TSTP Solution File: ALG259^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG259^2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 18:20:26 EDT 2024
% Result : Theorem 0.29s 0.51s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 72 ( 49 unt; 21 typ; 0 def)
% Number of atoms : 221 ( 90 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 647 ( 39 ~; 0 |; 0 &; 510 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 20 usr; 11 con; 0-4 aty)
% ( 80 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 179 ( 142 ^ 37 !; 0 ?; 179 :)
% 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: subst > term > term ).
thf(func_def_143,type,
sK2: term ).
thf(func_def_144,type,
sK3: term ).
thf(f551,plain,
$false,
inference(equality_resolution,[],[f550]) ).
thf(f550,plain,
! [X0: term] :
( ( lam @ X0 )
!= ( lam @ ( sK1 @ sh @ one ) ) ),
inference(superposition,[],[f532,f549]) ).
thf(f549,plain,
( ( lam @ ( sK1 @ sh @ one ) )
= ( ap @ ( sub @ sK3 @ id ) @ sK2 ) ),
inference(equality_proxy_clausification,[],[f548]) ).
thf(f548,plain,
( $true
= ( ( ap @ ( sub @ sK3 @ id ) @ sK2 )
= ( lam @ ( sK1 @ sh @ one ) ) ) ),
inference(not_proxy_clausification,[],[f547]) ).
thf(f547,plain,
( $false
= ( ( ap @ ( sub @ sK3 @ id ) @ sK2 )
!= ( lam @ ( sK1 @ sh @ one ) ) ) ),
inference(beta_eta_normalization,[],[f546]) ).
thf(f546,plain,
( $false
= ( ^ [Y0: term] :
( ( ap @ ( sub @ Y0 @ id ) @ sK2 )
!= ( lam @ ( sK1 @ sh @ one ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f545]) ).
thf(f545,plain,
( $false
= ( !! @ term
@ ^ [Y0: term] :
( ( ap @ ( sub @ Y0 @ id ) @ sK2 )
!= ( lam @ ( sK1 @ sh @ one ) ) ) ) ),
inference(beta_eta_normalization,[],[f544]) ).
thf(f544,plain,
( $false
= ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ap @ ( sub @ Y1 @ id ) @ Y0 )
!= ( lam @ ( sK1 @ sh @ one ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[],[f535]) ).
thf(f535,plain,
( $false
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ap @ ( sub @ Y1 @ id ) @ Y0 )
!= ( lam @ ( sK1 @ sh @ one ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f534]) ).
thf(f534,plain,
( ( ( !! @ subst
@ ^ [Y0: subst] :
( !! @ subst
@ ^ [Y1: subst] :
( !! @ term
@ ^ [Y2: term] :
( ( sK1 @ ( comp @ Y1 @ Y0 ) @ ( sub @ Y2 @ Y0 ) )
= ( sub @ ( sK1 @ Y1 @ Y2 ) @ Y0 ) ) ) ) )
=> ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( ap @ ( sub @ Y1 @ id ) @ Y0 )
!= ( lam @ ( sK1 @ sh @ one ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f533]) ).
thf(f533,plain,
( ( ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ap @ ( sub @ Y2 @ id ) @ Y1 )
!= ( lam @ ( Y0 @ sh @ one ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[],[f523]) ).
thf(f523,plain,
( ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ap @ ( sub @ Y2 @ id ) @ Y1 )
!= ( lam @ ( Y0 @ sh @ one ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f522]) ).
thf(f522,plain,
( $true
!= ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y1 )
!= ( ap @ Y2 @ Y0 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ap @ ( sub @ Y2 @ id ) @ Y1 )
!= ( lam @ ( Y0 @ sh @ one ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f521]) ).
thf(f521,plain,
( $true
!= ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y1 )
!= ( ap @ Y2 @ Y0 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y2
@ id
@ Y1 )
!= ( ^ [Y3: subst,Y4: subst > term > term] : ( lam @ ( Y4 @ sh @ one ) )
@ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f347,f476]) ).
thf(f476,plain,
( hoaslamnotap_lthm
= ( ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y1 )
!= ( ap @ Y2 @ Y0 ) ) ) ) )
=> ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y2
@ id
@ Y1 )
!= ( ^ [Y3: subst,Y4: subst > term > term] : ( lam @ ( Y4 @ sh @ one ) )
@ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f443,f371,f452]) ).
