%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP045-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:08:35 PM UTC 2026
% Result : Satisfiable 0.13s 0.44s
% Output : FiniteModel 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_skc33,type,
skc33: $i ).
tff(skc33_definition,axiom,
skc33 = 'fmb_$i_1' ).
tff(declare_skc12,type,
skc12: $i ).
tff(skc12_definition,axiom,
skc12 = 'fmb_$i_2' ).
tff(declare_skc34,type,
skc34: $i ).
tff(skc34_definition,axiom,
skc34 = 'fmb_$i_1' ).
tff(declare_skc37,type,
skc37: $i ).
tff(skc37_definition,axiom,
skc37 = 'fmb_$i_1' ).
tff(declare_skc38,type,
skc38: $i ).
tff(skc38_definition,axiom,
skc38 = 'fmb_$i_2' ).
tff(declare_skc35,type,
skc35: $i ).
tff(skc35_definition,axiom,
skc35 = 'fmb_$i_1' ).
tff(declare_skc36,type,
skc36: $i ).
tff(skc36_definition,axiom,
skc36 = 'fmb_$i_2' ).
tff(declare_skc13,type,
skc13: $i ).
tff(skc13_definition,axiom,
skc13 = 'fmb_$i_2' ).
tff(declare_skc16,type,
skc16: $i ).
tff(skc16_definition,axiom,
skc16 = 'fmb_$i_2' ).
tff(declare_skc17,type,
skc17: $i ).
tff(skc17_definition,axiom,
skc17 = 'fmb_$i_2' ).
tff(declare_skc14,type,
skc14: $i ).
tff(skc14_definition,axiom,
skc14 = 'fmb_$i_2' ).
tff(declare_skc15,type,
skc15: $i ).
tff(skc15_definition,axiom,
skc15 = 'fmb_$i_2' ).
tff(declare_skf8,type,
skf8: ( $i * $i * $i ) > $i ).
tff(function_skf8,axiom,
( ( skf8('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf8('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf8('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf8('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( skf8('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf8('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf8('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf8('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf6,type,
skf6: ( $i * $i * $i ) > $i ).
tff(function_skf6,axiom,
( ( skf6('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf6('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf6('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf6('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( skf6('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf6('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf6('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf6('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf10,type,
skf10: ( $i * $i ) > $i ).
tff(function_skf10,axiom,
( ( skf10('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf10('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf10('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf10('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_skf5,type,
skf5: ( $i * $i ) > $i ).
tff(function_skf5,axiom,
( ( skf5('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( skf5('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( skf5('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( skf5('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ssSkC0,type,
ssSkC0: $o ).
tff(ssSkC0_definition,axiom,
~ ssSkC0 ).
tff(declare_actual_world,type,
actual_world: $i > $o ).
tff(predicate_actual_world,axiom,
( actual_world('fmb_$i_1')
& actual_world('fmb_$i_2') ) ).
tff(declare_group,type,
group: ( $i * $i ) > $o ).
tff(predicate_group,axiom,
( group('fmb_$i_1','fmb_$i_1')
& ~ group('fmb_$i_1','fmb_$i_2')
& ~ group('fmb_$i_2','fmb_$i_1')
& group('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_five,type,
five: ( $i * $i ) > $o ).
tff(predicate_five,axiom,
( five('fmb_$i_1','fmb_$i_1')
& ~ five('fmb_$i_1','fmb_$i_2')
& ~ five('fmb_$i_2','fmb_$i_1')
& five('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_nonhuman,type,
nonhuman: ( $i * $i ) > $o ).
tff(predicate_nonhuman,axiom,
( nonhuman('fmb_$i_1','fmb_$i_1')
& nonhuman('fmb_$i_1','fmb_$i_2')
& nonhuman('fmb_$i_2','fmb_$i_1')
& nonhuman('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_mia_forename,type,
mia_forename: ( $i * $i ) > $o ).
tff(predicate_mia_forename,axiom,
( mia_forename('fmb_$i_1','fmb_$i_1')
& ~ mia_forename('fmb_$i_1','fmb_$i_2')
& ~ mia_forename('fmb_$i_2','fmb_$i_1')
& mia_forename('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_forename,type,
forename: ( $i * $i ) > $o ).
tff(predicate_forename,axiom,
( forename('fmb_$i_1','fmb_$i_1')
& forename('fmb_$i_1','fmb_$i_2')
& forename('fmb_$i_2','fmb_$i_1')
& forename('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_woman,type,
woman: ( $i * $i ) > $o ).
tff(predicate_woman,axiom,
( ~ woman('fmb_$i_1','fmb_$i_1')
& woman('fmb_$i_1','fmb_$i_2')
& ~ woman('fmb_$i_2','fmb_$i_1')
& woman('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_event,type,
event: ( $i * $i ) > $o ).
