TSTP Solution File: PHI004^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PHI004^4 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 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 : Tue May 21 02:18:42 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 24
% Syntax : Number of formulae : 89 ( 63 unt; 19 typ; 0 def)
% Number of atoms : 369 ( 62 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 942 ( 46 ~; 13 |; 13 &; 652 @)
% ( 0 <=>; 102 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 296 ( 296 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 15 usr; 11 con; 0-3 aty)
% ( 116 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 217 ( 175 ^ 41 !; 0 ?; 217 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
qML_mu: $tType ).
thf(type_def_6,type,
qML_i: $tType ).
thf(func_def_0,type,
qML_mu: $tType ).
thf(func_def_1,type,
qML_i: $tType ).
thf(func_def_2,type,
scott_G: qML_mu > qML_i > $o ).
thf(func_def_3,type,
scott_NE_QML_mu: qML_mu > qML_i > $o ).
thf(func_def_4,type,
scott_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
thf(func_def_5,type,
scott_ess_QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(func_def_23,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
sK2: qML_i > qML_mu ).
thf(func_def_25,type,
sK3: qML_i ).
thf(func_def_26,type,
sK4: qML_mu ).
thf(func_def_27,type,
sK5: qML_i ).
thf(func_def_28,type,
sK6: qML_mu ).
thf(func_def_29,type,
sK7: qML_mu > qML_i > $o ).
thf(func_def_30,type,
sK8: qML_mu ).
thf(func_def_31,type,
sK9: qML_i ).
thf(func_def_32,type,
sK10: qML_i ).
thf(func_def_33,type,
sK11: qML_mu ).
thf(f551,plain,
$false,
inference(trivial_inequality_removal,[],[f550]) ).
thf(f550,plain,
$false = $true,
inference(boolean_simplification,[],[f549]) ).
thf(f549,plain,
( $true = ~ $true ),
inference(forward_demodulation,[],[f536,f241]) ).
thf(f241,plain,
( ( sK7 @ sK6 @ sK5 )
= $true ),
inference(binary_proxy_clausification,[],[f239]) ).
thf(f239,plain,
( $false
= ( ( sK7 @ sK6 @ sK5 )
=> ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( sK7 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f238]) ).
thf(f238,plain,
( ( ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK6 @ sK5 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
@ sK7 )
= $false ),
inference(sigma_clausification,[],[f208]) ).
thf(f208,plain,
( $false
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK6 @ sK5 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f207]) ).
thf(f207,plain,
( $false
= ( $true
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK6 @ sK5 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f192,f205]) ).
thf(f205,plain,
( $true
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK5 )
=> ( Y0 @ sK6 @ sK5 ) ) ) ),
inference(not_proxy_clausification,[],[f194]) ).
thf(f194,plain,
( $false
= ( ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK5 )
=> ( Y0 @ sK6 @ sK5 ) ) ) ) ),
inference(boolean_simplification,[],[f193]) ).
thf(f193,plain,
( $false
= ( $false
| ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK5 )
=> ( Y0 @ sK6 @ sK5 ) ) ) ) ),
inference(backward_demodulation,[],[f188,f192]) ).
thf(f188,plain,
( $false
= ( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK5 )
=> ( Y0 @ sK6 @ sK5 ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK6 @ sK5 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) )
| ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK5 )
=> ( Y0 @ sK6 @ sK5 ) ) ) ) ),
inference(beta_eta_normalization,[],[f187]) ).
thf(f187,plain,
( $false
= ( ^ [Y0: qML_mu] :
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK5 )
=> ( Y1 @ Y0 @ sK5 ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1 @ Y0 @ sK5 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) )
| ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK5 )
=> ( Y1 @ Y0 @ sK5 ) ) ) )
@ sK6 ) ),
inference(sigma_clausification,[],[f183]) ).
thf(f183,plain,
( $false
= ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK5 )
=> ( Y1 @ Y0 @ sK5 ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( Y1 @ Y0 @ sK5 )
=> ( !! @ qML_mu
@ ^ [Y2: qML_mu] :
( !! @ qML_i
@ ^ [Y3: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) )
| ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ sK5 )
=> ( Y1 @ Y0 @ sK5 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f182]) ).