thf(f452,plain,
( hoaslamnotap
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( ^ [Y3: subst,Y4: term,Y5: subst,Y6: term] : ( ap @ ( sub @ Y4 @ Y5 ) @ Y6 )
@ id
@ Y2
@ id
@ Y1 )
!= ( ^ [Y3: subst,Y4: subst > term > term] : ( lam @ ( Y4 @ sh @ one ) )
@ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f379,f419,f363]) ).
thf(f363,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(cnf_transformation,[],[f260]) ).
thf(f260,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(fool_elimination,[],[f259]) ).
thf(f259,plain,
( ( ^ [X0: subst,X1: subst > term > term] : ( lam @ ( X1 @ sh @ one ) ) )
= hoaslam ),
inference(rectify,[],[f56]) ).
thf(f56,axiom,
( ( ^ [X2: subst,X10: subst > term > term] : ( lam @ ( X10 @ sh @ one ) ) )
= hoaslam ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoaslam) ).
thf(f419,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(cnf_transformation,[],[f295]) ).
thf(f295,plain,
( hoasap
= ( ^ [Y0: subst,Y1: term,Y2: subst,Y3: term] : ( ap @ ( sub @ Y1 @ Y2 ) @ Y3 ) ) ),
inference(fool_elimination,[],[f294]) ).
thf(f294,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/sandbox2/benchmark/theBenchmark.p',hoasap) ).
thf(f379,plain,
( hoaslamnotap
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( hoasap @ id @ Y2 @ id @ Y1 )
!= ( hoaslam @ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f132]) ).
thf(f132,plain,
( hoaslamnotap
= ( !! @ ( subst > term > term )
@ ^ [Y0: subst > term > term] :
( ( !! @ subst
@ ^ [Y1: subst] :
( !! @ subst
@ ^ [Y2: subst] :
( !! @ term
@ ^ [Y3: term] :
( ( Y0 @ ( comp @ Y2 @ Y1 ) @ ( sub @ Y3 @ Y1 ) )
= ( sub @ ( Y0 @ Y2 @ Y3 ) @ Y1 ) ) ) ) )
=> ( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( hoasap @ id @ Y2 @ id @ Y1 )
!= ( hoaslam @ id
@ ^ [Y3: subst,Y4: term] : ( Y0 @ Y3 @ Y4 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f131]) ).
thf(f131,plain,
( hoaslamnotap
= ( ! [X0: subst > term > term] :
( ! [X1: term,X2: subst,X3: subst] :
( ( X0 @ ( comp @ X2 @ X3 ) @ ( sub @ X1 @ X3 ) )
= ( sub @ ( X0 @ X2 @ X1 ) @ X3 ) )
=> ! [X4: term,X5: term] :
( ( hoasap @ id @ X4 @ id @ X5 )
!= ( hoaslam @ id
@ ^ [X6: subst,X7: term] : ( X0 @ X6 @ X7 ) ) ) ) ) ),
inference(rectify,[],[f67]) ).
thf(f67,axiom,
( hoaslamnotap
= ( ! [X10: subst > term > term] :
( ! [X0: term,X2: subst,X3: subst] :
( ( sub @ ( X10 @ X2 @ X0 ) @ X3 )
= ( X10 @ ( comp @ X2 @ X3 ) @ ( sub @ X0 @ X3 ) ) )
=> ! [X0: term,X1: term] :
( ( hoasap @ id @ X0 @ id @ X1 )
!= ( hoaslam @ id
@ ^ [X2: subst,X6: term] : ( X10 @ X2 @ X6 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoaslamnotap) ).
thf(f371,plain,
( lamnotap
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y1 )
!= ( ap @ Y2 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f230]) ).
thf(f230,plain,
( lamnotap
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y1 )
!= ( ap @ Y2 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f229]) ).
thf(f229,plain,
( lamnotap
= ( ! [X0: term,X1: term,X2: term] :
( ( lam @ X1 )
!= ( ap @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f20]) ).
thf(f20,axiom,
( lamnotap
= ( ! [X1: term,X0: term,X6: term] :
( ( lam @ X0 )
!= ( ap @ X1 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lamnotap) ).
thf(f443,plain,
( hoaslamnotap_lthm
= ( lamnotap
=> hoaslamnotap ) ),
inference(cnf_transformation,[],[f236]) ).
thf(f236,plain,
( hoaslamnotap_lthm
= ( lamnotap
=> hoaslamnotap ) ),
inference(fool_elimination,[],[f235]) ).
thf(f235,plain,
( ( hoaslamnotap_lthm = lamnotap )
=> hoaslamnotap ),
inference(rectify,[],[f69]) ).
thf(f69,axiom,
( ( hoaslamnotap_lthm = lamnotap )
=> hoaslamnotap ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoaslamnotap_lthm) ).
