%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN433-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:07:53 PM UTC 2026
% Result : Satisfiable 0.08s 0.23s
% Output : FiniteModel 0.08s
% 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_a220,type,
a220: $i ).
tff(a220_definition,axiom,
a220 = 'fmb_$i_1' ).
tff(declare_a219,type,
a219: $i ).
tff(a219_definition,axiom,
a219 = 'fmb_$i_2' ).
tff(declare_a218,type,
a218: $i ).
tff(a218_definition,axiom,
a218 = 'fmb_$i_2' ).
tff(declare_a216,type,
a216: $i ).
tff(a216_definition,axiom,
a216 = 'fmb_$i_2' ).
tff(declare_a214,type,
a214: $i ).
tff(a214_definition,axiom,
a214 = 'fmb_$i_2' ).
tff(declare_a209,type,
a209: $i ).
tff(a209_definition,axiom,
a209 = 'fmb_$i_2' ).
tff(declare_a208,type,
a208: $i ).
tff(a208_definition,axiom,
a208 = 'fmb_$i_2' ).
tff(declare_a206,type,
a206: $i ).
tff(a206_definition,axiom,
a206 = 'fmb_$i_2' ).
tff(declare_a204,type,
a204: $i ).
tff(a204_definition,axiom,
a204 = 'fmb_$i_2' ).
tff(declare_a203,type,
a203: $i ).
tff(a203_definition,axiom,
a203 = 'fmb_$i_2' ).
tff(declare_a200,type,
a200: $i ).
tff(a200_definition,axiom,
a200 = 'fmb_$i_2' ).
tff(declare_a199,type,
a199: $i ).
tff(a199_definition,axiom,
a199 = 'fmb_$i_2' ).
tff(declare_a196,type,
a196: $i ).
tff(a196_definition,axiom,
a196 = 'fmb_$i_2' ).
tff(declare_a222,type,
a222: $i ).
tff(a222_definition,axiom,
a222 = 'fmb_$i_2' ).
tff(declare_a217,type,
a217: $i ).
tff(a217_definition,axiom,
a217 = 'fmb_$i_2' ).
tff(declare_a213,type,
a213: $i ).
tff(a213_definition,axiom,
a213 = 'fmb_$i_2' ).
tff(declare_a212,type,
a212: $i ).
tff(a212_definition,axiom,
a212 = 'fmb_$i_2' ).
tff(declare_a211,type,
a211: $i ).
tff(a211_definition,axiom,
a211 = 'fmb_$i_2' ).
tff(declare_a207,type,
a207: $i ).
tff(a207_definition,axiom,
a207 = 'fmb_$i_2' ).
tff(declare_a205,type,
a205: $i ).
tff(a205_definition,axiom,
a205 = 'fmb_$i_2' ).
tff(declare_a202,type,
a202: $i ).
tff(a202_definition,axiom,
a202 = 'fmb_$i_2' ).
tff(declare_a198,type,
a198: $i ).
tff(a198_definition,axiom,
a198 = 'fmb_$i_2' ).
tff(declare_a197,type,
a197: $i ).
tff(a197_definition,axiom,
a197 = 'fmb_$i_2' ).
tff(declare_a221,type,
a221: $i ).
tff(a221_definition,axiom,
a221 = 'fmb_$i_2' ).
tff(declare_a215,type,
a215: $i ).
tff(a215_definition,axiom,
a215 = 'fmb_$i_2' ).
tff(declare_a210,type,
a210: $i ).
tff(a210_definition,axiom,
a210 = 'fmb_$i_2' ).
tff(declare_hskp25,type,
hskp25: $o ).
tff(hskp25_definition,axiom,
hskp25 ).
tff(declare_ndr1_0,type,
ndr1_0: $o ).
tff(ndr1_0_definition,axiom,
ndr1_0 ).
tff(declare_hskp24,type,
hskp24: $o ).
tff(hskp24_definition,axiom,
~ hskp24 ).
tff(declare_hskp23,type,
hskp23: $o ).
tff(hskp23_definition,axiom,
~ hskp23 ).
tff(declare_hskp22,type,
hskp22: $o ).
tff(hskp22_definition,axiom,
~ hskp22 ).
tff(declare_hskp21,type,
hskp21: $o ).
tff(hskp21_definition,axiom,
hskp21 ).
tff(declare_hskp20,type,
hskp20: $o ).
tff(hskp20_definition,axiom,
~ hskp20 ).
tff(declare_hskp19,type,
hskp19: $o ).
