%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE127+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 11:40:55 AM UTC 2026
% Result : CounterSatisfiable 35.30s 9.74s
% Output : FiniteModel 35.30s
% 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': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('declare_$i5',type,
'fmb_$i_5': $i ).
tff('declare_$i6',type,
'fmb_$i_6': $i ).
tff('declare_$i7',type,
'fmb_$i_7': $i ).
tff('declare_$i8',type,
'fmb_$i_8': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' )
| ( X = 'fmb_$i_6' )
| ( X = 'fmb_$i_7' )
| ( X = 'fmb_$i_8' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_1' != 'fmb_$i_5' )
& ( 'fmb_$i_1' != 'fmb_$i_6' )
& ( 'fmb_$i_1' != 'fmb_$i_7' )
& ( 'fmb_$i_1' != 'fmb_$i_8' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_6' )
& ( 'fmb_$i_2' != 'fmb_$i_7' )
& ( 'fmb_$i_2' != 'fmb_$i_8' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_6' )
& ( 'fmb_$i_3' != 'fmb_$i_7' )
& ( 'fmb_$i_3' != 'fmb_$i_8' )
& ( 'fmb_$i_4' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_6' )
& ( 'fmb_$i_4' != 'fmb_$i_7' )
& ( 'fmb_$i_4' != 'fmb_$i_8' )
& ( 'fmb_$i_5' != 'fmb_$i_6' )
& ( 'fmb_$i_5' != 'fmb_$i_7' )
& ( 'fmb_$i_5' != 'fmb_$i_8' )
& ( 'fmb_$i_6' != 'fmb_$i_7' )
& ( 'fmb_$i_6' != 'fmb_$i_8' )
& ( 'fmb_$i_7' != 'fmb_$i_8' ) ) ).
tff(declare_zero,type,
zero: $i ).
tff(zero_definition,axiom,
zero = 'fmb_$i_1' ).
tff(declare_one,type,
one: $i ).
tff(one_definition,axiom,
one = 'fmb_$i_2' ).
tff(declare_addition,type,
addition: ( $i * $i ) > $i ).
tff(function_addition,axiom,
( ( addition('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( addition('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( addition('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( addition('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( addition('fmb_$i_1','fmb_$i_6') = 'fmb_$i_6' )
& ( addition('fmb_$i_1','fmb_$i_7') = 'fmb_$i_7' )
& ( addition('fmb_$i_1','fmb_$i_8') = 'fmb_$i_8' )
& ( addition('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( addition('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( addition('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( addition('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( addition('fmb_$i_2','fmb_$i_6') = 'fmb_$i_4' )
& ( addition('fmb_$i_2','fmb_$i_7') = 'fmb_$i_2' )
& ( addition('fmb_$i_2','fmb_$i_8') = 'fmb_$i_4' )
& ( addition('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( addition('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( addition('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( addition('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_3','fmb_$i_5') = 'fmb_$i_4' )
& ( addition('fmb_$i_3','fmb_$i_6') = 'fmb_$i_8' )
& ( addition('fmb_$i_3','fmb_$i_7') = 'fmb_$i_2' )
& ( addition('fmb_$i_3','fmb_$i_8') = 'fmb_$i_8' )
& ( addition('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( addition('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( addition('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( addition('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( addition('fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( addition('fmb_$i_4','fmb_$i_7') = 'fmb_$i_4' )
& ( addition('fmb_$i_4','fmb_$i_8') = 'fmb_$i_4' )
& ( addition('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( addition('fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( addition('fmb_$i_5','fmb_$i_3') = 'fmb_$i_4' )
& ( addition('fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( addition('fmb_$i_5','fmb_$i_6') = 'fmb_$i_5' )
& ( addition('fmb_$i_5','fmb_$i_7') = 'fmb_$i_5' )
& ( addition('fmb_$i_5','fmb_$i_8') = 'fmb_$i_4' )
& ( addition('fmb_$i_6','fmb_$i_1') = 'fmb_$i_6' )
& ( addition('fmb_$i_6','fmb_$i_2') = 'fmb_$i_4' )
& ( addition('fmb_$i_6','fmb_$i_3') = 'fmb_$i_8' )
& ( addition('fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_6','fmb_$i_5') = 'fmb_$i_5' )
& ( addition('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6' )
& ( addition('fmb_$i_6','fmb_$i_7') = 'fmb_$i_5' )
& ( addition('fmb_$i_6','fmb_$i_8') = 'fmb_$i_8' )
& ( addition('fmb_$i_7','fmb_$i_1') = 'fmb_$i_7' )
& ( addition('fmb_$i_7','fmb_$i_2') = 'fmb_$i_2' )
& ( addition('fmb_$i_7','fmb_$i_3') = 'fmb_$i_2' )
& ( addition('fmb_$i_7','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_7','fmb_$i_5') = 'fmb_$i_5' )
& ( addition('fmb_$i_7','fmb_$i_6') = 'fmb_$i_5' )
& ( addition('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7' )
& ( addition('fmb_$i_7','fmb_$i_8') = 'fmb_$i_4' )
& ( addition('fmb_$i_8','fmb_$i_1') = 'fmb_$i_8' )
& ( addition('fmb_$i_8','fmb_$i_2') = 'fmb_$i_4' )
& ( addition('fmb_$i_8','fmb_$i_3') = 'fmb_$i_8' )
& ( addition('fmb_$i_8','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_8','fmb_$i_5') = 'fmb_$i_4' )
& ( addition('fmb_$i_8','fmb_$i_6') = 'fmb_$i_8' )
& ( addition('fmb_$i_8','fmb_$i_7') = 'fmb_$i_4' )
& ( addition('fmb_$i_8','fmb_$i_8') = 'fmb_$i_8' ) ) ).
