TSTP Solution File: SEV489^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV489^1 : TPTP v8.2.0. Released v7.0.0.
% 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 : n002.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 04:13:58 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 15 unt; 8 typ; 0 def)
% Number of atoms : 79 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 124 ( 14 ~; 0 |; 0 &; 92 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 4 con; 0-4 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 37 ( 7 ^ 21 !; 4 ?; 37 :)
% ( 5 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
sK0: $tType ).
thf(func_def_0,type,
'const/sets/INSERT':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 > $o ) ).
thf(func_def_1,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_2,type,
'const/sets/EMPTY':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_4,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_13,type,
sK1: sK0 > $o ).
thf(func_def_15,type,
sK3: sK0 ).
thf(func_def_16,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f31,plain,
$false,
inference(trivial_inequality_removal,[],[f30]) ).
thf(f30,plain,
$true != $true,
inference(superposition,[],[f18,f29]) ).
thf(f29,plain,
( $true
= ( 'const/sets/IN' @ sK0 @ sK3 @ 'const/sets/EMPTY' @ sK0 ) ),
inference(binary_proxy_clausification,[],[f27]) ).
thf(f27,plain,
( ( ( 'const/sets/IN' @ sK0 @ sK3 @ 'const/sets/EMPTY' @ sK0 )
=> ( sK1 @ sK3 ) )
= $false ),
inference(beta_eta_normalization,[],[f26]) ).
thf(f26,plain,
( ( ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ 'const/sets/EMPTY' @ sK0 )
=> ( sK1 @ Y0 ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f17]) ).
thf(f17,plain,
( $true
!= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ 'const/sets/EMPTY' @ sK0 )
=> ( sK1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( $true
!= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ 'const/sets/EMPTY' @ sK0 )
=> ( sK1 @ Y0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f14]) ).
thf(f14,plain,
( ? [X0: $tType,X1: X0 > $o] :
( $true
!= ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0 )
=> ( X1 @ Y0 ) ) ) )
=> ( $true
!= ( !! @ sK0
@ ^ [Y0: sK0] :
( ( 'const/sets/IN' @ sK0 @ Y0 @ 'const/sets/EMPTY' @ sK0 )
=> ( sK1 @ Y0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
? [X0: $tType,X1: X0 > $o] :
( $true
!= ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0 )
=> ( X1 @ Y0 ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f11,plain,
~ ! [X0: $tType,X1: X0 > $o] :
( $true
= ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ 'const/sets/EMPTY' @ X0 )
=> ( X1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
~ ! [X0: $tType,X1: X0 > $o,X2: X0] :
( ( ( 'const/sets/IN' @ X0 @ X2 @ 'const/sets/EMPTY' @ X0 )
=> ( X1 @ X2 ) )
= $true ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ! [X0: $tType,X4: X0 > $o,X1: X0] :
( ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
=> ( X4 @ X1 ) )
= $true ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
! [X0: $tType,X4: X0 > $o,X1: X0] :
( ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
=> ( X4 @ X1 ) )
= $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/FORALL_IN_CLAUSES_0') ).
thf(f18,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
!= $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
!= $true ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
! [X0: $tType,X1: X0] :
( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 )
!= $true ),
inference(fool_elimination,[],[f6]) ).
thf(f6,plain,
! [X0: $tType,X1: X0] :
~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: $tType,X1: X0] :
~ ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/NOT_IN_EMPTY_') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV489^1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.13 % 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
% 0.14/0.35 % Computer : n002.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 : Sun May 19 19:15:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH1_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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (15210)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)
% 0.14/0.37 % (15209)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)
% 0.14/0.37 % (15208)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37 % (15211)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37 % (15213)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)
% 0.14/0.37 % (15212)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)
% 0.14/0.37 % (15214)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37 % (15215)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)
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.14/0.37 % (15210)First to succeed.
% 0.14/0.37 % (15211)Instruction limit reached!
% 0.14/0.37 % (15211)------------------------------
% 0.14/0.37 % (15211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (15211)Termination reason: Unknown
% 0.14/0.37 % (15211)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (15211)Memory used [KB]: 5500
% 0.14/0.37 % (15211)Time elapsed: 0.003 s
% 0.14/0.37 % (15211)Instructions burned: 2 (million)
% 0.14/0.37 % (15211)------------------------------
% 0.14/0.37 % (15211)------------------------------
% 0.14/0.37 % (15213)Also succeeded, but the first one will report.
% 0.14/0.37 % (15215)Instruction limit reached!
% 0.14/0.37 % (15215)------------------------------
% 0.14/0.37 % (15215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (15215)Termination reason: Unknown
% 0.14/0.37 % (15215)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (15215)Memory used [KB]: 5500
% 0.14/0.37 % (15215)Time elapsed: 0.004 s
% 0.14/0.37 % (15215)Instructions burned: 3 (million)
% 0.14/0.37 % (15215)------------------------------
% 0.14/0.37 % (15215)------------------------------
% 0.14/0.37 % (15208)Also succeeded, but the first one will report.
% 0.14/0.37 % (15210)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (15210)------------------------------
% 0.14/0.37 % (15210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (15210)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (15210)Memory used [KB]: 5500
% 0.14/0.37 % (15210)Time elapsed: 0.004 s
% 0.14/0.37 % (15210)Instructions burned: 2 (million)
% 0.14/0.37 % (15210)------------------------------
% 0.14/0.37 % (15210)------------------------------
% 0.14/0.37 % (15207)Success in time 0.005 s
% 0.14/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------