%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU854^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 08:34:18 AM UTC 2026
% Result : Theorem 0.10s 0.23s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 86 ( 10 unt; 0 typ; 7 def)
% Number of atoms : 536 ( 151 equ; 0 cnn)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 616 ( 131 ~; 172 |; 55 &; 229 @)
% ( 11 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 11 con; 0-4 aty)
% Number of variables : 96 ( 0 sgn 53 !; 18 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
vOR: $o > $o > $o ).
thf(func_def_4,type,
vAND: $o > $o > $o ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_8,type,
sK0: a > $o ).
thf(func_def_9,type,
sK1: a > $o ).
thf(func_def_10,type,
sK2: a > $o ).
thf(func_def_11,type,
sK3: a ).
thf(func_def_13,type,
sK5: a ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
& ! [X3: a] :
( ( X0 @ X3 )
=> ( X2 @ X3 ) ) )
=> ( ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) )
<=> ( ( ^ [X4: a] :
( ( X1 @ X4 )
| ( ~ ( X0 @ X4 )
& ( X2 @ X4 ) ) ) )
= X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cGAZING_THM34_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
& ! [X3: a] :
( ( X0 @ X3 )
=> ( X2 @ X3 ) ) )
=> ( ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) )
<=> ( ( ^ [X4: a] :
( ( X1 @ X4 )
| ( ~ ( X0 @ X4 )
& ( X2 @ X4 ) ) ) )
= X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
& ! [X4: a] :
( ( X0 @ X4 )
=> ( X2 @ X4 ) ) )
=> ( ! [X5: a] :
( ( X0 @ X5 )
=> ( X1 @ X5 ) )
<=> ( ( ^ [X6: a] :
( ( X1 @ X6 )
| ( ~ ( X0 @ X6 )
& ( X2 @ X6 ) ) ) )
= X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( ( X1 @ X3 )
= $true )
=> ( ( X2 @ X3 )
= $true ) )
& ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
=> ( ( X2 @ X4 )
= $true ) ) )
=> ( ! [X5: a] :
( ( ( X0 @ X5 )
= $true )
=> ( ( X1 @ X5 )
= $true ) )
<=> ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
= X2 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X5: a] :
( ( ( X1 @ X5 )
= $true )
| ( ( X0 @ X5 )
!= $true ) )
<~> ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
= X2 ) )
& ! [X3: a] :
( ( ( X2 @ X3 )
= $true )
| ( ( X1 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( ( X2 @ X4 )
= $true )
| ( ( X0 @ X4 )
!= $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X5: a] :
( ( ( X1 @ X5 )
= $true )
| ( ( X0 @ X5 )
!= $true ) )
<~> ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
= X2 ) )
& ! [X3: a] :
( ( ( X2 @ X3 )
= $true )
| ( ( X1 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( ( X2 @ X4 )
= $true )
| ( ( X0 @ X4 )
!= $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
!= X2 )
| ? [X5: a] :
( ( ( X1 @ X5 )
!= $true )
& ( ( X0 @ X5 )
= $true ) ) )
& ( ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
= X2 )
| ! [X5: a] :
( ( ( X1 @ X5 )
= $true )
| ( ( X0 @ X5 )
!= $true ) ) )
& ! [X3: a] :
( ( ( X2 @ X3 )
= $true )
| ( ( X1 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( ( X2 @ X4 )
= $true )
| ( ( X0 @ X4 )
!= $true ) ) ),
inference(nnf_transformation,[],[f6]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
!= X2 )
| ? [X5: a] :
( ( ( X1 @ X5 )
!= $true )
& ( ( X0 @ X5 )
= $true ) ) )
& ( ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
= X2 )
| ! [X5: a] :
( ( ( X1 @ X5 )
= $true )
| ( ( X0 @ X5 )
!= $true ) ) )
& ! [X3: a] :
( ( ( X2 @ X3 )
= $true )
| ( ( X1 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( ( X2 @ X4 )
= $true )
| ( ( X0 @ X4 )
!= $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f9,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
!= X2 )
| ? [X3: a] :
( ( ( X1 @ X3 )
!= $true )
& ( ( X0 @ X3 )
= $true ) ) )
& ( ( ( ^ [Y0: a] :
( ( ( X2 @ Y0 )
& ~ ( X0 @ Y0 ) )
| ( X1 @ Y0 ) ) )
= X2 )
| ! [X4: a] :
( ( ( X1 @ X4 )
= $true )
| ( ( X0 @ X4 )
!= $true ) ) )
& ! [X5: a] :
( ( $true
= ( X2 @ X5 ) )
| ( ( X1 @ X5 )
!= $true ) )
& ! [X6: a] :
( ( ( X2 @ X6 )
= $true )
| ( ( X0 @ X6 )
!= $true ) ) ),
inference(rectify,[],[f8]) ).
