%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO290^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 11 unt; 0 typ; 2 def)
% Number of atoms : 49 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 66 ( 14 ~; 5 |; 1 &; 45 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn 0 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
g2: a > a ).
thf(func_def_1,type,
g1: a > a ).
thf(func_def_2,type,
p: ( a > a ) > $o ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_8,type,
sF0: $o ).
thf(f1,conjecture,
( ~ ( p
@ ^ [X0: a] : ( g1 @ ( g2 @ X0 ) ) )
| ( p
@ ^ [X1: a] : ( g1 @ ( g2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRANS_BUG_EX2) ).
thf(f2,negated_conjecture,
~ ( ~ ( p
@ ^ [X0: a] : ( g1 @ ( g2 @ X0 ) ) )
| ( p
@ ^ [X1: a] : ( g1 @ ( g2 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ~ ( p
@ ^ [X0: a] : ( g1 @ ( g2 @ X0 ) ) )
| ( p
@ ^ [X1: a] : ( g1 @ ( g2 @ X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
!= $true )
| ( ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ( ( ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
= $true )
| ( ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
!= $true ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ( ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
= $true )
& ( ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
!= $true ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
( ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,definition,
( sF0
= ( p
@ ^ [Y0: a] : ( g1 @ ( g2 @ Y0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f12,plain,
sF0 = $true,
inference(definition_folding,[],[f8,f11]) ).
thf(f13,plain,
sF0 != $true,
inference(definition_folding,[],[f7,f11]) ).
thf(f26,definition,
( spl1_3
<=> ( sF0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
thf(f34,plain,
spl1_3,
inference(avatar_split_clause,[],[f12,f26]) ).
thf(f35,plain,
~ spl1_3,
inference(avatar_split_clause,[],[f13,f26]) ).
cnf(s3,plain,
spl1_3,
inference(sat_conversion,[],[f34]) ).
cnf(s4,plain,
~ spl1_3,
inference(sat_conversion,[],[f35]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s3,s4]) ).
thf(f36,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO290^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:43:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27 % (2909026)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.27 % (2909037)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.27 % (2909037)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.27 % (2909037)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3299722195:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.27 % (2909037) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2909026-2909037"...
% 0.20/0.27 % (2909037)...printing done.
% 0.20/0.27 % (2909037)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (2909037)------------------------------
% 0.20/0.27 % (2909037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2909037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2909037)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2909037)Termination reason: Refutation
% 0.20/0.27 % (2909037)Time elapsed: 0.001 s
% 0.20/0.27 % (2909037)Peak memory usage: 12 MB
% 0.20/0.27 % (2909037)Instructions burned: 1 (million)
% 0.20/0.27 % (2909026)Success in time 0.029 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------