TSTP Solution File: SEU858^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU858^5 : 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 03:51:57 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 103 ( 40 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 108 ( 15 ~; 15 |; 15 &; 52 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 32 ^ 25 !; 3 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_8,type,
sK0: ( a > $o ) > $o ).
thf(f14,plain,
$false,
inference(subsumption_resolution,[],[f11,f13]) ).
thf(f13,plain,
( $true
!= ( sK0
@ ^ [Y0: a] : $false ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( $true
!= ( sK0
@ ^ [Y0: a] : $false ) )
& ! [X1: a,X2: a > $o] :
( ( $true
!= ( sK0 @ X2 ) )
| ( ( sK0
@ ^ [Y0: a] :
( ( X1 = Y0 )
| ( X2 @ Y0 ) ) )
= $true ) )
& ( $true
= ( sK0
@ ^ [Y0: a] : $false ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
thf(f9,plain,
( ? [X0: ( a > $o ) > $o] :
( ( $true
!= ( X0
@ ^ [Y0: a] : $false ) )
& ! [X1: a,X2: a > $o] :
( ( ( X0 @ X2 )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: a] :
( ( X1 = Y0 )
| ( X2 @ Y0 ) ) ) ) )
& ( $true
= ( X0
@ ^ [Y0: a] : $false ) ) )
=> ( ( $true
!= ( sK0
@ ^ [Y0: a] : $false ) )
& ! [X2: a > $o,X1: a] :
( ( $true
!= ( sK0 @ X2 ) )
| ( ( sK0
@ ^ [Y0: a] :
( ( X1 = Y0 )
| ( X2 @ Y0 ) ) )
= $true ) )
& ( $true
= ( sK0
@ ^ [Y0: a] : $false ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: ( a > $o ) > $o] :
( ( $true
!= ( X0
@ ^ [Y0: a] : $false ) )
& ! [X1: a,X2: a > $o] :
( ( ( X0 @ X2 )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: a] :
( ( X1 = Y0 )
| ( X2 @ Y0 ) ) ) ) )
& ( $true
= ( X0
@ ^ [Y0: a] : $false ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: ( a > $o ) > $o] :
( ( $true
!= ( X0
@ ^ [Y0: a] : $false ) )
& ! [X1: a,X2: a > $o] :
( ( ( X0 @ X2 )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: a] :
( ( X1 = Y0 )
| ( X2 @ Y0 ) ) ) ) )
& ( $true
= ( X0
@ ^ [Y0: a] : $false ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: ( a > $o ) > $o] :
( ( ! [X1: a,X2: a > $o] :
( ( ( X0 @ X2 )
= $true )
=> ( $true
= ( X0
@ ^ [Y0: a] :
( ( X1 = Y0 )
| ( X2 @ Y0 ) ) ) ) )
& ( $true
= ( X0
@ ^ [Y0: a] : $false ) ) )
=> ( $true
= ( X0
@ ^ [Y0: a] : $false ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ! [X0: ( a > $o ) > $o] :
( ( ( $true
= ( X0
@ ^ [Y0: a] : $false ) )
& ! [X2: a,X3: a > $o] :
( ( $true
= ( X0 @ X3 ) )
=> ( ( X0
@ ^ [Y0: a] :
( ( X2 = Y0 )
| ( X3 @ Y0 ) ) )
= $true ) ) )
=> ( $true
= ( X0
@ ^ [Y0: a] : $false ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: ( a > $o ) > $o] :
( ( ( X0
@ ^ [X1: a] : $false )
& ! [X2: a,X3: a > $o] :
( ( X0 @ X3 )
=> ( X0
@ ^ [X4: a] :
( ( X3 @ X4 )
| ( X2 = X4 ) ) ) ) )
=> ( X0
@ ^ [X5: a] : $false ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( a > $o ) > $o] :
( ( ( X0
@ ^ [X1: a] : $false )
& ! [X1: a,X2: a > $o] :
( ( X0 @ X2 )
=> ( X0
@ ^ [X3: a] :
( ( X2 @ X3 )
| ( X1 = X3 ) ) ) ) )
=> ( X0
@ ^ [X1: a] : $false ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: ( a > $o ) > $o] :
( ( ( X0
@ ^ [X1: a] : $false )
& ! [X1: a,X2: a > $o] :
( ( X0 @ X2 )
=> ( X0
@ ^ [X3: a] :
( ( X2 @ X3 )
| ( X1 = X3 ) ) ) ) )
=> ( X0
@ ^ [X1: a] : $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM163_pme) ).
thf(f11,plain,
( $true
= ( sK0
@ ^ [Y0: a] : $false ) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU858^5 : 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
% 0.14/0.35 % Computer : n007.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 17:17:38 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (12921)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 % (12921)First to succeed.
% 0.14/0.37 % (12921)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 % (12921)------------------------------
% 0.14/0.37 % (12921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (12921)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (12921)Memory used [KB]: 5500
% 0.14/0.37 % (12921)Time elapsed: 0.002 s
% 0.14/0.37 % (12921)Instructions burned: 1 (million)
% 0.14/0.37 % (12921)------------------------------
% 0.14/0.37 % (12921)------------------------------
% 0.14/0.37 % (12919)Success in time 0.001 s
% 0.14/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------