tff(predicate_event,axiom,
( event('fmb_$i_1','fmb_$i_1')
& event('fmb_$i_1','fmb_$i_2')
& event('fmb_$i_2','fmb_$i_1')
& event('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_past,type,
past: ( $i * $i ) > $o ).
tff(predicate_past,axiom,
( past('fmb_$i_1','fmb_$i_1')
& past('fmb_$i_1','fmb_$i_2')
& past('fmb_$i_2','fmb_$i_1')
& past('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_nonreflexive,type,
nonreflexive: ( $i * $i ) > $o ).
tff(predicate_nonreflexive,axiom,
( nonreflexive('fmb_$i_1','fmb_$i_1')
& nonreflexive('fmb_$i_1','fmb_$i_2')
& ~ nonreflexive('fmb_$i_2','fmb_$i_1')
& nonreflexive('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_order,type,
order: ( $i * $i ) > $o ).
tff(predicate_order,axiom,
( order('fmb_$i_1','fmb_$i_1')
& ~ order('fmb_$i_1','fmb_$i_2')
& ~ order('fmb_$i_2','fmb_$i_1')
& order('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_shake_beverage,type,
shake_beverage: ( $i * $i ) > $o ).
tff(predicate_shake_beverage,axiom,
( ~ shake_beverage('fmb_$i_1','fmb_$i_1')
& shake_beverage('fmb_$i_1','fmb_$i_2')
& ~ shake_beverage('fmb_$i_2','fmb_$i_1')
& shake_beverage('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_ssSkP0,type,
ssSkP0: ( $i * $i * $i ) > $o ).
tff(predicate_ssSkP0,axiom,
( ssSkP0('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ ssSkP0('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ssSkP0('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ ssSkP0('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ ssSkP0('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ssSkP0('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ ssSkP0('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ssSkP0('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_agent,type,
agent: ( $i * $i * $i ) > $o ).
tff(predicate_agent,axiom,
( ~ agent('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& agent('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& agent('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ agent('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ agent('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ agent('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ agent('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& agent('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_of,type,
of: ( $i * $i * $i ) > $o ).
tff(predicate_of,axiom,
( ~ of('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& of('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ of('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ of('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ of('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ of('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ of('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& of('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_patient,type,
patient: ( $i * $i * $i ) > $o ).
tff(predicate_patient,axiom,
( ~ patient('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& patient('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ patient('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& patient('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ patient('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ patient('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ patient('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& patient('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_member,type,
member: ( $i * $i * $i ) > $o ).
tff(predicate_member,axiom,
( ~ member('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ member('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& member('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& member('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ member('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ member('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& member('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& member('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_dollar,type,
dollar: ( $i * $i ) > $o ).
tff(predicate_dollar,axiom,
( ~ dollar('fmb_$i_1','fmb_$i_1')
& dollar('fmb_$i_1','fmb_$i_2')
& ~ dollar('fmb_$i_2','fmb_$i_1')
& ~ dollar('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_present,type,
present: ( $i * $i ) > $o ).
tff(predicate_present,axiom,
( present('fmb_$i_1','fmb_$i_1')
& present('fmb_$i_1','fmb_$i_2')
& present('fmb_$i_2','fmb_$i_1')
& present('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_cost,type,
cost: ( $i * $i ) > $o ).
tff(predicate_cost,axiom,
( ~ cost('fmb_$i_1','fmb_$i_1')
& cost('fmb_$i_1','fmb_$i_2')
& ~ cost('fmb_$i_2','fmb_$i_1')
& cost('fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP045-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 17:57:16 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 0.13/0.44 % (3843841)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (3843846)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2495151832_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.44 % TRYING [1]
% 0.13/0.44 % TRYING [2]
% 0.13/0.44 % Finite Model Found!
% 0.13/0.44 % SZS status Satisfiable for theBenchmark
% 0.13/0.44 % (3843846) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3843841-3843846"...
% 0.13/0.44 % (3843846)...printing done.
% 0.13/0.44 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.13/0.44 % (3843846)------------------------------
% 0.13/0.44 % (3843846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (3843846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (3843846)CaDiCaL version: 2.1.3
% 0.13/0.44 % (3843846)Termination reason: Satisfiable
% 0.13/0.44 % (3843846)Time elapsed: 0.004 s
% 0.13/0.44 % (3843846)Peak memory usage: 11 MB
% 0.13/0.44 % (3843846)Instructions burned: 12 (million)
% 0.13/0.44 % (3843841)Success in time 0.037 s
% 0.13/0.44 % Vampire exiting
%------------------------------------------------------------------------------