%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL968_3 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 18.06s 4.14s
% Output : FiniteModel 18.06s
% 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_float_0_0,type,
tptp_float_0_0: $i ).
tff(tptp_float_0_0_definition,axiom,
tptp_float_0_0 = 'fmb_$i_2' ).
tff(declare_tptp_minus_1,type,
tptp_minus_1: $i ).
tff(tptp_minus_1_definition,axiom,
tptp_minus_1 = 'fmb_$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_n6,type,
n6: $i ).
tff(n6_definition,axiom,
n6 = 'fmb_$i_3' ).
tff(declare_n999,type,
n999: $i ).
tff(n999_definition,axiom,
n999 = 'fmb_$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
% 0.00/0.03 % Problem : LCL968_3 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:11:24 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.12/1.86 % (2603391)Will run a generic schedule for satisfiability detection.
% 8.12/1.86 % (2603397)% WARNING: option uhcvi not known.
% 8.12/1.86 % (2603397)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=572189673:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.12/1.86 % (2603396)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2423115289_2999 on theBenchmark for (2999ds/0Mi)
% 8.12/1.86 % (2603398)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2476495474:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.12/1.86 % (2603399)dis+10_1_sil=32000:sp=arity:random_seed=1106358929:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.12/1.86 % (2603400)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=191231852:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.12/1.86 % (2603401)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=435745485:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.12/1.86 % (2603402)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1396059637:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.12/1.86 % (2603399)Instruction limit reached!
% 8.12/1.86 % (2603399)------------------------------
% 8.12/1.86 % (2603399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.86 % (2603399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.86 % (2603399)CaDiCaL version: 2.1.3
% 8.12/1.86 % (2603399)Termination reason: Instruction limit
% 8.12/1.86 % (2603399)Termination phase: Saturation
% 8.12/1.86 % (2603399)Time elapsed: 0.056 s
% 8.12/1.86 % (2603399)Peak memory usage: 14 MB
% 8.12/1.86 % (2603399)Instructions burned: 107 (million)
% 8.12/1.86 % (2603400)Instruction limit reached!
% 8.12/1.86 % (2603400)------------------------------
% 8.12/1.86 % (2603400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.86 % (2603400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.86 % (2603400)CaDiCaL version: 2.1.3
% 8.12/1.86 % (2603400)Termination reason: Instruction limit
% 8.12/1.86 % (2603400)Termination phase: Blocked clause elimination
% 8.12/1.86 % (2603400)Time elapsed: 0.056 s
% 8.12/1.86 % (2603400)Peak memory usage: 13 MB
% 8.12/1.86 % (2603400)Instructions burned: 119 (million)
% 8.12/1.86 % (2603401)Instruction limit reached!
% 8.12/1.86 % (2603401)------------------------------
% 8.12/1.86 % (2603401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.86 % (2603401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.86 % (2603401)CaDiCaL version: 2.1.3
% 8.12/1.86 % (2603401)Termination reason: Instruction limit
% 8.12/1.86 % (2603401)Termination phase: Saturation
% 8.12/1.86 % (2603401)Time elapsed: 0.068 s
% 8.12/1.86 % (2603401)Peak memory usage: 14 MB
% 8.12/1.86 % (2603401)Instructions burned: 132 (million)
% 8.12/1.86 % (2603410)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3341050358:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.12/1.86 % (2603411)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3233603428:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.12/1.86 % (2603402)Instruction limit reached!
% 8.12/1.86 % (2603402)------------------------------
% 8.12/1.86 % (2603402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.86 % (2603402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/1.86 % (2603402)CaDiCaL version: 2.1.3
% 8.12/1.86 % (2603402)Termination reason: Instruction limit
% 8.12/1.86 % (2603402)Termination phase: Saturation
% 8.12/1.86 % (2603402)Time elapsed: 0.085 s
% 8.12/1.86 % (2603402)Peak memory usage: 16 MB
% 8.12/1.86 % (2603402)Instructions burned: 160 (million)
% 8.12/1.86 % (2603412)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=3072939481:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.12/1.86 % (2603415)ott-21_1_sil=16000:fs=off:random_seed=1629256351:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.12/1.86 % (2603411)Instruction limit reached!
