TSTP Solution File: SET063^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET063^5 : TPTP v8.1.2. Released v4.0.0.
% 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 : n022.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 : Sun May 5 09:03:32 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 64 ( 24 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 52 ( 20 ~; 1 |; 4 &; 16 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 12 ^ 19 !; 2 ?; 34 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_5,type,
sK0: a > $o ).
thf(func_def_7,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
sK3: a ).
thf(f20,plain,
$false,
inference(subsumption_resolution,[],[f19,f14]) ).
thf(f14,plain,
! [X1: a] :
( $false
= ( sK0 @ X1 ) ),
inference(trivial_inequality_removal,[],[f13]) ).
thf(f13,plain,
! [X1: a] :
( ( $true != $true )
| ( $false
= ( sK0 @ X1 ) ) ),
inference(fool_paramodulation,[],[f11]) ).
thf(f11,plain,
! [X1: a] :
( $true
!= ( sK0 @ X1 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( sK0
!= ( ^ [Y0: a] : $false ) )
& ! [X1: a] :
( $true
!= ( sK0 @ X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
thf(f9,plain,
( ? [X0: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X0 )
& ! [X1: a] :
( ( X0 @ X1 )
!= $true ) )
=> ( ( sK0
!= ( ^ [Y0: a] : $false ) )
& ! [X1: a] :
( $true
!= ( sK0 @ X1 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X0 )
& ! [X1: a] :
( ( X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
!= $true )
=> ( ( ^ [Y0: a] : $false )
= X0 ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
!= $true )
=> ( ( ^ [Y0: a] : $false )
= X0 ) ),
inference(true_and_false_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( ( X0 @ X1 )
= $true )
=> $false )
=> ( ( ^ [Y0: a] : $false )
= X0 ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
=> $false )
=> ( ( ^ [X2: a] : $false )
= X0 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
=> $false )
=> ( ( ^ [X1: a] : $false )
= X0 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o] :
( ! [X1: a] :
( ( X0 @ X1 )
=> $false )
=> ( ( ^ [X1: a] : $false )
= X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.ZGysNVn8h7/Vampire---4.8_25413',cBOOL_PROP_30_pme) ).
thf(f19,plain,
( $false
!= ( sK0 @ sK3 ) ),
inference(beta_eta_normalization,[],[f18]) ).
thf(f18,plain,
( ( ^ [Y0: a] : $false
@ sK3 )
!= ( sK0 @ sK3 ) ),
inference(negative_extensionality,[],[f12]) ).
thf(f12,plain,
( sK0
!= ( ^ [Y0: a] : $false ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET063^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 17:00:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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/tmp/tmp.ZGysNVn8h7/Vampire---4.8_25413
% 0.14/0.36 % (25525)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.37 % (25525)Refutation not found, incomplete strategy
% 0.14/0.37 % (25525)------------------------------
% 0.14/0.37 % (25525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (25525)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (25525)Memory used [KB]: 5373
% 0.14/0.37 % (25525)Time elapsed: 0.002 s
% 0.14/0.37 % (25525)Instructions burned: 1 (million)
% 0.14/0.37 % (25525)------------------------------
% 0.14/0.37 % (25525)------------------------------
% 0.14/0.37 % (25522)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.14/0.37 % (25524)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 Vampire---4 for (3000ds/27Mi)
% 0.14/0.37 % (25523)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 Vampire---4 for (3000ds/4Mi)
% 0.14/0.37 % (25526)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.37 % (25527)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.14/0.37 % (25528)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.14/0.37 % (25529)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.14/0.37 % (25522)Refutation not found, incomplete strategy
% 0.14/0.37 % (25522)------------------------------
% 0.14/0.37 % (25522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (25522)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (25522)Memory used [KB]: 5373
% 0.14/0.37 % (25522)Time elapsed: 0.003 s
% 0.14/0.37 % (25522)Instructions burned: 1 (million)
% 0.14/0.37 % (25522)------------------------------
% 0.14/0.37 % (25522)------------------------------
% 0.14/0.37 % (25524)Refutation not found, incomplete strategy
% 0.14/0.37 % (25524)------------------------------
% 0.14/0.37 % (25524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (25524)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (25524)Memory used [KB]: 5373
% 0.14/0.37 % (25524)Time elapsed: 0.003 s
% 0.14/0.37 % (25524)Instructions burned: 1 (million)
% 0.14/0.37 % (25524)------------------------------
% 0.14/0.37 % (25524)------------------------------
% 0.14/0.37 % (25523)First to succeed.
% 0.14/0.37 % (25528)Refutation not found, incomplete strategy
% 0.14/0.37 % (25528)------------------------------
% 0.14/0.37 % (25528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (25527)Refutation not found, incomplete strategy
% 0.14/0.37 % (25527)------------------------------
% 0.14/0.37 % (25527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (25527)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (25527)Memory used [KB]: 5373
% 0.14/0.37 % (25527)Time elapsed: 0.003 s
% 0.14/0.37 % (25527)Instructions burned: 1 (million)
% 0.14/0.37 % (25527)------------------------------
% 0.14/0.37 % (25527)------------------------------
% 0.14/0.37 % (25528)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (25528)Memory used [KB]: 5373
% 0.14/0.37 % (25529)Refutation not found, incomplete strategy
% 0.14/0.37 % (25529)------------------------------
% 0.14/0.37 % (25529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (25528)Time elapsed: 0.003 s
% 0.14/0.37 % (25528)Instructions burned: 1 (million)
% 0.14/0.37 % (25528)------------------------------
% 0.14/0.37 % (25528)------------------------------
% 0.14/0.37 % (25526)Instruction limit reached!
% 0.14/0.37 % (25526)------------------------------
% 0.14/0.37 % (25526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (25526)Termination reason: Unknown
% 0.14/0.37 % (25526)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (25526)Memory used [KB]: 5500
% 0.14/0.37 % (25526)Time elapsed: 0.004 s
% 0.14/0.37 % (25526)Instructions burned: 2 (million)
% 0.14/0.37 % (25526)------------------------------
% 0.14/0.37 % (25526)------------------------------
% 0.14/0.37 % (25529)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (25529)Memory used [KB]: 5373
% 0.14/0.37 % (25529)Time elapsed: 0.003 s
% 0.14/0.37 % (25529)Instructions burned: 1 (million)
% 0.14/0.37 % (25529)------------------------------
% 0.14/0.37 % (25529)------------------------------
% 0.14/0.37 % (25523)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for Vampire---4
% 0.14/0.37 % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.37 % (25523)------------------------------
% 0.14/0.37 % (25523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (25523)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (25523)Memory used [KB]: 5500
% 0.14/0.37 % (25523)Time elapsed: 0.004 s
% 0.14/0.37 % (25523)Instructions burned: 1 (million)
% 0.14/0.37 % (25523)------------------------------
% 0.14/0.37 % (25523)------------------------------
% 0.14/0.37 % (25521)Success in time 0.007 s
% 0.14/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------