TSTP Solution File: SEV052^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV052^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:01:38 EDT 2024
% Result : Theorem 0.12s 0.39s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 457 ( 193 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 372 ( 51 ~; 55 |; 27 &; 230 @)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 226 ( 226 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 253 ( 202 ^ 30 !; 21 ?; 253 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_4,type,
sK0: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_5,type,
sK1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_6,type,
sK2: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_7,type,
sK3: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_9,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f110,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f79,f109]) ).
thf(f109,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_contradiction_clause,[],[f108]) ).
thf(f108,plain,
( $false
| ~ spl4_1
| spl4_2 ),
inference(subsumption_resolution,[],[f107,f80]) ).
thf(f80,plain,
( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
!= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| spl4_2 ),
inference(subsumption_resolution,[],[f67,f47]) ).
thf(f47,plain,
( ( ( ^ [Y0: $i] : $true )
!= ( ^ [Y0: $i] : $false ) )
| spl4_2 ),
inference(avatar_component_clause,[],[f46]) ).
thf(f46,plain,
( spl4_2
<=> ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
thf(f67,plain,
( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
!= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) ) ),
inference(equality_proxy_clausification,[],[f66]) ).
thf(f66,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(equality_proxy_clausification,[],[f65]) ).
thf(f65,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f64,plain,
( ( $true != $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(boolean_simplification,[],[f63]) ).
thf(f63,plain,
( ( ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
( ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(primitive_instantiation,[],[f14]) ).
thf(f14,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
| ( ( X0 @ ( sK0 @ X0 ) @ ( sK2 @ X0 ) )
!= $true )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
& ( ( X0 @ ( sK0 @ X0 ) @ ( sK2 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
= $true ) )
| ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f11,f10]) ).
thf(f10,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( X0 @ X2 @ X3 )
= $true )
& ( ( X0 @ X1 @ X3 )
!= $true )
& ( ( X0 @ X1 @ X2 )
= $true ) )
=> ( ( ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
& ( ( X0 @ ( sK0 @ X0 ) @ ( sK2 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X4: $i > $o] :
( $true
!= ( X0 @ X4 @ X4 ) )
=> ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( X0 @ X2 @ X3 )
= $true )
& ( ( X0 @ X1 @ X3 )
!= $true )
& ( ( X0 @ X1 @ X2 )
= $true ) )
| ? [X4: $i > $o] :
( $true
!= ( X0 @ X4 @ X4 ) )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X2: $i > $o,X1: $i > $o,X3: $i > $o] :
( ( ( X0 @ X1 @ X3 )
= $true )
& ( ( X0 @ X2 @ X3 )
!= $true )
& ( ( X0 @ X2 @ X1 )
= $true ) )
| ? [X4: $i > $o] :
( $true
!= ( X0 @ X4 @ X4 ) )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X4: $i > $o] :
( $true
!= ( X0 @ X4 @ X4 ) )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ? [X1: $i > $o,X3: $i > $o,X2: $i > $o] :
( ( ( X0 @ X2 @ X3 )
!= $true )
& ( ( X0 @ X2 @ X1 )
= $true )
& ( ( X0 @ X1 @ X3 )
= $true ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X4: $i > $o] :
( $true
= ( X0 @ X4 @ X4 ) )
& ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
!= $true )
& ! [X1: $i > $o,X3: $i > $o,X2: $i > $o] :
( ( ( ( X0 @ X2 @ X1 )
= $true )
& ( ( X0 @ X1 @ X3 )
= $true ) )
=> ( ( X0 @ X2 @ X3 )
= $true ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o,X3: $i > $o,X2: $i > $o] :
( ( ( ( X0 @ X2 @ X1 )
= $true )
& ( ( X0 @ X1 @ X3 )
= $true ) )
=> ( ( X0 @ X2 @ X3 )
= $true ) )
& ! [X4: $i > $o] :
( $true
= ( X0 @ X4 @ X4 ) )
& ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
!= $true ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( X0 @ X2 @ X1 )
& ( X0 @ X1 @ X3 ) )
=> ( X0 @ X2 @ X3 ) )
& ! [X4: $i > $o] : ( X0 @ X4 @ X4 )
& ~ ( X0
@ ^ [X5: $i] : $true
@ ^ [X6: $i] : $false ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X2: $i > $o,X1: $i > $o,X3: $i > $o] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X1: $i] : $true
@ ^ [X1: $i] : $false ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X2: $i > $o,X1: $i > $o,X3: $i > $o] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X1: $i] : $true
@ ^ [X1: $i] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120B_pme) ).
thf(f107,plain,
( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ~ spl4_1
| spl4_2 ),
inference(forward_demodulation,[],[f106,f44]) ).
