TSTP Solution File: ALG256^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG256^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 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 : n007.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 May 20 18:20:14 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 28
% Syntax : Number of formulae : 86 ( 58 unt; 22 typ; 0 def)
% Number of atoms : 306 ( 148 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 657 ( 10 ~; 4 |; 0 &; 503 @)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 22 usr; 14 con; 0-4 aty)
% ( 90 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 193 ( 139 ^ 54 !; 0 ?; 193 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
term: $tType ).
thf(type_def_7,type,
subst: $tType ).
thf(func_def_0,type,
term: $tType ).
thf(func_def_1,type,
subst: $tType ).
thf(func_def_2,type,
one: term ).
thf(func_def_3,type,
ap: term > term > term ).
thf(func_def_4,type,
lam: term > term ).
thf(func_def_5,type,
sub: term > subst > term ).
thf(func_def_6,type,
id: subst ).
thf(func_def_7,type,
sh: subst ).
thf(func_def_8,type,
push: term > subst > subst ).
thf(func_def_9,type,
comp: subst > subst > subst ).
thf(func_def_10,type,
var: term > $o ).
thf(func_def_18,type,
hoasap: subst > term > subst > term > term ).
thf(func_def_73,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(func_def_86,type,
hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).
thf(func_def_107,type,
hoasvar: subst > term > subst > $o ).
thf(func_def_121,type,
pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).
thf(func_def_142,type,
sK1: term ).
thf(func_def_143,type,
sK2: term ).
thf(func_def_144,type,
sK3: term ).
thf(func_def_145,type,
sK4: term ).
thf(f568,plain,
$false,
inference(subsumption_resolution,[],[f567,f554]) ).
thf(f554,plain,
sK1 != sK2,
inference(equality_proxy_clausification,[],[f551]) ).
thf(f551,plain,
( ( sK2 = sK1 )
= $false ),
inference(binary_proxy_clausification,[],[f550]) ).
thf(f550,plain,
( $false
= ( ( ( ap @ ( sub @ sK2 @ id ) @ sK4 )
= ( ap @ ( sub @ sK1 @ id ) @ sK3 ) )
=> ( sK2 = sK1 ) ) ),
inference(beta_eta_normalization,[],[f549]) ).
thf(f549,plain,
( ( ^ [Y0: term] :
( ( ( ap @ ( sub @ sK2 @ id ) @ Y0 )
= ( ap @ ( sub @ sK1 @ id ) @ sK3 ) )
=> ( sK2 = sK1 ) )
@ sK4 )
= $false ),
inference(sigma_clausification,[],[f548]) ).
thf(f548,plain,
( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( ( ap @ ( sub @ sK2 @ id ) @ Y0 )
= ( ap @ ( sub @ sK1 @ id ) @ sK3 ) )
=> ( sK2 = sK1 ) ) ) ),
inference(beta_eta_normalization,[],[f547]) ).
thf(f547,plain,
( $false
= ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ ( sub @ sK2 @ id ) @ Y1 )
= ( ap @ ( sub @ sK1 @ id ) @ Y0 ) )
=> ( sK2 = sK1 ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f546]) ).
thf(f546,plain,
( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ ( sub @ sK2 @ id ) @ Y1 )
= ( ap @ ( sub @ sK1 @ id ) @ Y0 ) )
=> ( sK2 = sK1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f545]) ).
thf(f545,plain,
( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ Y2 )
= ( ap @ ( sub @ sK1 @ id ) @ Y1 ) )
=> ( Y0 = sK1 ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f544]) ).
thf(f544,plain,
( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ ( sub @ Y0 @ id ) @ Y2 )
= ( ap @ ( sub @ sK1 @ id ) @ Y1 ) )
=> ( Y0 = sK1 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f543]) ).
thf(f543,plain,
( $false
= ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y1 @ id ) @ Y3 )
= ( ap @ ( sub @ Y0 @ id ) @ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) )
@ sK1 ) ),
inference(sigma_clausification,[],[f530]) ).
