%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP003-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 02:34:19 PM UTC 2026
% Result : Satisfiable 0.25s 0.26s
% Output : FiniteModel 0.25s
% 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_cx,type,
cx: $i ).
tff(cx_definition,axiom,
cx = 'fmb_$i_1' ).
tff(declare_f,type,
f: $i ).
tff(f_definition,axiom,
f = 'fmb_$i_1' ).
tff(declare_union_of_members,type,
union_of_members: $i > $i ).
tff(function_union_of_members,axiom,
( ( union_of_members('fmb_$i_1') = 'fmb_$i_2' )
& ( union_of_members('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_f1,type,
f1: ( $i * $i ) > $i ).
tff(function_f1,axiom,
( ( f1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( f1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( f1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( f1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_top_of_basis,type,
top_of_basis: $i > $i ).
tff(function_top_of_basis,axiom,
( ( top_of_basis('fmb_$i_1') = 'fmb_$i_2' )
& ( top_of_basis('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_f11,type,
f11: ( $i * $i ) > $i ).
tff(function_f11,axiom,
( ( f11('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( f11('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( f11('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( f11('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_element_of_set,type,
element_of_set: ( $i * $i ) > $o ).
tff(predicate_element_of_set,axiom,
( element_of_set('fmb_$i_1','fmb_$i_1')
& element_of_set('fmb_$i_1','fmb_$i_2')
& element_of_set('fmb_$i_2','fmb_$i_1')
& element_of_set('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_element_of_collection,type,
element_of_collection: ( $i * $i ) > $o ).
tff(predicate_element_of_collection,axiom,
( ~ element_of_collection('fmb_$i_1','fmb_$i_1')
& ~ element_of_collection('fmb_$i_1','fmb_$i_2')
& element_of_collection('fmb_$i_2','fmb_$i_1')
& element_of_collection('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_basis,type,
basis: ( $i * $i ) > $o ).
tff(predicate_basis,axiom,
( basis('fmb_$i_1','fmb_$i_1')
& ~ basis('fmb_$i_1','fmb_$i_2')
& ~ basis('fmb_$i_2','fmb_$i_1')
& ~ basis('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_equal_sets,type,
equal_sets: ( $i * $i ) > $o ).
tff(predicate_equal_sets,axiom,
( equal_sets('fmb_$i_1','fmb_$i_1')
& equal_sets('fmb_$i_1','fmb_$i_2')
& equal_sets('fmb_$i_2','fmb_$i_1')
& equal_sets('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_subset_sets,type,
subset_sets: ( $i * $i ) > $o ).
tff(predicate_subset_sets,axiom,
( subset_sets('fmb_$i_1','fmb_$i_1')
& subset_sets('fmb_$i_1','fmb_$i_2')
& subset_sets('fmb_$i_2','fmb_$i_1')
& subset_sets('fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 18:48:55 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.25/0.26 % (2521745)Will run a generic schedule for satisfiability detection.
% 0.25/0.26 % (2521758)dis+10_1_sil=32000:sp=arity:random_seed=3525193308:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.25/0.26 % (2521756)% WARNING: option uhcvi not known.
% 0.25/0.26 % (2521755)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3182432904_3000 on theBenchmark for (3000ds/0Mi)
% 0.25/0.26 % (2521756)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2850086803:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.26 % (2521759)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1014959643:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.26 % (2521757)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3040200882:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.25/0.26 % (2521761)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3282155509:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.25/0.26 % TRYING [1]
% 0.25/0.26 % (2521762)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3304905249:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.25/0.26 % TRYING [2]
% 0.25/0.26 % Finite Model Found!
% 0.25/0.26 % SZS status Satisfiable for theBenchmark
% 0.25/0.26 % (2521755) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2521745-2521755"...
% 0.25/0.26 % (2521756) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2521745-2521756"...
% 0.25/0.26 % (2521755)...printing done.
% 0.25/0.26 % (2521756)...printing done.
% 0.25/0.26 % (2521757) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2521745-2521757"...
% 0.25/0.26 % (2521757)...printing done.
% 0.25/0.26 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.25/0.26 % (2521755)------------------------------
% 0.25/0.26 % (2521755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.26 % (2521755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.26 % (2521755)CaDiCaL version: 2.1.3
% 0.25/0.26 % (2521755)Termination reason: Satisfiable
% 0.25/0.26 % (2521755)Time elapsed: 0.002 s
% 0.25/0.26 % (2521755)Peak memory usage: 11 MB
% 0.25/0.26 % (2521755)Instructions burned: 1 (million)
% 0.25/0.26 % (2521745)Success in time 0.027 s
% 0.25/0.26 % Vampire exiting
%------------------------------------------------------------------------------