TSTP Solution File: SEV190^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV190^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n023.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 16:02:11 EDT 2024
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of formulae : 58 ( 55 unt; 0 typ; 0 def)
% Number of atoms : 562 ( 97 equ; 0 cnn)
% Maximal formula atoms : 7 ( 9 avg)
% Number of connectives : 1926 ( 22 ~; 0 |; 147 &;1409 @)
% ( 0 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 9 con; 0-3 aty)
% ( 257 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 371 ( 276 ^ 95 !; 0 ?; 371 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
iS: $tType ).
thf(func_def_0,type,
iS: $tType ).
thf(func_def_1,type,
c0: iS ).
thf(func_def_2,type,
cJOIN: iS > iS > iS > $o ).
thf(func_def_3,type,
cP: iS > iS > iS ).
thf(func_def_4,type,
cS_JOIN_CLOS: iS > ( iS > iS > iS ) > ( iS > iS > iS > $o ) > $o ).
thf(func_def_23,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
sK2: iS ).
thf(func_def_25,type,
sK3: iS ).
thf(func_def_26,type,
sK4: iS ).
thf(func_def_27,type,
sK5: iS ).
thf(func_def_28,type,
sK6: iS ).
thf(f323,plain,
$false,
inference(trivial_inequality_removal,[],[f322]) ).
thf(f322,plain,
$true = $false,
inference(superposition,[],[f62,f302]) ).
thf(f302,plain,
( ( ( ( cJOIN @ sK5 @ sK5 @ sK5 )
& ( cJOIN @ sK6 @ sK6 @ sK6 ) )
=> ( cJOIN @ ( cP @ sK6 @ sK5 ) @ ( cP @ sK6 @ sK5 ) @ ( cP @ sK6 @ sK5 ) ) )
= $false ),
inference(beta_eta_normalization,[],[f300]) ).
thf(f300,plain,
( $false
= ( ^ [Y0: iS] :
( ( ( cJOIN @ sK5 @ sK5 @ sK5 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y0 @ sK5 ) @ ( cP @ Y0 @ sK5 ) @ ( cP @ Y0 @ sK5 ) ) )
@ sK6 ) ),
inference(sigma_clausification,[],[f287]) ).
thf(f287,plain,
( ( !! @ iS
@ ^ [Y0: iS] :
( ( ( cJOIN @ sK5 @ sK5 @ sK5 )
& ( cJOIN @ Y0 @ Y0 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y0 @ sK5 ) @ ( cP @ Y0 @ sK5 ) @ ( cP @ Y0 @ sK5 ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f283]) ).
thf(f283,plain,
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) )
@ sK5 )
= $false ),
inference(sigma_clausification,[],[f269]) ).
thf(f269,plain,
( $false
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f139]) ).
thf(f139,plain,
( $true
= ( ~ ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f138]) ).
thf(f138,plain,
( $true
= ( ~ ( $true
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f123,f47]) ).
thf(f47,plain,
! [X1: iS] :
( ( cJOIN @ X1 @ c0 @ X1 )
= $true ),
inference(beta_eta_normalization,[],[f46]) ).
thf(f46,plain,
! [X1: iS] :
( $true
= ( ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 )
@ X1 ) ),
inference(pi_clausification,[],[f41]) ).
thf(f41,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) ) ),
inference(binary_proxy_clausification,[],[f37]) ).
thf(f37,plain,
( ( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f36]) ).
thf(f36,plain,
( $true
= ( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
& $true ) ),
inference(backward_demodulation,[],[f31,f34]) ).
thf(f34,plain,
( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
= $true ),
inference(binary_proxy_clausification,[],[f31]) ).
thf(f31,plain,
( ( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) ) )
= $true ),
inference(boolean_simplification,[],[f30]) ).
thf(f30,plain,
( ( $true
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) ) )
= $true ),
inference(backward_demodulation,[],[f25,f29]) ).
thf(f29,plain,
( $true
= ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f25]) ).
thf(f25,plain,
( $true
= ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) ) ) ),
inference(boolean_simplification,[],[f24]) ).
thf(f24,plain,
( $true
= ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& $true ) ),
inference(backward_demodulation,[],[f17,f22]) ).
