%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL168-1 : 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 : n020.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 11:57:49 AM UTC 2026
% Result : Satisfiable 1.37s 0.79s
% Output : FiniteModel 1.37s
% 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_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_1' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_2' ).
tff(declare_c,type,
c: $i ).
tff(c_definition,axiom,
c = 'fmb_$i_3' ).
tff(declare_equivalent,type,
equivalent: ( $i * $i ) > $i ).
tff(function_equivalent,axiom,
( ( equivalent('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( equivalent('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( equivalent('fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( equivalent('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( equivalent('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( equivalent('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( equivalent('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( equivalent('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( equivalent('fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
& ( equivalent('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( equivalent('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( equivalent('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( equivalent('fmb_$i_4','fmb_$i_1') = 'fmb_$i_3' )
& ( equivalent('fmb_$i_4','fmb_$i_2') = 'fmb_$i_3' )
& ( equivalent('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( equivalent('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_is_a_theorem,type,
is_a_theorem: $i > $o ).
tff(predicate_is_a_theorem,axiom,
( ~ is_a_theorem('fmb_$i_1')
& ~ is_a_theorem('fmb_$i_2')
& ~ is_a_theorem('fmb_$i_3')
& is_a_theorem('fmb_$i_4') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL168-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.44 % Computer : n020.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sun Sep 27 15:25:04 UTC 2026
% 0.20/0.44 % CPUTime :
% 0.20/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.50 Running first-order model finding
% 0.27/0.50 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
% 1.37/0.79 % (3530638)Will run a generic schedule for satisfiability detection.
% 1.37/0.79 % (3530643)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2186756316_2999 on theBenchmark for (2999ds/0Mi)
% 1.37/0.79 % TRYING [1]
% 1.37/0.79 % TRYING [2]
% 1.37/0.79 % TRYING [3]
% 1.37/0.79 % (3530644)% WARNING: option uhcvi not known.
% 1.37/0.79 % TRYING [4]
% 1.37/0.79 % (3530648)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=697387755:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.37/0.79 % (3530645)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3223179981:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.37/0.79 % (3530644)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2552482305:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.37/0.79 % (3530647)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1488157402:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.37/0.79 % (3530646)dis+10_1_sil=32000:sp=arity:random_seed=3989788811:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.37/0.79 % (3530649)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4021625174:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.37/0.79 % (3530646)Instruction limit reached!
% 1.37/0.79 % (3530646)------------------------------
% 1.37/0.79 % (3530646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.79 % (3530646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.79 % (3530646)CaDiCaL version: 2.1.3
% 1.37/0.79 % (3530646)Termination reason: Instruction limit
% 1.37/0.79 % (3530646)Termination phase: Saturation
% 1.37/0.79 % (3530646)Time elapsed: 0.098 s
% 1.37/0.79 % (3530646)Peak memory usage: 11 MB
% 1.37/0.79 % (3530646)Instructions burned: 103 (million)
% 1.37/0.79 % (3530647)Instruction limit reached!
% 1.37/0.79 % (3530647)------------------------------
% 1.37/0.79 % (3530647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.79 % (3530647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.79 % (3530647)CaDiCaL version: 2.1.3
% 1.37/0.79 % (3530647)Termination reason: Instruction limit
% 1.37/0.79 % (3530647)Termination phase: Saturation
% 1.37/0.79 % (3530647)Time elapsed: 0.103 s
% 1.37/0.79 % (3530647)Peak memory usage: 11 MB
% 1.37/0.79 % (3530647)Instructions burned: 117 (million)
% 1.37/0.79 % (3530648)Instruction limit reached!
% 1.37/0.79 % (3530648)------------------------------
% 1.37/0.79 % (3530648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.79 % (3530648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.79 % (3530648)CaDiCaL version: 2.1.3
% 1.37/0.79 % (3530648)Termination reason: Instruction limit
% 1.37/0.79 % (3530648)Termination phase: Saturation
% 1.37/0.79 % (3530648)Time elapsed: 0.122 s
% 1.37/0.79 % (3530648)Peak memory usage: 12 MB
% 1.37/0.79 % (3530648)Instructions burned: 132 (million)
% 1.37/0.79 % (3530657)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1266141961:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.37/0.79 % TRYING [1]
% 1.37/0.79 % TRYING [2]
% 1.37/0.79 % (3530658)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2699917432:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.37/0.79 % TRYING [3]
% 1.37/0.79 % (3530649)Instruction limit reached!
% 1.37/0.79 % (3530649)------------------------------
% 1.37/0.79 % (3530649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.79 % (3530649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.79 % (3530649)CaDiCaL version: 2.1.3
% 1.37/0.79 % (3530649)Termination reason: Instruction limit
% 1.37/0.79 % (3530649)Termination phase: Saturation
% 1.37/0.79 % (3530649)Time elapsed: 0.155 s
% 1.37/0.79 % (3530649)Peak memory usage: 12 MB
% 1.37/0.79 % (3530649)Instructions burned: 159 (million)
% 1.37/0.79 % TRYING [4]
% 1.37/0.79 % (3530659)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=4195221703:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.37/0.79 % (3530662)ott-21_1_sil=16000:fs=off:random_seed=2891470193:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.37/0.79 % Finite Model Found!
% 1.37/0.79 % SZS status Satisfiable for theBenchmark
% 1.37/0.79 % (3530643) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3530638-3530643"...
% 1.37/0.79 % (3530643)...printing done.
% 1.37/0.79 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.37/0.79 % (3530643)------------------------------
% 1.37/0.79 % (3530643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.79 % (3530643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.79 % (3530643)CaDiCaL version: 2.1.3
% 1.37/0.79 % (3530643)Termination reason: Satisfiable
% 1.37/0.79 % (3530643)Time elapsed: 0.246 s
% 1.37/0.79 % (3530643)Peak memory usage: 12 MB
% 1.37/0.79 % (3530643)Instructions burned: 571 (million)
% 1.37/0.79 % (3530638)Success in time 0.283 s
% 1.37/0.79 % Vampire exiting
%------------------------------------------------------------------------------