tff(declare_multiplication,type,
multiplication: ( $i * $i ) > $i ).
tff(function_multiplication,axiom,
( ( multiplication('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( multiplication('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( multiplication('fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
& ( multiplication('fmb_$i_2','fmb_$i_6') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( multiplication('fmb_$i_2','fmb_$i_8') = 'fmb_$i_8' )
& ( multiplication('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( multiplication('fmb_$i_4','fmb_$i_3') = 'fmb_$i_8' )
& ( multiplication('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( multiplication('fmb_$i_4','fmb_$i_5') = 'fmb_$i_5' )
& ( multiplication('fmb_$i_4','fmb_$i_6') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_4','fmb_$i_7') = 'fmb_$i_7' )
& ( multiplication('fmb_$i_4','fmb_$i_8') = 'fmb_$i_8' )
& ( multiplication('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( multiplication('fmb_$i_5','fmb_$i_3') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( multiplication('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( multiplication('fmb_$i_5','fmb_$i_6') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_5','fmb_$i_7') = 'fmb_$i_7' )
& ( multiplication('fmb_$i_5','fmb_$i_8') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_6','fmb_$i_2') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_6','fmb_$i_3') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_6','fmb_$i_4') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_6','fmb_$i_8') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( multiplication('fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_7','fmb_$i_4') = 'fmb_$i_5' )
& ( multiplication('fmb_$i_7','fmb_$i_5') = 'fmb_$i_5' )
& ( multiplication('fmb_$i_7','fmb_$i_6') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7' )
& ( multiplication('fmb_$i_7','fmb_$i_8') = 'fmb_$i_6' )
& ( multiplication('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_8','fmb_$i_2') = 'fmb_$i_8' )
& ( multiplication('fmb_$i_8','fmb_$i_3') = 'fmb_$i_8' )
& ( multiplication('fmb_$i_8','fmb_$i_4') = 'fmb_$i_8' )
& ( multiplication('fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_8','fmb_$i_8') = 'fmb_$i_8' ) ) ).
tff(declare_antidomain,type,
antidomain: $i > $i ).
tff(function_antidomain,axiom,
( ( antidomain('fmb_$i_1') = 'fmb_$i_2' )
& ( antidomain('fmb_$i_2') = 'fmb_$i_1' )
& ( antidomain('fmb_$i_3') = 'fmb_$i_7' )
& ( antidomain('fmb_$i_4') = 'fmb_$i_1' )
& ( antidomain('fmb_$i_5') = 'fmb_$i_3' )
& ( antidomain('fmb_$i_6') = 'fmb_$i_3' )
& ( antidomain('fmb_$i_7') = 'fmb_$i_3' )
& ( antidomain('fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_domain,type,
domain: $i > $i ).
tff(function_domain,axiom,
( ( domain('fmb_$i_1') = 'fmb_$i_1' )
& ( domain('fmb_$i_2') = 'fmb_$i_2' )
& ( domain('fmb_$i_3') = 'fmb_$i_3' )
& ( domain('fmb_$i_4') = 'fmb_$i_2' )
& ( domain('fmb_$i_5') = 'fmb_$i_7' )
& ( domain('fmb_$i_6') = 'fmb_$i_7' )
& ( domain('fmb_$i_7') = 'fmb_$i_7' )
& ( domain('fmb_$i_8') = 'fmb_$i_2' ) ) ).
tff(declare_coantidomain,type,
coantidomain: $i > $i ).
tff(function_coantidomain,axiom,
( ( coantidomain('fmb_$i_1') = 'fmb_$i_2' )
& ( coantidomain('fmb_$i_2') = 'fmb_$i_1' )
& ( coantidomain('fmb_$i_3') = 'fmb_$i_7' )
& ( coantidomain('fmb_$i_4') = 'fmb_$i_1' )
& ( coantidomain('fmb_$i_5') = 'fmb_$i_1' )
& ( coantidomain('fmb_$i_6') = 'fmb_$i_7' )
& ( coantidomain('fmb_$i_7') = 'fmb_$i_3' )
& ( coantidomain('fmb_$i_8') = 'fmb_$i_7' ) ) ).
tff(declare_codomain,type,
codomain: $i > $i ).
