%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO370^5 : 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 : n010.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 08:47:32 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 17 unt; 0 typ; 7 def)
% Number of atoms : 167 ( 31 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 116 ( 48 ~; 24 |; 1 &; 34 @)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 16 ( 13 usr; 9 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 0 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cA: $i > $o ).
thf(func_def_1,type,
cP: ( $i > $o ) > $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(func_def_8,type,
sF0: $o ).
thf(func_def_9,type,
sF1: $o ).
thf(f1,conjecture,
( ( cP @ cA )
=> ( cP
@ ^ [X0: $i] :
~ ~ ( cA @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIVEXT3) ).
thf(f2,negated_conjecture,
~ ( ( cP @ cA )
=> ( cP
@ ^ [X0: $i] :
~ ~ ( cA @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( cP @ cA )
=> ( cP
@ ^ [X0: $i] :
~ ~ ( cA @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( cP @ cA )
= $true )
=> ( ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( cP @ cA )
= $true )
& ( ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) )
!= $true ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) )
!= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
( ( cP @ cA )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f10,definition,
( sF0
= ( cP @ cA ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f11,plain,
( ( cP @ cA )
= sF0 ),
inference(reorient_equations,[],[f10]) ).
thf(f12,plain,
sF0 = $true,
inference(definition_folding,[],[f7,f11]) ).
thf(f13,definition,
( sF1
= ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f14,plain,
( ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) )
= sF1 ),
inference(reorient_equations,[],[f13]) ).
thf(f15,plain,
sF1 != $true,
inference(definition_folding,[],[f6,f14]) ).
thf(f17,plain,
( ( sF1 = $true )
| ( $false
= ( cP
@ ^ [Y0: $i] :
~ ~ ( cA @ Y0 ) ) ) ),
inference(iff_proxy_clausification,[],[f14]) ).
thf(f18,plain,
( ( sF1 = $true )
| ( $false
= ( cP
@ ^ [Y0: $i] : ( cA @ Y0 ) ) ) ),
inference(boolean_simplification,[],[f17]) ).
thf(f19,plain,
( ( sF1 = $true )
| ( ( cP @ cA )
= $false ) ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f22,plain,
( ( $false = sF0 )
| ( ( cP @ cA )
= $true ) ),
inference(iff_proxy_clausification,[],[f11]) ).
thf(f25,definition,
( spl2_1
<=> ( sF1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f29,definition,
( spl2_2
<=> ( ( cP @ cA )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f31,plain,
( ( ( cP @ cA )
= $false )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f29]) ).
thf(f32,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f19,f29,f25]) ).
thf(f34,definition,
( spl2_3
<=> ( ( cP @ cA )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f36,plain,
( ( ( cP @ cA )
= $true )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f43,definition,
( spl2_5
<=> ( sF0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f45,plain,
( ( sF0 = $true )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f43]) ).
thf(f48,definition,
( spl2_6
<=> ( $false = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f50,plain,
( ( $false = sF0 )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f51,plain,
( spl2_3
| spl2_6 ),
inference(avatar_split_clause,[],[f22,f48,f34]) ).
thf(f52,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f15,f25]) ).
thf(f53,plain,
spl2_5,
inference(avatar_split_clause,[],[f12,f43]) ).
thf(f55,plain,
( ( $false = $true )
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f50,f45]) ).
thf(f56,plain,
( $false
| ~ spl2_5
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f57,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f56]) ).
thf(f72,plain,
( ( $false = $true )
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_demodulation,[],[f36,f31]) ).
thf(f73,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f74,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f73]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s4,plain,
( spl2_3
| spl2_6 ),
inference(sat_conversion,[],[f51]) ).
cnf(s5,plain,
~ spl2_1,
inference(sat_conversion,[],[f52]) ).
cnf(s6,plain,
spl2_5,
inference(sat_conversion,[],[f53]) ).
cnf(s7,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(sat_conversion,[],[f57]) ).
cnf(s8,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f74]) ).
cnf(s9,plain,
~ spl2_6,
inference(rat,[],[s7,s6]) ).
cnf(s10,plain,
spl2_3,
inference(rat,[],[s4,s9]) ).
cnf(s11,plain,
~ spl2_2,
inference(rat,[],[s8,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s11,s5]) ).
thf(f75,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO370^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:49:48 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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
% 0.21/0.28 % (3124540)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (3124551)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.28 % (3124551)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
% 0.21/0.28 % (3124551)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=3417735238:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.28 % (3124551) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3124540-3124551"...
% 0.21/0.28 % (3124551)...printing done.
% 0.21/0.28 % (3124551)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (3124551)------------------------------
% 0.21/0.28 % (3124551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3124551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3124551)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3124551)Termination reason: Refutation
% 0.21/0.28 % (3124551)Time elapsed: 0.002 s
% 0.21/0.28 % (3124551)Peak memory usage: 13 MB
% 0.21/0.28 % (3124551)Instructions burned: 2 (million)
% 0.21/0.28 % (3124540)Success in time 0.034 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------