%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT052-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 11:47:45 AM UTC 2026
% Result : Satisfiable 11.58s 2.13s
% Output : FiniteModel 11.58s
% 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': $i ).
tff('declare_$i9',type,
'fmb_$i_9': $i ).
tff('declare_$i10',type,
'fmb_$i_10': $i ).
tff('finite_domain_$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_$i_8' )
| ( X = 'fmb_$i_9' )
| ( X = 'fmb_$i_10' ) ) ).
tff('distinct_domain_$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_$i_1' != 'fmb_$i_9' )
& ( 'fmb_$i_1' != 'fmb_$i_10' )
& ( '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_$i_2' != 'fmb_$i_9' )
& ( 'fmb_$i_2' != 'fmb_$i_10' )
& ( '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_$i_3' != 'fmb_$i_9' )
& ( 'fmb_$i_3' != 'fmb_$i_10' )
& ( '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_$i_4' != 'fmb_$i_9' )
& ( 'fmb_$i_4' != 'fmb_$i_10' )
& ( 'fmb_$i_5' != 'fmb_$i_6' )
& ( 'fmb_$i_5' != 'fmb_$i_7' )
& ( 'fmb_$i_5' != 'fmb_$i_8' )
& ( 'fmb_$i_5' != 'fmb_$i_9' )
& ( 'fmb_$i_5' != 'fmb_$i_10' )
& ( 'fmb_$i_6' != 'fmb_$i_7' )
& ( 'fmb_$i_6' != 'fmb_$i_8' )
& ( 'fmb_$i_6' != 'fmb_$i_9' )
& ( 'fmb_$i_6' != 'fmb_$i_10' )
& ( 'fmb_$i_7' != 'fmb_$i_8' )
& ( 'fmb_$i_7' != 'fmb_$i_9' )
& ( 'fmb_$i_7' != 'fmb_$i_10' )
& ( 'fmb_$i_8' != 'fmb_$i_9' )
& ( 'fmb_$i_8' != 'fmb_$i_10' )
& ( 'fmb_$i_9' != 'fmb_$i_10' ) ) ).
tff(declare_n1,type,
n1: $i ).
tff(n1_definition,axiom,
n1 = 'fmb_$i_1' ).
tff(declare_n0,type,
n0: $i ).
tff(n0_definition,axiom,
n0 = 'fmb_$i_2' ).
tff(declare_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_3' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_4' ).
tff(declare_meet,type,
meet: ( $i * $i ) > $i ).
tff(function_meet,axiom,
( ( meet('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( meet('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( meet('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( meet('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( meet('fmb_$i_1','fmb_$i_6') = 'fmb_$i_6' )
& ( meet('fmb_$i_1','fmb_$i_7') = 'fmb_$i_7' )
& ( meet('fmb_$i_1','fmb_$i_8') = 'fmb_$i_8' )
& ( meet('fmb_$i_1','fmb_$i_9') = 'fmb_$i_9' )
& ( meet('fmb_$i_1','fmb_$i_10') = 'fmb_$i_10' )
& ( meet('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_6') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_7') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_8') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_9') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_10') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( meet('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( meet('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( meet('fmb_$i_3','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_6') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_7') = 'fmb_$i_3' )
& ( meet('fmb_$i_3','fmb_$i_8') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_9') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_10') = 'fmb_$i_2' )
& ( meet('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( meet('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( meet('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( meet('fmb_$i_4','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_4','fmb_$i_6') = 'fmb_$i_9' )