tff(function_codomain,axiom,
( ( codomain('fmb_$i_1') = 'fmb_$i_1' )
& ( codomain('fmb_$i_2') = 'fmb_$i_2' )
& ( codomain('fmb_$i_3') = 'fmb_$i_3' )
& ( codomain('fmb_$i_4') = 'fmb_$i_2' )
& ( codomain('fmb_$i_5') = 'fmb_$i_2' )
& ( codomain('fmb_$i_6') = 'fmb_$i_3' )
& ( codomain('fmb_$i_7') = 'fmb_$i_7' )
& ( codomain('fmb_$i_8') = 'fmb_$i_3' ) ) ).
tff(declare_c,type,
c: $i > $i ).
tff(function_c,axiom,
( ( c('fmb_$i_1') = 'fmb_$i_2' )
& ( c('fmb_$i_2') = 'fmb_$i_1' )
& ( c('fmb_$i_3') = 'fmb_$i_7' )
& ( c('fmb_$i_4') = 'fmb_$i_1' )
& ( c('fmb_$i_5') = 'fmb_$i_3' )
& ( c('fmb_$i_6') = 'fmb_$i_3' )
& ( c('fmb_$i_7') = 'fmb_$i_3' )
& ( c('fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_domain_difference,type,
domain_difference: ( $i * $i ) > $i ).
tff(function_domain_difference,axiom,
( ( domain_difference('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( domain_difference('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_2','fmb_$i_3') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_2','fmb_$i_5') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_2','fmb_$i_6') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_2','fmb_$i_7') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_3','fmb_$i_6') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_3','fmb_$i_7') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_4','fmb_$i_1') = 'fmb_$i_2' )
& ( domain_difference('fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_4','fmb_$i_3') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_4','fmb_$i_5') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_4','fmb_$i_6') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_4','fmb_$i_7') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_5','fmb_$i_1') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_5','fmb_$i_3') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_6','fmb_$i_1') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_6','fmb_$i_3') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_7','fmb_$i_1') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_7','fmb_$i_3') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_8','fmb_$i_1') = 'fmb_$i_2' )
& ( domain_difference('fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_8','fmb_$i_3') = 'fmb_$i_7' )
& ( domain_difference('fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( domain_difference('fmb_$i_8','fmb_$i_5') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_8','fmb_$i_6') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_8','fmb_$i_7') = 'fmb_$i_3' )
& ( domain_difference('fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_forward_diamond,type,
forward_diamond: ( $i * $i ) > $i ).
tff(function_forward_diamond,axiom,
( ( forward_diamond('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( forward_diamond('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_2','fmb_$i_5') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_2','fmb_$i_6') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_2','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( forward_diamond('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( forward_diamond('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( forward_diamond('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
& ( forward_diamond('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_4','fmb_$i_3') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_4','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_4','fmb_$i_5') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_4','fmb_$i_6') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_4','fmb_$i_7') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_4','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_5','fmb_$i_2') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_5','fmb_$i_3') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_5','fmb_$i_4') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_5','fmb_$i_5') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_5','fmb_$i_6') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_5','fmb_$i_7') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_5','fmb_$i_8') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_6','fmb_$i_2') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_6','fmb_$i_3') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_6','fmb_$i_4') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_6','fmb_$i_8') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_7','fmb_$i_4') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_7','fmb_$i_5') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_7','fmb_$i_6') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_7','fmb_$i_8') = 'fmb_$i_7' )
& ( forward_diamond('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_8','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_8','fmb_$i_3') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_8','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_diamond('fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( forward_diamond('fmb_$i_8','fmb_$i_8') = 'fmb_$i_2' ) ) ).
tff(declare_backward_diamond,type,
backward_diamond: ( $i * $i ) > $i ).
tff(function_backward_diamond,axiom,
( ( backward_diamond('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_2','fmb_$i_6') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( backward_diamond('fmb_$i_2','fmb_$i_8') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_3','fmb_$i_6') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_3','fmb_$i_8') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_4','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_4','fmb_$i_5') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_4','fmb_$i_6') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_4','fmb_$i_7') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_4','fmb_$i_8') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_5','fmb_$i_5') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_5','fmb_$i_7') = 'fmb_$i_2' )
& ( backward_diamond('fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_6','fmb_$i_2') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_6','fmb_$i_4') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_6','fmb_$i_5') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_6','fmb_$i_7') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( backward_diamond('fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_7','fmb_$i_4') = 'fmb_$i_7' )
& ( backward_diamond('fmb_$i_7','fmb_$i_5') = 'fmb_$i_7' )
& ( backward_diamond('fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7' )
& ( backward_diamond('fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_diamond('fmb_$i_8','fmb_$i_2') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_8','fmb_$i_3') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_8','fmb_$i_4') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_8','fmb_$i_5') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_8','fmb_$i_6') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_8','fmb_$i_7') = 'fmb_$i_3' )
& ( backward_diamond('fmb_$i_8','fmb_$i_8') = 'fmb_$i_3' ) ) ).
tff(declare_forward_box,type,
forward_box: ( $i * $i ) > $i ).
