%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL647+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 11:59:12 AM UTC 2026
% Result : CounterSatisfiable 1.78s 0.78s
% Output : FiniteModel 1.78s
% 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': $i ).
tff('declare_$i6',type,
'fmb_$i_6': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' )
| ( X = 'fmb_$i_6' ) ) ).
tff('distinct_domain_$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_$i_1' != 'fmb_$i_6' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_6' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_6' )
& ( 'fmb_$i_4' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_6' )
& ( 'fmb_$i_5' != 'fmb_$i_6' ) ) ).
tff(declare_r1,type,
r1: ( $i * $i ) > $o ).
tff(predicate_r1,axiom,
( ~ r1('fmb_$i_1','fmb_$i_1')
& r1('fmb_$i_1','fmb_$i_2')
& ~ r1('fmb_$i_1','fmb_$i_3')
& ~ r1('fmb_$i_1','fmb_$i_4')
& ~ r1('fmb_$i_1','fmb_$i_5')
& ~ r1('fmb_$i_1','fmb_$i_6')
& ~ r1('fmb_$i_2','fmb_$i_1')
& ~ r1('fmb_$i_2','fmb_$i_2')
& r1('fmb_$i_2','fmb_$i_3')
& ~ r1('fmb_$i_2','fmb_$i_4')
& ~ r1('fmb_$i_2','fmb_$i_5')
& ~ r1('fmb_$i_2','fmb_$i_6')
& ~ r1('fmb_$i_3','fmb_$i_1')
& ~ r1('fmb_$i_3','fmb_$i_2')
& ~ r1('fmb_$i_3','fmb_$i_3')
& ~ r1('fmb_$i_3','fmb_$i_4')
& ~ r1('fmb_$i_3','fmb_$i_5')
& r1('fmb_$i_3','fmb_$i_6')
& ~ r1('fmb_$i_4','fmb_$i_1')
& ~ r1('fmb_$i_4','fmb_$i_2')
& ~ r1('fmb_$i_4','fmb_$i_3')
& ~ r1('fmb_$i_4','fmb_$i_4')
& r1('fmb_$i_4','fmb_$i_5')
& ~ r1('fmb_$i_4','fmb_$i_6')
& ~ r1('fmb_$i_5','fmb_$i_1')
& ~ r1('fmb_$i_5','fmb_$i_2')
& ~ r1('fmb_$i_5','fmb_$i_3')
& r1('fmb_$i_5','fmb_$i_4')
& ~ r1('fmb_$i_5','fmb_$i_5')
& ~ r1('fmb_$i_5','fmb_$i_6')
& ~ r1('fmb_$i_6','fmb_$i_1')
& ~ r1('fmb_$i_6','fmb_$i_2')
& ~ r1('fmb_$i_6','fmb_$i_3')
& ~ r1('fmb_$i_6','fmb_$i_4')
& r1('fmb_$i_6','fmb_$i_5')
& ~ r1('fmb_$i_6','fmb_$i_6') ) ).
tff(declare_p6,type,
p6: $i > $o ).
tff(predicate_p6,axiom,
( p6('fmb_$i_1')
& p6('fmb_$i_2')
& p6('fmb_$i_3')
& p6('fmb_$i_4')
& p6('fmb_$i_5')
& ~ p6('fmb_$i_6') ) ).
tff(declare_p3,type,
p3: $i > $o ).
tff(predicate_p3,axiom,
( ~ p3('fmb_$i_1')
& ~ p3('fmb_$i_2')
& ~ p3('fmb_$i_3')
& ~ p3('fmb_$i_4')
& p3('fmb_$i_5')
& ~ p3('fmb_$i_6') ) ).
tff(declare_p4,type,
p4: $i > $o ).
tff(predicate_p4,axiom,
( p4('fmb_$i_1')
& p4('fmb_$i_2')
& p4('fmb_$i_3')
& p4('fmb_$i_4')
& p4('fmb_$i_5')
& p4('fmb_$i_6') ) ).
tff(declare_p2,type,
p2: $i > $o ).
