%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS014-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:42:05 AM UTC 2026
% Result : Satisfiable 0.17s 0.46s
% Output : FiniteModel 0.17s
% 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_exists,type,
exists: $i ).
tff(exists_definition,axiom,
exists = 'fmb_$i_1' ).
tff(declare_u0r1,type,
u0r1: $i > $i ).
tff(function_u0r1,axiom,
( ( u0r1('fmb_$i_1') = 'fmb_$i_2' )
& ( u0r1('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_u1r2,type,
u1r2: $i > $i ).
tff(function_u1r2,axiom,
( ( u1r2('fmb_$i_1') = 'fmb_$i_2' )
& ( u1r2('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_u1r1,type,
u1r1: ( $i * $i ) > $i ).
tff(function_u1r1,axiom,
( ( u1r1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( u1r1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( u1r1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( u1r1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_u2r3,type,
u2r3: $i > $i ).
tff(function_u2r3,axiom,
( ( u2r3('fmb_$i_1') = 'fmb_$i_2' )
& ( u2r3('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_u2r2,type,
u2r2: $i > $i ).
tff(function_u2r2,axiom,
( ( u2r2('fmb_$i_1') = 'fmb_$i_1' )
& ( u2r2('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_u2r1,type,
u2r1: ( $i * $i * $i ) > $i ).
tff(function_u2r1,axiom,
( ( u2r1('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( u2r1('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( u2r1('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( u2r1('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( u2r1('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( u2r1('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( u2r1('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( u2r1('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_e,type,
e: $i > $o ).
tff(predicate_e,axiom,
( e('fmb_$i_1')
& e('fmb_$i_2') ) ).
tff(declare_s,type,
s: ( $i * $i ) > $o ).
tff(predicate_s,axiom,
( s('fmb_$i_1','fmb_$i_1')
& s('fmb_$i_1','fmb_$i_2')
& s('fmb_$i_2','fmb_$i_1')
& s('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_r,type,
r: ( $i * $i ) > $o ).
tff(predicate_r,axiom,
( r('fmb_$i_1','fmb_$i_1')
& r('fmb_$i_1','fmb_$i_2')
& r('fmb_$i_2','fmb_$i_1')
& r('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_s2exact,type,
s2exact: $i > $o ).
tff(predicate_s2exact,axiom,
( s2exact('fmb_$i_1')
& s2exact('fmb_$i_2') ) ).
tff(declare_r1exact,type,
r1exact: $i > $o ).
tff(predicate_r1exact,axiom,
( r1exact('fmb_$i_1')
& r1exact('fmb_$i_2') ) ).
tff(declare_equalish,type,
equalish: ( $i * $i ) > $o ).
tff(predicate_equalish,axiom,
( ~ equalish('fmb_$i_1','fmb_$i_1')
& equalish('fmb_$i_1','fmb_$i_2')
& ~ equalish('fmb_$i_2','fmb_$i_1')
& equalish('fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS014-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 13:16:06 UTC 2026
% 0.13/0.38 % 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
% 0.17/0.46 % (3519500)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (3519512)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3334628350_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % TRYING [1]
% 0.17/0.46 % TRYING [2]
% 0.17/0.46 % Finite Model Found!
% 0.17/0.46 % SZS status Satisfiable for theBenchmark
% 0.17/0.46 % (3519512) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3519500-3519512"...
% 0.17/0.46 % (3519512)...printing done.
% 0.17/0.46 % (3519513)% WARNING: option uhcvi not known.
% 0.17/0.46 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.17/0.46 % (3519512)------------------------------
% 0.17/0.46 % (3519512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (3519512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (3519512)CaDiCaL version: 2.1.3
% 0.17/0.46 % (3519512)Termination reason: Satisfiable
% 0.17/0.46 % (3519512)Time elapsed: 0.001 s
% 0.17/0.46 % (3519512)Peak memory usage: 11 MB
% 0.17/0.46 % (3519512)Instructions burned: 2 (million)
% 0.17/0.46 % (3519500)Success in time 0.034 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------