thf(f182,plain,
( $false
= ( ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( Y2 @ Y1 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y5: qML_mu > qML_i > $o] :
( ( scott_P @ Y5 @ Y4 )
=> ( Y5 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) )
| ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[],[f177]) ).
thf(f177,plain,
( $false
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( Y2 @ Y1 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y5: qML_mu > qML_i > $o] :
( ( scott_P @ Y5 @ Y4 )
=> ( Y5 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) )
| ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f56]) ).
thf(f56,plain,
( $true
= ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( Y2 @ Y1 @ Y0 )
=> ( !! @ qML_mu
@ ^ [Y3: qML_mu] :
( !! @ qML_i
@ ^ [Y4: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y5: qML_mu > qML_i > $o] :
( ( scott_P @ Y5 @ Y4 )
=> ( Y5 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) )
| ~ ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y0 )
=> ( Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f51]) ).
thf(f51,plain,
( $true
= ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( ^ [Y2: qML_mu > qML_i > $o,Y3: qML_mu,Y4: qML_i] :
( ( Y2 @ Y3 @ Y4 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y5: qML_mu > qML_i > $o] :
( ( Y5 @ Y3 @ Y4 )
=> ( !! @ qML_mu
@ ^ [Y6: qML_mu] :
( !! @ qML_i
@ ^ [Y7: qML_i] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) ) ) )
@ ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
@ Y1
@ Y0 )
| ~ ( ^ [Y2: qML_mu,Y3: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y4: qML_mu > qML_i > $o] :
( ( scott_P @ Y4 @ Y3 )
=> ( Y4 @ Y2 @ Y3 ) ) )
@ Y1
@ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f40,f43,f46,f46]) ).
thf(f46,plain,
( scott_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
( scott_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f16,plain,
( ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( scott_P @ X2 @ X1 )
=> ( X2 @ X0 @ X1 ) ) )
= scott_G ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: qML_mu,X1: qML_i] :
! [X2: qML_mu > qML_i > $o] :
( ( scott_P @ X2 @ X1 )
=> ( X2 @ X0 @ X1 ) ) )
= scott_G ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_G__def) ).
thf(f43,plain,
( scott_ess_QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( ( Y0 @ Y1 @ Y2 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !! @ qML_mu
@ ^ [Y4: qML_mu] :
( !! @ qML_i
@ ^ [Y5: qML_i] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
( scott_ess_QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( ( Y0 @ Y1 @ Y2 )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !! @ qML_mu
@ ^ [Y4: qML_mu] :
( !! @ qML_i
@ ^ [Y5: qML_i] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f28,plain,
( scott_ess_QML_mu
= ( ^ [X0: qML_mu > qML_i > $o,X1: qML_mu,X2: qML_i] :
( ! [X3: qML_mu > qML_i > $o] :
( ( X3 @ X1 @ X2 )
=> ! [X4: qML_i,X5: qML_mu] :
( ( X0 @ X5 @ X4 )
=> ( X3 @ X5 @ X4 ) ) )
& ( X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
( scott_ess_QML_mu
= ( ^ [X8: qML_mu > qML_i > $o,X0: qML_mu,X1: qML_i] :
( ! [X2: qML_mu > qML_i > $o] :
( ( X2 @ X0 @ X1 )
=> ! [X9: qML_i,X10: qML_mu] :
( ( X8 @ X10 @ X9 )
=> ( X2 @ X10 @ X9 ) ) )
& ( X8 @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_ess__def) ).
thf(f40,plain,
( $true
= ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( scott_ess_QML_mu @ scott_G @ Y1 @ Y0 )
| ~ ( scott_G @ Y1 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f27,plain,
( $true
= ( ~ ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( ( scott_ess_QML_mu @ scott_G @ Y1 @ Y0 )
| ~ ( scott_G @ Y1 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f26]) ).
