%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL219-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 11:58:03 AM UTC 2026
% Result : Satisfiable 0.31s 1.40s
% Output : FiniteModel 0.31s
% 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_q,type,
q: $i ).
tff(q_definition,axiom,
q = 'fmb_$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_$i_4' )
& ( or('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_4') = 'fmb_$i_3' )
& ( or('fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( or('fmb_$i_5','fmb_$i_1') = 'fmb_$i_2' )
& ( 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
% 0.00/0.05 % Problem : LCL219-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.47 % Computer : n002.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 15:30:06 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.52 Running first-order model finding
% 0.27/0.52 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
% 0.31/1.40 % (3678127)Will run a generic schedule for satisfiability detection.
% 0.31/1.40 % (3678134)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2382794377:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/1.40 % (3678138)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=311021493:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/1.40 % (3678136)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2013704697:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/1.40 % (3678137)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2949708396:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/1.40 % (3678135)dis+10_1_sil=32000:sp=arity:random_seed=3755462234:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/1.40 % (3678132)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=393321623_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/1.40 % TRYING [1]
% 0.31/1.40 % TRYING [2]
% 0.31/1.40 % TRYING [3]
% 0.31/1.40 % (3678133)% WARNING: option uhcvi not known.
% 0.31/1.40 % (3678133)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2423874809:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/1.40 % TRYING [4]
% 0.31/1.40 % (3678136)Instruction limit reached!
% 0.31/1.40 % (3678136)------------------------------
% 0.31/1.40 % (3678136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678136)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678136)Termination reason: Instruction limit
% 0.31/1.40 % (3678136)Termination phase: Saturation
% 0.31/1.40 % (3678136)Time elapsed: 0.086 s
% 0.31/1.40 % (3678136)Peak memory usage: 11 MB
% 0.31/1.40 % (3678136)Instructions burned: 117 (million)
% 0.31/1.40 % (3678135)Instruction limit reached!
% 0.31/1.40 % (3678135)------------------------------
% 0.31/1.40 % (3678135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678135)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678135)Termination reason: Instruction limit
% 0.31/1.40 % (3678135)Termination phase: Saturation
% 0.31/1.40 % (3678135)Time elapsed: 0.096 s
% 0.31/1.40 % (3678135)Peak memory usage: 11 MB
% 0.31/1.40 % (3678135)Instructions burned: 103 (million)
% 0.31/1.40 % (3678146)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=470078094:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.31/1.40 % TRYING [1]
% 0.31/1.40 % TRYING [2]
% 0.31/1.40 % (3678147)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2367530925:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.31/1.40 % (3678137)Instruction limit reached!
% 0.31/1.40 % (3678137)------------------------------
% 0.31/1.40 % (3678137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678137)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678137)Termination reason: Instruction limit
% 0.31/1.40 % (3678137)Termination phase: Saturation
% 0.31/1.40 % (3678137)Time elapsed: 0.138 s
% 0.31/1.40 % (3678137)Peak memory usage: 12 MB
% 0.31/1.40 % (3678137)Instructions burned: 131 (million)
% 0.31/1.40 % TRYING [3]
% 0.31/1.40 % (3678138)Instruction limit reached!
% 0.31/1.40 % (3678138)------------------------------
% 0.31/1.40 % (3678138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678138)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678138)Termination reason: Instruction limit
% 0.31/1.40 % (3678138)Termination phase: Saturation
% 0.31/1.40 % (3678138)Time elapsed: 0.150 s
% 0.31/1.40 % (3678138)Peak memory usage: 12 MB
% 0.31/1.40 % (3678138)Instructions burned: 159 (million)
% 0.31/1.40 % (3678150)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=1038698662:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.31/1.40 % TRYING [4]
% 0.31/1.40 % (3678151)ott-21_1_sil=16000:fs=off:random_seed=3519910213:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.31/1.40 % (3678147)Instruction limit reached!
% 0.31/1.40 % (3678147)------------------------------
% 0.31/1.40 % (3678147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678147)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678147)Termination reason: Instruction limit
% 0.31/1.40 % (3678147)Termination phase: Saturation
% 0.31/1.40 % (3678147)Time elapsed: 0.133 s
% 0.31/1.40 % (3678147)Peak memory usage: 12 MB
% 0.31/1.40 % (3678147)Instructions burned: 131 (million)
% 0.31/1.40 % (3678154)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2920729627:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 0.31/1.40 % (3678151)Instruction limit reached!
% 0.31/1.40 % (3678151)------------------------------
% 0.31/1.40 % (3678151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678151)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678151)Termination reason: Instruction limit
% 0.31/1.40 % (3678151)Termination phase: Saturation
% 0.31/1.40 % (3678151)Time elapsed: 0.147 s
% 0.31/1.40 % (3678151)Peak memory usage: 12 MB
% 0.31/1.40 % (3678151)Instructions burned: 180 (million)
% 0.31/1.40 % (3678156)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1152221945:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 0.31/1.40 % TRYING [1]
% 0.31/1.40 % TRYING [2]
% 0.31/1.40 % TRYING [3]
% 0.31/1.40 % TRYING [4]
% 0.31/1.40 % TRYING [5]
% 0.31/1.40 % TRYING [5]
% 0.31/1.40 % TRYING [5]
% 0.31/1.40 % (3678146)Instruction limit reached!
% 0.31/1.40 % (3678146)------------------------------
% 0.31/1.40 % (3678146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678146)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678146)Termination reason: Instruction limit
% 0.31/1.40 % (3678146)Termination phase: Finite model building SAT solving
% 0.31/1.40 % (3678146)Time elapsed: 0.609 s
% 0.31/1.40 % (3678146)Peak memory usage: 14 MB
% 0.31/1.40 % (3678146)Instructions burned: 715 (million)
% 0.31/1.40 % (3678154)Instruction limit reached!
% 0.31/1.40 % (3678154)------------------------------
% 0.31/1.40 % (3678154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678154)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678154)Termination reason: Instruction limit
% 0.31/1.40 % (3678154)Termination phase: Saturation
% 0.31/1.40 % (3678154)Time elapsed: 0.449 s
% 0.31/1.40 % (3678154)Peak memory usage: 15 MB
% 0.31/1.40 % (3678154)Instructions burned: 477 (million)
% 0.31/1.40 % (3678175)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4052556232:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 0.31/1.40 % Finite Model Found!
% 0.31/1.40 % SZS status Satisfiable for theBenchmark
% 0.31/1.40 % (3678156) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3678127-3678156"...
% 0.31/1.40 % (3678156)...printing done.
% 0.31/1.40 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.31/1.40 % (3678156)------------------------------
% 0.31/1.40 % (3678156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/1.40 % (3678156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/1.40 % (3678156)CaDiCaL version: 2.1.3
% 0.31/1.40 % (3678156)Termination reason: Satisfiable
% 0.31/1.40 % (3678156)Time elapsed: 0.414 s
% 0.31/1.40 % (3678156)Peak memory usage: 13 MB
% 0.31/1.40 % (3678156)Instructions burned: 480 (million)
% 0.31/1.40 % (3678127)Success in time 0.863 s
% 0.31/1.40 % Vampire exiting
%------------------------------------------------------------------------------