%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA024+1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:28:37 PM UTC 2026
% Result : CounterSatisfiable 0.10s 0.45s
% Output : FiniteModel 0.10s
% 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': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_4' ) ) ).
tff(declare_block_1,type,
block_1: $i ).
tff(block_1_definition,axiom,
block_1 = 'fmb_$i_1' ).
tff(declare_block_2,type,
block_2: $i ).
tff(block_2_definition,axiom,
block_2 = 'fmb_$i_2' ).
tff(declare_block_3,type,
block_3: $i ).
tff(block_3_definition,axiom,
block_3 = 'fmb_$i_3' ).
tff(declare_table,type,
table: $i ).
tff(table_definition,axiom,
table = 'fmb_$i_4' ).
tff(declare_time_0,type,
time_0: $i ).
tff(time_0_definition,axiom,
time_0 = 'fmb_$i_1' ).
tff(declare_s,type,
s: $i > $i ).
tff(function_s,axiom,
( ( s('fmb_$i_1') = 'fmb_$i_3' )
& ( s('fmb_$i_2') = 'fmb_$i_4' )
& ( s('fmb_$i_3') = 'fmb_$i_4' )
& ( s('fmb_$i_4') = 'fmb_$i_3' ) ) ).
tff(declare_nonfixed,type,
nonfixed: $i > $o ).
tff(predicate_nonfixed,axiom,
( nonfixed('fmb_$i_1')
& nonfixed('fmb_$i_2')
& nonfixed('fmb_$i_3')
& ~ nonfixed('fmb_$i_4') ) ).
tff(declare_a_block,type,
a_block: $i > $o ).
tff(predicate_a_block,axiom,
( a_block('fmb_$i_1')
& a_block('fmb_$i_2')
& a_block('fmb_$i_3')
& a_block('fmb_$i_4') ) ).
tff(declare_neq,type,
neq: ( $i * $i ) > $o ).
tff(predicate_neq,axiom,
( ~ neq('fmb_$i_1','fmb_$i_1')
& neq('fmb_$i_1','fmb_$i_2')
& neq('fmb_$i_1','fmb_$i_3')
& neq('fmb_$i_1','fmb_$i_4')
& neq('fmb_$i_2','fmb_$i_1')
& ~ neq('fmb_$i_2','fmb_$i_2')
& neq('fmb_$i_2','fmb_$i_3')
& neq('fmb_$i_2','fmb_$i_4')
& neq('fmb_$i_3','fmb_$i_1')
& neq('fmb_$i_3','fmb_$i_2')
& ~ neq('fmb_$i_3','fmb_$i_3')
& neq('fmb_$i_3','fmb_$i_4')
& neq('fmb_$i_4','fmb_$i_1')
& neq('fmb_$i_4','fmb_$i_2')
& neq('fmb_$i_4','fmb_$i_3')
& ~ neq('fmb_$i_4','fmb_$i_4') ) ).
tff(declare_time,type,
time: $i > $o ).
tff(predicate_time,axiom,
( time('fmb_$i_1')
& time('fmb_$i_2')
& time('fmb_$i_3')
& time('fmb_$i_4') ) ).
tff(declare_object,type,
object: ( $i * $i ) > $o ).
tff(predicate_object,axiom,
( object('fmb_$i_1','fmb_$i_1')
& object('fmb_$i_1','fmb_$i_2')
& object('fmb_$i_1','fmb_$i_3')
& object('fmb_$i_1','fmb_$i_4')
& ~ object('fmb_$i_2','fmb_$i_1')
& ~ object('fmb_$i_2','fmb_$i_2')
& ~ object('fmb_$i_2','fmb_$i_3')
& ~ object('fmb_$i_2','fmb_$i_4')
& ~ object('fmb_$i_3','fmb_$i_1')
& ~ object('fmb_$i_3','fmb_$i_2')
& ~ object('fmb_$i_3','fmb_$i_3')
& ~ object('fmb_$i_3','fmb_$i_4')
& ~ object('fmb_$i_4','fmb_$i_1')
& ~ object('fmb_$i_4','fmb_$i_2')
& ~ object('fmb_$i_4','fmb_$i_3')
& ~ object('fmb_$i_4','fmb_$i_4') ) ).
tff(declare_destination,type,
destination: ( $i * $i ) > $o ).