& ( meet('fmb_$i_4','fmb_$i_7') = 'fmb_$i_3' )
& ( meet('fmb_$i_4','fmb_$i_8') = 'fmb_$i_9' )
& ( meet('fmb_$i_4','fmb_$i_9') = 'fmb_$i_9' )
& ( meet('fmb_$i_4','fmb_$i_10') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( meet('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( meet('fmb_$i_5','fmb_$i_6') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_7') = 'fmb_$i_5' )
& ( meet('fmb_$i_5','fmb_$i_8') = 'fmb_$i_5' )
& ( meet('fmb_$i_5','fmb_$i_9') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_10') = 'fmb_$i_2' )
& ( meet('fmb_$i_6','fmb_$i_1') = 'fmb_$i_6' )
& ( meet('fmb_$i_6','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_6','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_6','fmb_$i_4') = 'fmb_$i_9' )
& ( meet('fmb_$i_6','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6' )
& ( meet('fmb_$i_6','fmb_$i_7') = 'fmb_$i_10' )
& ( meet('fmb_$i_6','fmb_$i_8') = 'fmb_$i_9' )
& ( meet('fmb_$i_6','fmb_$i_9') = 'fmb_$i_9' )
& ( meet('fmb_$i_6','fmb_$i_10') = 'fmb_$i_10' )
& ( meet('fmb_$i_7','fmb_$i_1') = 'fmb_$i_7' )
& ( meet('fmb_$i_7','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_7','fmb_$i_3') = 'fmb_$i_3' )
& ( meet('fmb_$i_7','fmb_$i_4') = 'fmb_$i_3' )
& ( meet('fmb_$i_7','fmb_$i_5') = 'fmb_$i_5' )
& ( meet('fmb_$i_7','fmb_$i_6') = 'fmb_$i_10' )
& ( meet('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7' )
& ( meet('fmb_$i_7','fmb_$i_8') = 'fmb_$i_5' )
& ( meet('fmb_$i_7','fmb_$i_9') = 'fmb_$i_2' )
& ( meet('fmb_$i_7','fmb_$i_10') = 'fmb_$i_10' )
& ( meet('fmb_$i_8','fmb_$i_1') = 'fmb_$i_8' )
& ( meet('fmb_$i_8','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_8','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_8','fmb_$i_4') = 'fmb_$i_9' )
& ( meet('fmb_$i_8','fmb_$i_5') = 'fmb_$i_5' )
& ( meet('fmb_$i_8','fmb_$i_6') = 'fmb_$i_9' )
& ( meet('fmb_$i_8','fmb_$i_7') = 'fmb_$i_5' )
& ( meet('fmb_$i_8','fmb_$i_8') = 'fmb_$i_8' )
& ( meet('fmb_$i_8','fmb_$i_9') = 'fmb_$i_9' )
& ( meet('fmb_$i_8','fmb_$i_10') = 'fmb_$i_2' )
& ( meet('fmb_$i_9','fmb_$i_1') = 'fmb_$i_9' )
& ( meet('fmb_$i_9','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_9','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_9','fmb_$i_4') = 'fmb_$i_9' )
& ( meet('fmb_$i_9','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_9','fmb_$i_6') = 'fmb_$i_9' )
& ( meet('fmb_$i_9','fmb_$i_7') = 'fmb_$i_2' )
& ( meet('fmb_$i_9','fmb_$i_8') = 'fmb_$i_9' )
& ( meet('fmb_$i_9','fmb_$i_9') = 'fmb_$i_9' )
& ( meet('fmb_$i_9','fmb_$i_10') = 'fmb_$i_2' )
& ( meet('fmb_$i_10','fmb_$i_1') = 'fmb_$i_10' )
& ( meet('fmb_$i_10','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_10','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_10','fmb_$i_4') = 'fmb_$i_2' )
& ( meet('fmb_$i_10','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_10','fmb_$i_6') = 'fmb_$i_10' )
& ( meet('fmb_$i_10','fmb_$i_7') = 'fmb_$i_10' )
& ( meet('fmb_$i_10','fmb_$i_8') = 'fmb_$i_2' )
& ( meet('fmb_$i_10','fmb_$i_9') = 'fmb_$i_2' )
& ( meet('fmb_$i_10','fmb_$i_10') = 'fmb_$i_10' ) ) ).
tff(declare_join,type,
join: ( $i * $i ) > $i ).