thf(f22,plain,
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y1 )
= ( cP @ Y2 @ Y3 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y1 )
= ( cP @ Y2 @ Y3 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( $false
= ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y1 )
= ( cP @ Y2 @ Y3 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ c0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ c0 @ Y0 @ Y0 ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y1 )
= ( cP @ Y2 @ Y3 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y3 @ Y0 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( !! @ iS
@ ^ [Y6: iS] :
( !! @ iS
@ ^ [Y7: iS] :
( !! @ iS
@ ^ [Y8: iS] :
( ( ( Y2 @ Y8 @ Y5 @ Y4 )
& ( Y2 @ Y7 @ Y6 @ Y3 ) )
=> ( Y2 @ ( Y1 @ Y7 @ Y8 ) @ ( Y1 @ Y6 @ Y5 ) @ ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) ) )
@ c0
@ cP
@ cJOIN )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y1 )
= ( cP @ Y2 @ Y3 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f10,f9]) ).
thf(f9,plain,
( cS_JOIN_CLOS
= ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y3 @ Y0 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( !! @ iS
@ ^ [Y6: iS] :
( !! @ iS
@ ^ [Y7: iS] :
( !! @ iS
@ ^ [Y8: iS] :
( ( ( Y2 @ Y8 @ Y5 @ Y4 )
& ( Y2 @ Y7 @ Y6 @ Y3 ) )
=> ( Y2 @ ( Y1 @ Y7 @ Y8 ) @ ( Y1 @ Y6 @ Y5 ) @ ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( cS_JOIN_CLOS
= ( ^ [Y0: iS,Y1: iS > iS > iS,Y2: iS > iS > iS > $o] :
( ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y3 @ Y0 @ Y3 ) )
& ( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( !! @ iS
@ ^ [Y6: iS] :
( !! @ iS
@ ^ [Y7: iS] :
( !! @ iS
@ ^ [Y8: iS] :
( ( ( Y2 @ Y8 @ Y5 @ Y4 )
& ( Y2 @ Y7 @ Y6 @ Y3 ) )
=> ( Y2 @ ( Y1 @ Y7 @ Y8 ) @ ( Y1 @ Y6 @ Y5 ) @ ( Y1 @ Y3 @ Y4 ) ) ) ) ) ) ) ) )
& ( !! @ iS
@ ^ [Y3: iS] : ( Y2 @ Y0 @ Y3 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
( ( ^ [X0: iS,X1: iS > iS > iS,X2: iS > iS > iS > $o] :
( ! [X3: iS] : ( X2 @ X0 @ X3 @ X3 )
& ! [X4: iS,X5: iS,X6: iS,X7: iS,X8: iS,X9: iS] :
( ( ( X2 @ X5 @ X6 @ X9 )
& ( X2 @ X4 @ X7 @ X8 ) )
=> ( X2 @ ( X1 @ X5 @ X4 ) @ ( X1 @ X6 @ X7 ) @ ( X1 @ X9 @ X8 ) ) )
& ! [X10: iS] : ( X2 @ X10 @ X0 @ X10 ) ) )
= cS_JOIN_CLOS ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: iS,X1: iS > iS > iS,X2: iS > iS > iS > $o] :
( ! [X4: iS] : ( X2 @ X0 @ X4 @ X4 )
& ! [X6: iS,X3: iS,X4: iS,X7: iS,X8: iS,X5: iS] :
( ( ( X2 @ X3 @ X4 @ X5 )
& ( X2 @ X6 @ X7 @ X8 ) )
=> ( X2 @ ( X1 @ X3 @ X6 ) @ ( X1 @ X4 @ X7 ) @ ( X1 @ X5 @ X8 ) ) )
& ! [X3: iS] : ( X2 @ X3 @ X0 @ X3 ) ) )
= cS_JOIN_CLOS ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_JOIN_CLOS_def) ).