tff(predicate_p2,axiom,
( p2('fmb_$i_1')
& ~ p2('fmb_$i_2')
& p2('fmb_$i_3')
& p2('fmb_$i_4')
& p2('fmb_$i_5')
& p2('fmb_$i_6') ) ).
tff(declare_p5,type,
p5: $i > $o ).
tff(predicate_p5,axiom,
( ~ p5('fmb_$i_1')
& ~ p5('fmb_$i_2')
& ~ p5('fmb_$i_3')
& ~ p5('fmb_$i_4')
& ~ p5('fmb_$i_5')
& ~ p5('fmb_$i_6') ) ).
tff(declare_p1,type,
p1: $i > $o ).
tff(predicate_p1,axiom,
( ~ p1('fmb_$i_1')
& ~ p1('fmb_$i_2')
& ~ p1('fmb_$i_3')
& ~ p1('fmb_$i_4')
& ~ p1('fmb_$i_5')
& ~ p1('fmb_$i_6') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL647+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 16:11:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.78/0.78 % (1625754)Will run a generic schedule for satisfiability detection.
% 1.78/0.78 % (1625764)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=454134429:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.78/0.78 % (1625759)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1168356452_2999 on theBenchmark for (2999ds/0Mi)
% 1.78/0.78 % (1625761)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3266065385:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.78/0.78 % (1625762)dis+10_1_sil=32000:sp=arity:random_seed=924371512:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.78/0.78 % (1625763)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3705467498:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.78/0.78 % (1625765)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3262307624:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.78/0.78 % (1625760)% WARNING: option uhcvi not known.
% 1.78/0.78 % (1625760)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2031205612:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.78/0.78 % TRYING [1]
% 1.78/0.78 % TRYING [2]
% 1.78/0.78 % TRYING [3]
% 1.78/0.78 % (1625764)Instruction limit reached!
% 1.78/0.78 % (1625764)------------------------------
% 1.78/0.78 % (1625764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.78 % (1625764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.78 % (1625764)CaDiCaL version: 2.1.3
% 1.78/0.78 % (1625764)Termination reason: Instruction limit
% 1.78/0.78 % (1625764)Termination phase: Saturation
% 1.78/0.78 % (1625764)Time elapsed: 0.040 s
% 1.78/0.78 % (1625764)Peak memory usage: 14 MB
% 1.78/0.78 % (1625764)Instructions burned: 135 (million)
% 1.78/0.78 % TRYING [4]
% 1.78/0.78 % (1625773)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1543512392:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.78/0.78 % (1625762)Instruction limit reached!
% 1.78/0.78 % (1625762)------------------------------
% 1.78/0.78 % (1625762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.78 % (1625762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.78 % (1625762)CaDiCaL version: 2.1.3
% 1.78/0.78 % (1625762)Termination reason: Instruction limit
% 1.78/0.78 % (1625762)Termination phase: Saturation
% 1.78/0.78 % (1625762)Time elapsed: 0.049 s
% 1.78/0.78 % (1625762)Peak memory usage: 12 MB
% 1.78/0.78 % (1625762)Instructions burned: 103 (million)
% 1.78/0.78 % TRYING [1]
% 1.78/0.78 % TRYING [2]
% 1.78/0.78 % TRYING [3]
% 1.78/0.78 % (1625763)Instruction limit reached!
% 1.78/0.78 % (1625763)------------------------------
% 1.78/0.78 % (1625763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.78 % (1625763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.78 % (1625763)CaDiCaL version: 2.1.3
% 1.78/0.78 % (1625763)Termination reason: Instruction limit
% 1.78/0.78 % (1625763)Termination phase: Saturation
% 1.78/0.78 % (1625763)Time elapsed: 0.059 s
% 1.78/0.78 % (1625763)Peak memory usage: 13 MB
% 1.78/0.78 % (1625763)Instructions burned: 117 (million)
% 1.78/0.78 % TRYING [4]
% 1.78/0.78 % TRYING [5]
% 1.78/0.78 % (1625775)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1193624691:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.78/0.78 % (1625776)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=1127321984:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.78/0.78 % (1625765)Instruction limit reached!