thf(f26,plain,
~ ! [X0: qML_mu,X1: qML_i] :
( ~ ( scott_G @ X0 @ X1 )
| ( scott_ess_QML_mu @ scott_G @ X0 @ X1 ) ),
inference(rectify,[],[f12]) ).
thf(f12,negated_conjecture,
~ ! [X5: qML_mu,X14: qML_i] :
( ~ ( scott_G @ X5 @ X14 )
| ( scott_ess_QML_mu @ scott_G @ X5 @ X14 ) ),
inference(negated_conjecture,[],[f11]) ).
thf(f11,conjecture,
! [X5: qML_mu,X14: qML_i] :
( ~ ( scott_G @ X5 @ X14 )
| ( scott_ess_QML_mu @ scott_G @ X5 @ X14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f192,plain,
( $false
= ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK5 )
=> ( Y0 @ sK6 @ sK5 ) ) )
& ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ sK6 @ sK5 )
=> ( !! @ qML_mu
@ ^ [Y1: qML_mu] :
( !! @ qML_i
@ ^ [Y2: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( scott_P @ Y3 @ Y2 )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f188]) ).
thf(f536,plain,
( ( ~ ( sK7 @ sK6 @ sK5 ) )
= $true ),
inference(boolean_simplification,[],[f535]) ).
thf(f535,plain,
( $true
= ( $true
=> ~ ( sK7 @ sK6 @ sK5 ) ) ),
inference(beta_eta_normalization,[],[f510]) ).
thf(f510,plain,
( $true
= ( $true
=> ( ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK7 @ Y0 @ Y1 )
@ sK6
@ sK5 ) ) ),
inference(superposition,[],[f211,f492]) ).
thf(f492,plain,
! [X1: qML_i] :
( $true
= ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK7 @ Y0 @ Y1 )
@ X1 ) ),
inference(pi_clausification,[],[f419]) ).
thf(f419,plain,
( $true
= ( !! @ qML_i
@ ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK7 @ Y0 @ Y1 ) ) ) ),
inference(boolean_simplification,[],[f391]) ).
thf(f391,plain,
( $true
= ( $true
=> ( !! @ qML_i
@ ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK7 @ Y0 @ Y1 ) ) ) ) ),
inference(superposition,[],[f60,f356]) ).
thf(f356,plain,
( $true
= ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK7 @ Y0 @ Y1 )
@ sK9 ) ),
inference(boolean_simplification,[],[f355]) ).
thf(f355,plain,
( $true
= ( $true
=> ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( sK7 @ Y0 @ Y1 )
@ sK9 ) ) ),
inference(superposition,[],[f80,f328]) ).
thf(f328,plain,
( ( ~ ( scott_P @ sK7 @ sK9 ) )
= $true ),
inference(boolean_simplification,[],[f323]) ).
thf(f323,plain,
( $true
= ( ( scott_P @ sK7 @ sK9 )
=> $false ) ),
inference(superposition,[],[f307,f260]) ).
thf(f260,plain,
( $false
= ( sK7 @ sK8 @ sK9 ) ),
inference(binary_proxy_clausification,[],[f258]) ).
thf(f258,plain,
( $false
= ( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK9 )
=> ( Y0 @ sK8 @ sK9 ) ) )
=> ( sK7 @ sK8 @ sK9 ) ) ),
inference(beta_eta_normalization,[],[f257]) ).
thf(f257,plain,
( $false
= ( ^ [Y0: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ Y0 )
=> ( Y1 @ sK8 @ Y0 ) ) )
=> ( sK7 @ sK8 @ Y0 ) )
@ sK9 ) ),
inference(sigma_clausification,[],[f254]) ).
thf(f254,plain,
( $false
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ Y0 )
=> ( Y1 @ sK8 @ Y0 ) ) )
=> ( sK7 @ sK8 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f253]) ).
thf(f253,plain,
( $false
= ( ^ [Y0: qML_mu] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( sK7 @ Y0 @ Y1 ) ) )
@ sK8 ) ),
inference(sigma_clausification,[],[f240]) ).
thf(f240,plain,
( $false
= ( !! @ qML_mu
@ ^ [Y0: qML_mu] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( sK7 @ Y0 @ Y1 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f239]) ).