thf(f10,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y1 )
= ( cP @ Y2 @ Y3 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f6,plain,
( ( ~ ( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y1: iS] : ( Y0 @ Y1 ) ) ) )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cP @ Y0 @ Y1 )
= ( cP @ Y2 @ Y3 ) )
=> ( ( Y3 = Y1 )
& ( Y2 = Y0 ) ) ) ) ) ) ) )
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ( ( ! [X0: iS,X1: iS,X2: iS,X3: iS] :
( ( ( cP @ X3 @ X2 )
= ( cP @ X1 @ X0 ) )
=> ( ( X1 = X3 )
& ( X0 = X2 ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X4: iS,X5: iS] :
( c0
!= ( cP @ X5 @ X4 ) )
& ! [X6: iS > $o] :
( ( ! [X7: iS,X8: iS] :
( ( ( X6 @ X7 )
& ( X6 @ X8 ) )
=> ( X6 @ ( cP @ X7 @ X8 ) ) )
& ( X6 @ c0 ) )
=> ! [X9: iS] : ( X6 @ X9 ) ) )
=> ! [X10: iS] : ( cJOIN @ X10 @ X10 @ X10 ) ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ( ( ! [X6: iS,X3: iS,X7: iS,X4: iS] :
( ( ( cP @ X3 @ X6 )
= ( cP @ X4 @ X7 ) )
=> ( ( X3 = X4 )
& ( X6 = X7 ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X4: iS,X3: iS] :
( ( cP @ X3 @ X4 )
!= c0 )
& ! [X9: iS > $o] :
( ( ! [X3: iS,X4: iS] :
( ( ( X9 @ X3 )
& ( X9 @ X4 ) )
=> ( X9 @ ( cP @ X3 @ X4 ) ) )
& ( X9 @ c0 ) )
=> ! [X3: iS] : ( X9 @ X3 ) ) )
=> ! [X3: iS] : ( cJOIN @ X3 @ X3 @ X3 ) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
( ( ! [X6: iS,X3: iS,X7: iS,X4: iS] :
( ( ( cP @ X3 @ X6 )
= ( cP @ X4 @ X7 ) )
=> ( ( X3 = X4 )
& ( X6 = X7 ) ) )
& ( cS_JOIN_CLOS @ c0 @ cP @ cJOIN )
& ! [X4: iS,X3: iS] :
( ( cP @ X3 @ X4 )
!= c0 )
& ! [X9: iS > $o] :
( ( ! [X3: iS,X4: iS] :
( ( ( X9 @ X3 )
& ( X9 @ X4 ) )
=> ( X9 @ ( cP @ X3 @ X4 ) ) )
& ( X9 @ c0 ) )
=> ! [X3: iS] : ( X9 @ X3 ) ) )
=> ! [X3: iS] : ( cJOIN @ X3 @ X3 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM580_pme) ).
thf(f123,plain,
( $true
= ( ~ ( ( cJOIN @ c0 @ c0 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f122]) ).
thf(f122,plain,
( ( ( ( cJOIN @ c0 @ c0 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y0 @ Y0 @ Y0 )
& ( cJOIN @ Y1 @ Y1 @ Y1 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[],[f89]) ).
thf(f89,plain,
( ( ( ( ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 )
@ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ Y0 )
& ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ Y1 ) )
=> ( ^ [Y2: iS] : ( cJOIN @ Y2 @ Y2 @ Y2 )
@ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> $false )
= $true ),
inference(superposition,[],[f85,f19]) ).
thf(f19,plain,
( ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) )
= $false ),
inference(boolean_simplification,[],[f18]) ).
thf(f18,plain,
( $false
= ( $true
=> ( !! @ iS
@ ^ [Y0: iS] : ( cJOIN @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(backward_demodulation,[],[f13,f17]) ).
thf(f85,plain,
! [X1: iS > $o] :
( $true
= ( ( ( X1 @ c0 )
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( X1 @ Y0 )
& ( X1 @ Y1 ) )
=> ( X1 @ ( cP @ Y1 @ Y0 ) ) ) ) ) )
=> ( !! @ iS @ X1 ) ) ),
inference(beta_eta_normalization,[],[f84]) ).
thf(f84,plain,
! [X1: iS > $o] :
( $true
= ( ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[],[f81]) ).
thf(f81,plain,
( $true
= ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) ) ),
inference(boolean_simplification,[],[f80]) ).
