TSTP Solution File: SEU843^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU843^5 : 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 : n027.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 03:51:54 EDT 2024
% Result : Theorem 0.19s 0.34s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 81 ( 32 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 100 ( 11 ~; 13 |; 10 &; 54 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 11 ^ 17 !; 8 ?; 37 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_7,type,
sK0: a > $o ).
thf(func_def_8,type,
sK1: a > $o ).
thf(func_def_9,type,
sK2: a ).
thf(func_def_11,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f20,plain,
$false,
inference(subsumption_resolution,[],[f19,f13]) ).
thf(f13,plain,
( ( sK1 @ sK2 )
!= $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ( ( sK1 @ sK2 )
!= $true )
& ( ( sK0 @ sK2 )
= $true )
& ( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) ) )
= sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f9,f8]) ).
thf(f8,plain,
( ? [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( ( X1 @ X2 )
!= $true )
& ( ( X0 @ X2 )
= $true ) )
& ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
| ( X0 @ Y0 ) ) )
= X1 ) )
=> ( ? [X2: a] :
( ( ( sK1 @ X2 )
!= $true )
& ( ( sK0 @ X2 )
= $true ) )
& ( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) ) )
= sK1 ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
( ? [X2: a] :
( ( ( sK1 @ X2 )
!= $true )
& ( ( sK0 @ X2 )
= $true ) )
=> ( ( ( sK1 @ sK2 )
!= $true )
& ( ( sK0 @ sK2 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f7,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( ( X1 @ X2 )
!= $true )
& ( ( X0 @ X2 )
= $true ) )
& ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
| ( X0 @ Y0 ) ) )
= X1 ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
| ( X0 @ Y0 ) ) )
= X1 )
=> ! [X2: a] :
( ( ( X0 @ X2 )
= $true )
=> ( ( X1 @ X2 )
= $true ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ( ( ^ [Y0: a] :
( ( X1 @ Y0 )
| ( X0 @ Y0 ) ) )
= X1 )
=> ! [X3: a] :
( ( ( X0 @ X3 )
= $true )
=> ( ( X1 @ X3 )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ( X1
= ( ^ [X2: a] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) )
=> ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > $o,X0: a > $o] :
( ( X0
= ( ^ [X2: a] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) )
=> ! [X3: a] :
( ( X1 @ X3 )
=> ( X0 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X1: a > $o,X0: a > $o] :
( ( X0
= ( ^ [X2: a] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) )
=> ! [X3: a] :
( ( X1 @ X3 )
=> ( X0 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM23_pme) ).
thf(f19,plain,
( ( sK1 @ sK2 )
= $true ),
inference(boolean_simplification,[],[f17]) ).
thf(f17,plain,
( ( sK1 @ sK2 )
= ( ( sK1 @ sK2 )
| $true ) ),
inference(superposition,[],[f15,f12]) ).
thf(f12,plain,
( ( sK0 @ sK2 )
= $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f15,plain,
! [X1: a] :
( ( ( sK1 @ X1 )
| ( sK0 @ X1 ) )
= ( sK1 @ X1 ) ),
inference(beta_eta_normalization,[],[f14]) ).
thf(f14,plain,
! [X1: a] :
( ( sK1 @ X1 )
= ( ^ [Y0: a] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) )
@ X1 ) ),
inference(argument_congruence,[],[f11]) ).
thf(f11,plain,
( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) ) )
= sK1 ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU843^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.12 % 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
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun May 19 16:20:08 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 This is a TH0_THM_EQU_NAR problem
% 0.13/0.33 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
% 0.19/0.34 % (25224)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)
% 0.19/0.34 % (25224)First to succeed.
% 0.19/0.34 % (25224)Refutation found. Thanks to Tanya!
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34 % (25224)------------------------------
% 0.19/0.34 % (25224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.34 % (25224)Termination reason: Refutation
% 0.19/0.34
% 0.19/0.34 % (25224)Memory used [KB]: 5500
% 0.19/0.34 % (25224)Time elapsed: 0.002 s
% 0.19/0.34 % (25224)Instructions burned: 2 (million)
% 0.19/0.34 % (25224)------------------------------
% 0.19/0.34 % (25224)------------------------------
% 0.19/0.34 % (25216)Success in time 0.002 s
% 0.19/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------