%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL882+1 : TPTP v9.3.1. Released v5.5.0.
% 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 12:00:55 PM UTC 2026
% Result : CounterSatisfiable 1.25s 0.66s
% Output : FiniteModel 1.25s
% 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_0,type,
'0': $i ).
tff('0_definition',axiom,
'0' = 'fmb_$i_1' ).
tff(declare_1,type,
'1': $i ).
tff('1_definition',axiom,
'1' = 'fmb_$i_2' ).
tff('declare_+',type,
'+': ( $i * $i ) > $i ).
tff('function_+',axiom,
( ( '+'('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( '+'('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( '+'('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( '+'('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( '+'('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( '+'('fmb_$i_1','fmb_$i_6') = 'fmb_$i_6' )
& ( '+'('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( '+'('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( '+'('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( '+'('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( '+'('fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( '+'('fmb_$i_2','fmb_$i_6') = 'fmb_$i_2' )
& ( '+'('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( '+'('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( '+'('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' )
& ( '+'('fmb_$i_3','fmb_$i_4') = 'fmb_$i_6' )
& ( '+'('fmb_$i_3','fmb_$i_5') = 'fmb_$i_6' )
& ( '+'('fmb_$i_3','fmb_$i_6') = 'fmb_$i_2' )
& ( '+'('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( '+'('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( '+'('fmb_$i_4','fmb_$i_3') = 'fmb_$i_6' )
& ( '+'('fmb_$i_4','fmb_$i_4') = 'fmb_$i_2' )
& ( '+'('fmb_$i_4','fmb_$i_5') = 'fmb_$i_6' )
& ( '+'('fmb_$i_4','fmb_$i_6') = 'fmb_$i_2' )
& ( '+'('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( '+'('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( '+'('fmb_$i_5','fmb_$i_3') = 'fmb_$i_6' )
& ( '+'('fmb_$i_5','fmb_$i_4') = 'fmb_$i_6' )
& ( '+'('fmb_$i_5','fmb_$i_5') = 'fmb_$i_6' )
& ( '+'('fmb_$i_5','fmb_$i_6') = 'fmb_$i_2' )
& ( '+'('fmb_$i_6','fmb_$i_1') = 'fmb_$i_6' )
& ( '+'('fmb_$i_6','fmb_$i_2') = 'fmb_$i_2' )
& ( '+'('fmb_$i_6','fmb_$i_3') = 'fmb_$i_2' )
& ( '+'('fmb_$i_6','fmb_$i_4') = 'fmb_$i_2' )
& ( '+'('fmb_$i_6','fmb_$i_5') = 'fmb_$i_2' )
& ( '+'('fmb_$i_6','fmb_$i_6') = 'fmb_$i_2' ) ) ).
tff('declare_==>',type,
'==>': ( $i * $i ) > $i ).
tff('function_==>',axiom,
( ( '==>'('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( '==>'('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( '==>'('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( '==>'('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_1','fmb_$i_6') = 'fmb_$i_6' )
& ( '==>'('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( '==>'('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_3','fmb_$i_4') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_3','fmb_$i_6') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( '==>'('fmb_$i_4','fmb_$i_3') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_4','fmb_$i_6') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_5','fmb_$i_2') = 'fmb_$i_6' )
& ( '==>'('fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_5','fmb_$i_6') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_6','fmb_$i_2') = 'fmb_$i_5' )
& ( '==>'('fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( '==>'('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' ) ) ).
tff('declare_>=',type,
'>=': ( $i * $i ) > $o ).
tff('predicate_>=',axiom,
( '>='('fmb_$i_1','fmb_$i_1')
& ~ '>='('fmb_$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_$i_1')
& '>='('fmb_$i_2','fmb_$i_2')
& '>='('fmb_$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_$i_1')
& ~ '>='('fmb_$i_3','fmb_$i_2')
& '>='('fmb_$i_3','fmb_$i_3')
& ~ '>='('fmb_$i_3','fmb_$i_4')
& '>='('fmb_$i_3','fmb_$i_5')
& ~ '>='('fmb_$i_3','fmb_$i_6')
& '>='('fmb_$i_4','fmb_$i_1')
& ~ '>='('fmb_$i_4','fmb_$i_2')
& ~ '>='('fmb_$i_4','fmb_$i_3')
& '>='('fmb_$i_4','fmb_$i_4')
& '>='('fmb_$i_4','fmb_$i_5')
& ~ '>='('fmb_$i_4','fmb_$i_6')
& '>='('fmb_$i_5','fmb_$i_1')
& ~ '>='('fmb_$i_5','fmb_$i_2')
& ~ '>='('fmb_$i_5','fmb_$i_3')
& ~ '>='('fmb_$i_5','fmb_$i_4')
& '>='('fmb_$i_5','fmb_$i_5')
& ~ '>='('fmb_$i_5','fmb_$i_6')
& '>='('fmb_$i_6','fmb_$i_1')
& ~ '>='('fmb_$i_6','fmb_$i_2')
& '>='('fmb_$i_6','fmb_$i_3')
& '>='('fmb_$i_6','fmb_$i_4')
& '>='('fmb_$i_6','fmb_$i_5')
& '>='('fmb_$i_6','fmb_$i_6') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL882+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n004.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 17:03:51 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.46 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
% 1.25/0.66 % (3747091)Will run a generic schedule for satisfiability detection.
