TSTP Solution File: SEV084^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV084^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 0.24s 0.41s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 548 ( 208 equ; 0 cnn)
% Maximal formula atoms : 6 ( 10 avg)
% Number of connectives : 501 ( 85 ~; 79 |; 39 &; 288 @)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 246 ( 246 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 267 ( 210 ^ 36 !; 21 ?; 267 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_8,type,
sK0: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_9,type,
sK1: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_10,type,
sK2: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_11,type,
sK3: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(func_def_13,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f134,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f128,f129,f133]) ).
thf(f133,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f132]) ).
thf(f132,plain,
( $false
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f131,plain,
( ( $false = $true )
| ~ spl4_1 ),
inference(beta_eta_normalization,[],[f130]) ).
thf(f130,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $false
@ X1 )
= ( ^ [Y0: $i] : $true
@ X1 ) )
| ~ spl4_1 ),
inference(argument_congruence,[],[f50]) ).
thf(f50,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f48,plain,
( spl4_1
<=> ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
thf(f129,plain,
( spl4_1
| spl4_5 ),
inference(avatar_split_clause,[],[f89,f125,f48]) ).
thf(f125,plain,
( spl4_5
<=> ( ( 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_5])]) ).
thf(f89,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 ) ) ),
inference(equality_proxy_clausification,[],[f88]) ).
thf(f88,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f87]) ).
thf(f87,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f86]) ).
thf(f86,plain,
( ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true != $true ) ),
inference(boolean_simplification,[],[f85]) ).
thf(f85,plain,
( ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f65]) ).
thf(f65,plain,
( ( ( ^ [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 ) ) )
!= $true )
| ( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ( $true
= ( ^ [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 ) ) ) ) ),
inference(primitive_instantiation,[],[f19]) ).
thf(f19,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
| ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) ) ),
inference(boolean_simplification,[],[f18]) ).
thf(f18,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] : $false ) )
| ( ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
= $true ) ),
inference(boolean_simplification,[],[f13]) ).
thf(f13,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) )
| ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) )
| ( ( $true
= ( X0 @ ( sK3 @ X0 ) @ ( sK1 @ X0 ) ) )
& ( $true
!= ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) ) )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
= $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] :
( ( X0 @ X1 @ X1 )
!= $true )
=> ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X2: $i > $o,X3: $i > $o,X4: $i > $o] :
( ( $true
= ( X0 @ X4 @ X2 ) )
& ( ( X0 @ X4 @ X3 )
!= $true )
& ( ( X0 @ X2 @ X3 )
= $true ) )
=> ( ( $true
= ( X0 @ ( sK3 @ X0 ) @ ( sK1 @ X0 ) ) )
& ( $true
!= ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) ) )
& ( ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o] :
( ( X0 @ X1 @ X1 )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) )
| ? [X2: $i > $o,X3: $i > $o,X4: $i > $o] :
( ( $true
= ( X0 @ X4 @ X2 ) )
& ( ( X0 @ X4 @ X3 )
!= $true )
& ( ( X0 @ X2 @ X3 )
= $true ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X4: $i > $o] :
( $true
!= ( X0 @ X4 @ X4 ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) )
| ? [X3: $i > $o,X2: $i > $o,X1: $i > $o] :
( ( ( X0 @ X1 @ X3 )
= $true )
& ( ( X0 @ X1 @ X2 )
!= $true )
& ( ( X0 @ X3 @ X2 )
= $true ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X1: $i > $o,X3: $i > $o,X2: $i > $o] :
( ( ( X0 @ X1 @ X2 )
!= $true )
& ( ( X0 @ X3 @ X2 )
= $true )
& ( ( X0 @ X1 @ X3 )
= $true ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) )
| ? [X4: $i > $o] :
( $true
!= ( X0 @ X4 @ X4 ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o,X3: $i > $o,X2: $i > $o] :
( ( ( ( X0 @ X3 @ X2 )
