%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO289^5 : 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 : 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 : Wed Sep 30 08:49:40 AM UTC 2026
% Result : Theorem 0.29s 0.32s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 36 ( 6 ~; 0 |; 3 &; 23 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 28 ( 1 ^; 19 !; 8 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
sK0: $i > $i > $o ).
thf(func_def_5,type,
vNOT: $o > $o ).
thf(func_def_6,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
! [X0: $i > $i > $o,X1: $i] :
( ! [X2: $i > $o] : ( X2 @ X1 )
=> ? [X3: $i] : ( X0 @ X3 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIV2) ).
thf(f2,negated_conjecture,
~ ! [X0: $i > $i > $o,X1: $i] :
( ! [X2: $i > $o] : ( X2 @ X1 )
=> ? [X3: $i] : ( X0 @ X3 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $i > $i > $o,X1: $i] :
( ! [X2: $i > $o] : ( X2 @ X1 )
=> ? [X3: $i] : ( X0 @ X3 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: $i > $i > $o,X1: $i] :
( ! [X2: $i > $o] :
( ( X2 @ X1 )
= $true )
=> ? [X3: $i] :
( ( X0 @ X3 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: $i > $i > $o,X1: $i] :
( ! [X3: $i] :
( ( X0 @ X3 @ X1 )
!= $true )
& ! [X2: $i > $o] :
( ( X2 @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: $i > $i > $o,X1: $i] :
( ! [X2: $i] :
( $true
!= ( X0 @ X2 @ X1 ) )
& ! [X3: $i > $o] :
( $true
= ( X3 @ X1 ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X2: $i] :
( $true
!= ( sK0 @ X2 @ sK1 ) )
& ! [X3: $i > $o] :
( $true
= ( X3 @ sK1 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6]) ).
thf(f8,plain,
! [X3: $i > $o] :
( $true
= ( X3 @ sK1 ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f13,plain,
( $true
= ( ^ [Y0: $i] : $false
@ sK1 ) ),
inference(primitive_instantiation,[],[f8]) ).
thf(f17,plain,
$true = $false,
inference(beta-eta_normalization,[],[f13]) ).
thf(f18,plain,
$false,
inference(trivial_inequality_removal,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO289^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n017.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 16:38:37 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.28 Running first-order model finding
% 0.10/0.29 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
% 0.29/0.32 % (575291)Will run a generic schedule for satisfiability detection.
% 0.29/0.32 % (575297)% WARNING: option uhcvi not known.
% 0.29/0.32 % (575297)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=540416626:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.29/0.32 % (575297)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.29/0.32 % (575297)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.29/0.32 % (575297) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-575291-575297"...
% 0.29/0.32 % (575296)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2040909396_2999 on theBenchmark for (2999ds/0Mi)
% 0.29/0.32 % (575297)...printing done.
% 0.29/0.32 % Exception at run slice level
% 0.29/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.29/0.32 % (575297)Refutation found. Thanks to Tanya!
% 0.29/0.32 % SZS status Theorem for theBenchmark
% 0.29/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.32 % (575297)------------------------------
% 0.29/0.32 % (575297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.32 % (575297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.32 % (575297)CaDiCaL version: 2.1.3
% 0.29/0.32 % (575297)Termination reason: Refutation
% 0.29/0.32 % (575297)Time elapsed: 0.001 s
% 0.29/0.32 % (575297)Peak memory usage: 12 MB
% 0.29/0.32 % (575297)Instructions burned: 1 (million)
% 0.29/0.32 % (575291)Success in time 0.024 s
% 0.29/0.33 % Vampire exiting
%------------------------------------------------------------------------------