% 1.25/0.66 % (3747097)% WARNING: option uhcvi not known.
% 1.25/0.66 % (3747097)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1044976009:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.25/0.66 % (3747099)dis+10_1_sil=32000:sp=arity:random_seed=1459361452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.25/0.66 % (3747096)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1310196311_2999 on theBenchmark for (2999ds/0Mi)
% 1.25/0.66 % (3747101)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1278146115:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.25/0.66 % (3747098)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=51638413:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.25/0.66 % (3747100)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3356560247:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.25/0.66 % (3747102)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=114423509:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.25/0.66 % TRYING [1]
% 1.25/0.66 % TRYING [2]
% 1.25/0.66 % TRYING [3]
% 1.25/0.66 % TRYING [4]
% 1.25/0.66 % TRYING [5]
% 1.25/0.66 % TRYING [6]
% 1.25/0.66 % (3747099)Instruction limit reached!
% 1.25/0.66 % (3747099)------------------------------
% 1.25/0.66 % (3747099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.66 % (3747099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.66 % (3747099)CaDiCaL version: 2.1.3
% 1.25/0.66 % (3747099)Termination reason: Instruction limit
% 1.25/0.66 % (3747099)Termination phase: Saturation
% 1.25/0.66 % (3747099)Time elapsed: 0.106 s
% 1.25/0.66 % (3747099)Peak memory usage: 12 MB
% 1.25/0.66 % (3747099)Instructions burned: 103 (million)
% 1.25/0.66 % (3747100)Instruction limit reached!
% 1.25/0.66 % (3747100)------------------------------
% 1.25/0.66 % (3747100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.66 % (3747100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.66 % (3747100)CaDiCaL version: 2.1.3
% 1.25/0.66 % (3747100)Termination reason: Instruction limit
% 1.25/0.66 % (3747100)Termination phase: Saturation
% 1.25/0.66 % (3747100)Time elapsed: 0.113 s
% 1.25/0.66 % (3747100)Peak memory usage: 12 MB
% 1.25/0.66 % (3747100)Instructions burned: 117 (million)
% 1.25/0.66 % (3747101)Instruction limit reached!
% 1.25/0.66 % (3747101)------------------------------
% 1.25/0.66 % (3747101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.66 % (3747101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.66 % (3747101)CaDiCaL version: 2.1.3
% 1.25/0.66 % (3747101)Termination reason: Instruction limit
% 1.25/0.66 % (3747101)Termination phase: Saturation
% 1.25/0.66 % (3747101)Time elapsed: 0.132 s
% 1.25/0.66 % (3747101)Peak memory usage: 13 MB
% 1.25/0.66 % (3747101)Instructions burned: 131 (million)
% 1.25/0.66 % (3747111)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=15127479:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.25/0.66 % (3747110)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=76476295:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.25/0.66 % Finite Model Found!
% 1.25/0.66 % SZS status CounterSatisfiable for theBenchmark
% 1.25/0.66 % TRYING [1]
% 1.25/0.66 % TRYING [2]
% 1.25/0.66 % TRYING [3]
% 1.25/0.66 % (3747096) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3747091-3747096"...
% 1.25/0.66 % (3747096)...printing done.
% 1.25/0.66 % TRYING [4]
% 1.25/0.66 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.25/0.66 % (3747096)------------------------------
% 1.25/0.66 % (3747096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.66 % (3747096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.66 % (3747096)CaDiCaL version: 2.1.3
% 1.25/0.66 % (3747096)Termination reason: Satisfiable
% 1.25/0.66 % (3747096)Time elapsed: 0.145 s
% 1.25/0.66 % (3747096)Peak memory usage: 17 MB
% 1.25/0.66 % (3747096)Instructions burned: 181 (million)
% 1.25/0.66 % (3747091)Success in time 0.185 s
% 1.25/0.66 % Vampire exiting
%------------------------------------------------------------------------------