TSTP Solution File: SET591^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET591^5 : TPTP v8.2.0. 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/sandbox2/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 : Tue May 21 03:12:15 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 9 unt; 5 typ; 0 def)
% Number of atoms : 90 ( 36 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 93 ( 28 ~; 6 |; 13 &; 35 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 11 ^ 23 !; 4 ?; 38 :)
% 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_6,type,
sK1: a > $o ).
thf(func_def_8,type,
sK3: a ).
thf(f22,plain,
$false,
inference(subsumption_resolution,[],[f21,f15]) ).
thf(f15,plain,
! [X2: a] :
( $false
= ( sK0 @ X2 ) ),
inference(trivial_inequality_removal,[],[f14]) ).
thf(f14,plain,
! [X2: a] :
( ( $false
= ( sK0 @ X2 ) )
| ( $true != $true ) ),
inference(fool_paramodulation,[],[f13]) ).
thf(f13,plain,
! [X2: a] :
( $true
!= ( sK0 @ X2 ) ),
inference(duplicate_literal_removal,[],[f10]) ).
thf(f10,plain,
! [X2: a] :
( ( $true
!= ( sK0 @ X2 ) )
| ( $true
!= ( sK0 @ X2 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ( ( ^ [Y0: a] : $false )
!= sK0 )
& ! [X2: a] :
( ( $true
!= ( sK0 @ X2 ) )
| ( ( $true
= ( sK1 @ X2 ) )
& ( $true
!= ( sK0 @ X2 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
thf(f8,plain,
( ? [X0: a > $o,X1: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X0 )
& ! [X2: a] :
( ( ( X0 @ X2 )
!= $true )
| ( ( ( X1 @ X2 )
= $true )
& ( ( X0 @ X2 )
!= $true ) ) ) )
=> ( ( ( ^ [Y0: a] : $false )
!= sK0 )
& ! [X2: a] :
( ( $true
!= ( sK0 @ X2 ) )
| ( ( $true
= ( sK1 @ X2 ) )
& ( $true
!= ( sK0 @ X2 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: a > $o,X1: a > $o] :
( ( ( ^ [Y0: a] : $false )
!= X0 )
& ! [X2: a] :
( ( ( X0 @ X2 )
!= $true )
| ( ( ( X1 @ X2 )
= $true )
& ( ( X0 @ X2 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( X0 @ X2 )
= $true )
=> ( ( ( X1 @ X2 )
= $true )
& ( ( X0 @ X2 )
!= $true ) ) )
=> ( ( ^ [Y0: a] : $false )
= X0 ) ),
inference(flattening,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( X0 @ X2 )
= $true )
=> ( ( ( X0 @ X2 )
!= $true )
& ( ( X1 @ X2 )
= $true ) ) )
=> ( ( ^ [Y0: a] : $false )
= X0 ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( ~ ( X0 @ X2 )
& ( X1 @ X2 ) ) )
=> ( ( ^ [X3: a] : $false )
= X0 ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( ~ ( X0 @ X2 )
& ( X1 @ X2 ) ) )
=> ( ( ^ [X2: a] : $false )
= X0 ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( ~ ( X0 @ X2 )
& ( X1 @ X2 ) ) )
=> ( ( ^ [X2: a] : $false )
= X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_50_pme) ).
thf(f21,plain,
( ( sK0 @ sK3 )
!= $false ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
( ( sK0 @ sK3 )
!= ( ^ [Y0: a] : $false
@ sK3 ) ),
inference(negative_extensionality,[],[f12]) ).
thf(f12,plain,
( ( ^ [Y0: a] : $false )
!= sK0 ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET591^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 12:57:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 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
% 0.14/0.38 % (13742)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 (3000ds/4Mi)
% 0.14/0.38 % (13743)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 (3000ds/27Mi)
% 0.14/0.38 % (13747)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38 % (13746)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 (3000ds/275Mi)
% 0.14/0.38 % (13745)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 (3000ds/2Mi)
% 0.14/0.38 % (13743)Refutation not found, incomplete strategy
% 0.14/0.38 % (13743)------------------------------
% 0.14/0.38 % (13743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13743)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (13743)Memory used [KB]: 5500
% 0.14/0.38 % (13743)Time elapsed: 0.002 s
% 0.14/0.38 % (13743)Instructions burned: 1 (million)
% 0.14/0.38 % (13743)------------------------------
% 0.14/0.38 % (13743)------------------------------
% 0.14/0.38 % (13744)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.38 % (13742)First to succeed.
% 0.14/0.38 % (13747)Refutation not found, incomplete strategy
% 0.14/0.38 % (13747)------------------------------
% 0.14/0.38 % (13747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13748)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.38 % (13747)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (13747)Memory used [KB]: 5500
% 0.14/0.38 % (13747)Time elapsed: 0.002 s
% 0.14/0.38 % (13747)Instructions burned: 1 (million)
% 0.14/0.38 % (13747)------------------------------
% 0.14/0.38 % (13747)------------------------------
% 0.14/0.38 % (13746)Refutation not found, incomplete strategy
% 0.14/0.38 % (13746)------------------------------
% 0.14/0.38 % (13746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13746)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (13746)Memory used [KB]: 5373
% 0.14/0.38 % (13746)Time elapsed: 0.002 s
% 0.14/0.38 % (13746)Instructions burned: 1 (million)
% 0.14/0.38 % (13746)------------------------------
% 0.14/0.38 % (13746)------------------------------
% 0.14/0.38 % (13745)Instruction limit reached!
% 0.14/0.38 % (13745)------------------------------
% 0.14/0.38 % (13745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13745)Termination reason: Unknown
% 0.14/0.38 % (13745)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (13745)Memory used [KB]: 5373
% 0.14/0.38 % (13745)Time elapsed: 0.003 s
% 0.14/0.38 % (13745)Instructions burned: 2 (million)
% 0.14/0.38 % (13745)------------------------------
% 0.14/0.38 % (13745)------------------------------
% 0.14/0.38 % (13744)Refutation not found, incomplete strategy
% 0.14/0.38 % (13744)------------------------------
% 0.14/0.38 % (13744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13748)Refutation not found, incomplete strategy
% 0.14/0.38 % (13748)------------------------------
% 0.14/0.38 % (13748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13748)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (13748)Memory used [KB]: 5500
% 0.14/0.38 % (13748)Time elapsed: 0.003 s
% 0.14/0.38 % (13748)------------------------------
% 0.14/0.38 % (13748)------------------------------
% 0.14/0.38 % (13744)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (13744)Memory used [KB]: 5500
% 0.14/0.38 % (13744)Time elapsed: 0.002 s
% 0.14/0.38 % (13744)Instructions burned: 1 (million)
% 0.14/0.38 % (13744)------------------------------
% 0.14/0.38 % (13744)------------------------------
% 0.14/0.38 % (13742)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (13742)------------------------------
% 0.14/0.38 % (13742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (13742)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (13742)Memory used [KB]: 5500
% 0.14/0.38 % (13742)Time elapsed: 0.003 s
% 0.14/0.38 % (13742)Instructions burned: 1 (million)
% 0.14/0.38 % (13742)------------------------------
% 0.14/0.38 % (13742)------------------------------
% 0.14/0.38 % (13740)Success in time 0.012 s
% 0.14/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------