thf(f44,plain,
( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f42]) ).
thf(f42,plain,
( spl4_1
<=> ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
thf(f106,plain,
( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| spl4_2 ),
inference(subsumption_resolution,[],[f90,f47]) ).
thf(f90,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f89]) ).
thf(f89,plain,
( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f88]) ).
thf(f88,plain,
( ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f87,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( $true != $true )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(boolean_simplification,[],[f86]) ).
thf(f86,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f81]) ).
thf(f81,plain,
( ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(primitive_instantiation,[],[f15]) ).
thf(f15,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
| ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f79,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f78]) ).
thf(f78,plain,
( $false
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f77,plain,
( ( $true = $false )
| ~ spl4_2 ),
inference(beta_eta_normalization,[],[f76]) ).
thf(f76,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $false
@ X1 )
= ( ^ [Y0: $i] : $true
@ X1 ) )
| ~ spl4_2 ),
inference(argument_congruence,[],[f48]) ).
thf(f48,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f46]) ).
thf(f49,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f32,f46,f42]) ).
thf(f32,plain,
( ( ( ^ [Y0: $i] : $true )
= ( ^ [Y0: $i] : $false ) )
| ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f30]) ).
thf(f30,plain,
( ( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f29]) ).
thf(f29,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true != $true ) ),
inference(boolean_simplification,[],[f28]) ).
thf(f28,plain,
( ( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
= $true )
| ( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f16]) ).
thf(f16,plain,
( ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(primitive_instantiation,[],[f13]) ).
thf(f13,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0 @ ( sK0 @ X0 ) @ ( sK1 @ X0 ) )
= $true )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ( ( X0 @ ( sK3 @ X0 ) @ ( sK3 @ X0 ) )
!= $true ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEV052^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 19:34:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.35 Running higher-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (7679)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.38 % (7678)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (7682)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (7681)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (7680)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.12/0.38 % (7683)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.38 % (7684)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (7681)Instruction limit reached!
% 0.12/0.38 % (7681)------------------------------
% 0.12/0.38 % (7681)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (7681)Termination reason: Unknown
% 0.12/0.38 % (7681)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (7681)Memory used [KB]: 5373
% 0.12/0.38 % (7681)Time elapsed: 0.004 s
% 0.12/0.38 % (7681)Instructions burned: 2 (million)
% 0.12/0.38 % (7681)------------------------------
% 0.12/0.38 % (7681)------------------------------
% 0.12/0.38 % (7682)Instruction limit reached!
% 0.12/0.38 % (7682)------------------------------
% 0.12/0.38 % (7682)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (7682)Termination reason: Unknown
% 0.12/0.38 % (7682)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (7682)Memory used [KB]: 5500
% 0.12/0.38 % (7682)Time elapsed: 0.004 s
% 0.12/0.38 % (7682)Instructions burned: 2 (million)
% 0.12/0.38 % (7682)------------------------------
% 0.12/0.38 % (7682)------------------------------
% 0.12/0.38 % (7680)Refutation not found, incomplete strategy
% 0.12/0.38 % (7680)------------------------------
% 0.12/0.38 % (7680)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (7680)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (7680)Memory used [KB]: 5500
% 0.12/0.38 % (7680)Time elapsed: 0.005 s
% 0.12/0.38 % (7680)Instructions burned: 1 (million)
% 0.12/0.38 % (7680)------------------------------
% 0.12/0.38 % (7680)------------------------------
% 0.12/0.38 % (7679)Instruction limit reached!
% 0.12/0.38 % (7679)------------------------------
% 0.12/0.38 % (7679)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (7679)Termination reason: Unknown
% 0.12/0.38 % (7679)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (7679)Memory used [KB]: 5500
% 0.12/0.38 % (7679)Time elapsed: 0.006 s
% 0.12/0.38 % (7679)Instructions burned: 4 (million)
% 0.12/0.38 % (7679)------------------------------
% 0.12/0.38 % (7679)------------------------------
% 0.12/0.38 % (7683)First to succeed.
% 0.12/0.39 % (7683)Refutation found. Thanks to Tanya!
% 0.12/0.39 % SZS status Theorem for theBenchmark
% 0.12/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.39 % (7683)------------------------------
% 0.12/0.39 % (7683)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (7683)Termination reason: Refutation
% 0.12/0.39
% 0.12/0.39 % (7683)Memory used [KB]: 5500
% 0.12/0.39 % (7683)Time elapsed: 0.011 s
% 0.12/0.39 % (7683)Instructions burned: 9 (million)
% 0.12/0.39 % (7683)------------------------------
% 0.12/0.39 % (7683)------------------------------
% 0.12/0.39 % (7677)Success in time 0.024 s
%------------------------------------------------------------------------------