tff(function_join,axiom,
( ( join('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_9') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_10') = 'fmb_$i_1' )
& ( join('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( join('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( join('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( join('fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
& ( join('fmb_$i_2','fmb_$i_6') = 'fmb_$i_6' )
& ( join('fmb_$i_2','fmb_$i_7') = 'fmb_$i_7' )
& ( join('fmb_$i_2','fmb_$i_8') = 'fmb_$i_8' )
& ( join('fmb_$i_2','fmb_$i_9') = 'fmb_$i_9' )
& ( join('fmb_$i_2','fmb_$i_10') = 'fmb_$i_10' )
& ( join('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( join('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( join('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( join('fmb_$i_3','fmb_$i_5') = 'fmb_$i_7' )
& ( join('fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_3','fmb_$i_7') = 'fmb_$i_7' )
& ( join('fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( join('fmb_$i_3','fmb_$i_9') = 'fmb_$i_4' )
& ( join('fmb_$i_3','fmb_$i_10') = 'fmb_$i_7' )
& ( join('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( join('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( join('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( join('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( join('fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( join('fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( join('fmb_$i_4','fmb_$i_9') = 'fmb_$i_4' )
& ( join('fmb_$i_4','fmb_$i_10') = 'fmb_$i_1' )
& ( join('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( join('fmb_$i_5','fmb_$i_3') = 'fmb_$i_7' )
& ( join('fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( join('fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_5','fmb_$i_7') = 'fmb_$i_7' )
& ( join('fmb_$i_5','fmb_$i_8') = 'fmb_$i_8' )
& ( join('fmb_$i_5','fmb_$i_9') = 'fmb_$i_8' )
& ( join('fmb_$i_5','fmb_$i_10') = 'fmb_$i_7' )
& ( join('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_2') = 'fmb_$i_6' )
& ( join('fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6' )
& ( join('fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_9') = 'fmb_$i_6' )
& ( join('fmb_$i_6','fmb_$i_10') = 'fmb_$i_6' )
& ( join('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_7','fmb_$i_2') = 'fmb_$i_7' )
& ( join('fmb_$i_7','fmb_$i_3') = 'fmb_$i_7' )
& ( join('fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_7','fmb_$i_5') = 'fmb_$i_7' )
& ( join('fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7' )
& ( join('fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( join('fmb_$i_7','fmb_$i_9') = 'fmb_$i_1' )
& ( join('fmb_$i_7','fmb_$i_10') = 'fmb_$i_7' )
& ( join('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_8','fmb_$i_2') = 'fmb_$i_8' )
& ( join('fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( join('fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_8','fmb_$i_5') = 'fmb_$i_8' )
& ( join('fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( join('fmb_$i_8','fmb_$i_8') = 'fmb_$i_8' )
& ( join('fmb_$i_8','fmb_$i_9') = 'fmb_$i_8' )
& ( join('fmb_$i_8','fmb_$i_10') = 'fmb_$i_1' )
& ( join('fmb_$i_9','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_9','fmb_$i_2') = 'fmb_$i_9' )
& ( join('fmb_$i_9','fmb_$i_3') = 'fmb_$i_4' )
& ( join('fmb_$i_9','fmb_$i_4') = 'fmb_$i_4' )
& ( join('fmb_$i_9','fmb_$i_5') = 'fmb_$i_8' )
& ( join('fmb_$i_9','fmb_$i_6') = 'fmb_$i_6' )
& ( join('fmb_$i_9','fmb_$i_7') = 'fmb_$i_1' )
& ( join('fmb_$i_9','fmb_$i_8') = 'fmb_$i_8' )
& ( join('fmb_$i_9','fmb_$i_9') = 'fmb_$i_9' )
& ( join('fmb_$i_9','fmb_$i_10') = 'fmb_$i_6' )
& ( join('fmb_$i_10','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_10','fmb_$i_2') = 'fmb_$i_10' )
& ( join('fmb_$i_10','fmb_$i_3') = 'fmb_$i_7' )
& ( join('fmb_$i_10','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_10','fmb_$i_5') = 'fmb_$i_7' )
& ( join('fmb_$i_10','fmb_$i_6') = 'fmb_$i_6' )
& ( join('fmb_$i_10','fmb_$i_7') = 'fmb_$i_7' )
& ( join('fmb_$i_10','fmb_$i_8') = 'fmb_$i_1' )
& ( join('fmb_$i_10','fmb_$i_9') = 'fmb_$i_6' )
& ( join('fmb_$i_10','fmb_$i_10') = 'fmb_$i_10' ) ) ).