= $true )
& ( ( X0 @ X1 @ X3 )
= $true ) )
=> ( ( X0 @ X1 @ X2 )
= $true ) )
& ( $true
!= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) )
& ! [X4: $i > $o] :
( $true
= ( X0 @ X4 @ X4 ) ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o,X3: $i > $o,X2: $i > $o] :
( ( ( ( X0 @ X3 @ X2 )
= $true )
& ( ( X0 @ X1 @ X3 )
= $true ) )
=> ( ( X0 @ X1 @ X2 )
= $true ) )
& ! [X4: $i > $o] :
( $true
= ( X0 @ X4 @ X4 ) )
& ( $true
!= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o,X2: $i > $o,X3: $i > $o] :
( ( ( X0 @ X3 @ X2 )
& ( X0 @ X1 @ X3 ) )
=> ( X0 @ X1 @ X2 ) )
& ! [X4: $i > $o] : ( X0 @ X4 @ X4 )
& ~ ( X0
@ ^ [X5: $i] :
( ~ cP
| cP )
@ ^ [X6: $i] :
( ~ cP
& cP ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o,X3: $i > $o,X2: $i > $o] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X1: $i] :
( ~ cP
| cP )
@ ^ [X1: $i] :
( ~ cP
& cP ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ! [X1: $i > $o,X3: $i > $o,X2: $i > $o] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X1 @ X3 ) )
& ! [X1: $i > $o] : ( X0 @ X1 @ X1 )
& ~ ( X0
@ ^ [X1: $i] :
( ~ cP
| cP )
@ ^ [X1: $i] :
( ~ cP
& cP ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120J_pme) ).
thf(f128,plain,
( spl4_1
| ~ spl4_5
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f123,f52,f125,f48]) ).
thf(f52,plain,
( spl4_2
<=> ( ( sK1
@ ^ [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(f123,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(forward_demodulation,[],[f116,f54]) ).
thf(f54,plain,
( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f116,plain,
( ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) )
| ( ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
!= ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ),
inference(equality_proxy_clausification,[],[f115]) ).
thf(f115,plain,
( ( $true
!= ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) ),
inference(equality_proxy_clausification,[],[f114]) ).
thf(f114,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( $true
!= ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f113,plain,
( ( $true
!= ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( $true != $true )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) ) ),
inference(boolean_simplification,[],[f112]) ).
thf(f112,plain,
( ( ( ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK0
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
!= $true )
| ( $true
!= ( ( sK2
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) ) ),
inference(beta_eta_normalization,[],[f94]) ).
thf(f94,plain,
( ( ( ^ [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 ) ) )
!= $true )
| ( $true
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [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 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) ) ),
inference(primitive_instantiation,[],[f21]) ).
thf(f21,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) ) ),
inference(boolean_simplification,[],[f20]) ).
thf(f20,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] : $false ) ) ),
inference(boolean_simplification,[],[f14]) ).
thf(f14,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) )
| ( $true
!= ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f55,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f42,f52,f48]) ).
thf(f42,plain,
( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
| ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f41,plain,
( ( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f40,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f39,plain,
( ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) )
| ( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) )
= $true )
| ( $true != $true ) ),
inference(boolean_simplification,[],[f38]) ).
thf(f38,plain,
( ( ( ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
= ( sK3
@ ^ [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 ) ) )
!= $true )
| ( $true
= ( ( ^ [Y0: $i] : $false )
= ( ^ [Y0: $i] : $true ) ) ) ),
inference(beta_eta_normalization,[],[f22]) ).
thf(f22,plain,
( ( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) )
| ( ( ^ [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 ) ) )
!= $true )
| ( $true
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 )
@ ( sK3
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) )
@ ( sK1
@ ^ [Y0: $i > $o,Y1: $i > $o] : ( Y1 = Y0 ) ) ) ) ),
inference(primitive_instantiation,[],[f17]) ).