tff(predicate_destination,axiom,
( ~ destination('fmb_$i_1','fmb_$i_1')
& ~ destination('fmb_$i_1','fmb_$i_2')
& ~ destination('fmb_$i_1','fmb_$i_3')
& ~ destination('fmb_$i_1','fmb_$i_4')
& ~ destination('fmb_$i_2','fmb_$i_1')
& ~ destination('fmb_$i_2','fmb_$i_2')
& ~ destination('fmb_$i_2','fmb_$i_3')
& ~ destination('fmb_$i_2','fmb_$i_4')
& ~ destination('fmb_$i_3','fmb_$i_1')
& destination('fmb_$i_3','fmb_$i_2')
& destination('fmb_$i_3','fmb_$i_3')
& ~ destination('fmb_$i_3','fmb_$i_4')
& destination('fmb_$i_4','fmb_$i_1')
& ~ destination('fmb_$i_4','fmb_$i_2')
& ~ destination('fmb_$i_4','fmb_$i_3')
& destination('fmb_$i_4','fmb_$i_4') ) ).
tff(declare_on,type,
on: ( $i * $i * $i ) > $o ).
tff(predicate_on,axiom,
( ~ on('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ on('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ on('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ on('fmb_$i_1','fmb_$i_1','fmb_$i_4')
& on('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ on('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ on('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& ~ on('fmb_$i_1','fmb_$i_2','fmb_$i_4')
& ~ on('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ on('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& ~ on('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& on('fmb_$i_1','fmb_$i_3','fmb_$i_4')
& ~ on('fmb_$i_1','fmb_$i_4','fmb_$i_1')
& on('fmb_$i_1','fmb_$i_4','fmb_$i_2')
& on('fmb_$i_1','fmb_$i_4','fmb_$i_3')
& ~ on('fmb_$i_1','fmb_$i_4','fmb_$i_4')
& ~ on('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ on('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ on('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& ~ on('fmb_$i_2','fmb_$i_1','fmb_$i_4')
& ~ on('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ on('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ on('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ on('fmb_$i_2','fmb_$i_2','fmb_$i_4')
& ~ on('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ on('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& ~ on('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& ~ on('fmb_$i_2','fmb_$i_3','fmb_$i_4')
& on('fmb_$i_2','fmb_$i_4','fmb_$i_1')
& on('fmb_$i_2','fmb_$i_4','fmb_$i_2')
& on('fmb_$i_2','fmb_$i_4','fmb_$i_3')
& on('fmb_$i_2','fmb_$i_4','fmb_$i_4')
& ~ on('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ on('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& ~ on('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& ~ on('fmb_$i_3','fmb_$i_1','fmb_$i_4')
& ~ on('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& ~ on('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ on('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& ~ on('fmb_$i_3','fmb_$i_2','fmb_$i_4')
& ~ on('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ on('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& ~ on('fmb_$i_3','fmb_$i_3','fmb_$i_3')
& ~ on('fmb_$i_3','fmb_$i_3','fmb_$i_4')
& on('fmb_$i_3','fmb_$i_4','fmb_$i_1')
& on('fmb_$i_3','fmb_$i_4','fmb_$i_2')
& on('fmb_$i_3','fmb_$i_4','fmb_$i_3')
& on('fmb_$i_3','fmb_$i_4','fmb_$i_4')
& ~ on('fmb_$i_4','fmb_$i_1','fmb_$i_1')
& ~ on('fmb_$i_4','fmb_$i_1','fmb_$i_2')
& ~ on('fmb_$i_4','fmb_$i_1','fmb_$i_3')
& ~ on('fmb_$i_4','fmb_$i_1','fmb_$i_4')
& ~ on('fmb_$i_4','fmb_$i_2','fmb_$i_1')
& ~ on('fmb_$i_4','fmb_$i_2','fmb_$i_2')
& ~ on('fmb_$i_4','fmb_$i_2','fmb_$i_3')
& ~ on('fmb_$i_4','fmb_$i_2','fmb_$i_4')
& ~ on('fmb_$i_4','fmb_$i_3','fmb_$i_1')
& ~ on('fmb_$i_4','fmb_$i_3','fmb_$i_2')
& ~ on('fmb_$i_4','fmb_$i_3','fmb_$i_3')
& ~ on('fmb_$i_4','fmb_$i_3','fmb_$i_4')
& ~ on('fmb_$i_4','fmb_$i_4','fmb_$i_1')
& ~ on('fmb_$i_4','fmb_$i_4','fmb_$i_2')
& ~ on('fmb_$i_4','fmb_$i_4','fmb_$i_3')
& ~ on('fmb_$i_4','fmb_$i_4','fmb_$i_4') ) ).
tff(declare_source,type,
source: ( $i * $i ) > $o ).