thf(f10,plain,
( ( ( sK2
!= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) ) ) )
| ( ( $true
!= ( sK1 @ sK3 ) )
& ( $true
= ( sK0 @ sK3 ) ) ) )
& ( ( sK2
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) ) ) )
| ! [X4: a] :
( ( $true
= ( sK1 @ X4 ) )
| ( $true
!= ( sK0 @ X4 ) ) ) )
& ! [X5: a] :
( ( $true
= ( sK2 @ X5 ) )
| ( $true
!= ( sK1 @ X5 ) ) )
& ! [X6: a] :
( ( $true
= ( sK2 @ X6 ) )
| ( $true
!= ( sK0 @ X6 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f9]) ).
thf(f11,plain,
! [X6: a] :
( ( $true
!= ( sK0 @ X6 ) )
| ( $true
= ( sK2 @ X6 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f12,plain,
! [X5: a] :
( ( $true
!= ( sK1 @ X5 ) )
| ( $true
= ( sK2 @ X5 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f13,plain,
! [X4: a] :
( ( sK2
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) ) ) )
| ( $true
= ( sK1 @ X4 ) )
| ( $true
!= ( sK0 @ X4 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f14,plain,
( ( sK2
!= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) ) ) )
| ( $true
= ( sK0 @ sK3 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f15,plain,
( ( sK2
!= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) ) ) )
| ( $true
!= ( sK1 @ sK3 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f19,definition,
( spl4_1
<=> ! [X4: a] :
( ( $true
= ( sK1 @ X4 ) )
| ( $true
!= ( sK0 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f20,plain,
( ! [X4: a] :
( ( $true
!= ( sK0 @ X4 ) )
| ( $true
= ( sK1 @ X4 ) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f19]) ).
thf(f22,definition,
( spl4_2
<=> ( sK2
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f23,plain,
( ( sK2
!= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) ) ) )
| spl4_2 ),
inference(avatar_component_clause,[],[f22]) ).
thf(f24,plain,
( ( sK2
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) ) ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f22]) ).
thf(f25,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f13,f22,f19]) ).
thf(f27,definition,
( spl4_3
<=> ( $true
= ( sK0 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f29,plain,
( ( $true
= ( sK0 @ sK3 ) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f27]) ).
thf(f30,plain,
( spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f14,f22,f27]) ).
thf(f32,definition,
( spl4_4
<=> ( $true
= ( sK1 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f34,plain,
( ( $true
!= ( sK1 @ sK3 ) )
| spl4_4 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f35,plain,
( ~ spl4_4
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f15,f22,f32]) ).
thf(f36,plain,
( ( $true != $true )
| ( $true
= ( sK2 @ sK3 ) )
| ~ spl4_3 ),
inference(constrained_superposition,[],[f11,f29]) ).
thf(f37,plain,
( ( $true
= ( sK2 @ sK3 ) )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f36]) ).
thf(f38,plain,
( ! [X1: a] :
( ( sK2 @ X1 )
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) )
@ X1 ) )
| ~ spl4_2 ),
inference(argument_congruence,[],[f24]) ).
thf(f40,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) )
@ X1 ) ) )
| ~ spl4_2 ),
inference(iff_proxy_clausification,[],[f38]) ).
thf(f41,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( ( ( sK2 @ X1 )
& ~ ( sK0 @ X1 ) )
| ( sK1 @ X1 ) ) ) )
| ~ spl4_2 ),
inference(beta-eta_normalization,[],[f40]) ).
thf(f42,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( sK1 @ X1 ) )
| ( $true
= ( ( sK2 @ X1 )
& ~ ( sK0 @ X1 ) ) ) )
| ~ spl4_2 ),
inference(or_proxy_clausification,[],[f41]) ).
thf(f43,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( sK1 @ X1 ) )
| ( $true
= ( ~ ( sK0 @ X1 ) ) ) )
| ~ spl4_2 ),
inference(and_proxy_clausification,[],[f42]) ).
thf(f45,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ X1 ) )
| ( $true
= ( sK1 @ X1 ) )
| ( $false
= ( sK0 @ X1 ) ) )
| ~ spl4_2 ),
inference(not_proxy_clausification,[],[f43]) ).