tff(function_forward_box,axiom,
( ( forward_box('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_1','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_1','fmb_$i_5') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_1','fmb_$i_6') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_1','fmb_$i_7') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_1','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_2','fmb_$i_5') = 'fmb_$i_7' )
& ( forward_box('fmb_$i_2','fmb_$i_6') = 'fmb_$i_7' )
& ( forward_box('fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( forward_box('fmb_$i_2','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_3','fmb_$i_1') = 'fmb_$i_7' )
& ( forward_box('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_3','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_3','fmb_$i_5') = 'fmb_$i_7' )
& ( forward_box('fmb_$i_3','fmb_$i_6') = 'fmb_$i_7' )
& ( forward_box('fmb_$i_3','fmb_$i_7') = 'fmb_$i_7' )
& ( forward_box('fmb_$i_3','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_4','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_4','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_5','fmb_$i_1') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_5','fmb_$i_3') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_5','fmb_$i_5') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_5','fmb_$i_6') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_5','fmb_$i_7') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_5','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_6','fmb_$i_1') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_6','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_6','fmb_$i_3') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_6','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_6','fmb_$i_5') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_6','fmb_$i_6') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_6','fmb_$i_7') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_6','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_7','fmb_$i_1') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_7','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_7','fmb_$i_3') = 'fmb_$i_3' )
& ( forward_box('fmb_$i_7','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_7','fmb_$i_5') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_7','fmb_$i_6') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_7','fmb_$i_7') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_7','fmb_$i_8') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_8','fmb_$i_2') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_8','fmb_$i_3') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_8','fmb_$i_4') = 'fmb_$i_2' )
& ( forward_box('fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( forward_box('fmb_$i_8','fmb_$i_8') = 'fmb_$i_2' ) ) ).
tff(declare_backward_box,type,
backward_box: ( $i * $i ) > $i ).
tff(function_backward_box,axiom,
( ( backward_box('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_1','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_1','fmb_$i_5') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_1','fmb_$i_6') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_1','fmb_$i_7') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_1','fmb_$i_8') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_box('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( backward_box('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_2','fmb_$i_5') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_2','fmb_$i_6') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_2','fmb_$i_8') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_3','fmb_$i_1') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_3','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_3','fmb_$i_5') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_3','fmb_$i_6') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_3','fmb_$i_7') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_3','fmb_$i_8') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_box('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( backward_box('fmb_$i_4','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_4','fmb_$i_5') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_4','fmb_$i_6') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_4','fmb_$i_7') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_4','fmb_$i_8') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( backward_box('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( backward_box('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_5','fmb_$i_5') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_5','fmb_$i_6') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_5','fmb_$i_7') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_5','fmb_$i_8') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_6','fmb_$i_1') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_6','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_6','fmb_$i_3') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_6','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_6','fmb_$i_5') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_6','fmb_$i_6') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_6','fmb_$i_7') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_6','fmb_$i_8') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_7','fmb_$i_1') = 'fmb_$i_3' )
& ( backward_box('fmb_$i_7','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_7','fmb_$i_3') = 'fmb_$i_3' )
& ( backward_box('fmb_$i_7','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_7','fmb_$i_5') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_7','fmb_$i_6') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_7','fmb_$i_7') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_7','fmb_$i_8') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_8','fmb_$i_1') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_8','fmb_$i_2') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_8','fmb_$i_3') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_8','fmb_$i_4') = 'fmb_$i_2' )
& ( backward_box('fmb_$i_8','fmb_$i_5') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_8','fmb_$i_6') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_8','fmb_$i_7') = 'fmb_$i_7' )
& ( backward_box('fmb_$i_8','fmb_$i_8') = 'fmb_$i_2' ) ) ).
tff(declare_divergence,type,
divergence: $i > $i ).
tff(function_divergence,axiom,
( ( divergence('fmb_$i_1') = 'fmb_$i_1' )
& ( divergence('fmb_$i_2') = 'fmb_$i_2' )
& ( divergence('fmb_$i_3') = 'fmb_$i_3' )
& ( divergence('fmb_$i_4') = 'fmb_$i_2' )
& ( divergence('fmb_$i_5') = 'fmb_$i_7' )
& ( divergence('fmb_$i_6') = 'fmb_$i_1' )
& ( divergence('fmb_$i_7') = 'fmb_$i_7' )
& ( divergence('fmb_$i_8') = 'fmb_$i_2' ) ) ).
tff(declare_star,type,
star: $i > $i ).
tff(function_star,axiom,
( ( star('fmb_$i_1') = 'fmb_$i_4' )
& ( star('fmb_$i_2') = 'fmb_$i_4' )
& ( star('fmb_$i_3') = 'fmb_$i_4' )
& ( star('fmb_$i_4') = 'fmb_$i_1' )
& ( star('fmb_$i_5') = 'fmb_$i_8' )
& ( star('fmb_$i_6') = 'fmb_$i_4' )
& ( star('fmb_$i_7') = 'fmb_$i_8' )
& ( star('fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_leq,type,
leq: ( $i * $i ) > $o ).
