%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL967_3 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:01:19 PM UTC 2026
% Result : CounterSatisfiable 9.67s 4.07s
% Output : FiniteModel 9.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).
tff('declare_$ki_world',type,
'$ki_world': $tType ).
tff('declare_$ki_world1',type,
'fmb_$ki_world_1': '$ki_world' ).
tff('declare_$ki_world2',type,
'fmb_$ki_world_2': '$ki_world' ).
tff('declare_$ki_world3',type,
'fmb_$ki_world_3': '$ki_world' ).
tff('finite_domain_$ki_world',axiom,
! [X: '$ki_world'] :
( ( X = 'fmb_$ki_world_1' )
| ( X = 'fmb_$ki_world_2' )
| ( X = 'fmb_$ki_world_3' ) ) ).
tff('distinct_domain_$ki_world',axiom,
( ( 'fmb_$ki_world_1' != 'fmb_$ki_world_2' )
& ( 'fmb_$ki_world_1' != 'fmb_$ki_world_3' )
& ( 'fmb_$ki_world_2' != 'fmb_$ki_world_3' ) ) ).
tff('declare_$ki_local_world',type,
'$ki_local_world': '$ki_world' ).
tff('$ki_local_world_definition',axiom,
'$ki_local_world' = 'fmb_$ki_world_1' ).
tff(declare_def,type,
def: $i ).
tff(def_definition,axiom,
def = 'fmb_$i_1' ).
tff(declare_tptp_minus_1,type,
tptp_minus_1: $i ).
tff(tptp_minus_1_definition,axiom,
tptp_minus_1 = 'fmb_$i_2' ).
tff(declare_pv40,type,
pv40: $i ).
tff(pv40_definition,axiom,
pv40 = 'fmb_$i_3' ).
tff(declare_tptp_float_0_0,type,
tptp_float_0_0: $i ).
tff(tptp_float_0_0_definition,axiom,
tptp_float_0_0 = 'fmb_$i_3' ).
tff(declare_n0,type,
n0: $i ).
tff(n0_definition,axiom,
n0 = 'fmb_$i_3' ).
tff(declare_n1,type,
n1: $i ).
tff(n1_definition,axiom,
n1 = 'fmb_$i_3' ).
tff(declare_n2,type,
n2: $i ).
tff(n2_definition,axiom,
n2 = 'fmb_$i_3' ).
tff(declare_n3,type,
n3: $i ).
tff(n3_definition,axiom,
n3 = 'fmb_$i_3' ).
tff(declare_n4,type,
n4: $i ).
tff(n4_definition,axiom,
n4 = 'fmb_$i_3' ).
tff(declare_use,type,
use: $i ).
tff(use_definition,axiom,
use = 'fmb_$i_3' ).
tff(declare_n5,type,
n5: $i ).
tff(n5_definition,axiom,
n5 = 'fmb_$i_3' ).
tff(declare_pv31,type,
pv31: $i ).
tff(pv31_definition,axiom,
pv31 = 'fmb_$i_3' ).
tff(declare_minus,type,
minus: ( $i * $i ) > $i ).
tff(function_minus,axiom,
( ( minus('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( minus('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( minus('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( minus('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( minus('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( minus('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( minus('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( minus('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( minus('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_dim,type,
dim: ( $i * $i ) > $i ).
tff(function_dim,axiom,
( ( dim('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( dim('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( dim('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( dim('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( dim('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( dim('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( dim('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( dim('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( dim('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_sum,type,
sum: ( $i * $i * $i ) > $i ).
tff(function_sum,axiom,
( ( sum('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( sum('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( sum('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( sum('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_plus,type,
plus: ( $i * $i ) > $i ).
tff(function_plus,axiom,
( ( plus('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( plus('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( plus('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( plus('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( plus('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( plus('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( plus('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( plus('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( plus('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_inv,type,
inv: $i > $i ).
tff(function_inv,axiom,
( ( inv('fmb_$i_1') = 'fmb_$i_3' )
& ( inv('fmb_$i_2') = 'fmb_$i_3' )
& ( inv('fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_uniform_int_rnd,type,
uniform_int_rnd: ( $i * $i ) > $i ).
tff(function_uniform_int_rnd,axiom,
( ( uniform_int_rnd('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( uniform_int_rnd('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( uniform_int_rnd('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( uniform_int_rnd('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( uniform_int_rnd('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( uniform_int_rnd('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( uniform_int_rnd('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( uniform_int_rnd('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( uniform_int_rnd('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_succ,type,
succ: $i > $i ).
