TSTP Solution File: SEV083^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV083^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.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 16:01:44 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 474 ( 195 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 401 ( 58 ~; 57 |; 36 &; 238 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 230 ( 230 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 256 ( 200 ^ 37 !; 19 ?; 256 :)
% 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(f129,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f80,f124,f128]) ).
thf(f128,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f127]) ).
thf(f127,plain,
( $false
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f126]) ).
thf(f126,plain,
( ( $false = $true )
| ~ spl4_1 ),
inference(beta_eta_normalization,[],[f125]) ).
thf(f125,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $false
@ X1 )
= ( ^ [Y0: $i] : $true
@ X1 ) )
| ~ spl4_1 ),
inference(argument_congruence,[],[f45]) ).
thf(f45,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f43]) ).
thf(f43,plain,
( spl4_1
<=> ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
thf(f124,plain,
( spl4_1
| ~ spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f123,f77,f47,f43]) ).
thf(f47,plain,
( spl4_2
<=> ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
thf(f77,plain,
( spl4_3
<=> ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
thf(f123,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ~ spl4_2
| spl4_3 ),
inference(subsumption_resolution,[],[f101,f79]) ).
thf(f79,plain,
( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
!= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| spl4_3 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f101,plain,
( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ~ spl4_2 ),
inference(equality_proxy_clausification,[],[f100]) ).
thf(f100,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ~ spl4_2 ),
inference(equality_proxy_clausification,[],[f99]) ).
thf(f99,plain,
( ( $true
= ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ~ spl4_2 ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f98,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true
= ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( $true != $true )
| ~ spl4_2 ),
inference(boolean_simplification,[],[f97]) ).
thf(f97,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true
= ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( $true
!= ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ~ spl4_2 ),
inference(beta_eta_normalization,[],[f92]) ).
thf(f92,plain,
( ( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK2
@ ^ [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 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ~ spl4_2 ),
inference(superposition,[],[f16,f49]) ).
thf(f49,plain,
( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f47]) ).
thf(f16,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0 @ ( sK3 @ X0 ) @ ( sK1 @ X0 ) )
= $true )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( ( ( X0 @ ( sK3 @ X0 ) @ ( sK1 @ X0 ) )
= $true )
& ( ( X0 @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
& ( $true
= ( X0 @ ( sK2 @ X0 ) @ ( sK3 @ X0 ) ) ) )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f10,f12,f11]) ).
thf(f11,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
!= $true )
=> ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X2: $i > $o,X3: $i > $o,X4: $i > $o] :
( ( ( X0 @ X4 @ X2 )
= $true )
& ( ( X0 @ X3 @ X2 )
!= $true )
& ( $true
= ( X0 @ X3 @ X4 ) ) )
=> ( ( ( X0 @ ( sK3 @ X0 ) @ ( sK1 @ X0 ) )
= $true )
& ( ( X0 @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
& ( $true
= ( X0 @ ( sK2 @ X0 ) @ ( sK3 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
!= $true )
| ? [X2: $i > $o,X3: $i > $o,X4: $i > $o] :
( ( ( X0 @ X4 @ X2 )
= $true )
& ( ( X0 @ X3 @ X2 )
!= $true )
& ( $true
= ( X0 @ X3 @ X4 ) ) )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(flattening,[],[f9]) ).
thf(f9,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ? [X4: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( X0 @ X3 @ X2 )
!= $true )
& ( ( X0 @ X4 @ X2 )
= $true )
& ( $true
= ( X0 @ X3 @ X4 ) ) )
| ? [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
!= $true )
& ! [X4: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( ( X0 @ X4 @ X2 )
= $true )
& ( $true
= ( X0 @ X3 @ X4 ) ) )
=> ( ( X0 @ X3 @ X2 )
= $true ) )
& ! [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
= $true ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
= $true )
& ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
!= $true )
& ! [X4: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( ( X0 @ X4 @ X2 )
= $true )
& ( $true
= ( X0 @ X3 @ X4 ) ) )
=> ( ( X0 @ X3 @ X2 )
= $true ) ) ),
inference(true_and_false_elimination,[],[f6]) ).
thf(f6,plain,
~ ( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
= $true )
& ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
!= $true )
& ! [X4: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( ( X0 @ X4 @ X2 )
= $true )
& ( $true
= ( X0 @ X3 @ X4 ) ) )
=> ( ( X0 @ X3 @ X2 )
= $true ) ) )
& $true ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
= $true )
& ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
!= $true )
& ! [X4: $i > $o,X5: $i > $o,X6: $i > $o] :
( ( ( ( X0 @ X5 @ X6 )
= $true )
& ( ( X0 @ X6 @ X4 )
= $true ) )
=> ( $true
= ( X0 @ X5 @ X4 ) ) ) )
& $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X2: $i] : $true
@ ^ [X3: $i] : $false )
& ! [X4: $i > $o,X5: $i > $o,X6: $i > $o] :
( ( ( X0 @ X5 @ X6 )
& ( X0 @ X6 @ X4 ) )
=> ( X0 @ X5 @ X4 ) ) )
& $true ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X1: $i] : $true
@ ^ [X1: $i] : $false )
& ! [X3: $i > $o,X1: $i > $o,X2: $i > $o] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) ) )
& $true ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X1: $i] : $true
@ ^ [X1: $i] : $false )
& ! [X3: $i > $o,X1: $i > $o,X2: $i > $o] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) ) )
& $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120_3_pme) ).