thf(f307,plain,
! [X1: qML_mu > qML_i > $o] :
( ( ( scott_P @ X1 @ sK9 )
=> ( X1 @ sK8 @ sK9 ) )
= $true ),
inference(beta_eta_normalization,[],[f306]) ).
thf(f306,plain,
! [X1: qML_mu > qML_i > $o] :
( $true
= ( ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK9 )
=> ( Y0 @ sK8 @ sK9 ) )
@ X1 ) ),
inference(pi_clausification,[],[f261]) ).
thf(f261,plain,
( $true
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK9 )
=> ( Y0 @ sK8 @ sK9 ) ) ) ),
inference(binary_proxy_clausification,[],[f258]) ).
thf(f80,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( $true
= ( ~ ( scott_P @ X2 @ X1 )
=> ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] :
~ ( X2 @ Y0 @ Y1 )
@ X1 ) ) ),
inference(beta_eta_normalization,[],[f79]) ).
thf(f79,plain,
! [X2: qML_mu > qML_i > $o,X1: qML_i] :
( $true
= ( ^ [Y0: qML_mu > qML_i > $o] :
( ~ ( scott_P @ Y0 @ X1 )
=> ( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] :
~ ( Y0 @ Y1 @ Y2 )
@ X1 ) )
@ X2 ) ),
inference(pi_clausification,[],[f78]) ).
thf(f78,plain,
! [X1: qML_i] :
( $true
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( ~ ( scott_P @ Y0 @ X1 )
=> ( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] :
~ ( Y0 @ Y1 @ Y2 )
@ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f77]) ).
thf(f77,plain,
! [X1: qML_i] :
( $true
= ( ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ~ ( scott_P @ Y1 @ Y0 )
=> ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y1 @ Y2 @ Y3 )
@ Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f41]) ).
thf(f41,plain,
( $true
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ~ ( scott_P @ Y1 @ Y0 )
=> ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y1 @ Y2 @ Y3 )
@ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f33,plain,
( $true
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y1: qML_mu > qML_i > $o] :
( ~ ( scott_P @ Y1 @ Y0 )
=> ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] :
~ ( Y1 @ Y2 @ Y3 )
@ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f32]) ).
thf(f32,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i] :
( ~ ( scott_P @ X0 @ X1 )
=> ( scott_P
@ ^ [X2: qML_mu,X3: qML_i] :
~ ( X0 @ X2 @ X3 )
@ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
! [X6: qML_mu > qML_i > $o,X3: qML_i] :
( ~ ( scott_P @ X6 @ X3 )
=> ( scott_P
@ ^ [X2: qML_mu,X10: qML_i] :
~ ( X6 @ X2 @ X10 )
@ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_A1b) ).
thf(f60,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( $true
= ( ( scott_P @ X1 @ X2 )
=> ( !! @ qML_i @ ( scott_P @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f59]) ).
thf(f59,plain,
! [X2: qML_i,X1: qML_mu > qML_i > $o] :
( ( ^ [Y0: qML_i] :
( ( scott_P @ X1 @ Y0 )
=> ( !! @ qML_i @ ( scott_P @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f58]) ).
thf(f58,plain,
! [X1: qML_mu > qML_i > $o] :
( $true
= ( !! @ qML_i
@ ^ [Y0: qML_i] :
( ( scott_P @ X1 @ Y0 )
=> ( !! @ qML_i @ ( scott_P @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f57]) ).
thf(f57,plain,
! [X1: qML_mu > qML_i > $o] :
( $true
= ( ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( scott_P @ Y0 @ Y1 )
=> ( !! @ qML_i @ ( scott_P @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f55]) ).
thf(f55,plain,
( $true
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( scott_P @ Y0 @ Y1 )
=> ( !! @ qML_i @ ( scott_P @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f45]) ).
