%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE174+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:41:03 AM UTC 2026
% Result : Satisfiable 0.21s 0.52s
% Output : FiniteModel 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] : ( X = 'fmb_$i_1' ) ).
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_1' ).
tff(declare_addition,type,
addition: ( $i * $i ) > $i ).
tff(function_addition,axiom,
addition('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_multiplication,type,
multiplication: ( $i * $i ) > $i ).
tff(function_multiplication,axiom,
multiplication('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_antidomain,type,
antidomain: $i > $i ).
tff(function_antidomain,axiom,
antidomain('fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_domain,type,
domain: $i > $i ).
tff(function_domain,axiom,
domain('fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_coantidomain,type,
coantidomain: $i > $i ).
tff(function_coantidomain,axiom,
coantidomain('fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_codomain,type,
codomain: $i > $i ).
tff(function_codomain,axiom,
codomain('fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_c,type,
c: $i > $i ).
tff(function_c,axiom,
c('fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_domain_difference,type,
domain_difference: ( $i * $i ) > $i ).
tff(function_domain_difference,axiom,
domain_difference('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_forward_diamond,type,
forward_diamond: ( $i * $i ) > $i ).
tff(function_forward_diamond,axiom,
forward_diamond('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_backward_diamond,type,
backward_diamond: ( $i * $i ) > $i ).
tff(function_backward_diamond,axiom,
backward_diamond('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_forward_box,type,
forward_box: ( $i * $i ) > $i ).
tff(function_forward_box,axiom,
forward_box('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_backward_box,type,
backward_box: ( $i * $i ) > $i ).
tff(function_backward_box,axiom,
backward_box('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_divergence,type,
divergence: $i > $i ).
tff(function_divergence,axiom,
divergence('fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_star,type,
star: $i > $i ).
tff(function_star,axiom,
star('fmb_$i_1') = 'fmb_$i_1' ).
tff(declare_leq,type,
leq: ( $i * $i ) > $o ).
tff(predicate_leq,axiom,
leq('fmb_$i_1','fmb_$i_1') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE174+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n015.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 13:18:26 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.45 Running first-order model finding
% 0.13/0.45 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
% 0.21/0.52 % (1672995)Will run a generic schedule for satisfiability detection.
% 0.21/0.52 % (1673001)% WARNING: option uhcvi not known.
% 0.21/0.52 % (1673001)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3151701388:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.52 % (1673000)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2538200089_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.52 % (1673004)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2155237732:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.52 % (1673002)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=897354793:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.52 % (1673005)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1719702866:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.52 % (1673006)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3327531091:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.52 % (1673003)dis+10_1_sil=32000:sp=arity:random_seed=2359252420:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.52 % TRYING [1]
% 0.21/0.52 % Finite Model Found!
% 0.21/0.52 % SZS status Satisfiable for theBenchmark
% 0.21/0.52 % (1673000) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1672995-1673000"...
% 0.21/0.52 % (1673000)...printing done.
% 0.21/0.52 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.21/0.52 % (1673000)------------------------------
% 0.21/0.52 % (1673000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.52 % (1673000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.52 % (1673000)CaDiCaL version: 2.1.3
% 0.21/0.52 % (1673000)Termination reason: Satisfiable
% 0.21/0.52 % (1673000)Time elapsed: 0.011 s
% 0.21/0.52 % (1673000)Peak memory usage: 11 MB
% 0.21/0.52 % (1673000)Instructions burned: 12 (million)
% 0.21/0.52 % (1672995)Success in time 0.05 s
% 0.21/0.52 % Vampire exiting
%------------------------------------------------------------------------------