%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT019-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:36:57 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': $i ).
tff('finite_domain_$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_true,type,
true: $i ).
tff(true_definition,axiom,
true = 'fmb_$i_1' ).
tff(declare_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_1' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_2' ).
tff(declare_ifeq4,type,
ifeq4: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq4,axiom,
( ( ifeq4('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq4('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq4('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq4('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq4('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq4('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ifeq3,type,
ifeq3: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq3,axiom,
( ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ifeq2,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq2,axiom,
( ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq,axiom,
( ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_equivalent,type,
equivalent: ( $i * $i ) > $i ).
tff(function_equivalent,axiom,
( ( equivalent('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( equivalent('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( equivalent('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( equivalent('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_there_exists,type,
there_exists: $i > $i ).
tff(function_there_exists,axiom,
( ( there_exists('fmb_$i_1') = 'fmb_$i_2' )
& ( there_exists('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_domain,type,
domain: $i > $i ).
tff(function_domain,axiom,
( ( domain('fmb_$i_1') = 'fmb_$i_2' )
& ( domain('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_codomain,type,
codomain: $i > $i ).
tff(function_codomain,axiom,
( ( codomain('fmb_$i_1') = 'fmb_$i_2' )
& ( codomain('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_compose,type,
compose: ( $i * $i ) > $i ).
tff(function_compose,axiom,
( ( compose('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( compose('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( compose('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( compose('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT019-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n010.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 21:14:03 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 Running first-order model finding
% 0.09/0.25 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 % (2347081)Will run a generic schedule for satisfiability detection.
% 0.23/0.31 % (2347088)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=466283601:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.31 % (2347090)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3676783014:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.31 % (2347087)% WARNING: option uhcvi not known.
% 0.23/0.31 % (2347087)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1517121793:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.31 % (2347086)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=822324669_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.31 % (2347092)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2544642680:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.31 % (2347089)dis+10_1_sil=32000:sp=arity:random_seed=3870815266:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.31 % TRYING [1]
% 0.23/0.31 % TRYING [2]
% 0.23/0.31 % (2347091)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2496900605:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.31 % Finite Model Found!
% 0.23/0.31 % SZS status Satisfiable for theBenchmark
% 0.23/0.31 % (2347086) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2347081-2347086"...
% 0.23/0.31 % (2347086)...printing done.
% 0.23/0.31 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.23/0.31 % (2347086)------------------------------
% 0.23/0.31 % (2347086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.31 % (2347086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.31 % (2347086)CaDiCaL version: 2.1.3
% 0.23/0.31 % (2347086)Termination reason: Satisfiable
% 0.23/0.31 % (2347086)Time elapsed: 0.007 s
% 0.23/0.31 % (2347086)Peak memory usage: 11 MB
% 0.23/0.31 % (2347086)Instructions burned: 7 (million)
% 0.23/0.31 % (2347081)Success in time 0.045 s
% 0.23/0.31 % Vampire exiting
%------------------------------------------------------------------------------