thf(f45,plain,
( $true
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( scott_P @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] : ( scott_P @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( $true
= ( !! @ ( qML_mu > qML_i > $o )
@ ^ [Y0: qML_mu > qML_i > $o] :
( !! @ qML_i
@ ^ [Y1: qML_i] :
( ( scott_P @ Y0 @ Y1 )
=> ( !! @ qML_i
@ ^ [Y2: qML_i] : ( scott_P @ Y0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f14,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o] :
( ( scott_P @ X1 @ X0 )
=> ! [X2: qML_i] : ( scott_P @ X1 @ X2 ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X3: qML_i,X6: qML_mu > qML_i > $o] :
( ( scott_P @ X6 @ X3 )
=> ! [X7: qML_i] : ( scott_P @ X6 @ X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_A4) ).
thf(f211,plain,
! [X1: qML_mu > qML_i > $o] :
( $true
= ( ( scott_P @ X1 @ sK5 )
=> ( X1 @ sK6 @ sK5 ) ) ),
inference(beta_eta_normalization,[],[f210]) ).
thf(f210,plain,
! [X1: qML_mu > qML_i > $o] :
( $true
= ( ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ sK5 )
=> ( Y0 @ sK6 @ sK5 ) )
@ X1 ) ),
inference(pi_clausification,[],[f205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PHI004^4 : TPTP v8.2.0. Released v6.4.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 14:43:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (16156)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (16150)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (16152)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)
% 0.13/0.37 % (16153)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (16151)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)
% 0.13/0.37 % (16154)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)
% 0.13/0.37 % (16155)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)
% 0.13/0.37 % (16153)Instruction limit reached!
% 0.13/0.37 % (16153)------------------------------
% 0.13/0.37 % (16153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (16153)Termination reason: Unknown
% 0.13/0.37 % (16154)Instruction limit reached!
% 0.13/0.37 % (16154)------------------------------
% 0.13/0.37 % (16154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (16154)Termination reason: Unknown
% 0.13/0.37 % (16154)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (16154)Memory used [KB]: 1023
% 0.13/0.37 % (16154)Time elapsed: 0.003 s
% 0.13/0.37 % (16154)Instructions burned: 2 (million)
% 0.13/0.37 % (16154)------------------------------
% 0.13/0.37 % (16154)------------------------------
% 0.13/0.37 % (16153)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (16153)Memory used [KB]: 1023
% 0.13/0.37 % (16153)Time elapsed: 0.003 s
% 0.13/0.37 % (16153)Instructions burned: 2 (million)
% 0.13/0.37 % (16153)------------------------------
% 0.13/0.37 % (16153)------------------------------
% 0.13/0.37 % (16157)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)
% 0.13/0.37 % (16151)Instruction limit reached!
% 0.13/0.37 % (16151)------------------------------
% 0.13/0.37 % (16151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (16151)Termination reason: Unknown
% 0.13/0.37 % (16151)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (16151)Memory used [KB]: 1023
% 0.13/0.37 % (16151)Time elapsed: 0.004 s
% 0.13/0.37 % (16151)Instructions burned: 4 (million)
% 0.13/0.37 % (16151)------------------------------
% 0.13/0.37 % (16151)------------------------------
% 0.13/0.37 % (16155)Refutation not found, incomplete strategy
% 0.13/0.37 % (16155)------------------------------
% 0.13/0.37 % (16155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (16155)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (16155)Memory used [KB]: 5500
% 0.13/0.37 % (16155)Time elapsed: 0.004 s
% 0.13/0.37 % (16155)Instructions burned: 3 (million)
% 0.13/0.37 % (16155)------------------------------
% 0.13/0.37 % (16155)------------------------------
% 0.13/0.37 % (16157)Instruction limit reached!
% 0.13/0.37 % (16157)------------------------------
% 0.13/0.37 % (16157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (16157)Termination reason: Unknown
% 0.13/0.37 % (16157)Termination phase: Function definition elimination
% 0.13/0.37
% 0.13/0.37 % (16157)Memory used [KB]: 1023
% 0.13/0.37 % (16157)Time elapsed: 0.004 s
% 0.13/0.37 % (16157)Instructions burned: 4 (million)
% 0.13/0.37 % (16157)------------------------------
% 0.13/0.37 % (16157)------------------------------
% 0.13/0.38 % (16156)Instruction limit reached!
