%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO289^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:47:22 AM UTC 2026
% Result : Theorem 0.27s 0.34s
% Output : Refutation 0.27s
% 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,
! [X1: $i,X0: $i > $i > $o] :
( ! [X2: $i > $o] : ( X2 @ X1 )
=> ? [X3: $i] : ( X0 @ X3 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIV2) ).
thf(f2,negated_conjecture,
~ ! [X1: $i,X0: $i > $i > $o] :
( ! [X2: $i > $o] : ( X2 @ X1 )
=> ? [X3: $i] : ( X0 @ X3 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: $i,X1: $i > $i > $o] :
( ! [X2: $i > $o] : ( X2 @ X0 )
=> ? [X3: $i] : ( X1 @ X3 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X1: $i > $i > $o,X0: $i] :
( ! [X2: $i > $o] :
( ( X2 @ X0 )
= $true )
=> ? [X3: $i] :
( ( X1 @ X3 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X1: $i > $i > $o,X0: $i] :
( ! [X2: $i > $o] :
( ( X2 @ X0 )
= $true )
& ! [X3: $i] :
( ( X1 @ X3 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: $i > $i > $o,X1: $i] :
( ! [X2: $i > $o] :
( ( X2 @ X1 )
= $true )
& ! [X3: $i] :
( ( X0 @ X3 @ X1 )
!= $true ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ! [X2: $i > $o] :
( ( X2 @ sK1 )
= $true )
& ! [X3: $i] :
( ( sK0 @ X3 @ sK1 )
!= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6]) ).
thf(f9,plain,
! [X2: $i > $o] :
( ( X2 @ sK1 )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
( ( ^ [Y0: $i] : $false
@ sK1 )
= $true ),
inference(primitive_instantiation,[],[f9]) ).
thf(f16,plain,
$false = $true,
inference(beta-eta_normalization,[],[f12]) ).
thf(f17,plain,
$false,
inference(trivial_inequality_removal,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO289^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n008.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 16:43:54 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.29 Running higher-order theorem proving
% 0.27/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.34 % (3403350)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.27/0.34 % (3403358)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=278844886:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.27/0.34 % (3403358) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3403350-3403358"...
% 0.27/0.34 % (3403358)...printing done.
% 0.27/0.34 % (3403358)Refutation found. Thanks to Tanya!
% 0.27/0.34 % SZS status Theorem for theBenchmark
% 0.27/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.34 % (3403358)------------------------------
% 0.27/0.34 % (3403358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.34 % (3403358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.34 % (3403358)CaDiCaL version: 2.1.3
% 0.27/0.34 % (3403358)Termination reason: Refutation
% 0.27/0.34 % (3403358)Time elapsed: 0.001 s
% 0.27/0.34 % (3403358)Peak memory usage: 12 MB
% 0.27/0.34 % (3403358)Instructions burned: 1 (million)
% 0.27/0.34 % (3403350)Success in time 0.026 s
% 0.27/0.34 % Vampire exiting
%------------------------------------------------------------------------------