thf(f74,plain,
( ( $true = $false )
| ( $true
= ( sK1 @ sK3 ) )
| ( ( sK0 @ sK3 )
= $false )
| ~ spl4_2
| ~ spl4_3 ),
inference(constrained_superposition,[],[f37,f45]) ).
thf(f80,plain,
( ( $true
= ( sK1 @ sK3 ) )
| ( ( sK0 @ sK3 )
= $false )
| ~ spl4_2
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f74]) ).
thf(f86,plain,
( ( ( sK0 @ sK3 )
= $false )
| ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f80,f34]) ).
thf(f89,plain,
( ( $true = $false )
| ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(constrained_superposition,[],[f86,f29]) ).
thf(f94,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f95,plain,
( ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f94]) ).
thf(f108,plain,
( ( ( sK2 @ sK5 )
!= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) )
@ sK5 ) )
| spl4_2 ),
inference(negative_extensionality,[],[f23]) ).
thf(f109,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) )
@ sK5 ) )
| spl4_2 ),
inference(xor_proxy_clausification,[],[f108]) ).
thf(f110,plain,
( ( $false
= ( sK2 @ sK5 ) )
| ( $false
= ( ^ [Y0: a] :
( ( ( sK2 @ Y0 )
& ~ ( sK0 @ Y0 ) )
| ( sK1 @ Y0 ) )
@ sK5 ) )
| spl4_2 ),
inference(xor_proxy_clausification,[],[f108]) ).
thf(f111,plain,
( ( $false
= ( sK2 @ sK5 ) )
| ( $false
= ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( sK1 @ sK5 ) ) )
| spl4_2 ),
inference(beta-eta_normalization,[],[f110]) ).
thf(f112,plain,
( ( $false
= ( sK2 @ sK5 ) )
| ( $false
= ( sK1 @ sK5 ) )
| spl4_2 ),
inference(or_proxy_clausification,[],[f111]) ).
thf(f113,plain,
( ( $false
= ( sK2 @ sK5 ) )
| ( $false
= ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) ) )
| spl4_2 ),
inference(or_proxy_clausification,[],[f111]) ).
thf(f114,plain,
( ( $false
= ( sK2 @ sK5 ) )
| ( $false
= ( ~ ( sK0 @ sK5 ) ) )
| ( $false
= ( sK2 @ sK5 ) )
| spl4_2 ),
inference(and_proxy_clausification,[],[f113]) ).
thf(f115,plain,
( ( $false
= ( sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK5 ) )
| ( $false
= ( sK2 @ sK5 ) )
| spl4_2 ),
inference(not_proxy_clausification,[],[f114]) ).
thf(f116,plain,
( ( $false
= ( sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK5 ) )
| spl4_2 ),
inference(duplicate_literal_removal,[],[f115]) ).
thf(f117,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) )
| ( sK1 @ sK5 ) ) )
| spl4_2 ),
inference(beta-eta_normalization,[],[f109]) ).
thf(f118,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( ( sK2 @ sK5 )
& ~ ( sK0 @ sK5 ) ) )
| spl4_2 ),
inference(or_proxy_clausification,[],[f117]) ).
thf(f120,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( sK2 @ sK5 ) )
| spl4_2 ),
inference(and_proxy_clausification,[],[f118]) ).
thf(f121,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( sK1 @ sK5 ) )
| spl4_2 ),
inference(duplicate_literal_removal,[],[f120]) ).
thf(f124,definition,
( spl4_5
<=> ( $true
= ( sK0 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f126,plain,
( ( $true
= ( sK0 @ sK5 ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f128,definition,
( spl4_6
<=> ( $false
= ( sK2 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
thf(f130,plain,
( ( $false
= ( sK2 @ sK5 ) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f128]) ).
thf(f131,plain,
( spl4_5
| spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f116,f22,f128,f124]) ).
thf(f133,definition,
( spl4_7
<=> ( $false
= ( sK1 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
thf(f135,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f133]) ).
thf(f136,plain,
( spl4_7
| spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f112,f22,f128,f133]) ).
thf(f137,plain,
( ( $true
= ( sK2 @ sK5 ) )
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f121,f12]) ).
thf(f156,plain,
( ( $true = $false )
| spl4_2
| ~ spl4_6 ),
inference(forward_demodulation,[],[f137,f130]) ).