tff(function_succ,axiom,
( ( succ('fmb_$i_1') = 'fmb_$i_3' )
& ( succ('fmb_$i_2') = 'fmb_$i_3' )
& ( succ('fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_pred,type,
pred: $i > $i ).
tff(function_pred,axiom,
( ( pred('fmb_$i_1') = 'fmb_$i_3' )
& ( pred('fmb_$i_2') = 'fmb_$i_3' )
& ( pred('fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_tptp_update3,type,
tptp_update3: ( $i * $i * $i * $i ) > $i ).
tff(function_tptp_update3,axiom,
( ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_tptp_update2,type,
tptp_update2: ( $i * $i * $i ) > $i ).
tff(function_tptp_update2,axiom,
( ( tptp_update2('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_update2('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_tptp_const_array1,type,
tptp_const_array1: ( $i * $i ) > $i ).
tff(function_tptp_const_array1,axiom,
( ( tptp_const_array1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array1('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array1('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array1('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array1('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array1('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_tptp_mmul,type,
tptp_mmul: ( $i * $i ) > $i ).
tff(function_tptp_mmul,axiom,
( ( tptp_mmul('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_mmul('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_mmul('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_mmul('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_mmul('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_mmul('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_mmul('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_mmul('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_mmul('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_a_select3,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(function_a_select3,axiom,
( ( a_select3('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select3('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_tptp_const_array2,type,
tptp_const_array2: ( $i * $i * $i ) > $i ).
tff(function_tptp_const_array2,axiom,
( ( tptp_const_array2('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_const_array2('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_a_select2,type,
a_select2: ( $i * $i ) > $i ).
tff(function_a_select2,axiom,
( ( a_select2('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select2('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select2('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select2('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select2('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select2('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( a_select2('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( a_select2('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( a_select2('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_tptp_madd,type,
tptp_madd: ( $i * $i ) > $i ).
tff(function_tptp_madd,axiom,
( ( tptp_madd('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_madd('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_madd('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_madd('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_madd('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_madd('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_madd('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_madd('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_madd('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_tptp_msub,type,
tptp_msub: ( $i * $i ) > $i ).
tff(function_tptp_msub,axiom,
( ( tptp_msub('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_msub('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_msub('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_msub('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_msub('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_msub('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( tptp_msub('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( tptp_msub('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( tptp_msub('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff(declare_trans,type,
trans: $i > $i ).
tff(function_trans,axiom,
( ( trans('fmb_$i_1') = 'fmb_$i_3' )
& ( trans('fmb_$i_2') = 'fmb_$i_3' )
& ( trans('fmb_$i_3') = 'fmb_$i_3' ) ) ).
tff('declare_$ki_accessible',type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff('predicate_$ki_accessible',axiom,
( ~ '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_1')
& '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_2')
& ~ '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_3')
& ~ '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_1')
& ~ '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_2')
& '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_3')
& '$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_1')
& ~ '$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_2')
& ~ '$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_3') ) ).
tff(declare_customqmltpeq,type,
customqmltpeq: ( '$ki_world' * $i * $i ) > $o ).
tff(predicate_customqmltpeq,axiom,
( customqmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1')
& customqmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2')
& customqmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3')
& customqmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1')
& customqmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2')
& customqmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3')
& customqmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1')
& customqmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2')
& customqmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3')
& ~ customqmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1')
& customqmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2')
& customqmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3')
& customqmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1')
& customqmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2')
& customqmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3')
& customqmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1')
& customqmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2')
& customqmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3')
& customqmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1')
& ~ customqmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2')
& ~ customqmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3')
& ~ customqmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1')
& customqmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2')
& ~ customqmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3')
& customqmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1')
& customqmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2')
& customqmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_true,type,
true: '$ki_world' > $o ).
tff(predicate_true,axiom,
( ~ true('fmb_$ki_world_1')
& true('fmb_$ki_world_2')
& true('fmb_$ki_world_3') ) ).
tff(declare_geq,type,
geq: ( '$ki_world' * $i * $i ) > $o ).