% 8.12/1.86 % (2603411)------------------------------
% 8.12/1.86 % (2603411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.12/1.86 % (2603411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603411)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603411)Termination reason: Instruction limit
% 18.06/4.14 % (2603411)Termination phase: Blocked clause elimination
% 18.06/4.14 % (2603411)Time elapsed: 0.065 s
% 18.06/4.14 % (2603411)Peak memory usage: 13 MB
% 18.06/4.14 % (2603411)Instructions burned: 133 (million)
% 18.06/4.14 % (2603418)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2883240573:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.06/4.14 % TRYING [1]
% 18.06/4.14 % TRYING [2]
% 18.06/4.14 % (2603415)Instruction limit reached!
% 18.06/4.14 % (2603415)------------------------------
% 18.06/4.14 % (2603415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603415)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603415)Termination reason: Instruction limit
% 18.06/4.14 % (2603415)Termination phase: Saturation
% 18.06/4.14 % (2603415)Time elapsed: 0.092 s
% 18.06/4.14 % (2603415)Peak memory usage: 15 MB
% 18.06/4.14 % (2603415)Instructions burned: 181 (million)
% 18.06/4.14 % (2603420)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1356697368:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.06/4.14 % TRYING [1]
% 18.06/4.14 % TRYING [2]
% 18.06/4.14 % TRYING [3]
% 18.06/4.14 % (2603410)Instruction limit reached!
% 18.06/4.14 % (2603410)------------------------------
% 18.06/4.14 % (2603410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603410)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603410)Termination reason: Instruction limit
% 18.06/4.14 % (2603410)Termination phase: Finite model building constraint generation
% 18.06/4.14 % (2603410)Time elapsed: 0.286 s
% 18.06/4.14 % (2603410)Peak memory usage: 32 MB
% 18.06/4.14 % (2603410)Instructions burned: 715 (million)
% 18.06/4.14 % (2603422)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2029765196:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 18.06/4.14 % (2603418)Instruction limit reached!
% 18.06/4.14 % (2603418)------------------------------
% 18.06/4.14 % (2603418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603418)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603418)Termination reason: Instruction limit
% 18.06/4.14 % (2603418)Termination phase: Saturation
% 18.06/4.14 % (2603418)Time elapsed: 0.258 s
% 18.06/4.14 % (2603418)Peak memory usage: 22 MB
% 18.06/4.14 % (2603418)Instructions burned: 478 (million)
% 18.06/4.14 % TRYING [1]
% 18.06/4.14 % (2603424)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1109208482:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 18.06/4.14 % TRYING [3]
% 18.06/4.14 % (2603412)Instruction limit reached!
% 18.06/4.14 % (2603412)------------------------------
% 18.06/4.14 % (2603412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603412)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603412)Termination reason: Instruction limit
% 18.06/4.14 % (2603412)Termination phase: Saturation
% 18.06/4.14 % (2603412)Time elapsed: 0.377 s
% 18.06/4.14 % (2603412)Peak memory usage: 20 MB
% 18.06/4.14 % (2603412)Instructions burned: 684 (million)
% 18.06/4.14 % TRYING [2]
% 18.06/4.14 % (2603426)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=216389053: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)
% 18.06/4.14 % (2603420)Instruction limit reached!
% 18.06/4.14 % (2603420)------------------------------
% 18.06/4.14 % (2603420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603420)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603420)Termination reason: Instruction limit
% 18.06/4.14 % (2603420)Termination phase: Finite model building SAT solving
% 18.06/4.14 % (2603420)Time elapsed: 0.390 s
% 18.06/4.14 % (2603420)Peak memory usage: 37 MB
% 18.06/4.14 % (2603420)Instructions burned: 865 (million)
% 18.06/4.14 % (2603428)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3997390347:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 18.06/4.14 % (2603424)Cannot represent all propositional literals internally
% 18.06/4.14 % (2603424)Refutation not found, incomplete strategy
% 18.06/4.14 % (2603424)------------------------------
% 18.06/4.14 % (2603424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603424)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603424)Termination reason: Refutation not found, incomplete strategy
% 18.06/4.14 % (2603424)Time elapsed: 0.219 s
% 18.06/4.14 % (2603424)Peak memory usage: 18 MB
% 18.06/4.14 % (2603424)Instructions burned: 469 (million)
% 18.06/4.14 % (2603424)------------------------------
% 18.06/4.14 % (2603424)------------------------------
% 18.06/4.14 % (2603430)fmb+10_1_sil=64000:random_seed=941767998:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 18.06/4.14 % TRYING [1]
% 18.06/4.14 % TRYING [2]
% 18.06/4.14 % (2603426)Instruction limit reached!