thf(f347,plain,
hoaslamnotap_lthm != $true,
inference(cnf_transformation,[],[f329]) ).
thf(f329,plain,
hoaslamnotap_lthm != $true,
inference(flattening,[],[f299]) ).
thf(f299,plain,
hoaslamnotap_lthm != $true,
inference(fool_elimination,[],[f298]) ).
thf(f298,plain,
~ hoaslamnotap_lthm,
inference(rectify,[],[f115]) ).
thf(f115,negated_conjecture,
~ hoaslamnotap_lthm,
inference(negated_conjecture,[],[f114]) ).
thf(f114,conjecture,
hoaslamnotap_lthm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(f532,plain,
! [X2: term,X3: term,X1: term] :
( ( ap @ X3 @ X1 )
!= ( lam @ X2 ) ),
inference(equality_proxy_clausification,[],[f531]) ).
thf(f531,plain,
! [X2: term,X3: term,X1: term] :
( ( ( lam @ X2 )
= ( ap @ X3 @ X1 ) )
= $false ),
inference(not_proxy_clausification,[],[f530]) ).
thf(f530,plain,
! [X2: term,X3: term,X1: term] :
( $true
= ( ( lam @ X2 )
!= ( ap @ X3 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f529]) ).
thf(f529,plain,
! [X2: term,X3: term,X1: term] :
( $true
= ( ^ [Y0: term] :
( ( lam @ X2 )
!= ( ap @ Y0 @ X1 ) )
@ X3 ) ),
inference(pi_clausification,[],[f528]) ).
thf(f528,plain,
! [X2: term,X1: term] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( ( lam @ X2 )
!= ( ap @ Y0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f527]) ).
thf(f527,plain,
! [X2: term,X1: term] :
( $true
= ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( lam @ Y0 )
!= ( ap @ Y1 @ X1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f526]) ).
thf(f526,plain,
! [X1: term] :
( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( ( lam @ Y0 )
!= ( ap @ Y1 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f525]) ).
thf(f525,plain,
! [X1: term] :
( $true
= ( ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y1 )
!= ( ap @ Y2 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f524]) ).
thf(f524,plain,
( $true
= ( !! @ term
@ ^ [Y0: term] :
( !! @ term
@ ^ [Y1: term] :
( !! @ term
@ ^ [Y2: term] :
( ( lam @ Y1 )
!= ( ap @ Y2 @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : ALG259^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.18/0.18 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.19/0.42 % Computer : n020.cluster.edu
% 0.19/0.42 % Model : x86_64 x86_64
% 0.19/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.42 % Memory : 8042.1875MB
% 0.19/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.42 % CPULimit : 300
% 0.19/0.42 % WCLimit : 300
% 0.19/0.42 % DateTime : Sat May 18 22:57:38 EDT 2024
% 0.19/0.42 % CPUTime :
% 0.19/0.42 This is a TH0_THM_EQU_NAR problem
% 0.19/0.42 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 % (18220)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46 % (18224)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)
% 0.19/0.46 % (18219)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)
% 0.19/0.46 % (18218)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)
% 0.19/0.46 % (18222)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)
% 0.19/0.46 % (18221)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)
% 0.19/0.46 % (18223)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.46 % (18217)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.29/0.46 % (18220)Instruction limit reached!
% 0.29/0.46 % (18220)------------------------------
% 0.29/0.46 % (18220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.46 % (18220)Termination reason: Unknown
% 0.29/0.46 % (18220)Termination phase: shuffling
% 0.29/0.46
% 0.29/0.46 % (18220)Memory used [KB]: 1279
% 0.29/0.46 % (18220)Time elapsed: 0.004 s
% 0.29/0.46 % (18220)Instructions burned: 3 (million)
% 0.29/0.46 % (18220)------------------------------
% 0.29/0.46 % (18220)------------------------------
% 0.29/0.46 % (18221)Instruction limit reached!
% 0.29/0.46 % (18221)------------------------------
% 0.29/0.46 % (18221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.46 % (18221)Termination reason: Unknown
% 0.29/0.46 % (18221)Termination phase: shuffling
% 0.29/0.46
% 0.29/0.46 % (18221)Memory used [KB]: 1279
% 0.29/0.46 % (18221)Time elapsed: 0.004 s
% 0.29/0.46 % (18221)Instructions burned: 3 (million)
% 0.29/0.46 % (18221)------------------------------
% 0.29/0.46 % (18221)------------------------------
% 0.29/0.46 % (18224)Instruction limit reached!