thf(f80,plain,
( ( ( !! @ ( iS > $o )
@ ^ [Y0: iS > $o] :
( ( ( Y0 @ c0 )
& ( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( Y0 @ Y1 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( cP @ Y2 @ Y1 ) ) ) ) ) )
=> ( !! @ iS @ Y0 ) ) )
& $true )
= $true ),
inference(backward_demodulation,[],[f29,f78]) ).
thf(f78,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( c0
!= ( cP @ Y0 @ Y1 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f29]) ).
thf(f62,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( $true
= ( ( ( cJOIN @ X6 @ X3 @ X2 )
& ( cJOIN @ X5 @ X4 @ X1 ) )
=> ( cJOIN @ ( cP @ X5 @ X6 ) @ ( cP @ X4 @ X3 ) @ ( cP @ X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f61]) ).
thf(f61,plain,
! [X2: iS,X3: iS,X1: iS,X6: iS,X4: iS,X5: iS] :
( $true
= ( ^ [Y0: iS] :
( ( ( cJOIN @ Y0 @ X3 @ X2 )
& ( cJOIN @ X5 @ X4 @ X1 ) )
=> ( cJOIN @ ( cP @ X5 @ Y0 ) @ ( cP @ X4 @ X3 ) @ ( cP @ X1 @ X2 ) ) )
@ X6 ) ),
inference(pi_clausification,[],[f59]) ).
thf(f59,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( ( ( cJOIN @ Y0 @ X3 @ X2 )
& ( cJOIN @ X5 @ X4 @ X1 ) )
=> ( cJOIN @ ( cP @ X5 @ Y0 ) @ ( cP @ X4 @ X3 ) @ ( cP @ X1 @ X2 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f58]) ).
thf(f58,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS,X5: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y1 @ X3 @ X2 )
& ( cJOIN @ Y0 @ X4 @ X1 ) )
=> ( cJOIN @ ( cP @ Y0 @ Y1 ) @ ( cP @ X4 @ X3 ) @ ( cP @ X1 @ X2 ) ) ) )
@ X5 )
= $true ),
inference(pi_clausification,[],[f55]) ).
thf(f55,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( ( ( cJOIN @ Y1 @ X3 @ X2 )
& ( cJOIN @ Y0 @ X4 @ X1 ) )
=> ( cJOIN @ ( cP @ Y0 @ Y1 ) @ ( cP @ X4 @ X3 ) @ ( cP @ X1 @ X2 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f54]) ).
thf(f54,plain,
! [X2: iS,X3: iS,X1: iS,X4: iS] :
( $true
= ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( cJOIN @ Y2 @ X3 @ X2 )
& ( cJOIN @ Y1 @ Y0 @ X1 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y2 ) @ ( cP @ Y0 @ X3 ) @ ( cP @ X1 @ X2 ) ) ) ) )
@ X4 ) ),
inference(pi_clausification,[],[f51]) ).
thf(f51,plain,
! [X2: iS,X3: iS,X1: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( ( ( cJOIN @ Y2 @ X3 @ X2 )
& ( cJOIN @ Y1 @ Y0 @ X1 ) )
=> ( cJOIN @ ( cP @ Y1 @ Y2 ) @ ( cP @ Y0 @ X3 ) @ ( cP @ X1 @ X2 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f50]) ).
thf(f50,plain,
! [X2: iS,X3: iS,X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cJOIN @ Y3 @ Y0 @ X2 )
& ( cJOIN @ Y2 @ Y1 @ X1 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y3 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ X1 @ X2 ) ) ) ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f49]) ).
thf(f49,plain,
! [X2: iS,X1: iS] :
( ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( ( ( cJOIN @ Y3 @ Y0 @ X2 )
& ( cJOIN @ Y2 @ Y1 @ X1 ) )
=> ( cJOIN @ ( cP @ Y2 @ Y3 ) @ ( cP @ Y1 @ Y0 ) @ ( cP @ X1 @ X2 ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f48]) ).
thf(f48,plain,
! [X2: iS,X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( ( ( cJOIN @ Y4 @ Y1 @ Y0 )
& ( cJOIN @ Y3 @ Y2 @ X1 ) )
=> ( cJOIN @ ( cP @ Y3 @ Y4 ) @ ( cP @ Y2 @ Y1 ) @ ( cP @ X1 @ Y0 ) ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f45]) ).