tff(declare_complement,type,
complement: $i > $i ).
tff(function_complement,axiom,
( ( complement('fmb_$i_1') = 'fmb_$i_2' )
& ( complement('fmb_$i_2') = 'fmb_$i_1' )
& ( complement('fmb_$i_3') = 'fmb_$i_6' )
& ( complement('fmb_$i_4') = 'fmb_$i_5' )
& ( complement('fmb_$i_5') = 'fmb_$i_4' )
& ( complement('fmb_$i_6') = 'fmb_$i_3' )
& ( complement('fmb_$i_7') = 'fmb_$i_9' )
& ( complement('fmb_$i_8') = 'fmb_$i_10' )
& ( complement('fmb_$i_9') = 'fmb_$i_7' )
& ( complement('fmb_$i_10') = 'fmb_$i_8' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT052-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 % Computer : n001.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 27 14:04:00 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 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
% 11.58/2.13 % (3592492)Will run a generic schedule for satisfiability detection.
% 11.58/2.13 % (3592510)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3885639688_2999 on theBenchmark for (2999ds/0Mi)
% 11.58/2.13 % TRYING [1]
% 11.58/2.13 % TRYING [2]
% 11.58/2.13 % TRYING [3]
% 11.58/2.13 % TRYING [4]
% 11.58/2.13 % (3592511)% WARNING: option uhcvi not known.
% 11.58/2.13 % (3592514)dis+10_1_sil=32000:sp=arity:random_seed=3665675808:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.58/2.13 % (3592511)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2793280918:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.58/2.13 % (3592512)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4278296656:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.58/2.13 % (3592516)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2008317373:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.58/2.13 % (3592515)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=44375117:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.58/2.13 % (3592517)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2490572583:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.58/2.13 % TRYING [5]
% 11.58/2.13 % TRYING [6]
% 11.58/2.13 % (3592514)Instruction limit reached!
% 11.58/2.13 % (3592514)------------------------------
% 11.58/2.13 % (3592514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592514)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592514)Termination reason: Instruction limit
% 11.58/2.13 % (3592514)Termination phase: Saturation
% 11.58/2.13 % (3592514)Time elapsed: 0.058 s
% 11.58/2.13 % (3592514)Peak memory usage: 12 MB
% 11.58/2.13 % (3592514)Instructions burned: 105 (million)
% 11.58/2.13 % TRYING [7]
% 11.58/2.13 % (3592515)Instruction limit reached!
% 11.58/2.13 % (3592515)------------------------------
% 11.58/2.13 % (3592515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592515)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592515)Termination reason: Instruction limit
% 11.58/2.13 % (3592515)Termination phase: Saturation
% 11.58/2.13 % (3592515)Time elapsed: 0.068 s
% 11.58/2.13 % (3592515)Peak memory usage: 12 MB
% 11.58/2.13 % (3592515)Instructions burned: 120 (million)
% 11.58/2.13 % (3592543)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2912405221:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 11.58/2.13 % TRYING [1]
% 11.58/2.13 % TRYING [2]
% 11.58/2.13 % TRYING [3]
% 11.58/2.13 % TRYING [4]
% 11.58/2.13 % (3592547)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=777354650:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.58/2.13 % (3592516)Instruction limit reached!
% 11.58/2.13 % (3592516)------------------------------
% 11.58/2.13 % (3592516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592516)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592516)Termination reason: Instruction limit
% 11.58/2.13 % (3592516)Termination phase: Saturation
% 11.58/2.13 % (3592516)Time elapsed: 0.091 s
% 11.58/2.13 % (3592516)Peak memory usage: 12 MB
% 11.58/2.13 % (3592516)Instructions burned: 131 (million)
% 11.58/2.13 % (3592517)Instruction limit reached!