% 18.06/4.14 % (2603426)------------------------------
% 18.06/4.14 % (2603426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603426)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603426)Termination reason: Instruction limit
% 18.06/4.14 % (2603426)Termination phase: Saturation
% 18.06/4.14 % (2603426)Time elapsed: 0.396 s
% 18.06/4.14 % (2603426)Peak memory usage: 23 MB
% 18.06/4.14 % (2603426)Instructions burned: 693 (million)
% 18.06/4.14 % (2603432)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4069100418:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 18.06/4.14 % (2603422)Instruction limit reached!
% 18.06/4.14 % (2603422)------------------------------
% 18.06/4.14 % (2603422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603422)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603422)Termination reason: Instruction limit
% 18.06/4.14 % (2603422)Termination phase: Saturation
% 18.06/4.14 % (2603422)Time elapsed: 0.584 s
% 18.06/4.14 % (2603422)Peak memory usage: 27 MB
% 18.06/4.14 % (2603422)Instructions burned: 1181 (million)
% 18.06/4.14 % (2603434)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2816173260:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 18.06/4.14 % (2603428)Instruction limit reached!
% 18.06/4.14 % (2603428)------------------------------
% 18.06/4.14 % (2603428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603428)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603428)Termination reason: Instruction limit
% 18.06/4.14 % (2603428)Termination phase: Saturation
% 18.06/4.14 % (2603428)Time elapsed: 0.400 s
% 18.06/4.14 % (2603428)Peak memory usage: 28 MB
% 18.06/4.14 % (2603428)Instructions burned: 881 (million)
% 18.06/4.14 % (2603436)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3614250675:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 18.06/4.14 % (2603432)Cannot represent all propositional literals internally
% 18.06/4.14 % (2603432)Refutation not found, incomplete strategy
% 18.06/4.14 % (2603432)------------------------------
% 18.06/4.14 % (2603432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603432)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603432)Termination reason: Refutation not found, incomplete strategy
% 18.06/4.14 % (2603432)Time elapsed: 0.171 s
% 18.06/4.14 % (2603432)Peak memory usage: 17 MB
% 18.06/4.14 % (2603432)Instructions burned: 367 (million)
% 18.06/4.14 % (2603432)------------------------------
% 18.06/4.14 % (2603432)------------------------------
% 18.06/4.14 % (2603438)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2328765466:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 18.06/4.14 % TRYING [8]
% 18.06/4.14 % (2603434)Instruction limit reached!
% 18.06/4.14 % (2603434)------------------------------
% 18.06/4.14 % (2603434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603434)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603434)Termination reason: Instruction limit
% 18.06/4.14 % (2603434)Termination phase: Finite model building constraint generation
% 18.06/4.14 % (2603434)Time elapsed: 0.367 s
% 18.06/4.14 % (2603434)Peak memory usage: 44 MB
% 18.06/4.14 % (2603434)Instructions burned: 922 (million)
% 18.06/4.14 % TRYING [3]
% 18.06/4.14 % (2603440)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1447172394:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 18.06/4.14 % (2603440)Cannot represent all propositional literals internally
% 18.06/4.14 % (2603440)Refutation not found, incomplete strategy
% 18.06/4.14 % (2603440)------------------------------
% 18.06/4.14 % (2603440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603440)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603440)Termination reason: Refutation not found, incomplete strategy
% 18.06/4.14 % (2603440)Time elapsed: 0.247 s
% 18.06/4.14 % (2603440)Peak memory usage: 19 MB
% 18.06/4.14 % (2603440)Instructions burned: 529 (million)
% 18.06/4.14 % (2603440)------------------------------
% 18.06/4.14 % (2603440)------------------------------
% 18.06/4.14 % (2603442)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2814788301:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 18.06/4.14 % (2603438)Instruction limit reached!