% 0.29/0.46 % (18224)------------------------------
% 0.29/0.46 % (18224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.46 % (18224)Termination reason: Unknown
% 0.29/0.46 % (18224)Termination phase: shuffling
% 0.29/0.46
% 0.29/0.46 % (18224)Memory used [KB]: 1279
% 0.29/0.46 % (18224)Time elapsed: 0.004 s
% 0.29/0.46 % (18224)Instructions burned: 4 (million)
% 0.29/0.46 % (18224)------------------------------
% 0.29/0.46 % (18224)------------------------------
% 0.29/0.46 % (18218)Instruction limit reached!
% 0.29/0.46 % (18218)------------------------------
% 0.29/0.46 % (18218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.46 % (18218)Termination reason: Unknown
% 0.29/0.46 % (18218)Termination phase: shuffling
% 0.29/0.46
% 0.29/0.46 % (18218)Memory used [KB]: 1279
% 0.29/0.46 % (18218)Time elapsed: 0.005 s
% 0.29/0.46 % (18218)Instructions burned: 5 (million)
% 0.29/0.46 % (18218)------------------------------
% 0.29/0.46 % (18218)------------------------------
% 0.29/0.47 % (18223)Instruction limit reached!
% 0.29/0.47 % (18223)------------------------------
% 0.29/0.47 % (18223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.47 % (18223)Termination reason: Unknown
% 0.29/0.47 % (18223)Termination phase: Property scanning
% 0.29/0.47
% 0.29/0.47 % (18223)Memory used [KB]: 1663
% 0.29/0.47 % (18223)Time elapsed: 0.013 s
% 0.29/0.47 % (18223)Instructions burned: 18 (million)
% 0.29/0.47 % (18223)------------------------------
% 0.29/0.47 % (18223)------------------------------
% 0.29/0.47 % (18219)Instruction limit reached!
% 0.29/0.47 % (18219)------------------------------
% 0.29/0.47 % (18219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.47 % (18219)Termination reason: Unknown
% 0.29/0.47 % (18219)Termination phase: Property scanning
% 0.29/0.47
% 0.29/0.47 % (18219)Memory used [KB]: 1791
% 0.29/0.47 % (18219)Time elapsed: 0.017 s
% 0.29/0.47 % (18219)Instructions burned: 28 (million)
% 0.29/0.47 % (18219)------------------------------
% 0.29/0.47 % (18219)------------------------------
% 0.29/0.47 % (18222)Refutation not found, incomplete strategy
% 0.29/0.47 % (18222)------------------------------
% 0.29/0.47 % (18222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.47 % (18222)Termination reason: Refutation not found, incomplete strategy
% 0.29/0.47
% 0.29/0.47
% 0.29/0.47 % (18222)Memory used [KB]: 6140
% 0.29/0.47 % (18222)Time elapsed: 0.018 s
% 0.29/0.47 % (18222)Instructions burned: 25 (million)
% 0.29/0.47 % (18222)------------------------------
% 0.29/0.47 % (18222)------------------------------
% 0.29/0.47 % (18227)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)
% 0.29/0.47 % (18226)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)
% 0.29/0.47 % (18225)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)
% 0.29/0.47 % (18228)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)
% 0.29/0.48 % (18227)Instruction limit reached!
% 0.29/0.48 % (18227)------------------------------
% 0.29/0.48 % (18227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.48 % (18227)Termination reason: Unknown
% 0.29/0.48 % (18227)Termination phase: shuffling
% 0.29/0.48
% 0.29/0.48 % (18227)Memory used [KB]: 1279
% 0.29/0.48 % (18227)Time elapsed: 0.004 s
% 0.29/0.48 % (18227)Instructions burned: 4 (million)
% 0.29/0.48 % (18227)------------------------------
% 0.29/0.48 % (18227)------------------------------
% 0.29/0.48 % (18226)Instruction limit reached!
% 0.29/0.48 % (18226)------------------------------
% 0.29/0.48 % (18226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.48 % (18226)Termination reason: Unknown
% 0.29/0.48 % (18226)Termination phase: Property scanning
% 0.29/0.48
% 0.29/0.48 % (18226)Memory used [KB]: 1663
% 0.29/0.48 % (18226)Time elapsed: 0.011 s
% 0.29/0.48 % (18226)Instructions burned: 15 (million)
% 0.29/0.48 % (18226)------------------------------
% 0.29/0.48 % (18226)------------------------------
% 0.29/0.48 % (18229)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.29/0.49 % (18230)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.29/0.49 % (18229)Instruction limit reached!
