%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 09:38:08 AM UTC 2026
% Result : Satisfiable 0.23s 0.31s
% Output : FiniteModel 0.23s
% 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': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).
tff(declare_s,type,
s: $i ).
tff(s_definition,axiom,
s = 'fmb_$i_1' ).
tff(declare_w,type,
w: $i ).
tff(w_definition,axiom,
w = 'fmb_$i_2' ).
tff(declare_combinator,type,
combinator: $i ).
tff(combinator_definition,axiom,
combinator = 'fmb_$i_1' ).
tff(declare_apply,type,
apply: ( $i * $i ) > $i ).
tff(function_apply,axiom,
( ( apply('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' )
& ( apply('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( apply('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( apply('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( apply('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( apply('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( apply('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( apply('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( apply('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n003.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 21:31:13 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 Running first-order model finding
% 0.09/0.26 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
% 0.23/0.31 % (2045303)Will run a generic schedule for satisfiability detection.
% 0.23/0.31 % (2045313)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2282205927:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.23/0.31 % (2045311)dis+10_1_sil=32000:sp=arity:random_seed=1569355168:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.23/0.31 % (2045314)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2740758327:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.23/0.31 % (2045309)% WARNING: option uhcvi not known.
% 0.23/0.31 % (2045310)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2923573324:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.23/0.31 % (2045308)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2360800324_3000 on theBenchmark for (3000ds/0Mi)
% 0.23/0.31 % (2045309)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1372929442:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.23/0.31 % TRYING [1]
% 0.23/0.31 % TRYING [2]
% 0.23/0.31 % TRYING [3]
% 0.23/0.31 % (2045312)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1609187748:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.23/0.31 % Finite Model Found!
% 0.23/0.31 % SZS status Satisfiable for theBenchmark
% 0.23/0.31 % (2045308) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2045303-2045308"...
% 0.23/0.31 % (2045308)...printing done.
% 0.23/0.31 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.23/0.31 % (2045308)------------------------------
% 0.23/0.31 % (2045308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (2045308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (2045308)CaDiCaL version: 2.1.3
% 0.23/0.31 % (2045308)Termination reason: Satisfiable
% 0.23/0.31 % (2045308)Time elapsed: 0.005 s
% 0.23/0.31 % (2045308)Peak memory usage: 11 MB
% 0.23/0.31 % (2045308)Instructions burned: 6 (million)
% 0.23/0.31 % (2045303)Success in time 0.046 s
% 0.23/0.32 % Vampire exiting
%------------------------------------------------------------------------------