % (470402)------------------------------
% 86.21/12.96 % (470402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470402)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470402)Termination reason: Instruction limit
% 86.21/12.96 % (470402)Termination phase: Saturation
% 86.21/12.96 % (470402)Time elapsed: 3.951 s
% 86.21/12.96 % (470402)Peak memory usage: 233 MB
% 86.21/12.96 % (470402)Instructions burned: 14157 (million)
% 86.21/12.96 % (470414)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=715084817:i=319:kws=precedence:fsr=off_2932 on theBenchmark for (2932ds/319Mi)
% 86.21/12.96 % (470414)Instruction limit reached!
% 86.21/12.96 % (470414)------------------------------
% 86.21/12.96 % (470414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470414)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470414)Termination reason: Instruction limit
% 86.21/12.96 % (470414)Termination phase: Property scanning
% 86.21/12.96 % (470414)Time elapsed: 0.083 s
% 86.21/12.96 % (470414)Peak memory usage: 97 MB
% 86.21/12.96 % (470414)Instructions burned: 322 (million)
% 86.21/12.96 % (470416)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3700059973:i=2064:ep=RST_2930 on theBenchmark for (2930ds/2064Mi)
% 86.21/12.96 % (470410)Instruction limit reached!
% 86.21/12.96 % (470410)------------------------------
% 86.21/12.96 % (470410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470410)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470410)Termination reason: Instruction limit
% 86.21/12.96 % (470410)Termination phase: Saturation
% 86.21/12.96 % (470410)Time elapsed: 2.127 s
% 86.21/12.96 % (470410)Peak memory usage: 111 MB
% 86.21/12.96 % (470410)Instructions burned: 4850 (million)
% 86.21/12.96 % (470418)dis-1011_128_sil=32000:random_seed=412101915:i=3706:ep=RST:av=off_2926 on theBenchmark for (2926ds/3706Mi)
% 86.21/12.96 % (470388)Instruction limit reached!
% 86.21/12.96 % (470388)------------------------------
% 86.21/12.96 % (470388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470388)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470388)Termination reason: Instruction limit
% 86.21/12.96 % (470388)Termination phase: Saturation
% 86.21/12.96 % (470388)Time elapsed: 5.794 s
% 86.21/12.96 % (470388)Peak memory usage: 202 MB
% 86.21/12.96 % (470388)Instructions burned: 13196 (million)
% 86.21/12.96 % (470416)Instruction limit reached!
% 86.21/12.96 % (470416)------------------------------
% 86.21/12.96 % (470416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470416)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470416)Termination reason: Instruction limit
% 86.21/12.96 % (470416)Termination phase: Saturation
% 86.21/12.96 % (470416)Time elapsed: 0.518 s
% 86.21/12.96 % (470416)Peak memory usage: 118 MB
% 86.21/12.96 % (470416)Instructions burned: 2065 (million)
% 86.21/12.96 % (470420)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3375415366:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2924 on theBenchmark for (2924ds/757Mi)
% 86.21/12.96 % (470421)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2170333287:i=13913:ss=axioms:sgt=8_2924 on theBenchmark for (2924ds/13913Mi)
% 86.21/12.96 % (470420)Instruction limit reached!
% 86.21/12.96 % (470420)------------------------------
% 86.21/12.96 % (470420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470420)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470420)Termination reason: Instruction limit
% 86.21/12.96 % (470420)Termination phase: Saturation
% 86.21/12.96 % (470420)Time elapsed: 0.214 s
% 86.21/12.96 % (470420)Peak memory usage: 101 MB
% 86.21/12.96 % (470420)Instructions burned: 760 (million)
% 86.21/12.96 % (470424)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3033211014:i=9925:aac=none_2921 on theBenchmark for (2921ds/9925Mi)
% 86.21/12.96 % (470418)Instruction limit reached!
% 86.21/12.96 % (470418)------------------------------
% 86.21/12.96 % (470418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470418)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470418)Termination reason: Instruction limit
% 86.21/12.96 % (470418)Termination phase: Saturation
% 86.21/12.96 % (470418)Time elapsed: 2.153 s
% 86.21/12.96 % (470418)Peak memory usage: 137 MB
% 86.21/12.96 % (470418)Instructions burned: 3708 (million)
% 86.21/12.96 % (470426)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2592894060:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2903 on theBenchmark for (2903ds/2479Mi)
% 86.21/12.96 % (470424)Instruction limit reached!
