%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT029-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:37:24 PM UTC 2026
% Result : Satisfiable 0.13s 0.45s
% Output : FiniteModel 0.13s
% 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_c_Arrow__Order__Mirabelle_OProf,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
tff(c_Arrow__Order__Mirabelle_OProf_definition,axiom,
c_Arrow__Order__Mirabelle_OProf = 'fmb_$i_1' ).
tff(declare_tc_Arrow__Order__Mirabelle_Oindi,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
tff(tc_Arrow__Order__Mirabelle_Oindi_definition,axiom,
tc_Arrow__Order__Mirabelle_Oindi = 'fmb_$i_1' ).
tff(declare_tc_Arrow__Order__Mirabelle_Oalt,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(tc_Arrow__Order__Mirabelle_Oalt_definition,axiom,
tc_Arrow__Order__Mirabelle_Oalt = 'fmb_$i_1' ).
tff(declare_tc_bool,type,
tc_bool: $i ).
tff(tc_bool_definition,axiom,
tc_bool = 'fmb_$i_1' ).
tff(declare_v_F,type,
v_F: $i ).
tff(v_F_definition,axiom,
v_F = 'fmb_$i_2' ).
tff(declare_v_sko__Arrow__Order__Mirabelle__XIIA__def__2,type,
v_sko__Arrow__Order__Mirabelle__XIIA__def__2: $i > $i ).
tff(function_v_sko__Arrow__Order__Mirabelle__XIIA__def__2,axiom,
( ( v_sko__Arrow__Order__Mirabelle__XIIA__def__2('fmb_$i_1') = 'fmb_$i_1' )
& ( v_sko__Arrow__Order__Mirabelle__XIIA__def__2('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(function_tc_prod,axiom,
( ( tc_prod('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( tc_prod('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( tc_prod('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( tc_prod('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_tc_fun,type,
tc_fun: ( $i * $i ) > $i ).
tff(function_tc_fun,axiom,
( ( tc_fun('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( tc_fun('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( tc_fun('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( tc_fun('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2,type,
v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2: $i > $i ).
tff(function_v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2,axiom,
( ( v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2('fmb_$i_1') = 'fmb_$i_1' )
& ( v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_hAPP,type,
hAPP: ( $i * $i ) > $i ).
tff(function_hAPP,axiom,
( ( hAPP('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( hAPP('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( hAPP('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( hAPP('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_v_sko__Arrow__Order__Mirabelle__XIIA__def__3,type,
v_sko__Arrow__Order__Mirabelle__XIIA__def__3: $i > $i ).
tff(function_v_sko__Arrow__Order__Mirabelle__XIIA__def__3,axiom,
( ( v_sko__Arrow__Order__Mirabelle__XIIA__def__3('fmb_$i_1') = 'fmb_$i_1' )
& ( v_sko__Arrow__Order__Mirabelle__XIIA__def__3('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_v_sko__Arrow__Order__Mirabelle__Xdictator__def__1,type,
v_sko__Arrow__Order__Mirabelle__Xdictator__def__1: ( $i * $i ) > $i ).
tff(function_v_sko__Arrow__Order__Mirabelle__Xdictator__def__1,axiom,
( ( v_sko__Arrow__Order__Mirabelle__Xdictator__def__1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( v_sko__Arrow__Order__Mirabelle__Xdictator__def__1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( v_sko__Arrow__Order__Mirabelle__Xdictator__def__1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( v_sko__Arrow__Order__Mirabelle__Xdictator__def__1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_Arrow__Order__Mirabelle_OIIA,type,
c_Arrow__Order__Mirabelle_OIIA: $i > $o ).
tff(predicate_c_Arrow__Order__Mirabelle_OIIA,axiom,
( c_Arrow__Order__Mirabelle_OIIA('fmb_$i_1')
& c_Arrow__Order__Mirabelle_OIIA('fmb_$i_2') ) ).
tff(declare_c_in,type,
c_in: ( $i * $i * $i ) > $o ).
tff(predicate_c_in,axiom,
( c_in('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& c_in('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& c_in('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& c_in('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& c_in('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& c_in('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& c_in('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& c_in('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c_Arrow__Order__Mirabelle_Ounanimity,type,
c_Arrow__Order__Mirabelle_Ounanimity: $i > $o ).
tff(predicate_c_Arrow__Order__Mirabelle_Ounanimity,axiom,
( c_Arrow__Order__Mirabelle_Ounanimity('fmb_$i_1')
& c_Arrow__Order__Mirabelle_Ounanimity('fmb_$i_2') ) ).
tff(declare_c_Arrow__Order__Mirabelle_Odictator,type,
c_Arrow__Order__Mirabelle_Odictator: ( $i * $i ) > $o ).
tff(predicate_c_Arrow__Order__Mirabelle_Odictator,axiom,
( ~ c_Arrow__Order__Mirabelle_Odictator('fmb_$i_1','fmb_$i_1')
& ~ c_Arrow__Order__Mirabelle_Odictator('fmb_$i_1','fmb_$i_2')
& ~ c_Arrow__Order__Mirabelle_Odictator('fmb_$i_2','fmb_$i_1')
& ~ c_Arrow__Order__Mirabelle_Odictator('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_hBOOL,type,
hBOOL: $i > $o ).
tff(predicate_hBOOL,axiom,
( hBOOL('fmb_$i_1')
& hBOOL('fmb_$i_2') ) ).
tff(declare_c_fequal,type,
c_fequal: ( $i * $i * $i ) > $o ).
tff(predicate_c_fequal,axiom,
( c_fequal('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& c_fequal('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ c_fequal('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ c_fequal('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ c_fequal('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ c_fequal('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& c_fequal('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& c_fequal('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT029-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 23:33:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 0.13/0.45 % (2133475)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (2133480)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1521671948_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45 % TRYING [1]
% 0.13/0.45 % TRYING [2]
% 0.13/0.45 % Finite Model Found!
% 0.13/0.45 % SZS status Satisfiable for theBenchmark
% 0.13/0.45 % (2133480) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2133475-2133480"...
% 0.13/0.45 % (2133480)...printing done.
% 0.13/0.45 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.13/0.45 % (2133480)------------------------------
% 0.13/0.45 % (2133480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (2133480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (2133480)CaDiCaL version: 2.1.3
% 0.13/0.45 % (2133480)Termination reason: Satisfiable
% 0.13/0.45 % (2133480)Time elapsed: 0.001 s
% 0.13/0.45 % (2133480)Peak memory usage: 11 MB
% 0.13/0.45 % (2133480)Instructions burned: 2 (million)
% 0.13/0.45 % (2133475)Success in time 0.037 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------