thf(f530,plain,
( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y1 @ id ) @ Y3 )
= ( ap @ ( sub @ Y0 @ id ) @ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f525]) ).
thf(f525,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y0 )
= ( ap @ Y2 @ Y1 ) )
=> ( Y3 = Y2 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y1 @ id ) @ Y3 )
= ( ap @ ( sub @ Y0 @ id ) @ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f524]) ).
thf(f524,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y0 )
= ( ap @ Y2 @ Y1 ) )
=> ( Y3 = Y2 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ ( sub @ Y1 @ id ) @ Y3 )
= ( ap @ ( sub @ Y0 @ id ) @ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ) )
!= $true ),
inference(beta_eta_normalization,[],[f523]) ).
thf(f523,plain,
( ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y0 )
= ( ap @ Y2 @ Y1 ) )
=> ( Y3 = Y2 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y1
@ id
@ Y3 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y0
@ id
@ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f432,f497]) ).
thf(f497,plain,
( hoasapinj1_lthm
= ( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y0 )
= ( ap @ Y2 @ Y1 ) )
=> ( Y3 = Y2 ) ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y1
@ id
@ Y3 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y0
@ id
@ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f381,f417,f434,f451]) ).
thf(f451,plain,
( hoasapinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y1
@ id
@ Y3 )
= ( ^ [Y4: subst,Y5: term,Y6: subst,Y7: term] : ( ap @ ( sub @ Y5 @ Y6 ) @ Y7 )
@ id
@ Y0
@ id
@ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f354,f372,f372]) ).
thf(f372,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f221]) ).
thf(f221,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f220]) ).
thf(f220,plain,
( ( ^ [X0: subst,X1: term,X2: subst,X3: term] : ( ap @ ( sub @ X1 @ X2 ) @ X3 ) )
= hoasap ),
inference(rectify,[],[f55]) ).
thf(f55,axiom,
( ( ^ [X2: subst,X0: term,X3: subst,X1: term] : ( ap @ ( sub @ X0 @ X3 ) @ X1 ) )
= hoasap ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasap) ).
thf(f354,plain,
( hoasapinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( hoasap @ id @ Y1 @ id @ Y3 )
= ( hoasap @ id @ Y0 @ id @ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f126]) ).
thf(f126,plain,
( hoasapinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( hoasap @ id @ Y1 @ id @ Y3 )
= ( hoasap @ id @ Y0 @ id @ Y2 ) )
=> ( Y1 = Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f125]) ).
thf(f125,plain,
! [X0: term,X1: term,X2: term,X3: term] :
( ( ( ( hoasap @ id @ X2 @ id @ X0 )
= ( hoasap @ id @ X3 @ id @ X1 ) )
=> ( X2 = X3 ) )
= hoasapinj1 ),
inference(rectify,[],[f58]) ).
thf(f58,axiom,
! [X7: term,X6: term,X1: term,X0: term] :
( ( ( ( hoasap @ id @ X0 @ id @ X6 )
= ( hoasap @ id @ X1 @ id @ X7 ) )
=> ( X0 = X1 ) )
= hoasapinj1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapinj1) ).
thf(f434,plain,
( apinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y0 )
= ( ap @ Y2 @ Y1 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f273]) ).
thf(f273,plain,
( apinj1
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y0 )
= ( ap @ Y2 @ Y1 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f272]) ).
thf(f272,plain,
( apinj1
= ( ! [X0: term,X1: term,X2: term,X3: term] :
( ( ( ap @ X0 @ X3 )
= ( ap @ X1 @ X2 ) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f16,axiom,
( apinj1
= ( ! [X1: term,X0: term,X6: term,X7: term] :
( ( ( ap @ X0 @ X6 )
= ( ap @ X1 @ X7 ) )
=> ( X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apinj1) ).
thf(f417,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(cnf_transformation,[],[f199]) ).
