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Vampire-SAT---5.0.1.CSA-FMo.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP796+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 10:18:47 AM UTC 2026

% Result   : CounterSatisfiable 0.87s 0.57s
% Output   : FiniteModel 0.87s
% 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('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = 'fmb_$i_1' )
      | ( X = 'fmb_$i_2' ) ) ).

tff('distinct_domain_$i',axiom,
    'fmb_$i_1' != 'fmb_$i_2' ).

tff(declare_e,type,
    e: $i ).

tff(e_definition,axiom,
    e = 'fmb_$i_1' ).

tff(declare_m,type,
    m: ( $i * $i ) > $i ).

tff(function_m,axiom,
    ( ( m('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( m('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( m('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( m('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_b,type,
    b: ( $i * $i ) > $i ).

tff(function_b,axiom,
    ( ( b('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( b('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( b('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( b('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_s,type,
    s: ( $i * $i ) > $i ).

tff(function_s,axiom,
    ( ( s('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( s('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( s('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( s('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_t,type,
    t: ( $i * $i ) > $i ).

tff(function_t,axiom,
    ( ( t('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( t('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( t('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( t('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_i1,type,
    i1: ( $i * $i ) > $i ).

tff(function_i1,axiom,
    ( ( i1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( i1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( i1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( i1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_j1,type,
    j1: ( $i * $i ) > $i ).

tff(function_j1,axiom,
    ( ( j1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( j1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( j1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( j1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_i2,type,
    i2: ( $i * $i ) > $i ).

tff(function_i2,axiom,
    ( ( i2('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( i2('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( i2('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( i2('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_j2,type,
    j2: ( $i * $i ) > $i ).

tff(function_j2,axiom,
    ( ( j2('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( j2('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( j2('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( j2('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_l,type,
    l: ( $i * $i * $i ) > $i ).

tff(function_l,axiom,
    ( ( l('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( l('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( l('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( l('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( l('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( l('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( l('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( l('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_r,type,
    r: ( $i * $i * $i ) > $i ).

tff(function_r,axiom,
    ( ( r('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( r('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( r('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( r('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( r('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( r('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( r('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( r('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_k,type,
    k: ( $i * $i ) > $i ).

tff(function_k,axiom,
    ( ( k('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( k('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( k('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( k('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP796+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n007.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 10:44:25 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
% 0.87/0.57  % (1226422)Will run a generic schedule for satisfiability detection.
% 0.87/0.57  % (1226429)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1151413308:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.87/0.57  % (1226428)% WARNING: option uhcvi not known.
% 0.87/0.57  % (1226427)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=198719906_2999 on theBenchmark for (2999ds/0Mi)
% 0.87/0.57  % (1226428)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1665141564:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.87/0.57  % (1226430)dis+10_1_sil=32000:sp=arity:random_seed=1157524285:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.87/0.57  % (1226431)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4250384257:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.87/0.57  % (1226432)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2536442216:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.87/0.57  % (1226433)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3211166365:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.87/0.57  % (1226430)Instruction limit reached! 
% 0.87/0.57  % (1226430)------------------------------
% 0.87/0.57  % (1226430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57  % (1226430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57  % (1226430)CaDiCaL version: 2.1.3
% 0.87/0.57  % (1226430)Termination reason: Instruction limit
% 0.87/0.57  % (1226430)Termination phase: Saturation
% 0.87/0.57  % (1226430)Time elapsed: 0.054 s
% 0.87/0.57  % (1226430)Peak memory usage: 13 MB
% 0.87/0.57  % (1226430)Instructions burned: 104 (million)
% 0.87/0.57  % TRYING [1]
% 0.87/0.57  % TRYING [2]
% 0.87/0.57  % (1226431)Instruction limit reached! 
% 0.87/0.57  % (1226431)------------------------------
% 0.87/0.57  % (1226431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57  % (1226431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57  % (1226431)CaDiCaL version: 2.1.3
% 0.87/0.57  % (1226431)Termination reason: Instruction limit
% 0.87/0.57  % (1226431)Termination phase: Saturation
% 0.87/0.57  % (1226431)Time elapsed: 0.067 s
% 0.87/0.57  % (1226431)Peak memory usage: 14 MB
% 0.87/0.57  % (1226431)Instructions burned: 120 (million)
% 0.87/0.57  % (1226432)Instruction limit reached! 
% 0.87/0.57  % (1226432)------------------------------
% 0.87/0.57  % (1226432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57  % (1226432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57  % (1226432)CaDiCaL version: 2.1.3
% 0.87/0.57  % (1226432)Termination reason: Instruction limit
% 0.87/0.57  % (1226432)Termination phase: Saturation
% 0.87/0.57  % (1226432)Time elapsed: 0.075 s
% 0.87/0.57  % (1226432)Peak memory usage: 14 MB
% 0.87/0.57  % (1226432)Instructions burned: 132 (million)
% 0.87/0.57  % (1226441)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3930697123:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.87/0.57  % (1226442)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1717678339:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.87/0.57  % Finite Model Found!
% 0.87/0.57  % SZS status CounterSatisfiable for theBenchmark
% 0.87/0.57  % (1226443)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=681839112:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.87/0.57  % (1226433)Instruction limit reached! 
% 0.87/0.57  % (1226433)------------------------------
% 0.87/0.57  % (1226433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57  % (1226433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57  % (1226433)CaDiCaL version: 2.1.3
% 0.87/0.57  % (1226433)Termination reason: Instruction limit
% 0.87/0.57  % (1226433)Termination phase: Saturation
% 0.87/0.57  % (1226433)Time elapsed: 0.097 s
% 0.87/0.57  % (1226433)Peak memory usage: 15 MB
% 0.87/0.57  % (1226433)Instructions burned: 159 (million)
% 0.87/0.57  % (1226427) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1226422-1226427"...
% 0.87/0.57  % (1226427)...printing done.
% 0.87/0.57  % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.87/0.57  % (1226427)------------------------------
% 0.87/0.57  % (1226427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.57  % (1226427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.57  % (1226427)CaDiCaL version: 2.1.3
% 0.87/0.57  % (1226427)Termination reason: Satisfiable
% 0.87/0.57  % (1226427)Time elapsed: 0.099 s
% 0.87/0.57  % (1226427)Peak memory usage: 18 MB
% 0.87/0.57  % (1226427)Instructions burned: 212 (million)
% 0.87/0.57  % (1226422)Success in time 0.14 s
% 0.87/0.57  % Vampire exiting
%------------------------------------------------------------------------------