tff(predicate_leq,axiom,
( leq('fmb_$i_1','fmb_$i_1')
& leq('fmb_$i_1','fmb_$i_2')
& leq('fmb_$i_1','fmb_$i_3')
& leq('fmb_$i_1','fmb_$i_4')
& leq('fmb_$i_1','fmb_$i_5')
& leq('fmb_$i_1','fmb_$i_6')
& leq('fmb_$i_1','fmb_$i_7')
& leq('fmb_$i_1','fmb_$i_8')
& ~ leq('fmb_$i_2','fmb_$i_1')
& leq('fmb_$i_2','fmb_$i_2')
& ~ leq('fmb_$i_2','fmb_$i_3')
& leq('fmb_$i_2','fmb_$i_4')
& ~ leq('fmb_$i_2','fmb_$i_5')
& ~ leq('fmb_$i_2','fmb_$i_6')
& ~ leq('fmb_$i_2','fmb_$i_7')
& ~ leq('fmb_$i_2','fmb_$i_8')
& ~ leq('fmb_$i_3','fmb_$i_1')
& leq('fmb_$i_3','fmb_$i_2')
& leq('fmb_$i_3','fmb_$i_3')
& leq('fmb_$i_3','fmb_$i_4')
& ~ leq('fmb_$i_3','fmb_$i_5')
& ~ leq('fmb_$i_3','fmb_$i_6')
& ~ leq('fmb_$i_3','fmb_$i_7')
& leq('fmb_$i_3','fmb_$i_8')
& ~ leq('fmb_$i_4','fmb_$i_1')
& ~ leq('fmb_$i_4','fmb_$i_2')
& ~ leq('fmb_$i_4','fmb_$i_3')
& leq('fmb_$i_4','fmb_$i_4')
& ~ leq('fmb_$i_4','fmb_$i_5')
& ~ leq('fmb_$i_4','fmb_$i_6')
& ~ leq('fmb_$i_4','fmb_$i_7')
& ~ leq('fmb_$i_4','fmb_$i_8')
& ~ leq('fmb_$i_5','fmb_$i_1')
& ~ leq('fmb_$i_5','fmb_$i_2')
& ~ leq('fmb_$i_5','fmb_$i_3')
& leq('fmb_$i_5','fmb_$i_4')
& leq('fmb_$i_5','fmb_$i_5')
& ~ leq('fmb_$i_5','fmb_$i_6')
& ~ leq('fmb_$i_5','fmb_$i_7')
& ~ leq('fmb_$i_5','fmb_$i_8')
& ~ leq('fmb_$i_6','fmb_$i_1')
& ~ leq('fmb_$i_6','fmb_$i_2')
& ~ leq('fmb_$i_6','fmb_$i_3')
& leq('fmb_$i_6','fmb_$i_4')
& leq('fmb_$i_6','fmb_$i_5')
& leq('fmb_$i_6','fmb_$i_6')
& ~ leq('fmb_$i_6','fmb_$i_7')
& leq('fmb_$i_6','fmb_$i_8')
& ~ leq('fmb_$i_7','fmb_$i_1')
& leq('fmb_$i_7','fmb_$i_2')
& ~ leq('fmb_$i_7','fmb_$i_3')
& leq('fmb_$i_7','fmb_$i_4')
& leq('fmb_$i_7','fmb_$i_5')
& ~ leq('fmb_$i_7','fmb_$i_6')
& leq('fmb_$i_7','fmb_$i_7')
& ~ leq('fmb_$i_7','fmb_$i_8')
& ~ leq('fmb_$i_8','fmb_$i_1')
& ~ leq('fmb_$i_8','fmb_$i_2')
& ~ leq('fmb_$i_8','fmb_$i_3')
& leq('fmb_$i_8','fmb_$i_4')
& ~ leq('fmb_$i_8','fmb_$i_5')
& ~ leq('fmb_$i_8','fmb_$i_6')
& ~ leq('fmb_$i_8','fmb_$i_7')
& leq('fmb_$i_8','fmb_$i_8') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE127+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.46 % Computer : n014.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 13:11:17 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.52 Running first-order model finding
% 0.25/0.53 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
% 45.94/7.15 % (804090)Will run a generic schedule for satisfiability detection.
% 45.94/7.15 % (804099)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3231802605:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 45.94/7.15 % (804100)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4058982503:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 45.94/7.15 % (804095)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3772279345_2999 on theBenchmark for (2999ds/0Mi)
% 45.94/7.15 % (804098)dis+10_1_sil=32000:sp=arity:random_seed=3944352811:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 45.94/7.15 % (804097)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3583252048:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 45.94/7.15 % (804101)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=573331809:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 45.94/7.15 % TRYING [1]
% 45.94/7.15 % TRYING [2]
% 45.94/7.15 % TRYING [3]
% 45.94/7.15 % (804096)% WARNING: option uhcvi not known.
% 45.94/7.15 % (804096)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=576068820:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 45.94/7.15 % TRYING [4]
% 45.94/7.15 % (804099)Instruction limit reached!