thf(f199,plain,
( axvarid
= ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f3,axiom,
( axvarid
= ( ! [X0: term] :
( ( sub @ X0 @ id )
= X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axvarid) ).
thf(f381,plain,
( hoasapinj1_lthm
= ( axvarid
=> ( apinj1
=> hoasapinj1 ) ) ),
inference(cnf_transformation,[],[f326]) ).
thf(f326,plain,
( hoasapinj1_lthm
= ( axvarid
=> ( apinj1
=> hoasapinj1 ) ) ),
inference(fool_elimination,[],[f325]) ).
thf(f325,plain,
( axvarid
=> ( ( apinj1
=> hoasapinj1 )
= hoasapinj1_lthm ) ),
inference(rectify,[],[f60]) ).
thf(f60,axiom,
( axvarid
=> ( ( apinj1
=> hoasapinj1 )
= hoasapinj1_lthm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasapinj1_lthm) ).
thf(f432,plain,
hoasapinj1_lthm != $true,
inference(cnf_transformation,[],[f331]) ).
thf(f331,plain,
hoasapinj1_lthm != $true,
inference(flattening,[],[f255]) ).
thf(f255,plain,
hoasapinj1_lthm != $true,
inference(fool_elimination,[],[f254]) ).
thf(f254,plain,
~ hoasapinj1_lthm,
inference(rectify,[],[f115]) ).
thf(f115,negated_conjecture,
~ hoasapinj1_lthm,
inference(negated_conjecture,[],[f114]) ).
thf(f114,conjecture,
hoasapinj1_lthm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f567,plain,
sK1 = sK2,
inference(equality_resolution,[],[f562]) ).
thf(f562,plain,
! [X0: term,X1: term] :
( ( ( ap @ X0 @ X1 )
!= ( ap @ sK1 @ sK3 ) )
| ( sK2 = X0 ) ),
inference(superposition,[],[f542,f559]) ).
thf(f559,plain,
( ( ap @ sK1 @ sK3 )
= ( ap @ sK2 @ sK4 ) ),
inference(superposition,[],[f556,f529]) ).
thf(f529,plain,
! [X1: term] :
( ( sub @ X1 @ id )
= X1 ),
inference(equality_proxy_clausification,[],[f528]) ).
thf(f528,plain,
! [X1: term] :
( ( ( sub @ X1 @ id )
= X1 )
= $true ),
inference(beta_eta_normalization,[],[f527]) ).
thf(f527,plain,
! [X1: term] :
( ( ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 )
@ X1 )
= $true ),
inference(pi_clausification,[],[f526]) ).
thf(f526,plain,
( ( !! @ term
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
= $true ),
inference(binary_proxy_clausification,[],[f524]) ).
thf(f556,plain,
( ( ap @ ( sub @ sK1 @ id ) @ sK3 )
= ( ap @ sK2 @ sK4 ) ),
inference(superposition,[],[f553,f529]) ).
thf(f553,plain,
( ( ap @ ( sub @ sK1 @ id ) @ sK3 )
= ( ap @ ( sub @ sK2 @ id ) @ sK4 ) ),
inference(equality_proxy_clausification,[],[f552]) ).
thf(f552,plain,
( ( ( ap @ ( sub @ sK2 @ id ) @ sK4 )
= ( ap @ ( sub @ sK1 @ id ) @ sK3 ) )
= $true ),
inference(binary_proxy_clausification,[],[f550]) ).
thf(f542,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ap @ X4 @ X1 )
!= ( ap @ X3 @ X2 ) )
| ( X3 = X4 ) ),
inference(equality_proxy_clausification,[],[f541]) ).
thf(f541,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( X3 = X4 )
| ( ( ( ap @ X4 @ X1 )
= ( ap @ X3 @ X2 ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f540]) ).
thf(f540,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( X4 = X3 )
= $true )
| ( ( ( ap @ X4 @ X1 )
= ( ap @ X3 @ X2 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f539]) ).