tff(predicate_geq,axiom,
( ~ geq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1')
& ~ geq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2')
& ~ geq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3')
& ~ geq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1')
& ~ geq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2')
& ~ geq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3')
& ~ geq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1')
& ~ geq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2')
& ~ geq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3')
& geq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1')
& geq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2')
& geq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3')
& geq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1')
& geq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2')
& geq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3')
& geq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1')
& geq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2')
& geq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3')
& ~ geq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1')
& ~ geq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2')
& ~ geq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3')
& ~ geq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1')
& ~ geq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2')
& ~ geq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3')
& ~ geq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1')
& ~ geq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2')
& ~ geq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_lt,type,
lt: ( '$ki_world' * $i * $i ) > $o ).
tff(predicate_lt,axiom,
( lt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1')
& lt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2')
& lt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3')
& lt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1')
& lt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2')
& lt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3')
& lt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1')
& lt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2')
& lt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3')
& lt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1')
& lt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2')
& lt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3')
& lt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1')
& lt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2')
& lt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3')
& lt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1')
& lt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2')
& lt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3')
& lt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1')
& lt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2')
& lt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3')
& lt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1')
& lt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2')
& lt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3')
& lt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1')
& lt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2')
& lt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_leq,type,
leq: ( '$ki_world' * $i * $i ) > $o ).
tff(predicate_leq,axiom,
( leq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1')
& ~ leq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2')
& ~ leq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3')
& ~ leq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1')
& leq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2')
& ~ leq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3')
& ~ leq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1')
& ~ leq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2')
& ~ leq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3')
& leq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1')
& leq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2')
& leq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3')
& leq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1')
& leq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2')
& leq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3')
& leq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1')
& leq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2')
& leq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3')
& leq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1')
& leq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2')
& leq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3')
& leq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1')
& leq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2')
& leq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3')
& leq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1')
& leq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2')
& leq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_gt,type,
gt: ( '$ki_world' * $i * $i ) > $o ).
tff(predicate_gt,axiom,
( ~ gt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1')
& gt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2')
& gt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3')
& gt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1')
& ~ gt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2')
& gt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3')
& ~ gt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1')
& ~ gt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2')
& ~ gt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3')
& gt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1')
& gt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2')
& gt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3')
& gt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1')
& gt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2')
& gt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3')
& gt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1')
& gt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2')
& gt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3')
& gt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1')
& gt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2')
& gt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3')
& gt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1')
& gt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2')
& gt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3')
& gt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1')
& gt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2')
& gt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') ) ).
tff('declare_$ki_exists_in_world_$i',type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff('predicate_$ki_exists_in_world_$i',axiom,
( '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_1')
& '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_2')
& '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_3')
& '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_1')
& '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_2')
& '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_3')
& '$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_1')
& '$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_2')
& '$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL967_3 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:12:31 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.14/1.82 % (1872116)Will run a generic schedule for satisfiability detection.
% 8.14/1.82 % (1872122)% WARNING: option uhcvi not known.
% 8.14/1.82 % (1872122)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1727356634:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.14/1.82 % (1872121)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=495123401_2999 on theBenchmark for (2999ds/0Mi)
% 8.14/1.82 % (1872123)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=431055314:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.14/1.82 % (1872125)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=492103198:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.14/1.82 % (1872124)dis+10_1_sil=32000:sp=arity:random_seed=1411912845:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.14/1.82 % (1872126)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4193288434:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.14/1.82 % (1872127)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=58349056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.14/1.83 % (1872124)Instruction limit reached!
% 8.14/1.83 % (1872124)------------------------------
% 8.14/1.83 % (1872124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.83 % (1872124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.83 % (1872124)CaDiCaL version: 2.1.3
% 8.14/1.83 % (1872124)Termination reason: Instruction limit
% 8.14/1.83 % (1872124)Termination phase: Saturation
% 8.14/1.83 % (1872124)Time elapsed: 0.054 s
% 8.14/1.83 % (1872124)Peak memory usage: 14 MB
% 8.14/1.83 % (1872124)Instructions burned: 104 (million)
% 8.14/1.83 % (1872125)Instruction limit reached!
% 8.14/1.83 % (1872125)------------------------------
% 8.14/1.83 % (1872125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.83 % (1872125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.83 % (1872125)CaDiCaL version: 2.1.3
% 8.14/1.83 % (1872125)Termination reason: Instruction limit
% 8.14/1.83 % (1872125)Termination phase: Blocked clause elimination
% 8.14/1.83 % (1872125)Time elapsed: 0.055 s
% 8.14/1.83 % (1872125)Peak memory usage: 13 MB
% 8.14/1.83 % (1872125)Instructions burned: 117 (million)
% 8.14/1.83 % (1872126)Instruction limit reached!