% 86.21/12.96 % (470424)------------------------------
% 86.21/12.96 % (470424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470424)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470424)Termination reason: Instruction limit
% 86.21/12.96 % (470424)Termination phase: Saturation
% 86.21/12.96 % (470424)Time elapsed: 2.642 s
% 86.21/12.96 % (470424)Peak memory usage: 216 MB
% 86.21/12.96 % (470424)Instructions burned: 9926 (million)
% 86.21/12.96 % (470428)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2697657590:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2893 on theBenchmark for (2893ds/440Mi)
% 86.21/12.96 % (470428)Instruction limit reached!
% 86.21/12.96 % (470428)------------------------------
% 86.21/12.96 % (470428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470428)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470428)Termination reason: Instruction limit
% 86.21/12.96 % (470428)Termination phase: Property scanning
% 86.21/12.96 % (470428)Time elapsed: 0.112 s
% 86.21/12.96 % (470428)Peak memory usage: 99 MB
% 86.21/12.96 % (470428)Instructions burned: 444 (million)
% 86.21/12.96 % (470430)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=190438139:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2890 on theBenchmark for (2890ds/11145Mi)
% 86.21/12.96 % (470426)Instruction limit reached!
% 86.21/12.96 % (470426)------------------------------
% 86.21/12.96 % (470426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470426)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470426)Termination reason: Instruction limit
% 86.21/12.96 % (470426)Termination phase: Saturation
% 86.21/12.96 % (470426)Time elapsed: 1.421 s
% 86.21/12.96 % (470426)Peak memory usage: 110 MB
% 86.21/12.96 % (470426)Instructions burned: 2479 (million)
% 86.21/12.96 % (470432)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=3484393159:cts=off:i=3034:av=off:er=known:fsd=on_2887 on theBenchmark for (2887ds/3034Mi)
% 86.21/12.96 % (470412)Instruction limit reached!
% 86.21/12.96 % (470412)------------------------------
% 86.21/12.96 % (470412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470412)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470412)Termination reason: Instruction limit
% 86.21/12.96 % (470412)Termination phase: Saturation
% 86.21/12.96 % (470412)Time elapsed: 5.826 s
% 86.21/12.96 % (470412)Peak memory usage: 205 MB
% 86.21/12.96 % (470412)Instructions burned: 12114 (million)
% 86.21/12.96 % (470434)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2784626480:st=2:s2a=on:i=524:s2at=2:ss=axioms_2882 on theBenchmark for (2882ds/524Mi)
% 86.21/12.96 % (470430)First to succeed.
% 86.21/12.96 % (470430)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-470341"
% 86.21/12.96 % (470434)Instruction limit reached!
% 86.21/12.96 % (470434)------------------------------
% 86.21/12.96 % (470434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.21/12.96 % (470434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.21/12.96 % (470434)CaDiCaL version: 2.1.3
% 86.21/12.96 % (470434)Termination reason: Instruction limit
% 86.21/12.96 % (470434)Termination phase: Saturation
% 86.21/12.96 % (470434)Time elapsed: 0.268 s
% 86.21/12.96 % (470434)Peak memory usage: 101 MB
% 86.21/12.96 % (470434)Instructions burned: 525 (million)
% 86.21/12.96 % (470430)Refutation found. Thanks to Tanya!
% 86.21/12.96 % SZS status Theorem for theBenchmark
% 86.21/12.96 % SZS output start Proof for theBenchmark
% See solution above
% 86.85/13.16 % (470430)------------------------------
% 86.85/13.16 % (470430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.85/13.16 % (470430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.85/13.16 % (470430)CaDiCaL version: 2.1.3
% 86.85/13.16 % (470430)Termination reason: Refutation
% 86.85/13.16 % (470430)Time elapsed: 1.049 s
% 86.85/13.16 % (470430)Peak memory usage: 155 MB
% 86.85/13.16 % (470430)Instructions burned: 2890 (million)
% 86.85/13.16 % (470430)------------------------------
% 86.85/13.16 % (470430)------------------------------
% 86.85/13.16 % (470341)Success in time 12.291 s
% 86.85/13.16 % Vampire exiting
%------------------------------------------------------------------------------