%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM014+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:40:08 AM UTC 2026
% Result : CounterSatisfiable 0.17s 0.28s
% 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': $i ).
tff('declare_$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_aElement0,type,
aElement0: $i > $o ).
tff(predicate_aElement0,axiom,
( aElement0('fmb_$i_1')
& aElement0('fmb_$i_2')
& aElement0('fmb_$i_3') ) ).
tff(declare_aRewritingSystem0,type,
aRewritingSystem0: $i > $o ).
tff(predicate_aRewritingSystem0,axiom,
( aRewritingSystem0('fmb_$i_1')
& ~ aRewritingSystem0('fmb_$i_2')
& ~ aRewritingSystem0('fmb_$i_3') ) ).
tff(declare_aReductOfIn0,type,
aReductOfIn0: ( $i * $i * $i ) > $o ).
tff(predicate_aReductOfIn0,axiom,
( aReductOfIn0('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ aReductOfIn0('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& ~ aReductOfIn0('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& aReductOfIn0('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& ~ aReductOfIn0('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ aReductOfIn0('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& ~ aReductOfIn0('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(predicate_iLess0,axiom,
( iLess0('fmb_$i_1','fmb_$i_1')
& iLess0('fmb_$i_1','fmb_$i_2')
& iLess0('fmb_$i_1','fmb_$i_3')
& iLess0('fmb_$i_2','fmb_$i_1')
& iLess0('fmb_$i_2','fmb_$i_2')
& iLess0('fmb_$i_2','fmb_$i_3')
& iLess0('fmb_$i_3','fmb_$i_1')
& iLess0('fmb_$i_3','fmb_$i_2')
& ~ iLess0('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_sdtmndtplgtdt0,type,
sdtmndtplgtdt0: ( $i * $i * $i ) > $o ).
tff(predicate_sdtmndtplgtdt0,axiom,
( sdtmndtplgtdt0('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& sdtmndtplgtdt0('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& sdtmndtplgtdt0('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ sdtmndtplgtdt0('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ sdtmndtplgtdt0('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ sdtmndtplgtdt0('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& ~ sdtmndtplgtdt0('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ sdtmndtplgtdt0('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& ~ sdtmndtplgtdt0('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& ~ sdtmndtplgtdt0('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& ~ sdtmndtplgtdt0('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_sdtmndtasgtdt0,type,
sdtmndtasgtdt0: ( $i * $i * $i ) > $o ).
tff(predicate_sdtmndtasgtdt0,axiom,
( sdtmndtasgtdt0('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& sdtmndtasgtdt0('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& sdtmndtasgtdt0('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ sdtmndtasgtdt0('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ sdtmndtasgtdt0('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ sdtmndtasgtdt0('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& ~ sdtmndtasgtdt0('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ sdtmndtasgtdt0('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& ~ sdtmndtasgtdt0('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& ~ sdtmndtasgtdt0('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& sdtmndtasgtdt0('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ sdtmndtasgtdt0('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& ~ sdtmndtasgtdt0('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ sdtmndtasgtdt0('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ sdtmndtasgtdt0('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ sdtmndtasgtdt0('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ sdtmndtasgtdt0('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& ~ sdtmndtasgtdt0('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& ~ sdtmndtasgtdt0('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ sdtmndtasgtdt0('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& sdtmndtasgtdt0('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& ~ sdtmndtasgtdt0('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& ~ sdtmndtasgtdt0('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ sdtmndtasgtdt0('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& ~ sdtmndtasgtdt0('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ sdtmndtasgtdt0('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& ~ sdtmndtasgtdt0('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).
tff(declare_isConfluent0,type,
isConfluent0: $i > $o ).
tff(predicate_isConfluent0,axiom,
( ~ isConfluent0('fmb_$i_1')
& isConfluent0('fmb_$i_2')
& isConfluent0('fmb_$i_3') ) ).
tff(declare_isLocallyConfluent0,type,
isLocallyConfluent0: $i > $o ).
tff(predicate_isLocallyConfluent0,axiom,
( isLocallyConfluent0('fmb_$i_1')
& isLocallyConfluent0('fmb_$i_2')
& isLocallyConfluent0('fmb_$i_3') ) ).
tff(declare_isTerminating0,type,
isTerminating0: $i > $o ).
tff(predicate_isTerminating0,axiom,
( isTerminating0('fmb_$i_1')
& isTerminating0('fmb_$i_2')
& isTerminating0('fmb_$i_3') ) ).
tff(declare_aNormalFormOfIn0,type,
aNormalFormOfIn0: ( $i * $i * $i ) > $o ).
tff(predicate_aNormalFormOfIn0,axiom,
( ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_1','fmb_$i_3')
& ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_2','fmb_$i_3')
& ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_3','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_3','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_1','fmb_$i_3','fmb_$i_3')
& aNormalFormOfIn0('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_2','fmb_$i_1','fmb_$i_3')
& aNormalFormOfIn0('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_2','fmb_$i_2','fmb_$i_3')
& ~ aNormalFormOfIn0('fmb_$i_2','fmb_$i_3','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_2','fmb_$i_3','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_2','fmb_$i_3','fmb_$i_3')
& aNormalFormOfIn0('fmb_$i_3','fmb_$i_1','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_3','fmb_$i_1','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_3','fmb_$i_1','fmb_$i_3')
& ~ aNormalFormOfIn0('fmb_$i_3','fmb_$i_2','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_3','fmb_$i_2','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_3','fmb_$i_2','fmb_$i_3')
& aNormalFormOfIn0('fmb_$i_3','fmb_$i_3','fmb_$i_1')
& ~ aNormalFormOfIn0('fmb_$i_3','fmb_$i_3','fmb_$i_2')
& ~ aNormalFormOfIn0('fmb_$i_3','fmb_$i_3','fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM014+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 21:40:52 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.17/0.28 % (4065857)Will run a generic schedule for satisfiability detection.
% 0.17/0.28 % (4065868)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=451057573:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.28 % (4065863)% WARNING: option uhcvi not known.
% 0.17/0.28 % (4065862)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=907510982_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.28 % (4065863)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1460832908:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.28 % (4065864)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1847837448:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.28 % (4065865)dis+10_1_sil=32000:sp=arity:random_seed=1525556882:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.28 % (4065866)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3628158347:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.28 % (4065867)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2392712605:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.28 % TRYING [1]
% 0.17/0.28 % TRYING [2]
% 0.17/0.28 % TRYING [3]
% 0.17/0.28 % Finite Model Found!
% 0.17/0.28 % SZS status CounterSatisfiable for theBenchmark
% 0.17/0.28 % (4065862) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4065857-4065862"...
% 0.17/0.28 % (4065862)...printing done.
% 0.17/0.28 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.17/0.28 % (4065862)------------------------------
% 0.17/0.28 % (4065862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.28 % (4065862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.28 % (4065862)CaDiCaL version: 2.1.3
% 0.17/0.28 % (4065862)Termination reason: Satisfiable
% 0.17/0.28 % (4065862)Time elapsed: 0.016 s
% 0.17/0.28 % (4065862)Peak memory usage: 12 MB
% 0.17/0.28 % (4065862)Instructions burned: 31 (million)
% 0.17/0.28 % (4065857)Success in time 0.053 s
% 0.17/0.28 % Vampire exiting
%------------------------------------------------------------------------------