tff(hskp19_definition,axiom,
~ hskp19 ).
tff(declare_hskp18,type,
hskp18: $o ).
tff(hskp18_definition,axiom,
~ hskp18 ).
tff(declare_hskp17,type,
hskp17: $o ).
tff(hskp17_definition,axiom,
~ hskp17 ).
tff(declare_hskp16,type,
hskp16: $o ).
tff(hskp16_definition,axiom,
~ hskp16 ).
tff(declare_hskp15,type,
hskp15: $o ).
tff(hskp15_definition,axiom,
~ hskp15 ).
tff(declare_hskp14,type,
hskp14: $o ).
tff(hskp14_definition,axiom,
~ hskp14 ).
tff(declare_hskp13,type,
hskp13: $o ).
tff(hskp13_definition,axiom,
~ hskp13 ).
tff(declare_hskp12,type,
hskp12: $o ).
tff(hskp12_definition,axiom,
~ hskp12 ).
tff(declare_hskp11,type,
hskp11: $o ).
tff(hskp11_definition,axiom,
~ hskp11 ).
tff(declare_hskp10,type,
hskp10: $o ).
tff(hskp10_definition,axiom,
~ hskp10 ).
tff(declare_hskp9,type,
hskp9: $o ).
tff(hskp9_definition,axiom,
~ hskp9 ).
tff(declare_hskp8,type,
hskp8: $o ).
tff(hskp8_definition,axiom,
~ hskp8 ).
tff(declare_hskp7,type,
hskp7: $o ).
tff(hskp7_definition,axiom,
~ hskp7 ).
tff(declare_hskp6,type,
hskp6: $o ).
tff(hskp6_definition,axiom,
~ hskp6 ).
tff(declare_hskp5,type,
hskp5: $o ).
tff(hskp5_definition,axiom,
~ hskp5 ).
tff(declare_hskp4,type,
hskp4: $o ).
tff(hskp4_definition,axiom,
hskp4 ).
tff(declare_hskp3,type,
hskp3: $o ).
tff(hskp3_definition,axiom,
~ hskp3 ).
tff(declare_hskp2,type,
hskp2: $o ).
tff(hskp2_definition,axiom,
hskp2 ).
tff(declare_hskp1,type,
hskp1: $o ).
tff(hskp1_definition,axiom,
~ hskp1 ).
tff(declare_hskp0,type,
hskp0: $o ).
tff(hskp0_definition,axiom,
~ hskp0 ).
tff(declare_c1_1,type,
c1_1: $i > $o ).
tff(predicate_c1_1,axiom,
( c1_1('fmb_$i_1')
& ~ c1_1('fmb_$i_2') ) ).
tff(declare_c2_1,type,
c2_1: $i > $o ).
tff(predicate_c2_1,axiom,
( c2_1('fmb_$i_1')
& c2_1('fmb_$i_2') ) ).
tff(declare_c0_1,type,
c0_1: $i > $o ).
tff(predicate_c0_1,axiom,
( c0_1('fmb_$i_1')
& c0_1('fmb_$i_2') ) ).
tff(declare_c3_1,type,
c3_1: $i > $o ).
tff(predicate_c3_1,axiom,
( c3_1('fmb_$i_1')
& ~ c3_1('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN433-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n013.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 15:58:51 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.19 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
% 0.08/0.23 % (1298837)Will run a generic schedule for satisfiability detection.
% 0.08/0.23 % (1298842)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2216598196_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.23 % Detected minimum model sizes of [1]
% 0.08/0.23 % Detected maximum model sizes of [26]
% 0.08/0.23 % TRYING [1]
% 0.08/0.23 % TRYING [2]
% 0.08/0.23 % Finite Model Found!
% 0.08/0.23 % SZS status Satisfiable for theBenchmark
% 0.08/0.23 % (1298842) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1298837-1298842"...
% 0.08/0.23 % (1298842)...printing done.
% 0.08/0.23 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.08/0.23 % (1298842)------------------------------
% 0.08/0.23 % (1298842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.23 % (1298842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.23 % (1298842)CaDiCaL version: 2.1.3
% 0.08/0.23 % (1298842)Termination reason: Satisfiable
% 0.08/0.23 % (1298842)Time elapsed: 0.002 s
% 0.08/0.23 % (1298842)Peak memory usage: 11 MB
% 0.08/0.23 % (1298842)Instructions burned: 7 (million)
% 0.08/0.23 % (1298837)Success in time 0.028 s
% 0.08/0.23 % Vampire exiting
%------------------------------------------------------------------------------