thf(f45,plain,
! [X1: iS] :
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( ( ( cJOIN @ Y4 @ Y1 @ Y0 )
& ( cJOIN @ Y3 @ Y2 @ X1 ) )
=> ( cJOIN @ ( cP @ Y3 @ Y4 ) @ ( cP @ Y2 @ Y1 ) @ ( cP @ X1 @ Y0 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X1: iS] :
( ( ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f43]) ).
thf(f43,plain,
( $true
= ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f42]) ).
thf(f42,plain,
( $true
= ( $true
& ( !! @ iS
@ ^ [Y0: iS] :
( !! @ iS
@ ^ [Y1: iS] :
( !! @ iS
@ ^ [Y2: iS] :
( !! @ iS
@ ^ [Y3: iS] :
( !! @ iS
@ ^ [Y4: iS] :
( !! @ iS
@ ^ [Y5: iS] :
( ( ( cJOIN @ Y5 @ Y2 @ Y1 )
& ( cJOIN @ Y4 @ Y3 @ Y0 ) )
=> ( cJOIN @ ( cP @ Y4 @ Y5 ) @ ( cP @ Y3 @ Y2 ) @ ( cP @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f37,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEV190^5 : TPTP v8.2.0. Bugfixed v5.3.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 18:56:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 Running higher-order theorem proving
% 0.13/0.36 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
% 0.13/0.38 % (31239)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)
% 0.13/0.38 % (31238)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)
% 0.13/0.38 % (31237)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (31240)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (31242)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)
% 0.13/0.38 % (31241)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)
% 0.13/0.38 % (31243)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (31240)Instruction limit reached!
% 0.13/0.38 % (31240)------------------------------
% 0.13/0.38 % (31240)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (31240)Termination reason: Unknown
% 0.13/0.38 % (31240)Termination phase: Preprocessing 3
% 0.13/0.38
% 0.13/0.38 % (31240)Memory used [KB]: 1023
% 0.13/0.38 % (31240)Time elapsed: 0.004 s
% 0.13/0.38 % (31240)Instructions burned: 2 (million)
% 0.13/0.38 % (31240)------------------------------
% 0.13/0.38 % (31240)------------------------------
% 0.13/0.38 % (31241)Instruction limit reached!
% 0.13/0.38 % (31241)------------------------------
% 0.13/0.38 % (31241)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (31241)Termination reason: Unknown
% 0.13/0.38 % (31241)Termination phase: Property scanning
% 0.13/0.38
% 0.13/0.38 % (31241)Memory used [KB]: 1023
% 0.13/0.38 % (31241)Time elapsed: 0.004 s
% 0.13/0.38 % (31241)Instructions burned: 3 (million)
% 0.13/0.38 % (31241)------------------------------
% 0.13/0.38 % (31241)------------------------------
% 0.13/0.39 % (31238)Instruction limit reached!
% 0.13/0.39 % (31238)------------------------------
% 0.13/0.39 % (31238)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (31238)Termination reason: Unknown
% 0.13/0.39 % (31238)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (31238)Memory used [KB]: 5500
% 0.13/0.39 % (31238)Time elapsed: 0.005 s
% 0.13/0.39 % (31238)Instructions burned: 5 (million)
% 0.13/0.39 % (31238)------------------------------
% 0.13/0.39 % (31238)------------------------------
% 0.13/0.39 % (31239)Refutation not found, incomplete strategy
% 0.13/0.39 % (31239)------------------------------
% 0.13/0.39 % (31239)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (31239)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (31239)Memory used [KB]: 5628
% 0.13/0.39 % (31239)Time elapsed: 0.010 s
% 0.13/0.39 % (31239)Instructions burned: 10 (million)
% 0.13/0.39 % (31239)------------------------------
% 0.13/0.39 % (31239)------------------------------
% 0.13/0.40 % (31243)Instruction limit reached!