% 8.14/1.83 % (1872126)------------------------------
% 8.14/1.83 % (1872126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.83 % (1872126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.83 % (1872126)CaDiCaL version: 2.1.3
% 8.14/1.83 % (1872126)Termination reason: Instruction limit
% 8.14/1.83 % (1872126)Termination phase: Saturation
% 8.14/1.83 % (1872126)Time elapsed: 0.069 s
% 8.14/1.83 % (1872126)Peak memory usage: 14 MB
% 8.14/1.83 % (1872126)Instructions burned: 132 (million)
% 8.14/1.83 % (1872136)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=749279970:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.14/1.83 % (1872135)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3764062905:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.14/1.83 % (1872127)Instruction limit reached!
% 8.14/1.83 % (1872127)------------------------------
% 8.14/1.83 % (1872127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.83 % (1872127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.83 % (1872127)CaDiCaL version: 2.1.3
% 8.14/1.83 % (1872127)Termination reason: Instruction limit
% 8.14/1.83 % (1872127)Termination phase: Saturation
% 8.14/1.83 % (1872127)Time elapsed: 0.083 s
% 8.14/1.83 % (1872127)Peak memory usage: 16 MB
% 8.14/1.83 % (1872127)Instructions burned: 160 (million)
% 8.14/1.83 % (1872137)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1877429366:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.14/1.83 % (1872140)ott-21_1_sil=16000:fs=off:random_seed=1523358864:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.14/1.83 % (1872136)Instruction limit reached!
% 8.14/1.83 % (1872136)------------------------------
% 8.14/1.83 % (1872136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.83 % (1872136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872136)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872136)Termination reason: Instruction limit
% 9.67/4.07 % (1872136)Termination phase: Blocked clause elimination
% 9.67/4.07 % (1872136)Time elapsed: 0.064 s
% 9.67/4.07 % (1872136)Peak memory usage: 13 MB
% 9.67/4.07 % (1872136)Instructions burned: 131 (million)
% 9.67/4.07 % (1872143)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1761719722:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.67/4.07 % TRYING [1]
% 9.67/4.07 % TRYING [2]
% 9.67/4.07 % (1872140)Instruction limit reached!
% 9.67/4.07 % (1872140)------------------------------
% 9.67/4.07 % (1872140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872140)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872140)Termination reason: Instruction limit
% 9.67/4.07 % (1872140)Termination phase: Saturation
% 9.67/4.07 % (1872140)Time elapsed: 0.092 s
% 9.67/4.07 % (1872140)Peak memory usage: 15 MB
% 9.67/4.07 % (1872140)Instructions burned: 180 (million)
% 9.67/4.07 % (1872145)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2260190977:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.67/4.07 % TRYING [1]
% 9.67/4.07 % TRYING [2]
% 9.67/4.07 % TRYING [3]
% 9.67/4.07 % (1872135)Instruction limit reached!
% 9.67/4.07 % (1872135)------------------------------
% 9.67/4.07 % (1872135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872135)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872135)Termination reason: Instruction limit
% 9.67/4.07 % (1872135)Termination phase: Finite model building constraint generation
% 9.67/4.07 % (1872135)Time elapsed: 0.281 s
% 9.67/4.07 % (1872135)Peak memory usage: 32 MB
% 9.67/4.07 % (1872135)Instructions burned: 717 (million)
% 9.67/4.07 % (1872147)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3990048365:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 9.67/4.07 % (1872143)Instruction limit reached!
% 9.67/4.07 % (1872143)------------------------------
% 9.67/4.07 % (1872143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872143)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872143)Termination reason: Instruction limit
% 9.67/4.07 % (1872143)Termination phase: Saturation
% 9.67/4.07 % (1872143)Time elapsed: 0.252 s
% 9.67/4.07 % (1872143)Peak memory usage: 19 MB
% 9.67/4.07 % (1872143)Instructions burned: 478 (million)
% 9.67/4.07 % (1872149)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=299600732:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 9.67/4.07 % TRYING [1]
% 9.67/4.07 % TRYING [3]
% 9.67/4.07 % (1872137)Instruction limit reached!
