TSTP Solution File: SEV431^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV431^1 : TPTP v8.2.0. Released v5.2.0.
% 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 : n013.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 04:13:46 EDT 2024
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 22 ( 21 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 60 ( 12 ~; 3 |; 0 &; 42 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 4 ^ 19 !; 6 ?; 30 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
f: a > b ).
thf(func_def_6,type,
sK0: ( b > a ) > a ).
thf(func_def_8,type,
inv_f_2: b > a ).
thf(func_def_9,type,
ph3:
!>[X0: $tType] : X0 ).
thf(f20,plain,
$false,
inference(trivial_inequality_removal,[],[f17]) ).
thf(f17,plain,
( ( sK0
@ ^ [Y0: b] :
( inv_f_2
@ ( ^ [Y1: b] : Y1
@ Y0 ) ) )
!= ( sK0
@ ^ [Y0: b] :
( inv_f_2
@ ( ^ [Y1: b] : Y1
@ Y0 ) ) ) ),
inference(superposition,[],[f14,f15]) ).
thf(f15,plain,
! [X0: a] :
( ( inv_f_2 @ ( f @ X0 ) )
= X0 ),
inference(injectivity,[],[f13]) ).
thf(f13,plain,
! [X0: a,X1: a] :
( ( ( f @ X0 )
!= ( f @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: a,X1: a] :
( ( X0 = X1 )
| ( ( f @ X0 )
!= ( f @ X1 ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
! [X1: a,X0: a] :
( ( X0 = X1 )
| ( ( f @ X0 )
!= ( f @ X1 ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
! [X1: a,X0: a] :
( ( ( f @ X0 )
= ( f @ X1 ) )
=> ( X0 = X1 ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
! [X0: a,X1: a] :
( ( ( f @ X0 )
= ( f @ X1 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finj) ).
thf(f14,plain,
! [X0: b > a] :
( ( X0 @ ( f @ ( sK0 @ X0 ) ) )
!= ( sK0 @ X0 ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: b > a] :
( ( X0 @ ( f @ ( sK0 @ X0 ) ) )
!= ( sK0 @ X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f11]) ).
thf(f11,plain,
! [X0: b > a] :
( ? [X1: a] :
( ( X0 @ ( f @ X1 ) )
!= X1 )
=> ( ( X0 @ ( f @ ( sK0 @ X0 ) ) )
!= ( sK0 @ X0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
! [X0: b > a] :
? [X1: a] :
( ( X0 @ ( f @ X1 ) )
!= X1 ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ? [X0: b > a] :
! [X1: a] :
( ( X0 @ ( f @ X1 ) )
= X1 ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ? [X0: b > a] :
! [X1: a] :
( ( X0 @ ( f @ X1 ) )
= X1 ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ? [X2: b > a] :
! [X0: a] :
( ( X2 @ ( f @ X0 ) )
= X0 ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
? [X2: b > a] :
! [X0: a] :
( ( X2 @ ( f @ X0 ) )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invexists) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV431^1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % 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
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 18:57:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH0_THM_EQU_NAR problem
% 0.12/0.34 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
% 0.12/0.35 ipcrm: permission denied for id (1771372544)
% 0.12/0.36 ipcrm: permission denied for id (1771503627)
% 0.12/0.36 ipcrm: permission denied for id (1771601936)
% 0.12/0.37 ipcrm: permission denied for id (1771634705)
% 0.12/0.37 ipcrm: permission denied for id (1771667476)
% 0.12/0.39 ipcrm: permission denied for id (1771864097)
% 0.12/0.39 ipcrm: permission denied for id (1771962404)
% 0.12/0.39 ipcrm: permission denied for id (1771995174)
% 0.12/0.39 ipcrm: permission denied for id (1772027944)
% 0.19/0.41 ipcrm: permission denied for id (1772159024)
% 0.19/0.41 ipcrm: permission denied for id (1772191793)
% 0.19/0.41 ipcrm: permission denied for id (1772257330)
% 0.19/0.42 ipcrm: permission denied for id (1772388414)
% 0.19/0.43 ipcrm: permission denied for id (1772453954)
% 0.19/0.44 ipcrm: permission denied for id (1772519496)
% 0.19/0.44 ipcrm: permission denied for id (1772552267)
% 0.19/0.45 ipcrm: permission denied for id (1772683343)
% 0.19/0.45 ipcrm: permission denied for id (1772716115)
% 0.19/0.45 ipcrm: permission denied for id (1772748885)
% 0.19/0.45 ipcrm: permission denied for id (1772781654)
% 0.19/0.46 ipcrm: permission denied for id (1772814424)
% 0.19/0.46 ipcrm: permission denied for id (1772847196)
% 0.19/0.48 ipcrm: permission denied for id (1773011053)
% 0.19/0.49 ipcrm: permission denied for id (1773043822)
% 0.19/0.49 ipcrm: permission denied for id (1773076591)
% 0.19/0.50 ipcrm: permission denied for id (1773207673)
% 0.19/0.50 ipcrm: permission denied for id (1773240443)
% 0.19/0.52 % (1558)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2998ds/183Mi)
% 0.19/0.52 % (1565)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.19/0.52 % (1565)First to succeed.
% 0.19/0.52 % (1565)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (1565)------------------------------
% 0.19/0.52 % (1565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.52 % (1565)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (1565)Memory used [KB]: 5500
% 0.19/0.52 % (1565)Time elapsed: 0.003 s
% 0.19/0.52 % (1565)Instructions burned: 2 (million)
% 0.19/0.52 % (1565)------------------------------
% 0.19/0.52 % (1565)------------------------------
% 0.19/0.52 % (1371)Success in time 0.171 s
% 0.19/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------