% 0.13/0.40 % (31243)------------------------------
% 0.13/0.40 % (31243)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (31243)Termination reason: Unknown
% 0.13/0.40 % (31243)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (31243)Memory used [KB]: 5628
% 0.13/0.40 % (31243)Time elapsed: 0.017 s
% 0.13/0.40 % (31243)Instructions burned: 19 (million)
% 0.13/0.40 % (31243)------------------------------
% 0.13/0.40 % (31243)------------------------------
% 0.21/0.40 % (31244)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (31245)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.40 % (31244)Instruction limit reached!
% 0.21/0.40 % (31244)------------------------------
% 0.21/0.40 % (31244)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (31244)Termination reason: Unknown
% 0.21/0.40 % (31244)Termination phase: Function definition elimination
% 0.21/0.40
% 0.21/0.40 % (31244)Memory used [KB]: 1023
% 0.21/0.40 % (31244)Time elapsed: 0.004 s
% 0.21/0.40 % (31244)Instructions burned: 3 (million)
% 0.21/0.40 % (31244)------------------------------
% 0.21/0.40 % (31244)------------------------------
% 0.21/0.40 % (31246)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.41 % (31248)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (31248)Instruction limit reached!
% 0.21/0.41 % (31248)------------------------------
% 0.21/0.41 % (31248)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (31248)Termination reason: Unknown
% 0.21/0.41 % (31248)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (31248)Memory used [KB]: 1023
% 0.21/0.41 % (31248)Time elapsed: 0.004 s
% 0.21/0.41 % (31248)Instructions burned: 3 (million)
% 0.21/0.41 % (31248)------------------------------
% 0.21/0.41 % (31248)------------------------------
% 0.21/0.41 % (31246)Instruction limit reached!
% 0.21/0.41 % (31246)------------------------------
% 0.21/0.41 % (31246)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (31246)Termination reason: Unknown
% 0.21/0.41 % (31246)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (31246)Memory used [KB]: 5628
% 0.21/0.41 % (31246)Time elapsed: 0.013 s
% 0.21/0.41 % (31246)Instructions burned: 16 (million)
% 0.21/0.41 % (31246)------------------------------
% 0.21/0.41 % (31246)------------------------------
% 0.21/0.41 % (31252)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.42 % (31255)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (31255)Instruction limit reached!
% 0.21/0.42 % (31255)------------------------------
% 0.21/0.42 % (31255)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (31255)Termination reason: Unknown
% 0.21/0.42 % (31255)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (31255)Memory used [KB]: 1023
% 0.21/0.42 % (31255)Time elapsed: 0.007 s
% 0.21/0.42 % (31255)Instructions burned: 7 (million)
% 0.21/0.42 % (31255)------------------------------
% 0.21/0.42 % (31255)------------------------------
% 0.21/0.42 % (31245)Instruction limit reached!
% 0.21/0.42 % (31245)------------------------------
% 0.21/0.42 % (31245)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (31245)Termination reason: Unknown
% 0.21/0.42 % (31245)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (31245)Memory used [KB]: 5884
% 0.21/0.42 % (31245)Time elapsed: 0.024 s
% 0.21/0.42 % (31245)Instructions burned: 38 (million)
% 0.21/0.42 % (31245)------------------------------
% 0.21/0.42 % (31245)------------------------------
% 0.21/0.42 % (31259)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.43 % (31263)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (31263)Instruction limit reached!
% 0.21/0.43 % (31263)------------------------------
% 0.21/0.43 % (31263)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (31263)Termination reason: Unknown
% 0.21/0.43 % (31263)Termination phase: Function definition elimination
% 0.21/0.43
% 0.21/0.43 % (31263)Memory used [KB]: 1023
% 0.21/0.43 % (31263)Time elapsed: 0.004 s
% 0.21/0.43 % (31263)Instructions burned: 3 (million)
% 0.21/0.43 % (31263)------------------------------
% 0.21/0.43 % (31263)------------------------------
% 0.21/0.44 % (31259)Instruction limit reached!
