%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE172+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:41:03 AM UTC 2026
% Result : CounterSatisfiable 0.08s 0.39s
% 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': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_4' ) ) ).
tff(declare_zero,type,
zero: $i ).
tff(zero_definition,axiom,
zero = 'fmb_$i_1' ).
tff(declare_one,type,
one: $i ).
tff(one_definition,axiom,
one = 'fmb_$i_2' ).
tff(declare_sigma,type,
sigma: $i ).
tff(sigma_definition,axiom,
sigma = 'fmb_$i_3' ).
tff(declare_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_4' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_3' ).
tff(declare_addition,type,
addition: ( $i * $i ) > $i ).
tff(function_addition,axiom,
( ( addition('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( addition('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( addition('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( addition('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( addition('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( addition('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( addition('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( addition('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( addition('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( addition('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( addition('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( addition('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( addition('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( addition('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( addition('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( addition('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_multiplication,type,
multiplication: ( $i * $i ) > $i ).
tff(function_multiplication,axiom,
( ( multiplication('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( multiplication('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( multiplication('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( multiplication('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( multiplication('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( multiplication('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( multiplication('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_star,type,
star: $i > $i ).
tff(function_star,axiom,
( ( star('fmb_$i_1') = 'fmb_$i_2' )
& ( star('fmb_$i_2') = 'fmb_$i_2' )
& ( star('fmb_$i_3') = 'fmb_$i_3' )
& ( star('fmb_$i_4') = 'fmb_$i_2' ) ) ).
tff(declare_leq,type,
leq: ( $i * $i ) > $o ).
tff(predicate_leq,axiom,
( leq('fmb_$i_1','fmb_$i_1')
& leq('fmb_$i_1','fmb_$i_2')
& leq('fmb_$i_1','fmb_$i_3')
& leq('fmb_$i_1','fmb_$i_4')
& ~ leq('fmb_$i_2','fmb_$i_1')
& leq('fmb_$i_2','fmb_$i_2')
& leq('fmb_$i_2','fmb_$i_3')
& ~ leq('fmb_$i_2','fmb_$i_4')
& ~ leq('fmb_$i_3','fmb_$i_1')
& ~ leq('fmb_$i_3','fmb_$i_2')
& leq('fmb_$i_3','fmb_$i_3')
& ~ leq('fmb_$i_3','fmb_$i_4')
& ~ leq('fmb_$i_4','fmb_$i_1')
& leq('fmb_$i_4','fmb_$i_2')
& leq('fmb_$i_4','fmb_$i_3')
& leq('fmb_$i_4','fmb_$i_4') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KLE172+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 13:14:45 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 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
% 0.08/0.39 % (2384637)Will run a generic schedule for satisfiability detection.
% 0.08/0.39 % (2384647)% WARNING: option uhcvi not known.
% 0.08/0.39 % (2384646)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=573234836_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.39 % (2384648)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1041788546:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.39 % (2384649)dis+10_1_sil=32000:sp=arity:random_seed=1533497771:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.39 % (2384647)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=907780964:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.39 % TRYING [1]
% 0.08/0.39 % TRYING [2]
% 0.08/0.39 % TRYING [3]
% 0.08/0.39 % (2384650)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3637800872:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.39 % (2384651)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2344943466:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.39 % TRYING [4]
% 0.08/0.39 % (2384652)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3669076541:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.39 % Finite Model Found!
% 0.08/0.39 % SZS status CounterSatisfiable for theBenchmark
% 0.08/0.39 % (2384646) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2384637-2384646"...
% 0.08/0.39 % (2384646)...printing done.
% 0.08/0.39 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.08/0.39 % (2384646)------------------------------
% 0.08/0.39 % (2384646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.39 % (2384646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.39 % (2384646)CaDiCaL version: 2.1.3
% 0.08/0.39 % (2384646)Termination reason: Satisfiable
% 0.08/0.39 % (2384646)Time elapsed: 0.028 s
% 0.08/0.39 % (2384646)Peak memory usage: 14 MB
% 0.08/0.39 % (2384646)Instructions burned: 93 (million)
% 0.08/0.39 % (2384637)Success in time 0.055 s
% 0.08/0.39 % Vampire exiting
%------------------------------------------------------------------------------