thf(f539,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ( ( ap @ X4 @ X1 )
= ( ap @ X3 @ X2 ) )
=> ( X4 = X3 ) )
= $true ),
inference(beta_eta_normalization,[],[f538]) ).
thf(f538,plain,
! [X2: term,X3: term,X1: term,X4: term] :
( ( ^ [Y0: term] :
( ( ( ap @ Y0 @ X1 )
= ( ap @ X3 @ X2 ) )
=> ( Y0 = X3 ) )
@ X4 )
= $true ),
inference(pi_clausification,[],[f537]) ).
thf(f537,plain,
! [X2: term,X3: term,X1: term] :
( ( !! @ term
@ ^ [Y0: term] :
( ( ( ap @ Y0 @ X1 )
= ( ap @ X3 @ X2 ) )
=> ( Y0 = X3 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f536]) ).
thf(f536,plain,
! [X2: term,X3: term,X1: term] :
( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ Y1 @ X1 )
= ( ap @ Y0 @ X2 ) )
=> ( Y1 = Y0 ) ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f535]) ).
thf(f535,plain,
! [X2: term,X1: term] :
( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ( ap @ Y1 @ X1 )
= ( ap @ Y0 @ X2 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f534]) ).
thf(f534,plain,
! [X2: term,X1: term] :
( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ Y2 @ X1 )
= ( ap @ Y1 @ Y0 ) )
=> ( Y2 = Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f533]) ).
thf(f533,plain,
! [X1: term] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ( ap @ Y2 @ X1 )
= ( ap @ Y1 @ Y0 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f532]) ).
thf(f532,plain,
! [X1: term] :
( ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y0 )
= ( ap @ Y2 @ Y1 ) )
=> ( Y3 = Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f531]) ).
thf(f531,plain,
( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( !! @ term
@ ^ [Y3: term] :
( ( ( ap @ Y3 @ Y0 )
= ( ap @ Y2 @ Y1 ) )
=> ( Y3 = Y2 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG256^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.10/0.14 % 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
% 0.15/0.34 % Computer : n007.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat May 18 22:46:53 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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
% 0.15/0.37 % (22499)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.37 % (22499)Instruction limit reached!
% 0.15/0.37 % (22499)------------------------------
% 0.15/0.37 % (22499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (22499)Termination reason: Unknown
% 0.15/0.37 % (22499)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (22499)Memory used [KB]: 1279
% 0.15/0.37 % (22499)Time elapsed: 0.003 s
% 0.15/0.37 % (22499)Instructions burned: 4 (million)
% 0.15/0.37 % (22499)------------------------------
% 0.15/0.37 % (22499)------------------------------
% 0.15/0.38 % (22496)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38 % (22497)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)
% 0.15/0.38 % (22498)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)
% 0.15/0.38 % (22500)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)
% 0.15/0.38 % (22501)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)
% 0.15/0.38 % (22502)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (22503)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)
% 0.15/0.38 % (22500)Instruction limit reached!
% 0.15/0.38 % (22500)------------------------------
% 0.15/0.38 % (22500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (22500)Termination reason: Unknown
% 0.15/0.38 % (22500)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (22500)Memory used [KB]: 1279
% 0.15/0.38 % (22500)Time elapsed: 0.004 s
% 0.15/0.38 % (22500)Instructions burned: 3 (million)
% 0.15/0.38 % (22500)------------------------------
% 0.15/0.38 % (22500)------------------------------
% 0.15/0.38 % (22503)Instruction limit reached!
% 0.15/0.38 % (22503)------------------------------
% 0.15/0.38 % (22503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (22503)Termination reason: Unknown
% 0.15/0.38 % (22503)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (22503)Memory used [KB]: 1279
% 0.15/0.38 % (22503)Time elapsed: 0.004 s
% 0.15/0.38 % (22503)Instructions burned: 3 (million)
% 0.15/0.38 % (22503)------------------------------
% 0.15/0.38 % (22503)------------------------------
% 0.15/0.38 % (22497)Instruction limit reached!