thf(f80,plain,
( ~ spl4_3
| spl4_1 ),
inference(avatar_split_clause,[],[f62,f43,f77]) ).
thf(f62,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
!= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f61]) ).
thf(f61,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ( $true
!= ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f60]) ).
thf(f60,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true
!= ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f59]) ).
thf(f59,plain,
( ( $true != $true )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true
!= ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f58]) ).
thf(f58,plain,
( ( $true
!= ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true
!= ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f51]) ).
thf(f51,plain,
( ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(primitive_instantiation,[],[f15]) ).
thf(f15,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( ( X0 @ ( sK2 @ X0 ) @ ( sK1 @ X0 ) )
!= $true )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f50,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f41,f47,f43]) ).
thf(f41,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f40,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ( $true
= ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f39,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true
= ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f38]) ).
thf(f38,plain,
( ( $true
= ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true != $true ) ),
inference(boolean_simplification,[],[f37]) ).
thf(f37,plain,
( ( $true
!= ( ( sK0
@ ^ [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
= ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f17]) ).
thf(f17,plain,
( ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true ) ),
inference(primitive_instantiation,[],[f14]) ).
thf(f14,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
= ( X0 @ ( sK2 @ X0 ) @ ( sK3 @ X0 ) ) )
| ( ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false )
= $true )
| ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEV083^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.10 % Command : run_vampire %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Jun 21 18:36:53 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 This is a TH0_THM_NEQ_NAR problem
% 0.10/0.31 Running higher-order theorem proving
% 0.10/0.31 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
% 0.16/0.32 % (22518)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.16/0.32 % (22519)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 (3000ds/4Mi)
% 0.16/0.32 % (22520)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 (3000ds/27Mi)
% 0.16/0.32 % (22521)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.32 % (22523)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 (3000ds/275Mi)
% 0.16/0.32 % (22522)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 (3000ds/2Mi)
% 0.16/0.32 % (22522)Instruction limit reached!
% 0.16/0.32 % (22522)------------------------------
% 0.16/0.32 % (22522)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.16/0.32 % (22522)Termination reason: Unknown
% 0.16/0.32 % (22524)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.16/0.32 % (22522)Termination phase: Saturation
% 0.16/0.32
% 0.16/0.32 % (22522)Memory used [KB]: 895
% 0.16/0.32 % (22522)Time elapsed: 0.003 s
% 0.16/0.32 % (22522)Instructions burned: 2 (million)
% 0.16/0.32 % (22522)------------------------------
% 0.16/0.32 % (22522)------------------------------
% 0.16/0.32 % (22520)Refutation not found, incomplete strategy
% 0.16/0.32 % (22520)------------------------------
% 0.16/0.32 % (22520)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.16/0.32 % (22520)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.32
% 0.16/0.32
% 0.16/0.32 % (22520)Memory used [KB]: 5500
% 0.16/0.32 % (22520)Time elapsed: 0.002 s
% 0.16/0.32 % (22520)Instructions burned: 1 (million)
% 0.16/0.32 % (22520)------------------------------
% 0.16/0.32 % (22520)------------------------------
% 0.16/0.32 % (22521)Instruction limit reached!
% 0.16/0.32 % (22521)------------------------------
% 0.16/0.32 % (22521)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.16/0.32 % (22521)Termination reason: Unknown
% 0.16/0.32 % (22521)Termination phase: Saturation
% 0.16/0.32
% 0.16/0.32 % (22521)Memory used [KB]: 5500
% 0.16/0.32 % (22521)Time elapsed: 0.004 s
% 0.16/0.32 % (22521)Instructions burned: 3 (million)
% 0.16/0.32 % (22521)------------------------------
% 0.16/0.32 % (22521)------------------------------
% 0.16/0.32 % (22519)Instruction limit reached!
% 0.16/0.32 % (22519)------------------------------
% 0.16/0.32 % (22519)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.16/0.32 % (22519)Termination reason: Unknown
% 0.16/0.32 % (22519)Termination phase: Saturation
% 0.16/0.32
% 0.16/0.32 % (22519)Memory used [KB]: 5500
% 0.16/0.32 % (22519)Time elapsed: 0.004 s
% 0.16/0.32 % (22519)Instructions burned: 6 (million)
% 0.16/0.32 % (22519)------------------------------
% 0.16/0.32 % (22519)------------------------------
% 0.16/0.32 % (22523)First to succeed.
% 0.16/0.33 % (22523)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (22523)------------------------------
% 0.16/0.33 % (22523)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.16/0.33 % (22523)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (22523)Memory used [KB]: 5500
% 0.16/0.33 % (22523)Time elapsed: 0.007 s
% 0.16/0.33 % (22523)Instructions burned: 9 (million)
% 0.16/0.33 % (22523)------------------------------
% 0.16/0.33 % (22523)------------------------------
% 0.16/0.33 % (22517)Success in time 0.008 s
%------------------------------------------------------------------------------