%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP008+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 11:34:02 AM UTC 2026
% Result : CounterSatisfiable 0.19s 0.48s
% Output : FiniteModel 0.19s
% 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_bool,type,
bool: $i ).
tff(bool_definition,axiom,
bool = 'fmb_$i_1' ).
tff(declare_ind,type,
ind: $i ).
tff(ind_definition,axiom,
ind = 'fmb_$i_2' ).
tff(declare_arr,type,
arr: ( $i * $i ) > $i ).
tff(function_arr,axiom,
( ( arr('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( arr('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( arr('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( arr('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ap,type,
ap: ( $i * $i ) > $i ).
tff(function_ap,axiom,
( ( ap('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ap('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ap('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ap('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_1' )
& ( k('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( k('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( k('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_i,type,
i: $i > $i ).
tff(function_i,axiom,
( ( i('fmb_$i_1') = 'fmb_$i_1' )
& ( i('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_ty_2Epair_2Eprod,type,
ty_2Epair_2Eprod: ( $i * $i ) > $i ).
tff(function_ty_2Epair_2Eprod,axiom,
( ( ty_2Epair_2Eprod('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ty_2Epair_2Eprod('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ty_2Epair_2Eprod('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ty_2Epair_2Eprod('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_2Epair_2E_2C,type,
c_2Epair_2E_2C: ( $i * $i ) > $i ).
tff(function_c_2Epair_2E_2C,axiom,
( ( c_2Epair_2E_2C('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Epair_2E_2C('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( c_2Epair_2E_2C('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Epair_2E_2C('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_2Epair_2ECURRY,type,
c_2Epair_2ECURRY: ( $i * $i * $i ) > $i ).
tff(function_c_2Epair_2ECURRY,axiom,
( ( c_2Epair_2ECURRY('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Epair_2ECURRY('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( c_2Epair_2ECURRY('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Epair_2ECURRY('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( c_2Epair_2ECURRY('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Epair_2ECURRY('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( c_2Epair_2ECURRY('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Epair_2ECURRY('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_2Erelation_2EWF,type,
c_2Erelation_2EWF: $i > $i ).
tff(function_c_2Erelation_2EWF,axiom,
( ( c_2Erelation_2EWF('fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Erelation_2EWF('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_2Emin_2E_3D,type,
c_2Emin_2E_3D: $i > $i ).
tff(function_c_2Emin_2E_3D,axiom,
( ( c_2Emin_2E_3D('fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Emin_2E_3D('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_ty_2Ewellorder_2Ewellorder,type,
ty_2Ewellorder_2Ewellorder: $i > $i ).
tff(function_ty_2Ewellorder_2Ewellorder,axiom,
( ( ty_2Ewellorder_2Ewellorder('fmb_$i_1') = 'fmb_$i_2' )
& ( ty_2Ewellorder_2Ewellorder('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_2Ewellorder_2Ewellorder__REP,type,
c_2Ewellorder_2Ewellorder__REP: $i > $i ).
tff(function_c_2Ewellorder_2Ewellorder__REP,axiom,
( ( c_2Ewellorder_2Ewellorder__REP('fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Ewellorder_2Ewellorder__REP('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_2Eset__relation_2Estrict,type,
c_2Eset__relation_2Estrict: $i > $i ).
tff(function_c_2Eset__relation_2Estrict,axiom,
( ( c_2Eset__relation_2Estrict('fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Eset__relation_2Estrict('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_2Ebool_2EIN,type,
c_2Ebool_2EIN: $i > $i ).
tff(function_c_2Ebool_2EIN,axiom,
( ( c_2Ebool_2EIN('fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Ebool_2EIN('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_2Ewellorder_2Ewellfounded,type,
c_2Ewellorder_2Ewellfounded: $i > $i ).
tff(function_c_2Ewellorder_2Ewellfounded,axiom,
( ( c_2Ewellorder_2Ewellfounded('fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Ewellorder_2Ewellfounded('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_2Ebool_2E_21,type,
c_2Ebool_2E_21: $i > $i ).
tff(function_c_2Ebool_2E_21,axiom,
( ( c_2Ebool_2E_21('fmb_$i_1') = 'fmb_$i_1' )
& ( c_2Ebool_2E_21('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_f31,type,
f31: ( $i * $i * $i ) > $i ).
tff(function_f31,axiom,
( ( f31('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( f31('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( f31('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( f31('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( f31('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( f31('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( f31('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( f31('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_f1018,type,
f1018: ( $i * $i ) > $i ).
tff(function_f1018,axiom,
( ( f1018('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( f1018('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( f1018('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( f1018('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_f1020,type,
f1020: ( $i * $i ) > $i ).
tff(function_f1020,axiom,
( ( f1020('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( f1020('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( f1020('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( f1020('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ne,type,
ne: $i > $o ).
tff(predicate_ne,axiom,
( ne('fmb_$i_1')
& ne('fmb_$i_2') ) ).
tff(declare_mem,type,
mem: ( $i * $i ) > $o ).
tff(predicate_mem,axiom,
( mem('fmb_$i_1','fmb_$i_1')
& mem('fmb_$i_1','fmb_$i_2')
& ~ mem('fmb_$i_2','fmb_$i_1')
& ~ mem('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_p,type,
p: $i > $o ).
tff(predicate_p,axiom,
( p('fmb_$i_1')
& ~ p('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP008+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n013.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 11:53:37 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.19/0.48 % (94617)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (94625)dis+10_1_sil=32000:sp=arity:random_seed=3758977471:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.48 % (94623)% WARNING: option uhcvi not known.
% 0.19/0.48 % (94622)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=55500413_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.48 % (94626)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3702703463:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.48 % (94623)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1551131952:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.48 % (94624)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2856693715:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.48 % (94627)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=560845070:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.48 % (94628)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1601371413:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.48 % TRYING [1]
% 0.19/0.48 % TRYING [2]
% 0.19/0.48 % Finite Model Found!
% 0.19/0.48 % SZS status CounterSatisfiable for theBenchmark
% 0.19/0.48 % (94622) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-94617-94622"...
% 0.19/0.48 % (94622)...printing done.
% 0.19/0.48 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.19/0.48 % (94622)------------------------------
% 0.19/0.48 % (94622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (94622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (94622)CaDiCaL version: 2.1.3
% 0.19/0.48 % (94622)Termination reason: Satisfiable
% 0.19/0.48 % (94622)Time elapsed: 0.011 s
% 0.19/0.48 % (94622)Peak memory usage: 12 MB
% 0.19/0.48 % (94622)Instructions burned: 19 (million)
% 0.19/0.48 % (94617)Success in time 0.042 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------