% 0.13/0.38 % (16156)------------------------------
% 0.13/0.38 % (16156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (16156)Termination reason: Unknown
% 0.13/0.38 % (16156)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (16156)Memory used [KB]: 5628
% 0.13/0.38 % (16156)Time elapsed: 0.012 s
% 0.13/0.38 % (16156)Instructions burned: 19 (million)
% 0.13/0.38 % (16156)------------------------------
% 0.13/0.38 % (16156)------------------------------
% 0.13/0.38 % (16158)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)
% 0.13/0.38 % (16159)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)
% 0.13/0.39 % (16152)Instruction limit reached!
% 0.13/0.39 % (16152)------------------------------
% 0.13/0.39 % (16152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (16152)Termination reason: Unknown
% 0.13/0.39 % (16152)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (16152)Memory used [KB]: 5756
% 0.13/0.39 % (16152)Time elapsed: 0.019 s
% 0.13/0.39 % (16152)Instructions burned: 28 (million)
% 0.13/0.39 % (16152)------------------------------
% 0.13/0.39 % (16152)------------------------------
% 0.13/0.39 % (16161)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)
% 0.13/0.39 % (16162)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39 % (16162)Instruction limit reached!
% 0.13/0.39 % (16162)------------------------------
% 0.13/0.39 % (16162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (16162)Termination reason: Unknown
% 0.13/0.39 % (16162)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (16162)Memory used [KB]: 1023
% 0.13/0.39 % (16162)Time elapsed: 0.006 s
% 0.13/0.39 % (16162)Instructions burned: 7 (million)
% 0.13/0.39 % (16162)------------------------------
% 0.13/0.39 % (16162)------------------------------
% 0.13/0.39 % (16160)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)
% 0.13/0.39 % (16163)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.39 % (16160)Instruction limit reached!
% 0.13/0.39 % (16160)------------------------------
% 0.13/0.39 % (16160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (16160)Termination reason: Unknown
% 0.13/0.39 % (16160)Termination phase: Property scanning
% 0.13/0.39
% 0.13/0.39 % (16160)Memory used [KB]: 1023
% 0.13/0.39 % (16160)Time elapsed: 0.003 s
% 0.13/0.39 % (16160)Instructions burned: 3 (million)
% 0.13/0.39 % (16160)------------------------------
% 0.13/0.39 % (16160)------------------------------
% 0.13/0.39 % (16159)Instruction limit reached!
% 0.13/0.39 % (16159)------------------------------
% 0.13/0.39 % (16159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (16159)Termination reason: Unknown
% 0.13/0.39 % (16159)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (16159)Memory used [KB]: 5628
% 0.13/0.39 % (16159)Time elapsed: 0.011 s
% 0.13/0.39 % (16159)Instructions burned: 15 (million)
% 0.13/0.39 % (16159)------------------------------
% 0.13/0.39 % (16159)------------------------------
% 0.13/0.40 % (16164)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)
% 0.13/0.40 % (16164)Instruction limit reached!
% 0.13/0.40 % (16164)------------------------------
% 0.13/0.40 % (16164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (16164)Termination reason: Unknown
% 0.13/0.40 % (16164)Termination phase: Function definition elimination
% 0.13/0.40
% 0.13/0.40 % (16164)Memory used [KB]: 1023
% 0.13/0.40 % (16164)Time elapsed: 0.004 s
% 0.13/0.40 % (16164)Instructions burned: 4 (million)
% 0.13/0.40 % (16164)------------------------------
% 0.13/0.40 % (16164)------------------------------
% 0.13/0.40 % (16158)Instruction limit reached!
% 0.13/0.40 % (16158)------------------------------
% 0.13/0.40 % (16158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (16163)Instruction limit reached!