% 11.58/2.13 % (3592517)------------------------------
% 11.58/2.13 % (3592517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592517)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592517)Termination reason: Instruction limit
% 11.58/2.13 % (3592517)Termination phase: Saturation
% 11.58/2.13 % (3592517)Time elapsed: 0.091 s
% 11.58/2.13 % (3592517)Peak memory usage: 12 MB
% 11.58/2.13 % (3592517)Instructions burned: 160 (million)
% 11.58/2.13 % TRYING [5]
% 11.58/2.13 % (3592555)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=3791234463:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.58/2.13 % (3592556)ott-21_1_sil=16000:fs=off:random_seed=3566394170:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.58/2.13 % TRYING [6]
% 11.58/2.13 % TRYING [8]
% 11.58/2.13 % (3592547)Instruction limit reached!
% 11.58/2.13 % (3592547)------------------------------
% 11.58/2.13 % (3592547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592547)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592547)Termination reason: Instruction limit
% 11.58/2.13 % (3592547)Termination phase: Saturation
% 11.58/2.13 % (3592547)Time elapsed: 0.080 s
% 11.58/2.13 % (3592547)Peak memory usage: 13 MB
% 11.58/2.13 % (3592547)Instructions burned: 131 (million)
% 11.58/2.13 % (3592570)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=784486154:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.58/2.13 % (3592556)Instruction limit reached!
% 11.58/2.13 % (3592556)------------------------------
% 11.58/2.13 % (3592556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592556)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592556)Termination reason: Instruction limit
% 11.58/2.13 % (3592556)Termination phase: Saturation
% 11.58/2.13 % (3592556)Time elapsed: 0.083 s
% 11.58/2.13 % (3592556)Peak memory usage: 12 MB
% 11.58/2.13 % (3592556)Instructions burned: 182 (million)
% 11.58/2.13 % (3592577)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3504894747:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.58/2.13 % TRYING [1]
% 11.58/2.13 % TRYING [2]
% 11.58/2.13 % TRYING [3]
% 11.58/2.13 % TRYING [4]
% 11.58/2.13 % TRYING [7]
% 11.58/2.13 % TRYING [5]
% 11.58/2.13 % TRYING [6]
% 11.58/2.13 % (3592543)Instruction limit reached!
% 11.58/2.13 % (3592543)------------------------------
% 11.58/2.13 % (3592543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592543)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592543)Termination reason: Instruction limit
% 11.58/2.13 % (3592543)Termination phase: Finite model building constraint generation
% 11.58/2.13 % (3592543)Time elapsed: 0.278 s
% 11.58/2.13 % (3592543)Peak memory usage: 30 MB
% 11.58/2.13 % (3592543)Instructions burned: 715 (million)
% 11.58/2.13 % (3592584)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2651212458:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 11.58/2.13 % TRYING [9]
% 11.58/2.13 % (3592570)Instruction limit reached!
% 11.58/2.13 % (3592570)------------------------------
% 11.58/2.13 % (3592570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592570)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592570)Termination reason: Instruction limit
% 11.58/2.13 % (3592570)Termination phase: Saturation
% 11.58/2.13 % (3592570)Time elapsed: 0.252 s
% 11.58/2.13 % (3592570)Peak memory usage: 15 MB
% 11.58/2.13 % (3592570)Instructions burned: 477 (million)
% 11.58/2.13 % (3592555)Instruction limit reached!
% 11.58/2.13 % (3592555)------------------------------
% 11.58/2.13 % (3592555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592555)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592555)Termination reason: Instruction limit
% 11.58/2.13 % (3592555)Termination phase: Saturation
% 11.58/2.13 % (3592555)Time elapsed: 0.361 s
% 11.58/2.13 % (3592555)Peak memory usage: 17 MB
% 11.58/2.13 % (3592555)Instructions burned: 685 (million)
% 11.58/2.13 % (3592588)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3954339496:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.58/2.13 % (3592591)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=2118503100: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)
% 11.58/2.13 % TRYING [7]
% 11.58/2.13 % (3592577)Instruction limit reached!