% 9.67/4.07 % (1872137)------------------------------
% 9.67/4.07 % (1872137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872137)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872137)Termination reason: Instruction limit
% 9.67/4.07 % (1872137)Termination phase: Saturation
% 9.67/4.07 % (1872137)Time elapsed: 0.377 s
% 9.67/4.07 % (1872137)Peak memory usage: 22 MB
% 9.67/4.07 % (1872137)Instructions burned: 685 (million)
% 9.67/4.07 % TRYING [2]
% 9.67/4.07 % (1872151)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=858327121:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 9.67/4.07 % (1872145)Instruction limit reached!
% 9.67/4.07 % (1872145)------------------------------
% 9.67/4.07 % (1872145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872145)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872145)Termination reason: Instruction limit
% 9.67/4.07 % (1872145)Termination phase: Finite model building SAT solving
% 9.67/4.07 % (1872145)Time elapsed: 0.389 s
% 9.67/4.07 % (1872145)Peak memory usage: 37 MB
% 9.67/4.07 % (1872145)Instructions burned: 868 (million)
% 9.67/4.07 % (1872153)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=426282781:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 9.67/4.07 % (1872149)Cannot represent all propositional literals internally
% 9.67/4.07 % (1872149)Refutation not found, incomplete strategy
% 9.67/4.07 % (1872149)------------------------------
% 9.67/4.07 % (1872149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872149)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872149)Termination reason: Refutation not found, incomplete strategy
% 9.67/4.07 % (1872149)Time elapsed: 0.213 s
% 9.67/4.07 % (1872149)Peak memory usage: 18 MB
% 9.67/4.07 % (1872149)Instructions burned: 459 (million)
% 9.67/4.07 % (1872149)------------------------------
% 9.67/4.07 % (1872149)------------------------------
% 9.67/4.07 % (1872155)fmb+10_1_sil=64000:random_seed=1769522070:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 9.67/4.07 % TRYING [1]
% 9.67/4.07 % TRYING [2]
% 9.67/4.07 % (1872151)Instruction limit reached!
% 9.67/4.07 % (1872151)------------------------------
% 9.67/4.07 % (1872151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872151)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872151)Termination reason: Instruction limit
% 9.67/4.07 % (1872151)Termination phase: Saturation
% 9.67/4.07 % (1872151)Time elapsed: 0.375 s
% 9.67/4.07 % (1872151)Peak memory usage: 20 MB
% 9.67/4.07 % (1872151)Instructions burned: 692 (million)
% 9.67/4.07 % (1872157)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2666489999:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 9.67/4.07 % (1872147)Instruction limit reached!
% 9.67/4.07 % (1872147)------------------------------
% 9.67/4.07 % (1872147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872147)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872147)Termination reason: Instruction limit
% 9.67/4.07 % (1872147)Termination phase: Saturation
% 9.67/4.07 % (1872147)Time elapsed: 0.585 s
% 9.67/4.07 % (1872147)Peak memory usage: 27 MB
% 9.67/4.07 % (1872147)Instructions burned: 1180 (million)
% 9.67/4.07 % (1872159)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=836016388:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 9.67/4.07 % (1872153)Instruction limit reached!
% 9.67/4.07 % (1872153)------------------------------
% 9.67/4.07 % (1872153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872153)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872153)Termination reason: Instruction limit
% 9.67/4.07 % (1872153)Termination phase: Saturation
% 9.67/4.07 % (1872153)Time elapsed: 0.418 s
% 9.67/4.07 % (1872153)Peak memory usage: 24 MB
% 9.67/4.07 % (1872153)Instructions burned: 879 (million)
% 9.67/4.07 % (1872157)Cannot represent all propositional literals internally
% 9.67/4.07 % (1872157)Refutation not found, incomplete strategy
% 9.67/4.07 % (1872157)------------------------------
% 9.67/4.07 % (1872157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872157)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872157)Termination reason: Refutation not found, incomplete strategy
% 9.67/4.07 % (1872157)Time elapsed: 0.165 s
% 9.67/4.07 % (1872157)Peak memory usage: 17 MB
% 9.67/4.07 % (1872157)Instructions burned: 357 (million)
% 9.67/4.07 % (1872157)------------------------------
% 9.67/4.07 % (1872157)------------------------------
% 9.67/4.07 % (1872161)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1272664324:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 9.67/4.07 % (1872162)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3559487258:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 9.67/4.07 % TRYING [8]
% 9.67/4.07 % TRYING [3]
% 9.67/4.07 % (1872159)Instruction limit reached!
