%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO142^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 : Wed Sep 30 08:49:02 AM UTC 2026
% Result : Theorem 0.08s 0.23s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 5 unt; 0 typ; 3 def)
% Number of atoms : 107 ( 18 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 121 ( 24 ~; 18 |; 6 &; 62 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 9 !; 8 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
f: $i > $i ).
thf(func_def_2,type,
p: $i > $o ).
thf(f1,conjecture,
? [X0: $i,X1: $i] :
( ( ( p @ X1 )
=> ( p @ ( f @ ( f @ a ) ) ) )
& ( ( p @ X0 )
=> ( p @ ( f @ ( f @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTEST4) ).
thf(f2,negated_conjecture,
~ ? [X0: $i,X1: $i] :
( ( ( p @ X1 )
=> ( p @ ( f @ ( f @ a ) ) ) )
& ( ( p @ X0 )
=> ( p @ ( f @ ( f @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ? [X0: $i,X1: $i] :
( ( ( p @ X1 )
=> ( p @ ( f @ ( f @ a ) ) ) )
& ( ( p @ X0 )
=> ( p @ ( f @ ( f @ X1 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ? [X0: $i,X1: $i] :
( ( ( ( p @ X1 )
= $true )
=> ( ( p @ ( f @ ( f @ a ) ) )
= $true ) )
& ( ( ( p @ X0 )
= $true )
=> ( ( p @ ( f @ ( f @ X1 ) ) )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
! [X0: $i,X1: $i] :
( ( ( ( p @ ( f @ ( f @ a ) ) )
!= $true )
& ( ( p @ X1 )
= $true ) )
| ( ( ( p @ ( f @ ( f @ X1 ) ) )
!= $true )
& ( ( p @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
! [X0: $i,X1: $i] :
( ( ( p @ X1 )
= $true )
| ( ( p @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f9,plain,
! [X1: $i] :
( ( ( p @ ( f @ ( f @ a ) ) )
!= $true )
| ( ( p @ ( f @ ( f @ X1 ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f13,definition,
( spl0_1
<=> ! [X0: $i] :
( ( p @ X0 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f14,plain,
( ! [X0: $i] :
( ( p @ X0 )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
thf(f15,plain,
( spl0_1
| spl0_1 ),
inference(avatar_split_clause,[],[f6,f13,f13]) ).
thf(f17,definition,
( spl0_2
<=> ( ( p @ ( f @ ( f @ a ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f19,plain,
( ( ( p @ ( f @ ( f @ a ) ) )
!= $true )
| spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
thf(f22,definition,
( spl0_3
<=> ! [X1: $i] :
( ( p @ ( f @ ( f @ X1 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f23,plain,
( ! [X1: $i] :
( ( p @ ( f @ ( f @ X1 ) ) )
!= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f22]) ).
thf(f24,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f9,f17,f22]) ).
thf(f25,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f19,f14]) ).
thf(f26,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f25]) ).
thf(f27,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f23,f14]) ).
thf(f28,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( spl0_1
| spl0_1 ),
inference(sat_conversion,[],[f15]) ).
cnf(s2,plain,
spl0_1,
inference(rat,[],[s1]) ).
cnf(s4,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f24]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f28]) ).
cnf(s7,plain,
~ spl0_3,
inference(rat,[],[s6,s2]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s5,s2]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s4,s7,s8]) ).
thf(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO142^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n002.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 16:37:53 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.08/0.23 % (1513420)Will run a generic schedule for satisfiability detection.
% 0.08/0.23 % (1513431)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3278106819_3000 on theBenchmark for (3000ds/0Mi)
% 0.08/0.23 % Exception at run slice level
% 0.08/0.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.23 % (1513432)% WARNING: option uhcvi not known.
% 0.08/0.23 % (1513434)dis+10_1_sil=32000:sp=arity:random_seed=2639959382:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.08/0.23 % (1513433)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1239499205:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.08/0.23 % (1513436)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=278611384:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.08/0.23 % (1513435)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1989776260:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.08/0.23 % (1513438)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4120437546:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.08/0.23 % (1513435)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.23 % (1513432)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4019290680:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.08/0.23 % (1513434) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1513420-1513434"...
% 0.08/0.23 % (1513436) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1513420-1513436"...
% 0.08/0.23 % (1513432)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.23 % (1513435) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1513420-1513435"...
% 0.08/0.23 % (1513432)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.23 % (1513433) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1513420-1513433"...
% 0.08/0.23 % (1513438) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1513420-1513438"...
% 0.08/0.23 % (1513447)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3236777334:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/0.23 % (1513432) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1513420-1513432"...
% 0.08/0.23 % Exception at run slice level
% 0.08/0.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.23 % (1513434)...printing done.
% 0.08/0.23 % (1513435)...printing done.
% 0.08/0.23 % (1513436)...printing done.
% 0.08/0.23 % (1513433)...printing done.
% 0.08/0.23 % (1513438)...printing done.
% 0.08/0.23 % (1513434)Refutation found. Thanks to Tanya!
% 0.08/0.23 % SZS status Theorem for theBenchmark
% 0.08/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (1513434)------------------------------
% 0.08/0.24 % (1513434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (1513434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (1513434)CaDiCaL version: 2.1.3
% 0.08/0.24 % (1513434)Termination reason: Refutation
% 0.08/0.24 % (1513434)Time elapsed: 0.002 s
% 0.08/0.24 % (1513434)Peak memory usage: 12 MB
% 0.08/0.24 % (1513434)Instructions burned: 1 (million)
% 0.08/0.24 % (1513420)Success in time 0.025 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------