% 0.13/0.40 % (16163)------------------------------
% 0.13/0.40 % (16163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (16163)Termination reason: Unknown
% 0.13/0.40 % (16163)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (16163)Memory used [KB]: 5756
% 0.13/0.40 % (16163)Time elapsed: 0.013 s
% 0.13/0.40 % (16163)Instructions burned: 16 (million)
% 0.13/0.40 % (16163)------------------------------
% 0.13/0.40 % (16163)------------------------------
% 0.13/0.40 % (16158)Termination reason: Unknown
% 0.13/0.40 % (16158)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (16158)Memory used [KB]: 6140
% 0.13/0.40 % (16158)Time elapsed: 0.021 s
% 0.13/0.40 % (16158)Instructions burned: 38 (million)
% 0.13/0.40 % (16158)------------------------------
% 0.13/0.40 % (16158)------------------------------
% 0.13/0.41 % (16165)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)
% 0.13/0.41 % (16167)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)
% 0.13/0.41 % (16165)Instruction limit reached!
% 0.13/0.41 % (16165)------------------------------
% 0.13/0.41 % (16165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (16165)Termination reason: Unknown
% 0.13/0.41 % (16165)Termination phase: Function definition elimination
% 0.13/0.41
% 0.13/0.41 % (16165)Memory used [KB]: 1023
% 0.13/0.41 % (16165)Time elapsed: 0.004 s
% 0.13/0.41 % (16165)Instructions burned: 4 (million)
% 0.13/0.41 % (16165)------------------------------
% 0.13/0.41 % (16165)------------------------------
% 0.13/0.41 % (16167)Instruction limit reached!
% 0.13/0.41 % (16167)------------------------------
% 0.13/0.41 % (16167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (16167)Termination reason: Unknown
% 0.13/0.41 % (16167)Termination phase: Saturation
% 0.13/0.41
% 0.13/0.41 % (16167)Memory used [KB]: 5500
% 0.13/0.41 % (16167)Time elapsed: 0.005 s
% 0.13/0.41 % (16167)Instructions burned: 7 (million)
% 0.13/0.41 % (16167)------------------------------
% 0.13/0.41 % (16167)------------------------------
% 0.13/0.42 % (16169)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.42 % (16168)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)
% 0.20/0.42 % (16170)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)
% 0.20/0.42 % (16171)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.42 % (16168)Instruction limit reached!
% 0.20/0.42 % (16168)------------------------------
% 0.20/0.42 % (16168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (16168)Termination reason: Unknown
% 0.20/0.42 % (16168)Termination phase: Preprocessing 3
% 0.20/0.42
% 0.20/0.42 % (16168)Memory used [KB]: 1023
% 0.20/0.42 % (16169)Instruction limit reached!
% 0.20/0.42 % (16169)------------------------------
% 0.20/0.42 % (16169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (16168)Time elapsed: 0.004 s
% 0.20/0.42 % (16168)Instructions burned: 3 (million)
% 0.20/0.42 % (16168)------------------------------
% 0.20/0.42 % (16168)------------------------------
% 0.20/0.42 % (16169)Termination reason: Unknown
% 0.20/0.42 % (16169)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (16169)Memory used [KB]: 1023
% 0.20/0.42 % (16169)Time elapsed: 0.004 s
% 0.20/0.42 % (16169)Instructions burned: 4 (million)
% 0.20/0.42 % (16169)------------------------------
% 0.20/0.42 % (16169)------------------------------
% 0.20/0.42 % (16172)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.42 % (16173)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)
% 0.20/0.43 % (16173)Refutation not found, incomplete strategy
% 0.20/0.43 % (16173)------------------------------
% 0.20/0.43 % (16173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16173)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % (16173)Memory used [KB]: 5500
% 0.20/0.43 % (16173)Time elapsed: 0.004 s
% 0.20/0.43 % (16173)Instructions burned: 3 (million)
% 0.20/0.43 % (16173)------------------------------
% 0.20/0.43 % (16173)------------------------------
% 0.20/0.43 % (16172)Instruction limit reached!