% 45.94/7.15 % (804099)------------------------------
% 45.94/7.15 % (804099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.94/7.15 % (804099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.94/7.15 % (804099)CaDiCaL version: 2.1.3
% 45.94/7.15 % (804099)Termination reason: Instruction limit
% 45.94/7.15 % (804099)Termination phase: Saturation
% 45.94/7.15 % (804099)Time elapsed: 0.059 s
% 45.94/7.15 % (804099)Peak memory usage: 12 MB
% 45.94/7.15 % (804099)Instructions burned: 116 (million)
% 45.94/7.15 % (804109)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1230611798:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 45.94/7.15 % (804098)Instruction limit reached!
% 45.94/7.15 % (804098)------------------------------
% 45.94/7.15 % (804098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.94/7.15 % (804098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.94/7.15 % (804098)CaDiCaL version: 2.1.3
% 45.94/7.15 % (804098)Termination reason: Instruction limit
% 45.94/7.15 % (804098)Termination phase: Saturation
% 45.94/7.15 % (804098)Time elapsed: 0.097 s
% 45.94/7.15 % (804098)Peak memory usage: 12 MB
% 45.94/7.15 % (804098)Instructions burned: 103 (million)
% 45.94/7.15 % (804101)Instruction limit reached!
% 45.94/7.15 % (804101)------------------------------
% 45.94/7.15 % (804101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.94/7.15 % (804101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.94/7.15 % (804101)CaDiCaL version: 2.1.3
% 45.94/7.15 % (804101)Termination reason: Instruction limit
% 45.94/7.15 % (804101)Termination phase: Saturation
% 45.94/7.15 % (804101)Time elapsed: 0.102 s
% 45.94/7.15 % (804101)Peak memory usage: 12 MB
% 45.94/7.15 % (804101)Instructions burned: 159 (million)
% 45.94/7.15 % TRYING [1]
% 45.94/7.15 % TRYING [2]
% 45.94/7.15 % TRYING [3]
% 45.94/7.15 % (804100)Instruction limit reached!
% 45.94/7.15 % (804100)------------------------------
% 45.94/7.15 % (804100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.94/7.15 % (804100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.94/7.15 % (804100)CaDiCaL version: 2.1.3
% 45.94/7.15 % (804100)Termination reason: Instruction limit
% 45.94/7.15 % (804100)Termination phase: Saturation
% 45.94/7.15 % (804100)Time elapsed: 0.127 s
% 45.94/7.15 % (804100)Peak memory usage: 12 MB
% 45.94/7.15 % (804100)Instructions burned: 131 (million)
% 45.94/7.15 % TRYING [5]
% 45.94/7.15 % (804111)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3356815245:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 45.94/7.15 % TRYING [4]
% 45.94/7.15 % (804112)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=1047053913:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 45.94/7.15 % (804113)ott-21_1_sil=16000:fs=off:random_seed=3836021347:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 45.94/7.15 % TRYING [5]
% 45.94/7.15 % (804111)Instruction limit reached!
% 45.94/7.15 % (804111)------------------------------
% 45.94/7.15 % (804111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.94/7.15 % (804111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804111)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804111)Termination reason: Instruction limit
% 35.30/9.74 % (804111)Termination phase: Saturation
% 35.30/9.74 % (804111)Time elapsed: 0.138 s
% 35.30/9.74 % (804111)Peak memory usage: 13 MB
% 35.30/9.74 % (804111)Instructions burned: 132 (million)
% 35.30/9.74 % (804113)Instruction limit reached!
% 35.30/9.74 % (804113)------------------------------
% 35.30/9.74 % (804113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804113)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804113)Termination reason: Instruction limit
% 35.30/9.74 % (804113)Termination phase: Saturation
% 35.30/9.74 % (804113)Time elapsed: 0.150 s
% 35.30/9.74 % (804113)Peak memory usage: 12 MB
% 35.30/9.74 % (804113)Instructions burned: 181 (million)
% 35.30/9.74 % (804117)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4162462136:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 35.30/9.74 % TRYING [6]
% 35.30/9.74 % (804118)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2999321735:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 35.30/9.74 % TRYING [1]
% 35.30/9.74 % TRYING [2]
% 35.30/9.74 % TRYING [3]
% 35.30/9.74 % TRYING [4]
% 35.30/9.74 % (804112)Instruction limit reached!
% 35.30/9.74 % (804112)------------------------------
% 35.30/9.74 % (804112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804112)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804112)Termination reason: Instruction limit
% 35.30/9.74 % (804112)Termination phase: Saturation
% 35.30/9.74 % (804112)Time elapsed: 0.361 s
% 35.30/9.74 % (804112)Peak memory usage: 19 MB
% 35.30/9.74 % (804112)Instructions burned: 686 (million)
% 35.30/9.74 % (804121)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=855994624:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 35.30/9.74 % TRYING [6]
% 35.30/9.74 % (804109)Instruction limit reached!
% 35.30/9.74 % (804109)------------------------------
% 35.30/9.74 % (804109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804109)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804109)Termination reason: Instruction limit
% 35.30/9.74 % (804109)Termination phase: Finite model building constraint generation
% 35.30/9.74 % (804109)Time elapsed: 0.563 s
% 35.30/9.74 % (804109)Peak memory usage: 27 MB
% 35.30/9.74 % (804109)Instructions burned: 715 (million)
% 35.30/9.74 % TRYING [5]
% 35.30/9.74 % (804123)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2065641247:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 35.30/9.74 % (804117)Instruction limit reached!