% 18.06/4.14 % (2603438)------------------------------
% 18.06/4.14 % (2603438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603438)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603438)Termination reason: Instruction limit
% 18.06/4.14 % (2603438)Termination phase: Saturation
% 18.06/4.14 % (2603438)Time elapsed: 0.696 s
% 18.06/4.14 % (2603438)Peak memory usage: 35 MB
% 18.06/4.14 % (2603438)Instructions burned: 1473 (million)
% 18.06/4.14 % (2603444)ott-2_1_sil=16000:newcnf=on:random_seed=163305973:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 18.06/4.14 % (2603442)Cannot represent all propositional literals internally
% 18.06/4.14 % (2603442)Refutation not found, incomplete strategy
% 18.06/4.14 % (2603442)------------------------------
% 18.06/4.14 % (2603442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603442)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603442)Termination reason: Refutation not found, incomplete strategy
% 18.06/4.14 % (2603442)Time elapsed: 0.185 s
% 18.06/4.14 % (2603442)Peak memory usage: 16 MB
% 18.06/4.14 % (2603442)Instructions burned: 400 (million)
% 18.06/4.14 % (2603442)------------------------------
% 18.06/4.14 % (2603442)------------------------------
% 18.06/4.14 % (2603446)ott+10_1_sil=32000:tgt=ground:random_seed=46196370:i=5114:av=off_2981 on theBenchmark for (2981ds/5114Mi)
% 18.06/4.14 % (2603444)Instruction limit reached!
% 18.06/4.14 % (2603444)------------------------------
% 18.06/4.14 % (2603444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603444)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603444)Termination reason: Instruction limit
% 18.06/4.14 % (2603444)Termination phase: Saturation
% 18.06/4.14 % (2603444)Time elapsed: 0.474 s
% 18.06/4.14 % (2603444)Peak memory usage: 19 MB
% 18.06/4.14 % (2603444)Instructions burned: 870 (million)
% 18.06/4.14 % (2603448)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2909944310:i=54282_2976 on theBenchmark for (2976ds/54282Mi)
% 18.06/4.14 % TRYING [1]
% 18.06/4.14 % TRYING [2]
% 18.06/4.14 % TRYING [3]
% 18.06/4.14 % Finite Model Found!
% 18.06/4.14 % SZS status CounterSatisfiable for theBenchmark
% 18.06/4.14 % (2603396) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2603391-2603396"...
% 18.06/4.14 % (2603396)...printing done.
% 18.06/4.14 % (2603436)Instruction limit reached!
% 18.06/4.14 % (2603436)------------------------------
% 18.06/4.14 % (2603436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603436)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603436)Termination reason: Instruction limit
% 18.06/4.14 % (2603436)Termination phase: Saturation
% 18.06/4.14 % (2603436)Time elapsed: 2.569 s
% 18.06/4.14 % (2603436)Peak memory usage: 28 MB
% 18.06/4.14 % (2603436)Instructions burned: 5133 (million)
% 18.06/4.14 % SZS output start FiniteModel for theBenchmark
% See solution above
% 18.06/4.14 % (2603396)------------------------------
% 18.06/4.14 % (2603396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.06/4.14 % (2603396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.06/4.14 % (2603396)CaDiCaL version: 2.1.3
% 18.06/4.14 % (2603396)Termination reason: Satisfiable
% 18.06/4.14 % (2603396)Time elapsed: 3.590 s
% 18.06/4.14 % (2603396)Peak memory usage: 425 MB
% 18.06/4.14 % (2603396)Instructions burned: 8389 (million)
% 18.06/4.14 % (2603391)Success in time 3.715 s
% 18.06/4.14 % Vampire exiting
%------------------------------------------------------------------------------