%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW406-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:39:57 PM UTC 2026
% Result : Satisfiable 1.03s 0.39s
% Output : FiniteModel 1.03s
% 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': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' ) ) ).
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_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_5' ) ) ).
tff(declare_nil,type,
nil: $i ).
tff(nil_definition,axiom,
nil = 'fmb_$i_1' ).
tff(declare_x1,type,
x1: $i ).
tff(x1_definition,axiom,
x1 = 'fmb_$i_2' ).
tff(declare_x2,type,
x2: $i ).
tff(x2_definition,axiom,
x2 = 'fmb_$i_2' ).
tff(declare_x3,type,
x3: $i ).
tff(x3_definition,axiom,
x3 = 'fmb_$i_3' ).
tff(declare_emp,type,
emp: $i ).
tff(emp_definition,axiom,
emp = 'fmb_$i_1' ).
tff(declare_x4,type,
x4: $i ).
tff(x4_definition,axiom,
x4 = 'fmb_$i_3' ).
tff(declare_sep,type,
sep: ( $i * $i ) > $i ).
tff(function_sep,axiom,
( ( sep('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( sep('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sep('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( sep('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( sep('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( sep('fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( sep('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( sep('fmb_$i_2','fmb_$i_3') = 'fmb_$i_5' )
& ( sep('fmb_$i_2','fmb_$i_4') = 'fmb_$i_5' )
& ( sep('fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
& ( sep('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( sep('fmb_$i_3','fmb_$i_2') = 'fmb_$i_5' )
& ( sep('fmb_$i_3','fmb_$i_3') = 'fmb_$i_5' )
& ( sep('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( sep('fmb_$i_3','fmb_$i_5') = 'fmb_$i_5' )
& ( sep('fmb_$i_4','fmb_$i_1') = 'fmb_$i_5' )
& ( sep('fmb_$i_4','fmb_$i_2') = 'fmb_$i_5' )
& ( sep('fmb_$i_4','fmb_$i_3') = 'fmb_$i_5' )
& ( sep('fmb_$i_4','fmb_$i_4') = 'fmb_$i_5' )
& ( sep('fmb_$i_4','fmb_$i_5') = 'fmb_$i_5' )
& ( sep('fmb_$i_5','fmb_$i_1') = 'fmb_$i_4' )
& ( sep('fmb_$i_5','fmb_$i_2') = 'fmb_$i_3' )
& ( sep('fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( sep('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( sep('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_lseg,type,
lseg: ( $i * $i ) > $i ).
tff(function_lseg,axiom,
( ( lseg('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( lseg('fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( lseg('fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( lseg('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( lseg('fmb_$i_1','fmb_$i_5') = 'fmb_$i_4' )
& ( lseg('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( lseg('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( lseg('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( lseg('fmb_$i_2','fmb_$i_4') = 'fmb_$i_3' )
& ( lseg('fmb_$i_2','fmb_$i_5') = 'fmb_$i_3' )
& ( lseg('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( lseg('fmb_$i_3','fmb_$i_2') = 'fmb_$i_5' )
& ( lseg('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( lseg('fmb_$i_3','fmb_$i_4') = 'fmb_$i_2' )
& ( lseg('fmb_$i_3','fmb_$i_5') = 'fmb_$i_2' )
& ( lseg('fmb_$i_4','fmb_$i_1') = 'fmb_$i_5' )
& ( lseg('fmb_$i_4','fmb_$i_2') = 'fmb_$i_5' )
& ( lseg('fmb_$i_4','fmb_$i_3') = 'fmb_$i_5' )
& ( lseg('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( lseg('fmb_$i_4','fmb_$i_5') = 'fmb_$i_5' )
& ( lseg('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( lseg('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( lseg('fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( lseg('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( lseg('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' ) ) ).
tff(declare_next,type,
next: ( $i * $i ) > $i ).
tff(function_next,axiom,
( ( next('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( next('fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( next('fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( next('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( next('fmb_$i_1','fmb_$i_5') = 'fmb_$i_4' )
& ( next('fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( next('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( next('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( next('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( next('fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( next('fmb_$i_3','fmb_$i_1') = 'fmb_$i_5' )
& ( next('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( next('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( next('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( next('fmb_$i_3','fmb_$i_5') = 'fmb_$i_4' )
& ( next('fmb_$i_4','fmb_$i_1') = 'fmb_$i_5' )
& ( next('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( next('fmb_$i_4','fmb_$i_3') = 'fmb_$i_5' )
& ( next('fmb_$i_4','fmb_$i_4') = 'fmb_$i_5' )
& ( next('fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( next('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( next('fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( next('fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( next('fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( next('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_heap,type,
heap: $i > $o ).
tff(predicate_heap,axiom,
( heap('fmb_$i_1')
& heap('fmb_$i_2')
& heap('fmb_$i_3')
& heap('fmb_$i_4')
& ~ heap('fmb_$i_5') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW406-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 13:49:36 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 1.03/0.39 % (1186859)Will run a generic schedule for satisfiability detection.