% 35.30/9.74 % (804117)------------------------------
% 35.30/9.74 % (804117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804117)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804117)Termination reason: Instruction limit
% 35.30/9.74 % (804117)Termination phase: Saturation
% 35.30/9.74 % (804117)Time elapsed: 0.471 s
% 35.30/9.74 % (804117)Peak memory usage: 15 MB
% 35.30/9.74 % (804117)Instructions burned: 477 (million)
% 35.30/9.74 % (804125)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=1931135271:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 35.30/9.74 % (804118)Instruction limit reached!
% 35.30/9.74 % (804118)------------------------------
% 35.30/9.74 % (804118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804118)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804118)Termination reason: Instruction limit
% 35.30/9.74 % (804118)Termination phase: Finite model building SAT solving
% 35.30/9.74 % (804118)Time elapsed: 0.625 s
% 35.30/9.74 % (804118)Peak memory usage: 23 MB
% 35.30/9.74 % (804118)Instructions burned: 866 (million)
% 35.30/9.74 % (804127)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3653390885:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 35.30/9.74 % (804121)Instruction limit reached!
% 35.30/9.74 % (804121)------------------------------
% 35.30/9.74 % (804121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % TRYING [14]
% 35.30/9.74 % (804121)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804121)Termination reason: Instruction limit
% 35.30/9.74 % (804121)Termination phase: Saturation
% 35.30/9.74 % (804121)Time elapsed: 0.587 s
% 35.30/9.74 % (804121)Peak memory usage: 25 MB
% 35.30/9.74 % (804121)Instructions burned: 1180 (million)
% 35.30/9.74 % (804129)fmb+10_1_sil=64000:random_seed=3622746345:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 35.30/9.74 % TRYING [1]
% 35.30/9.74 % TRYING [2]
% 35.30/9.74 % TRYING [3]
% 35.30/9.74 % TRYING [4]
% 35.30/9.74 % TRYING [5]
% 35.30/9.74 % (804123)Instruction limit reached!
% 35.30/9.74 % (804123)------------------------------
% 35.30/9.74 % (804123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804123)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804123)Termination reason: Instruction limit
% 35.30/9.74 % (804123)Termination phase: Finite model building constraint generation
% 35.30/9.74 % (804123)Time elapsed: 0.723 s
% 35.30/9.74 % (804123)Peak memory usage: 92 MB
% 35.30/9.74 % (804123)Instructions burned: 890 (million)
% 35.30/9.74 % (804125)Instruction limit reached!
% 35.30/9.74 % (804125)------------------------------
% 35.30/9.74 % (804125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804125)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804125)Termination reason: Instruction limit
% 35.30/9.74 % (804125)Termination phase: Saturation
% 35.30/9.74 % (804125)Time elapsed: 0.597 s
% 35.30/9.74 % (804125)Peak memory usage: 20 MB
% 35.30/9.74 % (804125)Instructions burned: 692 (million)
% 35.30/9.74 % (804132)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1443246877:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 35.30/9.74 % TRYING [8]
% 35.30/9.74 % (804131)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3953317631:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 35.30/9.74 % TRYING [20]
% 35.30/9.74 % TRYING [6]
% 35.30/9.74 % TRYING [7]
% 35.30/9.74 % (804127)Instruction limit reached!
% 35.30/9.74 % (804127)------------------------------
% 35.30/9.74 % (804127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804127)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804127)Termination reason: Instruction limit
% 35.30/9.74 % (804127)Termination phase: Saturation
% 35.30/9.74 % (804127)Time elapsed: 0.808 s
% 35.30/9.74 % (804127)Peak memory usage: 18 MB
% 35.30/9.74 % (804127)Instructions burned: 879 (million)
% 35.30/9.74 % (804135)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4133219549:i=5131_2980 on theBenchmark for (2980ds/5131Mi)
% 35.30/9.74 % (804132)Instruction limit reached!
% 35.30/9.74 % (804132)------------------------------
% 35.30/9.74 % (804132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804132)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804132)Termination reason: Instruction limit
% 35.30/9.74 % (804132)Termination phase: Finite model building constraint generation
% 35.30/9.74 % (804132)Time elapsed: 0.667 s
% 35.30/9.74 % (804132)Peak memory usage: 79 MB
% 35.30/9.74 % (804132)Instructions burned: 921 (million)
% 35.30/9.74 % (804137)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2243169108:i=1472:ins=7:fdi=8:gsp=on_2977 on theBenchmark for (2977ds/1472Mi)
% 35.30/9.74 % TRYING [7]
% 35.30/9.74 % (804137)Instruction limit reached!
