TSTP Solution File: SET199^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET199^5 : 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 : n014.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 03:09:37 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 5 unt; 7 typ; 0 def)
% Number of atoms : 155 ( 63 equ; 0 cnn)
% Maximal formula atoms : 14 ( 9 avg)
% Number of connectives : 185 ( 35 ~; 18 |; 32 &; 82 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 0 ^ 37 !; 18 ?; 56 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_2,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_5,type,
sK0: a > $o ).
thf(func_def_6,type,
sK1: a > $o ).
thf(func_def_7,type,
sK2: a > $o ).
thf(func_def_8,type,
sK3: a ).
thf(f20,plain,
$false,
inference(trivial_inequality_removal,[],[f19]) ).
thf(f19,plain,
$true != $true,
inference(superposition,[],[f12,f18]) ).
thf(f18,plain,
( $true
= ( sK0 @ sK3 ) ),
inference(trivial_inequality_removal,[],[f17]) ).
thf(f17,plain,
( ( $true != $true )
| ( $true
= ( sK0 @ sK3 ) ) ),
inference(superposition,[],[f15,f13]) ).
thf(f13,plain,
( $true
= ( sK2 @ sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( ! [X3: a] :
( ( $true
!= ( sK2 @ X3 ) )
| ( $true
= ( sK1 @ X3 ) ) )
& ! [X4: a] :
( ( $true
= ( sK0 @ X4 ) )
| ( $true
!= ( sK2 @ X4 ) ) )
& ( $true
!= ( sK1 @ sK3 ) )
& ( $true
= ( sK2 @ sK3 ) )
& ( $true
!= ( sK0 @ sK3 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( ( X2 @ X3 )
!= $true )
| ( ( X1 @ X3 )
= $true ) )
& ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
| ( $true
!= ( X2 @ X4 ) ) )
& ? [X5: a] :
( ( $true
!= ( X1 @ X5 ) )
& ( $true
= ( X2 @ X5 ) )
& ( $true
!= ( X0 @ X5 ) ) ) )
=> ( ! [X3: a] :
( ( $true
!= ( sK2 @ X3 ) )
| ( $true
= ( sK1 @ X3 ) ) )
& ! [X4: a] :
( ( $true
= ( sK0 @ X4 ) )
| ( $true
!= ( sK2 @ X4 ) ) )
& ? [X5: a] :
( ( $true
!= ( sK1 @ X5 ) )
& ( $true
= ( sK2 @ X5 ) )
& ( $true
!= ( sK0 @ X5 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
( ? [X5: a] :
( ( $true
!= ( sK1 @ X5 ) )
& ( $true
= ( sK2 @ X5 ) )
& ( $true
!= ( sK0 @ X5 ) ) )
=> ( ( $true
!= ( sK1 @ sK3 ) )
& ( $true
= ( sK2 @ sK3 ) )
& ( $true
!= ( sK0 @ sK3 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( ( X2 @ X3 )
!= $true )
| ( ( X1 @ X3 )
= $true ) )
& ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
| ( $true
!= ( X2 @ X4 ) ) )
& ? [X5: a] :
( ( $true
!= ( X1 @ X5 ) )
& ( $true
= ( X2 @ X5 ) )
& ( $true
!= ( X0 @ X5 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
? [X2: a > $o,X1: a > $o,X0: a > $o] :
( ! [X3: a] :
( ( ( X0 @ X3 )
!= $true )
| ( ( X1 @ X3 )
= $true ) )
& ! [X4: a] :
( ( $true
= ( X2 @ X4 ) )
| ( ( X0 @ X4 )
!= $true ) )
& ? [X5: a] :
( ( $true
!= ( X1 @ X5 ) )
& ( $true
= ( X0 @ X5 ) )
& ( $true
!= ( X2 @ X5 ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
? [X1: a > $o,X2: a > $o,X0: a > $o] :
( ? [X5: a] :
( ( $true
!= ( X2 @ X5 ) )
& ( $true
!= ( X1 @ X5 ) )
& ( $true
= ( X0 @ X5 ) ) )
& ! [X3: a] :
( ( ( X0 @ X3 )
!= $true )
| ( ( X1 @ X3 )
= $true ) )
& ! [X4: a] :
( ( $true
= ( X2 @ X4 ) )
| ( ( X0 @ X4 )
!= $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X1: a > $o,X2: a > $o,X0: a > $o] :
( ( ! [X3: a] :
( ( ( X0 @ X3 )
= $true )
=> ( ( X1 @ X3 )
= $true ) )
& ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
=> ( $true
= ( X2 @ X4 ) ) ) )
=> ! [X5: a] :
( ( $true
= ( X0 @ X5 ) )
=> ( ( $true
= ( X2 @ X5 ) )
| ( $true
= ( X1 @ X5 ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ X3 ) )
& ! [X4: a] :
( ( X0 @ X4 )
=> ( X2 @ X4 ) ) )
=> ! [X5: a] :
( ( X0 @ X5 )
=> ( ( X1 @ X5 )
| ( X2 @ X5 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a > $o,X1: a > $o,X0: a > $o] :
( ( ! [X3: a] :
( ( X2 @ X3 )
=> ( X1 @ X3 ) )
& ! [X3: a] :
( ( X2 @ X3 )
=> ( X0 @ X3 ) ) )
=> ! [X3: a] :
( ( X2 @ X3 )
=> ( ( X1 @ X3 )
| ( X0 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X2: a > $o,X1: a > $o,X0: a > $o] :
( ( ! [X3: a] :
( ( X2 @ X3 )
=> ( X1 @ X3 ) )
& ! [X3: a] :
( ( X2 @ X3 )
=> ( X0 @ X3 ) ) )
=> ! [X3: a] :
( ( X2 @ X3 )
=> ( ( X1 @ X3 )
| ( X0 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBOOL_PROP_39_pme) ).
thf(f15,plain,
! [X4: a] :
( ( $true
!= ( sK2 @ X4 ) )
| ( $true
= ( sK0 @ X4 ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f12,plain,
( $true
!= ( sK0 @ sK3 ) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET199^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % 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
% 0.12/0.31 % Computer : n014.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon May 20 11:13:38 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 This is a TH0_THM_NEQ_NAR problem
% 0.16/0.32 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
% 0.16/0.33 % (11905)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)
% 0.16/0.33 % (11906)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.33 % (11906)Instruction limit reached!
% 0.16/0.33 % (11906)------------------------------
% 0.16/0.33 % (11906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (11906)Termination reason: Unknown
% 0.16/0.33 % (11906)Termination phase: Saturation
% 0.16/0.33
% 0.16/0.33 % (11906)Memory used [KB]: 5373
% 0.16/0.33 % (11906)Time elapsed: 0.002 s
% 0.16/0.33 % (11906)Instructions burned: 2 (million)
% 0.16/0.33 % (11906)------------------------------
% 0.16/0.33 % (11906)------------------------------
% 0.16/0.33 % (11905)First to succeed.
% 0.16/0.33 % (11910)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)
% 0.16/0.33 % (11905)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (11905)------------------------------
% 0.16/0.33 % (11905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (11905)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (11905)Memory used [KB]: 5500
% 0.16/0.33 % (11905)Time elapsed: 0.002 s
% 0.16/0.33 % (11905)Instructions burned: 2 (million)
% 0.16/0.33 % (11905)------------------------------
% 0.16/0.33 % (11905)------------------------------
% 0.16/0.33 % (11902)Success in time 0.008 s
% 0.16/0.33 % Vampire---4.8 exiting
%------------------------------------------------------------------------------