tff(predicate_source,axiom,
( ~ source('fmb_$i_1','fmb_$i_1')
& ~ source('fmb_$i_1','fmb_$i_2')
& ~ source('fmb_$i_1','fmb_$i_3')
& ~ source('fmb_$i_1','fmb_$i_4')
& source('fmb_$i_2','fmb_$i_1')
& ~ source('fmb_$i_2','fmb_$i_2')
& ~ source('fmb_$i_2','fmb_$i_3')
& ~ source('fmb_$i_2','fmb_$i_4')
& ~ source('fmb_$i_3','fmb_$i_1')
& ~ source('fmb_$i_3','fmb_$i_2')
& ~ source('fmb_$i_3','fmb_$i_3')
& source('fmb_$i_3','fmb_$i_4')
& ~ source('fmb_$i_4','fmb_$i_1')
& source('fmb_$i_4','fmb_$i_2')
& source('fmb_$i_4','fmb_$i_3')
& ~ source('fmb_$i_4','fmb_$i_4') ) ).
tff(declare_clear,type,
clear: ( $i * $i ) > $o ).
tff(predicate_clear,axiom,
( clear('fmb_$i_1','fmb_$i_1')
& clear('fmb_$i_1','fmb_$i_2')
& clear('fmb_$i_1','fmb_$i_3')
& clear('fmb_$i_1','fmb_$i_4')
& ~ clear('fmb_$i_2','fmb_$i_1')
& clear('fmb_$i_2','fmb_$i_2')
& clear('fmb_$i_2','fmb_$i_3')
& clear('fmb_$i_2','fmb_$i_4')
& clear('fmb_$i_3','fmb_$i_1')
& clear('fmb_$i_3','fmb_$i_2')
& clear('fmb_$i_3','fmb_$i_3')
& ~ clear('fmb_$i_3','fmb_$i_4')
& ~ clear('fmb_$i_4','fmb_$i_1')
& ~ clear('fmb_$i_4','fmb_$i_2')
& ~ clear('fmb_$i_4','fmb_$i_3')
& ~ clear('fmb_$i_4','fmb_$i_4') ) ).
tff(declare_fixed,type,
fixed: $i > $o ).
tff(predicate_fixed,axiom,
( ~ fixed('fmb_$i_1')
& ~ fixed('fmb_$i_2')
& ~ fixed('fmb_$i_3')
& fixed('fmb_$i_4') ) ).
tff(declare_different,type,
different: ( $i * $i ) > $o ).
tff(predicate_different,axiom,
( ~ different('fmb_$i_1','fmb_$i_1')
& different('fmb_$i_1','fmb_$i_2')
& different('fmb_$i_1','fmb_$i_3')
& different('fmb_$i_1','fmb_$i_4')
& different('fmb_$i_2','fmb_$i_1')
& ~ different('fmb_$i_2','fmb_$i_2')
& different('fmb_$i_2','fmb_$i_3')
& different('fmb_$i_2','fmb_$i_4')
& different('fmb_$i_3','fmb_$i_1')
& different('fmb_$i_3','fmb_$i_2')
& ~ different('fmb_$i_3','fmb_$i_3')
& different('fmb_$i_3','fmb_$i_4')
& different('fmb_$i_4','fmb_$i_1')
& different('fmb_$i_4','fmb_$i_2')
& different('fmb_$i_4','fmb_$i_3')
& ~ different('fmb_$i_4','fmb_$i_4') ) ).
tff(declare_goal_time,type,
goal_time: $i > $o ).
tff(predicate_goal_time,axiom,
( goal_time('fmb_$i_1')
& goal_time('fmb_$i_2')
& goal_time('fmb_$i_3')
& goal_time('fmb_$i_4') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA024+1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:05:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.45 % (2987629)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2987634)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1823605367_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % (2987635)% WARNING: option uhcvi not known.
% 0.10/0.45 % Finite Model Found!
% 0.10/0.45 % SZS status CounterSatisfiable for theBenchmark
% 0.10/0.45 % (2987634) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2987629-2987634"...
% 0.10/0.45 % (2987639)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=774505461:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (2987637)dis+10_1_sil=32000:sp=arity:random_seed=3346622695:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (2987636)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2038141532:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (2987634)...printing done.
% 0.10/0.45 % (2987638)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=765439797:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2987640)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3981474640:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.10/0.45 % (2987634)------------------------------
% 0.10/0.45 % (2987634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2987634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2987634)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2987634)Termination reason: Satisfiable
% 0.10/0.45 % (2987634)Time elapsed: 0.007 s
% 0.10/0.45 % (2987634)Peak memory usage: 12 MB
% 0.10/0.45 % (2987634)Instructions burned: 27 (million)
% 0.10/0.45 % (2987629)Success in time 0.031 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------