thf(f17,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
= ( X0 @ ( sK3 @ X0 ) @ ( sK1 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] : $true
@ ^ [Y0: $i] : $false ) ) ),
inference(boolean_simplification,[],[f16]) ).
thf(f16,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( X0 @ ( sK3 @ X0 ) @ ( sK1 @ X0 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] : $false ) ) ),
inference(boolean_simplification,[],[f15]) ).
thf(f15,plain,
! [X0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X0 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( cP
| ~ cP )
@ ^ [Y0: $i] :
( cP
& ~ cP ) ) )
| ( $true
= ( X0 @ ( sK3 @ X0 ) @ ( sK1 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEV084^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14 % Command : run_vampire %s %d THM
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Jun 21 19:15:09 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.38 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.38 Running higher-order theorem proving
% 0.14/0.38 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.14/0.40 % (29562)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.40 % (29566)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)
% 0.14/0.40 % (29564)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)
% 0.14/0.40 % (29563)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)
% 0.14/0.40 % (29565)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40 % (29567)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)
% 0.14/0.40 % (29568)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.40 % (29565)Instruction limit reached!
% 0.14/0.40 % (29565)------------------------------
% 0.14/0.40 % (29565)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.40 % (29565)Termination reason: Unknown
% 0.14/0.40 % (29566)Instruction limit reached!
% 0.14/0.40 % (29566)------------------------------
% 0.14/0.40 % (29566)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.40 % (29565)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (29565)Memory used [KB]: 5500
% 0.14/0.40 % (29565)Time elapsed: 0.004 s
% 0.14/0.40 % (29565)Instructions burned: 2 (million)
% 0.14/0.40 % (29565)------------------------------
% 0.14/0.40 % (29565)------------------------------
% 0.14/0.40 % (29566)Termination reason: Unknown
% 0.14/0.40 % (29566)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (29566)Memory used [KB]: 5500
% 0.14/0.40 % (29566)Time elapsed: 0.004 s
% 0.14/0.40 % (29566)Instructions burned: 2 (million)
% 0.14/0.40 % (29566)------------------------------
% 0.14/0.40 % (29566)------------------------------
% 0.14/0.40 % (29564)Refutation not found, incomplete strategy
% 0.14/0.40 % (29564)------------------------------
% 0.14/0.40 % (29564)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.40 % (29564)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40
% 0.14/0.40
% 0.14/0.40 % (29564)Memory used [KB]: 5500
% 0.14/0.40 % (29564)Time elapsed: 0.004 s
% 0.14/0.40 % (29564)Instructions burned: 2 (million)
% 0.14/0.40 % (29564)------------------------------
% 0.14/0.40 % (29564)------------------------------
% 0.14/0.40 % (29563)Instruction limit reached!
% 0.14/0.40 % (29563)------------------------------
% 0.14/0.40 % (29563)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.14/0.40 % (29563)Termination reason: Unknown
% 0.14/0.40 % (29563)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (29563)Memory used [KB]: 5500
% 0.14/0.40 % (29563)Time elapsed: 0.006 s
% 0.14/0.40 % (29563)Instructions burned: 4 (million)
% 0.14/0.40 % (29563)------------------------------
% 0.14/0.40 % (29563)------------------------------
% 0.24/0.40 % (29567)First to succeed.
% 0.24/0.41 % (29567)Refutation found. Thanks to Tanya!
% 0.24/0.41 % SZS status Theorem for theBenchmark
% 0.24/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.41 % (29567)------------------------------
% 0.24/0.41 % (29567)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.41 % (29567)Termination reason: Refutation
% 0.24/0.41
% 0.24/0.41 % (29567)Memory used [KB]: 5500
% 0.24/0.41 % (29567)Time elapsed: 0.011 s
% 0.24/0.41 % (29567)Instructions burned: 8 (million)
% 0.24/0.41 % (29567)------------------------------
% 0.24/0.41 % (29567)------------------------------
% 0.24/0.41 % (29561)Success in time 0.013 s
%------------------------------------------------------------------------------