%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL073-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:38:23 AM UTC 2026
% Result : Satisfiable 1.22s 0.53s
% Output : FiniteModel 1.22s
% 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_n1,type,
n1: $i ).
tff(n1_definition,axiom,
n1 = 'fmb_$i_1' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_1' ).
tff(declare_apply,type,
apply: ( $i * $i ) > $i ).
tff(function_apply,axiom,
( ( apply('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( apply('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( apply('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( apply('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( apply('fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( apply('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( apply('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( apply('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( apply('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( apply('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( apply('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( apply('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( apply('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( apply('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( apply('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( apply('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_f,type,
f: $i > $i ).
tff(function_f,axiom,
( ( f('fmb_$i_1') = 'fmb_$i_2' )
& ( f('fmb_$i_2') = 'fmb_$i_3' )
& ( f('fmb_$i_3') = 'fmb_$i_4' )
& ( f('fmb_$i_4') = 'fmb_$i_3' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL073-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27 % Computer : n006.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Mon Sep 28 21:33:36 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.32 Running first-order model finding
% 0.27/0.32 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
% 1.22/0.53 % (229985)Will run a generic schedule for satisfiability detection.
% 1.22/0.53 % (229996)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=948253631:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.22/0.53 % (229991)% WARNING: option uhcvi not known.
% 1.22/0.53 % (229995)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=854510787:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.22/0.53 % (229992)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2069587238:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.22/0.53 % (229993)dis+10_1_sil=32000:sp=arity:random_seed=2935896908:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.22/0.53 % (229990)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1508137779_3000 on theBenchmark for (3000ds/0Mi)
% 1.22/0.53 % (229994)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1440588300:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.22/0.53 % (229991)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=910052201:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.22/0.53 % TRYING [1]
% 1.22/0.53 % TRYING [2]
% 1.22/0.53 % TRYING [3]
% 1.22/0.53 % TRYING [4]
% 1.22/0.53 % (229996)Instruction limit reached!
% 1.22/0.53 % (229996)------------------------------
% 1.22/0.53 % (229996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.53 % (229996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.53 % (229996)CaDiCaL version: 2.1.3
% 1.22/0.53 % (229996)Termination reason: Instruction limit
% 1.22/0.53 % (229996)Termination phase: Saturation
% 1.22/0.53 % (229996)Time elapsed: 0.081 s
% 1.22/0.53 % (229996)Peak memory usage: 13 MB
% 1.22/0.53 % (229996)Instructions burned: 159 (million)
% 1.22/0.53 % (230007)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2089721705:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.22/0.53 % TRYING [1]
% 1.22/0.53 % TRYING [2]
% 1.22/0.53 % TRYING [3]
% 1.22/0.53 % (229993)Instruction limit reached!
% 1.22/0.53 % (229993)------------------------------
% 1.22/0.53 % (229993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.53 % (229993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.53 % TRYING [4]
% 1.22/0.53 % (229993)CaDiCaL version: 2.1.3
% 1.22/0.53 % (229993)Termination reason: Instruction limit
% 1.22/0.53 % (229993)Termination phase: Saturation
% 1.22/0.53 % (229993)Time elapsed: 0.098 s
% 1.22/0.53 % (229993)Peak memory usage: 12 MB
% 1.22/0.53 % (229993)Instructions burned: 107 (million)
% 1.22/0.53 % (229994)Instruction limit reached!
% 1.22/0.53 % (229994)------------------------------
% 1.22/0.53 % (229994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.53 % (229994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.53 % (229994)CaDiCaL version: 2.1.3
% 1.22/0.53 % (229994)Termination reason: Instruction limit
% 1.22/0.53 % (229994)Termination phase: Saturation
% 1.22/0.53 % (229994)Time elapsed: 0.111 s
% 1.22/0.53 % (229994)Peak memory usage: 12 MB
% 1.22/0.53 % (229994)Instructions burned: 117 (million)
% 1.22/0.53 % (229995)Instruction limit reached!
% 1.22/0.53 % (229995)------------------------------
% 1.22/0.53 % (229995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.53 % (229995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.53 % (229995)CaDiCaL version: 2.1.3
% 1.22/0.53 % (229995)Termination reason: Instruction limit
% 1.22/0.53 % (229995)Termination phase: Saturation
% 1.22/0.53 % (229995)Time elapsed: 0.125 s
% 1.22/0.53 % (229995)Peak memory usage: 13 MB
% 1.22/0.53 % (229995)Instructions burned: 131 (million)
% 1.22/0.53 % (230009)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=700267373:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.22/0.53 % (230010)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=512876458:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.22/0.53 % Finite Model Found!
% 1.22/0.53 % SZS status Satisfiable for theBenchmark
% 1.22/0.53 % (230007) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-229985-230007"...
% 1.22/0.53 % (230007)...printing done.
% 1.22/0.53 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.22/0.53 % (230007)------------------------------
% 1.22/0.53 % (230007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.53 % (230007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.53 % (230007)CaDiCaL version: 2.1.3
% 1.22/0.53 % (230007)Termination reason: Satisfiable
% 1.22/0.53 % (230007)Time elapsed: 0.066 s
% 1.22/0.53 % (230007)Peak memory usage: 12 MB
% 1.22/0.53 % (230007)Instructions burned: 128 (million)
% 1.22/0.53 % (229985)Success in time 0.192 s
% 1.22/0.53 % Vampire exiting
%------------------------------------------------------------------------------