thf(f157,plain,
( $false
| spl4_2
| ~ spl4_6 ),
inference(trivial_inequality_removal,[],[f156]) ).
thf(f158,plain,
( spl4_2
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f157]) ).
thf(f159,plain,
( ( $true != $true )
| ( $true
= ( sK1 @ sK5 ) )
| ~ spl4_1
| ~ spl4_5 ),
inference(constrained_superposition,[],[f20,f126]) ).
thf(f162,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ~ spl4_1
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f159]) ).
thf(f163,plain,
( ( $true = $false )
| ~ spl4_1
| ~ spl4_5
| ~ spl4_7 ),
inference(forward_demodulation,[],[f162,f135]) ).
thf(f164,plain,
( $false
| ~ spl4_1
| ~ spl4_5
| ~ spl4_7 ),
inference(trivial_inequality_removal,[],[f163]) ).
thf(f165,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f164]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f25]) ).
cnf(s2,plain,
( ~ spl4_2
| spl4_3 ),
inference(sat_conversion,[],[f30]) ).
cnf(s3,plain,
( ~ spl4_2
| ~ spl4_4 ),
inference(sat_conversion,[],[f35]) ).
cnf(s5,plain,
( ~ spl4_2
| ~ spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f95]) ).
cnf(s8,plain,
( spl4_2
| spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f131]) ).
cnf(s9,plain,
( spl4_2
| spl4_6
| spl4_7 ),
inference(sat_conversion,[],[f136]) ).
cnf(s12,plain,
( spl4_2
| ~ spl4_6 ),
inference(sat_conversion,[],[f158]) ).
cnf(s13,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_7 ),
inference(sat_conversion,[],[f165]) ).
cnf(s14,plain,
~ spl4_2,
inference(rat,[],[s5,s2,s3]) ).
cnf(s15,plain,
~ spl4_6,
inference(rat,[],[s12,s14]) ).
cnf(s16,plain,
spl4_7,
inference(rat,[],[s9,s15,s14]) ).
cnf(s17,plain,
spl4_1,
inference(rat,[],[s1,s14]) ).
cnf(s18,plain,
spl4_5,
inference(rat,[],[s8,s14,s15]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s13,s16,s17,s18]) ).
thf(f166,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU854^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n014.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 14:40:01 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.23 % (2753813)Will run a generic schedule for satisfiability detection.
% 0.10/0.23 % (2753820)% WARNING: option uhcvi not known.
% 0.10/0.23 % (2753823)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3317321881:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.10/0.23 % (2753822)dis+10_1_sil=32000:sp=arity:random_seed=630434065:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.10/0.23 % (2753819)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3660433803_3000 on theBenchmark for (3000ds/0Mi)
% 0.10/0.23 % (2753824)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4229911532:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.10/0.23 % (2753820)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2426743844:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.10/0.23 % (2753821)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3350565569:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.10/0.23 % (2753823)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.10/0.23 % (2753825)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=509607640:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.10/0.23 % (2753820)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.10/0.23 % Exception at run slice level
% 0.10/0.23 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.10/0.23 % (2753820)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.10/0.23 % (2753823) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2753813-2753823"...
% 0.10/0.23 % (2753822) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2753813-2753822"...
% 0.10/0.23 % (2753824) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2753813-2753824"...
% 0.10/0.23 % (2753820) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2753813-2753820"...
% 0.10/0.23 % (2753825) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2753813-2753825"...
% 0.10/0.23 % (2753822)...printing done.
% 0.10/0.23 % (2753823)...printing done.
% 0.10/0.23 % (2753824)...printing done.
% 0.10/0.23 % (2753820)...printing done.
% 0.10/0.23 % (2753825)...printing done.
% 0.10/0.23 % (2753822)Refutation found. Thanks to Tanya!
% 0.10/0.23 % SZS status Theorem for theBenchmark
% 0.10/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.23 % (2753822)------------------------------
% 0.10/0.23 % (2753822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.23 % (2753822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.23 % (2753822)CaDiCaL version: 2.1.3
% 0.10/0.23 % (2753822)Termination reason: Refutation
% 0.10/0.23 % (2753822)Time elapsed: 0.006 s
% 0.10/0.23 % (2753822)Peak memory usage: 12 MB
% 0.10/0.23 % (2753822)Instructions burned: 9 (million)
% 0.10/0.23 % (2753813)Success in time 0.028 s
% 0.10/0.23 % Vampire exiting
%------------------------------------------------------------------------------