%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO286^5 : 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 : n004.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 08:49:40 AM UTC 2026
% Result : Theorem 0.25s 0.33s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 49 ( 7 ~; 0 |; 8 &; 26 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 17 ( 1 ^; 9 !; 7 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cQ: $i > $o ).
thf(func_def_2,type,
cR: $i > $o ).
thf(func_def_7,type,
vNOT: $o > $o ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
( ! [X0: $i > $o] : ( X0 @ y )
=> ( ? [X1: $i] : ( cR @ X1 )
=> ( cQ @ y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTEST1) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i > $o] : ( X0 @ y )
=> ( ? [X1: $i] : ( cR @ X1 )
=> ( cQ @ y ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ! [X0: $i > $o] : ( X0 @ y )
=> ( ? [X1: $i] : ( cR @ X1 )
=> ( cQ @ y ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ! [X0: $i > $o] :
( ( X0 @ y )
= $true )
=> ( ? [X1: $i] :
( ( cR @ X1 )
= $true )
=> ( ( cQ @ y )
= $true ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( cQ @ y )
!= $true )
& ? [X1: $i] :
( ( cR @ X1 )
= $true )
& ! [X0: $i > $o] :
( ( X0 @ y )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( cQ @ y )
!= $true )
& ? [X1: $i] :
( ( cR @ X1 )
= $true )
& ! [X0: $i > $o] :
( ( X0 @ y )
= $true ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
( ( ( cQ @ y )
!= $true )
& ? [X0: $i] :
( $true
= ( cR @ X0 ) )
& ! [X1: $i > $o] :
( $true
= ( X1 @ y ) ) ),
inference(rectify,[],[f6]) ).
thf(f8,plain,
( ( ( cQ @ y )
!= $true )
& ( $true
= ( cR @ sK0 ) )
& ! [X1: $i > $o] :
( $true
= ( X1 @ y ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f7]) ).
thf(f9,plain,
! [X1: $i > $o] :
( $true
= ( X1 @ y ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f15,plain,
( $true
= ( ^ [Y0: $i] : $false
@ y ) ),
inference(primitive_instantiation,[],[f9]) ).
thf(f19,plain,
$true = $false,
inference(beta-eta_normalization,[],[f15]) ).
thf(f20,plain,
$false,
inference(trivial_inequality_removal,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO286^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n004.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 16:43:07 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.28 Running first-order model finding
% 0.09/0.28 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
% 0.25/0.33 % (1540474)Will run a generic schedule for satisfiability detection.
% 0.25/0.33 % (1540479)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3968446617_3000 on theBenchmark for (3000ds/0Mi)
% 0.25/0.33 % Exception at run slice level
% 0.25/0.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.25/0.33 % (1540480)% WARNING: option uhcvi not known.
% 0.25/0.33 % (1540482)dis+10_1_sil=32000:sp=arity:random_seed=1031577146:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.25/0.33 % (1540481)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=160091067:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.25/0.33 % (1540480)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3601424298:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.33 % (1540483)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3579129616:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.33 % (1540484)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2137641493:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.25/0.33 % (1540480)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.25/0.33 % (1540483)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.25/0.33 % (1540480)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.25/0.33 % (1540482) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1540474-1540482"...
% 0.25/0.33 % (1540483) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1540474-1540483"...
% 0.25/0.33 % (1540480) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1540474-1540480"...
% 0.25/0.33 % (1540484) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1540474-1540484"...
% 0.25/0.33 % (1540481) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1540474-1540481"...
% 0.25/0.33 % (1540485)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1623818603:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.25/0.33 % (1540482)...printing done.
% 0.25/0.33 % (1540483)...printing done.
% 0.25/0.33 % (1540484)...printing done.
% 0.25/0.33 % (1540480)...printing done.
% 0.25/0.33 % (1540481)...printing done.
% 0.25/0.33 % (1540485) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1540474-1540485"...
% 0.25/0.33 % (1540482)Refutation found. Thanks to Tanya!
% 0.25/0.33 % SZS status Theorem for theBenchmark
% 0.25/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.33 % (1540482)------------------------------
% 0.25/0.33 % (1540482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.33 % (1540482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.33 % (1540482)CaDiCaL version: 2.1.3
% 0.25/0.33 % (1540482)Termination reason: Refutation
% 0.25/0.33 % (1540482)Time elapsed: 0.002 s
% 0.25/0.33 % (1540482)Peak memory usage: 12 MB
% 0.25/0.33 % (1540482)Instructions burned: 1 (million)
% 0.25/0.33 % (1540474)Success in time 0.037 s
% 0.25/0.33 % Vampire exiting
%------------------------------------------------------------------------------