% 0.29/0.49 % (18229)------------------------------
% 0.29/0.49 % (18229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.49 % (18229)Termination reason: Unknown
% 0.29/0.49 % (18229)Termination phase: shuffling
% 0.29/0.49
% 0.29/0.49 % (18229)Memory used [KB]: 1407
% 0.29/0.49 % (18229)Time elapsed: 0.007 s
% 0.29/0.49 % (18229)Instructions burned: 8 (million)
% 0.29/0.49 % (18229)------------------------------
% 0.29/0.49 % (18229)------------------------------
% 0.29/0.49 % (18231)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)
% 0.29/0.49 % (18231)Instruction limit reached!
% 0.29/0.49 % (18231)------------------------------
% 0.29/0.49 % (18231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.49 % (18232)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)
% 0.29/0.49 % (18231)Termination reason: Unknown
% 0.29/0.49 % (18231)Termination phase: shuffling
% 0.29/0.49
% 0.29/0.49 % (18231)Memory used [KB]: 1279
% 0.29/0.49 % (18231)Time elapsed: 0.004 s
% 0.29/0.49 % (18231)Instructions burned: 3 (million)
% 0.29/0.49 % (18231)------------------------------
% 0.29/0.49 % (18231)------------------------------
% 0.29/0.49 % (18225)Instruction limit reached!
% 0.29/0.49 % (18225)------------------------------
% 0.29/0.49 % (18225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.49 % (18225)Termination reason: Unknown
% 0.29/0.49 % (18232)Instruction limit reached!
% 0.29/0.49 % (18232)------------------------------
% 0.29/0.49 % (18232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.49 % (18232)Termination reason: Unknown
% 0.29/0.49 % (18232)Termination phase: shuffling
% 0.29/0.49
% 0.29/0.49 % (18232)Memory used [KB]: 1279
% 0.29/0.49 % (18232)Time elapsed: 0.004 s
% 0.29/0.49 % (18232)Instructions burned: 3 (million)
% 0.29/0.49 % (18232)------------------------------
% 0.29/0.49 % (18232)------------------------------
% 0.29/0.49 % (18225)Termination phase: Property scanning
% 0.29/0.49
% 0.29/0.49 % (18225)Memory used [KB]: 1791
% 0.29/0.49 % (18225)Time elapsed: 0.022 s
% 0.29/0.49 % (18225)Instructions burned: 38 (million)
% 0.29/0.49 % (18225)------------------------------
% 0.29/0.49 % (18225)------------------------------
% 0.29/0.50 % (18230)Instruction limit reached!
% 0.29/0.50 % (18230)------------------------------
% 0.29/0.50 % (18230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.50 % (18230)Termination reason: Unknown
% 0.29/0.50 % (18230)Termination phase: shuffling
% 0.29/0.50
% 0.29/0.50 % (18230)Memory used [KB]: 1535
% 0.29/0.50 % (18230)Time elapsed: 0.011 s
% 0.29/0.50 % (18230)Instructions burned: 16 (million)
% 0.29/0.50 % (18230)------------------------------
% 0.29/0.50 % (18230)------------------------------
% 0.29/0.50 % (18233)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)
% 0.29/0.50 % (18217)First to succeed.
% 0.29/0.50 % (18233)Instruction limit reached!
% 0.29/0.50 % (18233)------------------------------
% 0.29/0.50 % (18233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.50 % (18233)Termination reason: Unknown
% 0.29/0.50 % (18233)Termination phase: shuffling
% 0.29/0.50
% 0.29/0.50 % (18233)Memory used [KB]: 1407
% 0.29/0.50 % (18233)Time elapsed: 0.006 s
% 0.29/0.50 % (18233)Instructions burned: 8 (million)
% 0.29/0.50 % (18233)------------------------------
% 0.29/0.50 % (18233)------------------------------
% 0.29/0.51 % (18234)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)
% 0.29/0.51 % (18217)Refutation found. Thanks to Tanya!
% 0.29/0.51 % SZS status Theorem for theBenchmark
% 0.29/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/0.51 % (18217)------------------------------
% 0.29/0.51 % (18217)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.29/0.51 % (18217)Termination reason: Refutation
% 0.29/0.51
% 0.29/0.51 % (18217)Memory used [KB]: 6652
% 0.29/0.51 % (18217)Time elapsed: 0.050 s
% 0.29/0.51 % (18217)Instructions burned: 88 (million)
% 0.29/0.51 % (18217)------------------------------
% 0.29/0.51 % (18217)------------------------------
% 0.29/0.51 % (18216)Success in time 0.068 s
% 0.29/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------