%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL180-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 11:57:52 AM UTC 2026
% Result : Satisfiable 1.49s 0.75s
% Output : FiniteModel 1.49s
% 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_p,type,
p: $i ).
tff(p_definition,axiom,
p = 'fmb_$i_1' ).
tff(declare_or,type,
or: ( $i * $i ) > $i ).
tff(function_or,axiom,
( ( or('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_1','fmb_$i_2') = 'fmb_$i_5' )
& ( or('fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( or('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( or('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_5') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_1') = 'fmb_$i_3' )
& ( or('fmb_$i_4','fmb_$i_2') = 'fmb_$i_3' )
& ( or('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_5') = 'fmb_$i_3' )
& ( or('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( or('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_5','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_2' )
& ( not('fmb_$i_2') = 'fmb_$i_3' )
& ( not('fmb_$i_3') = 'fmb_$i_1' )
& ( not('fmb_$i_4') = 'fmb_$i_1' )
& ( not('fmb_$i_5') = 'fmb_$i_3' ) ) ).
tff(declare_axiom,type,
axiom: $i > $o ).
tff(predicate_axiom,axiom,
( ~ axiom('fmb_$i_1')
& axiom('fmb_$i_2')
& ~ axiom('fmb_$i_3')
& axiom('fmb_$i_4')
& ~ axiom('fmb_$i_5') ) ).
tff(declare_theorem,type,
theorem: $i > $o ).
tff(predicate_theorem,axiom,
( ~ theorem('fmb_$i_1')
& theorem('fmb_$i_2')
& theorem('fmb_$i_3')
& theorem('fmb_$i_4')
& theorem('fmb_$i_5') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL180-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:24:52 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 1.49/0.75 % (3664155)Will run a generic schedule for satisfiability detection.
% 1.49/0.75 % (3664161)% WARNING: option uhcvi not known.
% 1.49/0.75 % (3664161)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3177262780:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.49/0.75 % (3664162)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=983499512:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.49/0.75 % (3664163)dis+10_1_sil=32000:sp=arity:random_seed=3270487450:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.49/0.75 % (3664160)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2321493179_2999 on theBenchmark for (2999ds/0Mi)
% 1.49/0.75 % (3664164)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3942358532:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.49/0.75 % TRYING [1]
% 1.49/0.75 % TRYING [2]
% 1.49/0.75 % TRYING [3]
% 1.49/0.75 % (3664165)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1942966218:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.49/0.75 % TRYING [4]
% 1.49/0.75 % (3664166)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2050073589:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.49/0.75 % (3664164)Instruction limit reached!
% 1.49/0.75 % (3664164)------------------------------
% 1.49/0.75 % (3664164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.75 % (3664164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.75 % (3664164)CaDiCaL version: 2.1.3
% 1.49/0.75 % (3664164)Termination reason: Instruction limit
% 1.49/0.75 % (3664164)Termination phase: Saturation
% 1.49/0.75 % (3664164)Time elapsed: 0.085 s
% 1.49/0.75 % (3664164)Peak memory usage: 11 MB
% 1.49/0.75 % (3664164)Instructions burned: 117 (million)
% 1.49/0.75 % TRYING [5]
% 1.49/0.75 % (3664163)Instruction limit reached!
% 1.49/0.75 % (3664163)------------------------------
% 1.49/0.75 % (3664163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.75 % (3664163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.75 % (3664163)CaDiCaL version: 2.1.3
% 1.49/0.75 % (3664163)Termination reason: Instruction limit
% 1.49/0.75 % (3664163)Termination phase: Saturation
% 1.49/0.75 % (3664163)Time elapsed: 0.095 s
% 1.49/0.75 % (3664163)Peak memory usage: 11 MB
% 1.49/0.75 % (3664163)Instructions burned: 103 (million)
% 1.49/0.75 % (3664182)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1546812579:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.49/0.75 % TRYING [1]
% 1.49/0.75 % TRYING [2]
% 1.49/0.75 % TRYING [3]
% 1.49/0.75 % (3664183)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1684377991:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.49/0.75 % TRYING [4]
% 1.49/0.75 % (3664165)Instruction limit reached!
% 1.49/0.75 % (3664165)------------------------------
% 1.49/0.75 % (3664165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.75 % (3664165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.75 % (3664165)CaDiCaL version: 2.1.3
% 1.49/0.75 % (3664165)Termination reason: Instruction limit
% 1.49/0.75 % (3664165)Termination phase: Saturation
% 1.49/0.75 % (3664165)Time elapsed: 0.131 s
% 1.49/0.75 % (3664165)Peak memory usage: 13 MB
% 1.49/0.75 % (3664165)Instructions burned: 131 (million)
% 1.49/0.75 % (3664166)Instruction limit reached!
% 1.49/0.75 % (3664166)------------------------------
% 1.49/0.75 % (3664166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.75 % (3664166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.75 % (3664166)CaDiCaL version: 2.1.3
% 1.49/0.75 % (3664166)Termination reason: Instruction limit
% 1.49/0.75 % (3664166)Termination phase: Saturation
% 1.49/0.75 % (3664166)Time elapsed: 0.140 s
% 1.49/0.75 % (3664166)Peak memory usage: 13 MB
% 1.49/0.75 % (3664166)Instructions burned: 159 (million)
% 1.49/0.75 % (3664186)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=1795944882:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.49/0.75 % (3664187)ott-21_1_sil=16000:fs=off:random_seed=1087399615:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.49/0.75 % TRYING [5]
% 1.49/0.75 % (3664183)Instruction limit reached!
% 1.49/0.75 % (3664183)------------------------------
% 1.49/0.75 % (3664183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.75 % (3664183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.75 % (3664183)CaDiCaL version: 2.1.3
% 1.49/0.75 % (3664183)Termination reason: Instruction limit
% 1.49/0.75 % (3664183)Termination phase: Saturation
% 1.49/0.75 % (3664183)Time elapsed: 0.126 s
% 1.49/0.75 % (3664183)Peak memory usage: 12 MB
% 1.49/0.75 % (3664183)Instructions burned: 131 (million)
% 1.49/0.75 % Finite Model Found!
% 1.49/0.75 % SZS status Satisfiable for theBenchmark
% 1.49/0.75 % (3664160) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3664155-3664160"...
% 1.49/0.75 % (3664160)...printing done.
% 1.49/0.75 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.49/0.75 % (3664160)------------------------------
% 1.49/0.75 % (3664160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.75 % (3664160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.75 % (3664160)CaDiCaL version: 2.1.3
% 1.49/0.75 % (3664160)Termination reason: Satisfiable
% 1.49/0.75 % (3664160)Time elapsed: 0.280 s
% 1.49/0.75 % (3664160)Peak memory usage: 16 MB
% 1.49/0.75 % (3664160)Instructions burned: 402 (million)
% 1.49/0.75 % (3664155)Success in time 0.317 s
% 1.49/0.75 % Vampire exiting
%------------------------------------------------------------------------------