% 35.30/9.74 % (804137)------------------------------
% 35.30/9.74 % (804137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804137)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804137)Termination reason: Instruction limit
% 35.30/9.74 % (804137)Termination phase: Saturation
% 35.30/9.74 % (804137)Time elapsed: 1.281 s
% 35.30/9.74 % (804137)Peak memory usage: 24 MB
% 35.30/9.74 % (804137)Instructions burned: 1472 (million)
% 35.30/9.74 % (804139)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=363850609:i=6324_2964 on theBenchmark for (2964ds/6324Mi)
% 35.30/9.74 % TRYING [77]
% 35.30/9.74 % TRYING [8]
% 35.30/9.74 % TRYING [8]
% 35.30/9.74 % (804135)Instruction limit reached!
% 35.30/9.74 % (804135)------------------------------
% 35.30/9.74 % (804135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804135)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804135)Termination reason: Instruction limit
% 35.30/9.74 % (804135)Termination phase: Saturation
% 35.30/9.74 % (804135)Time elapsed: 4.632 s
% 35.30/9.74 % (804135)Peak memory usage: 51 MB
% 35.30/9.74 % (804135)Instructions burned: 5132 (million)
% 35.30/9.74 % (804141)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=686401709:fmbsr=2.30978:i=2174_2933 on theBenchmark for (2933ds/2174Mi)
% 35.30/9.74 % TRYING [16]
% 35.30/9.74 % (804131)Instruction limit reached!
% 35.30/9.74 % (804131)------------------------------
% 35.30/9.74 % (804131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804131)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804131)Termination reason: Instruction limit
% 35.30/9.74 % (804131)Termination phase: Finite model building constraint generation
% 35.30/9.74 % (804131)Time elapsed: 6.424 s
% 35.30/9.74 % (804131)Peak memory usage: 653 MB
% 35.30/9.74 % (804131)Instructions burned: 9515 (million)
% 35.30/9.74 % (804141)Instruction limit reached!
% 35.30/9.74 % (804141)------------------------------
% 35.30/9.74 % (804141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804141)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804141)Termination reason: Instruction limit
% 35.30/9.74 % (804141)Termination phase: Finite model building constraint generation
% 35.30/9.74 % (804141)Time elapsed: 1.426 s
% 35.30/9.74 % (804141)Peak memory usage: 133 MB
% 35.30/9.74 % (804141)Instructions burned: 2174 (million)
% 35.30/9.74 % (804139)Instruction limit reached!
% 35.30/9.74 % (804139)------------------------------
% 35.30/9.74 % (804139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804139)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804139)Termination reason: Instruction limit
% 35.30/9.74 % (804139)Termination phase: Finite model building constraint generation
% 35.30/9.74 % (804139)Time elapsed: 4.515 s
% 35.30/9.74 % (804139)Peak memory usage: 522 MB
% 35.30/9.74 % (804139)Instructions burned: 6325 (million)
% 35.30/9.74 % (804143)ott-2_1_sil=16000:newcnf=on:random_seed=308309848:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2918 on theBenchmark for (2918ds/869Mi)
% 35.30/9.74 % (804144)ott+10_1_sil=32000:tgt=ground:random_seed=749314978:i=5114:av=off_2918 on theBenchmark for (2918ds/5114Mi)
% 35.30/9.74 % (804147)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1562359348:i=54282_2917 on theBenchmark for (2917ds/54282Mi)
% 35.30/9.74 % TRYING [1]
% 35.30/9.74 % TRYING [2]
% 35.30/9.74 % TRYING [3]
% 35.30/9.74 % TRYING [4]
% 35.30/9.74 % TRYING [5]
% 35.30/9.74 % TRYING [6]
% 35.30/9.74 % (804143)Instruction limit reached!
% 35.30/9.74 % (804143)------------------------------
% 35.30/9.74 % (804143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.74 % (804143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.74 % (804143)CaDiCaL version: 2.1.3
% 35.30/9.74 % (804143)Termination reason: Instruction limit
% 35.30/9.74 % (804143)Termination phase: Saturation
% 35.30/9.74 % (804143)Time elapsed: 0.832 s
% 35.30/9.74 % (804143)Peak memory usage: 21 MB
% 35.30/9.74 % (804143)Instructions burned: 869 (million)
% 35.30/9.74 % (804149)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3649775756:i=3512:aac=none_2909 on theBenchmark for (2909ds/3512Mi)
% 35.30/9.74 % Finite Model Found!
% 35.30/9.74 % SZS status CounterSatisfiable for theBenchmark
% 35.30/9.74 % (804129) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-804090-804129"...
% 35.30/9.74 % (804129)...printing done.
% 35.30/9.74 % SZS output start FiniteModel for theBenchmark
% See solution above
% 35.30/9.74 % (804129)------------------------------
% 35.30/9.75 % (804129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.30/9.75 % (804129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.30/9.75 % (804129)CaDiCaL version: 2.1.3
% 35.30/9.75 % (804129)Termination reason: Satisfiable
% 35.30/9.75 % (804129)Time elapsed: 7.862 s
% 35.30/9.75 % (804129)Peak memory usage: 130 MB
% 35.30/9.75 % (804129)Instructions burned: 18290 (million)
% 35.30/9.75 % (804090)Success in time 9.2 s
% 35.30/9.75 % Vampire exiting
%------------------------------------------------------------------------------