% 0.15/0.38 % (22497)------------------------------
% 0.15/0.38 % (22497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (22497)Termination reason: Unknown
% 0.15/0.38 % (22497)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (22497)Memory used [KB]: 1279
% 0.15/0.38 % (22497)Time elapsed: 0.005 s
% 0.15/0.38 % (22497)Instructions burned: 5 (million)
% 0.15/0.38 % (22497)------------------------------
% 0.15/0.38 % (22497)------------------------------
% 0.15/0.39 % (22504)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)
% 0.15/0.39 % (22502)Instruction limit reached!
% 0.15/0.39 % (22502)------------------------------
% 0.15/0.39 % (22502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (22502)Termination reason: Unknown
% 0.15/0.39 % (22502)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (22502)Memory used [KB]: 1663
% 0.15/0.39 % (22502)Time elapsed: 0.013 s
% 0.15/0.39 % (22502)Instructions burned: 18 (million)
% 0.15/0.39 % (22502)------------------------------
% 0.15/0.39 % (22502)------------------------------
% 0.15/0.39 % (22498)Instruction limit reached!
% 0.15/0.39 % (22498)------------------------------
% 0.15/0.39 % (22498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (22498)Termination reason: Unknown
% 0.15/0.39 % (22498)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (22498)Memory used [KB]: 1791
% 0.15/0.39 % (22498)Time elapsed: 0.015 s
% 0.15/0.39 % (22498)Instructions burned: 27 (million)
% 0.15/0.39 % (22498)------------------------------
% 0.15/0.39 % (22498)------------------------------
% 0.15/0.39 % (22501)Refutation not found, incomplete strategy
% 0.15/0.39 % (22501)------------------------------
% 0.15/0.39 % (22501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (22501)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 % (22501)Memory used [KB]: 6140
% 0.15/0.39 % (22501)Time elapsed: 0.017 s
% 0.15/0.39 % (22501)Instructions burned: 25 (million)
% 0.15/0.39 % (22501)------------------------------
% 0.15/0.39 % (22501)------------------------------
% 0.15/0.39 % (22505)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)
% 0.15/0.39 % (22506)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)
% 0.15/0.39 % (22507)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)
% 0.15/0.40 % (22506)Instruction limit reached!
% 0.15/0.40 % (22506)------------------------------
% 0.15/0.40 % (22506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22506)Termination reason: Unknown
% 0.15/0.40 % (22506)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (22506)Memory used [KB]: 1279
% 0.15/0.40 % (22506)Time elapsed: 0.004 s
% 0.15/0.40 % (22506)Instructions burned: 3 (million)
% 0.15/0.40 % (22506)------------------------------
% 0.15/0.40 % (22506)------------------------------
% 0.15/0.40 % (22504)Instruction limit reached!
% 0.15/0.40 % (22504)------------------------------
% 0.15/0.40 % (22504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22504)Termination reason: Unknown
% 0.15/0.40 % (22504)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (22504)Memory used [KB]: 1791
% 0.15/0.40 % (22504)Time elapsed: 0.014 s
% 0.15/0.40 % (22504)Instructions burned: 37 (million)
% 0.15/0.40 % (22504)------------------------------
% 0.15/0.40 % (22504)------------------------------
% 0.15/0.40 % (22508)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.40 % (22505)Instruction limit reached!
% 0.15/0.40 % (22505)------------------------------
% 0.15/0.40 % (22505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (22505)Termination reason: Unknown
% 0.15/0.40 % (22505)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (22505)Memory used [KB]: 1663
% 0.15/0.40 % (22505)Time elapsed: 0.012 s
% 0.15/0.40 % (22505)Instructions burned: 16 (million)
% 0.15/0.40 % (22505)------------------------------
% 0.15/0.40 % (22505)------------------------------
% 0.15/0.41 % (22509)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.41 % (22508)Instruction limit reached!