% 1.78/0.78 % (1625765)------------------------------
% 1.78/0.78 % (1625765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.78 % (1625765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.78 % (1625765)CaDiCaL version: 2.1.3
% 1.78/0.78 % (1625765)Termination reason: Instruction limit
% 1.78/0.78 % (1625765)Termination phase: Saturation
% 1.78/0.78 % (1625765)Time elapsed: 0.080 s
% 1.78/0.78 % (1625765)Peak memory usage: 16 MB
% 1.78/0.78 % (1625765)Instructions burned: 162 (million)
% 1.78/0.78 % TRYING [5]
% 1.78/0.78 % (1625779)ott-21_1_sil=16000:fs=off:random_seed=2251534823:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.78/0.78 % (1625775)Instruction limit reached!
% 1.78/0.78 % (1625775)------------------------------
% 1.78/0.78 % (1625775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.78 % (1625775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.78 % (1625775)CaDiCaL version: 2.1.3
% 1.78/0.78 % (1625775)Termination reason: Instruction limit
% 1.78/0.78 % (1625775)Termination phase: Saturation
% 1.78/0.78 % (1625775)Time elapsed: 0.064 s
% 1.78/0.78 % (1625775)Peak memory usage: 14 MB
% 1.78/0.78 % (1625775)Instructions burned: 134 (million)
% 1.78/0.78 % (1625781)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1568520513:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.78/0.78 % TRYING [6]
% 1.78/0.78 % (1625779)Instruction limit reached!
% 1.78/0.78 % (1625779)------------------------------
% 1.78/0.78 % (1625779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.78 % (1625779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.78 % (1625779)CaDiCaL version: 2.1.3
% 1.78/0.78 % (1625779)Termination reason: Instruction limit
% 1.78/0.78 % (1625779)Termination phase: Saturation
% 1.78/0.78 % (1625779)Time elapsed: 0.087 s
% 1.78/0.78 % (1625779)Peak memory usage: 13 MB
% 1.78/0.78 % (1625779)Instructions burned: 182 (million)
% 1.78/0.78 % TRYING [6]
% 1.78/0.78 % (1625783)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2968152168:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.78/0.78 % TRYING [1]
% 1.78/0.78 % TRYING [2]
% 1.78/0.78 % (1625773)Instruction limit reached!
% 1.78/0.78 % (1625773)------------------------------
% 1.78/0.78 % (1625773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.78 % (1625773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.78 % (1625773)CaDiCaL version: 2.1.3
% 1.78/0.78 % (1625773)Termination reason: Instruction limit
% 1.78/0.78 % (1625773)Termination phase: Finite model building SAT solving
% 1.78/0.78 % (1625773)Time elapsed: 0.193 s
% 1.78/0.78 % (1625773)Peak memory usage: 19 MB
% 1.78/0.78 % (1625773)Instructions burned: 715 (million)
% 1.78/0.78 % TRYING [3]
% 1.78/0.78 % (1625785)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3155541422:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.78/0.78 % TRYING [4]
% 1.78/0.78 % TRYING [5]
% 1.78/0.78 % Finite Model Found!
% 1.78/0.78 % SZS status CounterSatisfiable for theBenchmark
% 1.78/0.78 % (1625759) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1625754-1625759"...
% 1.78/0.78 % (1625759)...printing done.
% 1.78/0.78 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.78/0.78 % (1625759)------------------------------
% 1.78/0.78 % (1625759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.78 % (1625759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.78 % (1625759)CaDiCaL version: 2.1.3
% 1.78/0.78 % (1625759)Termination reason: Satisfiable
% 1.78/0.78 % (1625759)Time elapsed: 0.317 s
% 1.78/0.78 % (1625759)Peak memory usage: 20 MB
% 1.78/0.78 % (1625759)Instructions burned: 640 (million)
% 1.78/0.78 % (1625754)Success in time 0.36 s
% 1.78/0.78 % Vampire exiting
%------------------------------------------------------------------------------