% 11.58/2.13 % (3592577)------------------------------
% 11.58/2.13 % (3592577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592577)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592577)Termination reason: Instruction limit
% 11.58/2.13 % (3592577)Termination phase: Finite model building constraint generation
% 11.58/2.13 % (3592577)Time elapsed: 0.336 s
% 11.58/2.13 % (3592577)Peak memory usage: 21 MB
% 11.58/2.13 % (3592577)Instructions burned: 866 (million)
% 11.58/2.13 % TRYING [14]
% 11.58/2.13 % (3592603)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4192757354:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 11.58/2.13 % TRYING [10]
% 11.58/2.13 % (3592588)Instruction limit reached!
% 11.58/2.13 % (3592588)------------------------------
% 11.58/2.13 % (3592588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592588)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592588)Termination reason: Instruction limit
% 11.58/2.13 % (3592588)Termination phase: Finite model building constraint generation
% 11.58/2.13 % (3592588)Time elapsed: 0.330 s
% 11.58/2.13 % (3592588)Peak memory usage: 77 MB
% 11.58/2.13 % (3592588)Instructions burned: 890 (million)
% 11.58/2.13 % (3592605)fmb+10_1_sil=64000:random_seed=546309644:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 11.58/2.13 % TRYING [1]
% 11.58/2.13 % TRYING [2]
% 11.58/2.13 % TRYING [3]
% 11.58/2.13 % TRYING [4]
% 11.58/2.13 % (3592591)Instruction limit reached!
% 11.58/2.13 % (3592591)------------------------------
% 11.58/2.13 % (3592591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592591)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592591)Termination reason: Instruction limit
% 11.58/2.13 % (3592591)Termination phase: Saturation
% 11.58/2.13 % (3592591)Time elapsed: 0.381 s
% 11.58/2.13 % (3592591)Peak memory usage: 17 MB
% 11.58/2.13 % (3592591)Instructions burned: 693 (million)
% 11.58/2.13 % TRYING [5]
% 11.58/2.13 % (3592607)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1921059444:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 11.58/2.13 % TRYING [20]
% 11.58/2.13 % TRYING [6]
% 11.58/2.13 % (3592603)Instruction limit reached!
% 11.58/2.13 % (3592603)------------------------------
% 11.58/2.13 % (3592603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592603)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592603)Termination reason: Instruction limit
% 11.58/2.13 % (3592603)Termination phase: Saturation
% 11.58/2.13 % (3592603)Time elapsed: 0.457 s
% 11.58/2.13 % (3592603)Peak memory usage: 18 MB
% 11.58/2.13 % (3592603)Instructions burned: 880 (million)
% 11.58/2.13 % (3592609)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3065096021:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 11.58/2.13 % TRYING [8]
% 11.58/2.13 % TRYING [7]
% 11.58/2.13 % (3592584)Instruction limit reached!
% 11.58/2.13 % (3592584)------------------------------
% 11.58/2.13 % (3592584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.13 % (3592584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.13 % (3592584)CaDiCaL version: 2.1.3
% 11.58/2.13 % (3592584)Termination reason: Instruction limit
% 11.58/2.13 % (3592584)Termination phase: Saturation
% 11.58/2.13 % (3592584)Time elapsed: 0.848 s
% 11.58/2.13 % (3592584)Peak memory usage: 22 MB
% 11.58/2.13 % (3592584)Instructions burned: 1180 (million)
% 11.58/2.13 % (3592620)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1494644448:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 11.58/2.13 % Finite Model Found!
% 11.58/2.13 % SZS status Satisfiable for theBenchmark
% 11.58/2.13 % (3592510) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3592492-3592510"...
% 11.58/2.13 % (3592510)...printing done.
% 11.58/2.13 % SZS output start FiniteModel for theBenchmark
% See solution above
% 11.58/2.14 % (3592510)------------------------------
% 11.58/2.14 % (3592510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.14 % (3592510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.14 % (3592510)CaDiCaL version: 2.1.3
% 11.58/2.14 % (3592510)Termination reason: Satisfiable
% 11.58/2.14 % (3592510)Time elapsed: 1.627 s
% 11.58/2.14 % (3592510)Peak memory usage: 150 MB
% 11.58/2.14 % (3592510)Instructions burned: 6131 (million)
% 11.58/2.14 % (3592492)Success in time 1.707 s
% 11.58/2.14 % Vampire exiting
%------------------------------------------------------------------------------