% 0.21/0.44 % (31259)------------------------------
% 0.21/0.44 % (31259)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (31259)Termination reason: Unknown
% 0.21/0.44 % (31259)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (31259)Memory used [KB]: 5884
% 0.21/0.44 % (31259)Time elapsed: 0.014 s
% 0.21/0.44 % (31259)Instructions burned: 16 (million)
% 0.21/0.44 % (31259)------------------------------
% 0.21/0.44 % (31259)------------------------------
% 0.21/0.44 % (31266)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (31267)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.44 % (31266)Instruction limit reached!
% 0.21/0.44 % (31266)------------------------------
% 0.21/0.44 % (31266)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (31266)Termination reason: Unknown
% 0.21/0.44 % (31266)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (31266)Memory used [KB]: 1023
% 0.21/0.44 % (31266)Time elapsed: 0.005 s
% 0.21/0.44 % (31266)Instructions burned: 4 (million)
% 0.21/0.44 % (31266)------------------------------
% 0.21/0.44 % (31266)------------------------------
% 0.21/0.44 % (31267)Instruction limit reached!
% 0.21/0.44 % (31267)------------------------------
% 0.21/0.44 % (31267)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (31267)Termination reason: Unknown
% 0.21/0.44 % (31267)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (31267)Memory used [KB]: 5500
% 0.21/0.44 % (31267)Time elapsed: 0.007 s
% 0.21/0.44 % (31267)Instructions burned: 8 (million)
% 0.21/0.44 % (31267)------------------------------
% 0.21/0.44 % (31267)------------------------------
% 0.21/0.45 % (31270)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45 % (31273)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (31270)Instruction limit reached!
% 0.21/0.45 % (31270)------------------------------
% 0.21/0.45 % (31270)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (31270)Termination reason: Unknown
% 0.21/0.45 % (31270)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (31270)Memory used [KB]: 5500
% 0.21/0.45 % (31270)Time elapsed: 0.004 s
% 0.21/0.45 % (31270)Instructions burned: 4 (million)
% 0.21/0.45 % (31270)------------------------------
% 0.21/0.45 % (31270)------------------------------
% 0.21/0.46 % (31273)Instruction limit reached!
% 0.21/0.46 % (31273)------------------------------
% 0.21/0.46 % (31273)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (31273)Termination reason: Unknown
% 0.21/0.46 % (31273)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (31273)Memory used [KB]: 5500
% 0.21/0.46 % (31273)Time elapsed: 0.005 s
% 0.21/0.46 % (31273)Instructions burned: 5 (million)
% 0.21/0.46 % (31273)------------------------------
% 0.21/0.46 % (31273)------------------------------
% 0.21/0.46 % (31277)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.46 % (31278)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.47 % (31277)Instruction limit reached!
% 0.21/0.47 % (31277)------------------------------
% 0.21/0.47 % (31277)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (31277)Termination reason: Unknown
% 0.21/0.47 % (31277)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (31277)Memory used [KB]: 5628
% 0.21/0.47 % (31277)Time elapsed: 0.014 s
% 0.21/0.47 % (31277)Instructions burned: 18 (million)
% 0.21/0.47 % (31277)------------------------------
% 0.21/0.47 % (31277)------------------------------
% 0.21/0.47 % (31287)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47 % (31291)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.47 % (31287)Instruction limit reached!
% 0.21/0.47 % (31287)------------------------------
% 0.21/0.47 % (31287)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (31287)Termination reason: Unknown
% 0.21/0.47 % (31287)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (31287)Memory used [KB]: 5500
% 0.21/0.47 % (31287)Time elapsed: 0.006 s
% 0.21/0.47 % (31287)Instructions burned: 7 (million)
% 0.21/0.47 % (31287)------------------------------
% 0.21/0.47 % (31287)------------------------------
% 0.21/0.48 % (31252)First to succeed.
% 0.21/0.48 % (31252)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (31252)------------------------------
% 0.21/0.48 % (31252)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (31252)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (31252)Memory used [KB]: 6268
% 0.21/0.48 % (31252)Time elapsed: 0.068 s
% 0.21/0.48 % (31252)Instructions burned: 96 (million)
% 0.21/0.48 % (31252)------------------------------
% 0.21/0.48 % (31252)------------------------------
% 0.21/0.48 % (31236)Success in time 0.104 s
%------------------------------------------------------------------------------