% 9.67/4.07 % (1872159)------------------------------
% 9.67/4.07 % (1872159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872159)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872159)Termination reason: Instruction limit
% 9.67/4.07 % (1872159)Termination phase: Finite model building constraint generation
% 9.67/4.07 % (1872159)Time elapsed: 0.363 s
% 9.67/4.07 % (1872159)Peak memory usage: 44 MB
% 9.67/4.07 % (1872159)Instructions burned: 924 (million)
% 9.67/4.07 % (1872165)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1024079272:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 9.67/4.07 % (1872165)Cannot represent all propositional literals internally
% 9.67/4.07 % (1872165)Refutation not found, incomplete strategy
% 9.67/4.07 % (1872165)------------------------------
% 9.67/4.07 % (1872165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872165)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872165)Termination reason: Refutation not found, incomplete strategy
% 9.67/4.07 % (1872165)Time elapsed: 0.241 s
% 9.67/4.07 % (1872165)Peak memory usage: 19 MB
% 9.67/4.07 % (1872165)Instructions burned: 517 (million)
% 9.67/4.07 % (1872165)------------------------------
% 9.67/4.07 % (1872165)------------------------------
% 9.67/4.07 % (1872167)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1535821838:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 9.67/4.07 % (1872162)Instruction limit reached!
% 9.67/4.07 % (1872162)------------------------------
% 9.67/4.07 % (1872162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872162)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872162)Termination reason: Instruction limit
% 9.67/4.07 % (1872162)Termination phase: Saturation
% 9.67/4.07 % (1872162)Time elapsed: 0.600 s
% 9.67/4.07 % (1872162)Peak memory usage: 26 MB
% 9.67/4.07 % (1872162)Instructions burned: 1474 (million)
% 9.67/4.07 % (1872169)ott-2_1_sil=16000:newcnf=on:random_seed=56058558:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2982 on theBenchmark for (2982ds/869Mi)
% 9.67/4.07 % (1872167)Cannot represent all propositional literals internally
% 9.67/4.07 % (1872167)Refutation not found, incomplete strategy
% 9.67/4.07 % (1872167)------------------------------
% 9.67/4.07 % (1872167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872167)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872167)Termination reason: Refutation not found, incomplete strategy
% 9.67/4.07 % (1872167)Time elapsed: 0.181 s
% 9.67/4.07 % (1872167)Peak memory usage: 16 MB
% 9.67/4.07 % (1872167)Instructions burned: 391 (million)
% 9.67/4.07 % (1872167)------------------------------
% 9.67/4.07 % (1872167)------------------------------
% 9.67/4.07 % (1872171)ott+10_1_sil=32000:tgt=ground:random_seed=3777499486:i=5114:av=off_2981 on theBenchmark for (2981ds/5114Mi)
% 9.67/4.07 % (1872169)Instruction limit reached!
% 9.67/4.07 % (1872169)------------------------------
% 9.67/4.07 % (1872169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872169)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872169)Termination reason: Instruction limit
% 9.67/4.07 % (1872169)Termination phase: Saturation
% 9.67/4.07 % (1872169)Time elapsed: 0.482 s
% 9.67/4.07 % (1872169)Peak memory usage: 19 MB
% 9.67/4.07 % (1872169)Instructions burned: 870 (million)
% 9.67/4.07 % (1872173)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1506045889:i=54282_2977 on theBenchmark for (2977ds/54282Mi)
% 9.67/4.07 % TRYING [1]
% 9.67/4.07 % TRYING [2]
% 9.67/4.07 % TRYING [3]
% 9.67/4.07 % Finite Model Found!
% 9.67/4.07 % SZS status CounterSatisfiable for theBenchmark
% 9.67/4.07 % (1872121) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1872116-1872121"...
% 9.67/4.07 % (1872121)...printing done.
% 9.67/4.07 % SZS output start FiniteModel for theBenchmark
% See solution above
% 9.67/4.07 % (1872121)------------------------------
% 9.67/4.07 % (1872121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/4.07 % (1872121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/4.07 % (1872121)CaDiCaL version: 2.1.3
% 9.67/4.07 % (1872121)Termination reason: Satisfiable
% 9.67/4.07 % (1872121)Time elapsed: 3.533 s
% 9.67/4.07 % (1872121)Peak memory usage: 428 MB
% 9.67/4.07 % (1872121)Instructions burned: 8372 (million)
% 9.67/4.07 % (1872116)Success in time 3.658 s
% 9.67/4.07 % Vampire exiting
%------------------------------------------------------------------------------