% 0.20/0.43 % (16172)------------------------------
% 0.20/0.43 % (16172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16172)Termination reason: Unknown
% 0.20/0.43 % (16172)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (16172)Memory used [KB]: 5500
% 0.20/0.43 % (16172)Time elapsed: 0.005 s
% 0.20/0.43 % (16172)Instructions burned: 6 (million)
% 0.20/0.43 % (16172)------------------------------
% 0.20/0.43 % (16172)------------------------------
% 0.20/0.43 % (16170)Instruction limit reached!
% 0.20/0.43 % (16170)------------------------------
% 0.20/0.43 % (16170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16170)Termination reason: Unknown
% 0.20/0.43 % (16170)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (16170)Memory used [KB]: 5628
% 0.20/0.43 % (16170)Time elapsed: 0.014 s
% 0.20/0.43 % (16170)Instructions burned: 19 (million)
% 0.20/0.43 % (16170)------------------------------
% 0.20/0.43 % (16170)------------------------------
% 0.20/0.43 % (16176)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.43 % (16174)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.43 % (16175)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.43 % (16176)Instruction limit reached!
% 0.20/0.43 % (16176)------------------------------
% 0.20/0.43 % (16176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16176)Termination reason: Unknown
% 0.20/0.43 % (16176)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (16176)Memory used [KB]: 5500
% 0.20/0.44 % (16176)Time elapsed: 0.003 s
% 0.20/0.44 % (16176)Instructions burned: 6 (million)
% 0.20/0.44 % (16176)------------------------------
% 0.20/0.44 % (16176)------------------------------
% 0.20/0.44 % (16175)Instruction limit reached!
% 0.20/0.44 % (16175)------------------------------
% 0.20/0.44 % (16175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (16175)Termination reason: Unknown
% 0.20/0.44 % (16175)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (16175)Memory used [KB]: 5500
% 0.20/0.44 % (16175)Time elapsed: 0.005 s
% 0.20/0.44 % (16175)Instructions burned: 6 (million)
% 0.20/0.44 % (16175)------------------------------
% 0.20/0.44 % (16175)------------------------------
% 0.20/0.44 % (16177)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.44 % (16179)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.45 % (16178)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.45 % (16179)Refutation not found, incomplete strategy
% 0.20/0.45 % (16179)------------------------------
% 0.20/0.45 % (16179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (16179)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (16179)Memory used [KB]: 5500
% 0.20/0.45 % (16179)Time elapsed: 0.025 s
% 0.20/0.45 % (16179)Instructions burned: 9 (million)
% 0.20/0.45 % (16179)------------------------------
% 0.20/0.45 % (16179)------------------------------
% 0.20/0.45 % (16174)Instruction limit reached!
% 0.20/0.45 % (16174)------------------------------
% 0.20/0.45 % (16174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (16174)Termination reason: Unknown
% 0.20/0.45 % (16174)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (16174)Memory used [KB]: 5628
% 0.20/0.45 % (16174)Time elapsed: 0.038 s
% 0.20/0.45 % (16174)Instructions burned: 22 (million)
% 0.20/0.45 % (16174)------------------------------
% 0.20/0.45 % (16174)------------------------------
% 0.20/0.45 % (16180)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.45 % (16181)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.46 % (16161)First to succeed.
% 0.20/0.46 % (16181)Instruction limit reached!
% 0.20/0.46 % (16181)------------------------------
% 0.20/0.46 % (16181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (16181)Termination reason: Unknown
% 0.20/0.46 % (16181)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (16181)Memory used [KB]: 5756
% 0.20/0.46 % (16181)Time elapsed: 0.028 s
% 0.20/0.46 % (16181)Instructions burned: 17 (million)
% 0.20/0.46 % (16181)------------------------------
% 0.20/0.46 % (16181)------------------------------
% 0.20/0.46 % (16182)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.46 % (16161)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (16161)------------------------------
% 0.20/0.46 % (16161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (16161)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (16161)Memory used [KB]: 6140
% 0.20/0.46 % (16161)Time elapsed: 0.078 s
% 0.20/0.46 % (16161)Instructions burned: 121 (million)
% 0.20/0.46 % (16161)------------------------------
% 0.20/0.46 % (16161)------------------------------
% 0.20/0.46 % (16149)Success in time 0.086 s
% 0.20/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------