% 0.15/0.41 % (22508)------------------------------
% 0.15/0.41 % (22508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (22508)Termination reason: Unknown
% 0.15/0.41 % (22508)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (22508)Memory used [KB]: 1407
% 0.15/0.41 % (22508)Time elapsed: 0.006 s
% 0.15/0.41 % (22508)Instructions burned: 8 (million)
% 0.15/0.41 % (22508)------------------------------
% 0.15/0.41 % (22508)------------------------------
% 0.21/0.41 % (22510)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)
% 0.21/0.41 % (22512)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)
% 0.21/0.41 % (22510)Instruction limit reached!
% 0.21/0.41 % (22510)------------------------------
% 0.21/0.41 % (22510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (22510)Termination reason: Unknown
% 0.21/0.41 % (22510)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (22510)Memory used [KB]: 1279
% 0.21/0.41 % (22510)Time elapsed: 0.004 s
% 0.21/0.41 % (22510)Instructions burned: 4 (million)
% 0.21/0.41 % (22510)------------------------------
% 0.21/0.41 % (22510)------------------------------
% 0.21/0.41 % (22511)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)
% 0.21/0.41 % (22512)Instruction limit reached!
% 0.21/0.41 % (22512)------------------------------
% 0.21/0.41 % (22512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (22512)Termination reason: Unknown
% 0.21/0.41 % (22512)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (22512)Memory used [KB]: 1407
% 0.21/0.41 % (22512)Time elapsed: 0.004 s
% 0.21/0.41 % (22512)Instructions burned: 8 (million)
% 0.21/0.41 % (22512)------------------------------
% 0.21/0.41 % (22512)------------------------------
% 0.21/0.41 % (22511)Instruction limit reached!
% 0.21/0.41 % (22511)------------------------------
% 0.21/0.41 % (22511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (22511)Termination reason: Unknown
% 0.21/0.41 % (22511)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (22511)Memory used [KB]: 1279
% 0.21/0.41 % (22511)Time elapsed: 0.004 s
% 0.21/0.41 % (22511)Instructions burned: 4 (million)
% 0.21/0.41 % (22511)------------------------------
% 0.21/0.41 % (22511)------------------------------
% 0.21/0.41 % (22509)Instruction limit reached!
% 0.21/0.41 % (22509)------------------------------
% 0.21/0.41 % (22509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (22509)Termination reason: Unknown
% 0.21/0.41 % (22509)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (22509)Memory used [KB]: 1535
% 0.21/0.41 % (22509)Time elapsed: 0.011 s
% 0.21/0.41 % (22509)Instructions burned: 17 (million)
% 0.21/0.41 % (22509)------------------------------
% 0.21/0.41 % (22509)------------------------------
% 0.21/0.42 % (22496)First to succeed.
% 0.21/0.42 % (22513)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)
% 0.21/0.42 % (22513)Instruction limit reached!
% 0.21/0.42 % (22513)------------------------------
% 0.21/0.42 % (22513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (22513)Termination reason: Unknown
% 0.21/0.42 % (22513)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (22513)Memory used [KB]: 1279
% 0.21/0.42 % (22513)Time elapsed: 0.004 s
% 0.21/0.42 % (22513)Instructions burned: 4 (million)
% 0.21/0.42 % (22513)------------------------------
% 0.21/0.42 % (22513)------------------------------
% 0.21/0.42 % (22496)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (22496)------------------------------
% 0.21/0.42 % (22496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (22496)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (22496)Memory used [KB]: 6652
% 0.21/0.42 % (22496)Time elapsed: 0.045 s
% 0.21/0.42 % (22496)Instructions burned: 89 (million)
% 0.21/0.42 % (22496)------------------------------
% 0.21/0.42 % (22496)------------------------------
% 0.21/0.42 % (22495)Success in time 0.052 s
% 0.21/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------