% 1.03/0.39 % (1186865)% WARNING: option uhcvi not known.
% 1.03/0.39 % (1186865)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=654395828:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.03/0.39 % (1186864)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=144097722_2999 on theBenchmark for (2999ds/0Mi)
% 1.03/0.39 % (1186866)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=169707031:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.03/0.39 % (1186867)dis+10_1_sil=32000:sp=arity:random_seed=3460425103:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.03/0.39 % (1186869)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1469009734:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.03/0.39 % (1186868)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=606601679:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.03/0.39 % (1186870)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2931046594:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.03/0.39 % Detected minimum model sizes of [3]
% 1.03/0.39 % Detected maximum model sizes of [max]
% 1.03/0.39 % TRYING [3]
% 1.03/0.39 % TRYING [4]
% 1.03/0.39 % TRYING [5]
% 1.03/0.39 % (1186867)Instruction limit reached!
% 1.03/0.39 % (1186867)------------------------------
% 1.03/0.39 % (1186867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.39 % (1186867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.39 % (1186867)CaDiCaL version: 2.1.3
% 1.03/0.39 % (1186867)Termination reason: Instruction limit
% 1.03/0.39 % (1186867)Termination phase: Saturation
% 1.03/0.39 % (1186867)Time elapsed: 0.061 s
% 1.03/0.39 % (1186867)Peak memory usage: 12 MB
% 1.03/0.39 % (1186867)Instructions burned: 103 (million)
% 1.03/0.39 % (1186868)Instruction limit reached!
% 1.03/0.39 % (1186868)------------------------------
% 1.03/0.39 % (1186868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.39 % (1186868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.39 % (1186868)CaDiCaL version: 2.1.3
% 1.03/0.39 % (1186868)Termination reason: Instruction limit
% 1.03/0.39 % (1186868)Termination phase: Saturation
% 1.03/0.39 % (1186868)Time elapsed: 0.065 s
% 1.03/0.39 % (1186868)Peak memory usage: 12 MB
% 1.03/0.39 % (1186868)Instructions burned: 117 (million)
% 1.03/0.39 % (1186869)Instruction limit reached!
% 1.03/0.39 % (1186869)------------------------------
% 1.03/0.39 % (1186869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.39 % (1186869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.39 % (1186869)CaDiCaL version: 2.1.3
% 1.03/0.39 % (1186869)Termination reason: Instruction limit
% 1.03/0.39 % (1186869)Termination phase: Saturation
% 1.03/0.39 % (1186869)Time elapsed: 0.073 s
% 1.03/0.39 % (1186869)Peak memory usage: 12 MB
% 1.03/0.39 % (1186869)Instructions burned: 131 (million)
% 1.03/0.39 % (1186878)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2839656965:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.03/0.39 % (1186879)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1120342994:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.03/0.39 % Detected minimum model sizes of [3]
% 1.03/0.39 % Detected maximum model sizes of [max]
% 1.03/0.39 % TRYING [3]
% 1.03/0.39 % (1186880)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=329757797:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.03/0.39 % (1186870)Instruction limit reached!
% 1.03/0.39 % (1186870)------------------------------
% 1.03/0.39 % (1186870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.39 % (1186870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.39 % (1186870)CaDiCaL version: 2.1.3
% 1.03/0.39 % (1186870)Termination reason: Instruction limit
% 1.03/0.39 % (1186870)Termination phase: Saturation
% 1.03/0.39 % (1186870)Time elapsed: 0.097 s
% 1.03/0.39 % (1186870)Peak memory usage: 13 MB
% 1.03/0.39 % (1186870)Instructions burned: 160 (million)
% 1.03/0.39 % TRYING [4]
% 1.03/0.39 % (1186884)ott-21_1_sil=16000:fs=off:random_seed=2064133788:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.03/0.39 % Finite Model Found!
% 1.03/0.39 % SZS status Satisfiable for theBenchmark
% 1.03/0.39 % (1186864) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1186859-1186864"...
% 1.03/0.40 % (1186864)...printing done.
% 1.03/0.40 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.03/0.40 % (1186864)------------------------------
% 1.03/0.40 % (1186864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.40 % (1186864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.40 % (1186864)CaDiCaL version: 2.1.3
% 1.03/0.40 % (1186864)Termination reason: Satisfiable
% 1.03/0.40 % (1186864)Time elapsed: 0.137 s
% 1.03/0.40 % (1186864)Peak memory usage: 23 MB
% 1.03/0.40 % (1186864)Instructions burned: 328 (million)
% 1.03/0.40 % (1186859)Success in time 0.175 s
% 1.03/0.40 % Vampire exiting
%------------------------------------------------------------------------------