TSTP Solution File: SET159^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET159^5 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 : Sun May 5 09:04:26 EDT 2024
% Result : Theorem 0.16s 0.38s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 63 ( 16 unt; 7 typ; 0 def)
% Number of atoms : 298 ( 75 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 316 ( 34 ~; 121 |; 0 &; 154 @)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 39 ( 20 ^ 12 !; 6 ?; 39 :)
% ( 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 > $o ).
thf(func_def_11,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
sK5: a ).
thf(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f66,f67,f71,f75,f79,f82]) ).
thf(f82,plain,
( ~ spl3_1
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f81]) ).
thf(f81,plain,
( $false
| ~ spl3_1
| ~ spl3_6 ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f80,plain,
( ( $true = $false )
| ~ spl3_1
| ~ spl3_6 ),
inference(forward_demodulation,[],[f42,f64]) ).
thf(f64,plain,
( ( $false
= ( sK0 @ sK5 ) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f62,plain,
( spl3_6
<=> ( $false
= ( sK0 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
thf(f42,plain,
( ( $true
= ( sK0 @ sK5 ) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f40,plain,
( spl3_1
<=> ( $true
= ( sK0 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
thf(f79,plain,
( ~ spl3_3
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f78]) ).
thf(f78,plain,
( $false
| ~ spl3_3
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f77,plain,
( ( $true = $false )
| ~ spl3_3
| ~ spl3_5 ),
inference(forward_demodulation,[],[f50,f59]) ).
thf(f59,plain,
( ( ( sK2 @ sK5 )
= $false )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f57]) ).
thf(f57,plain,
( spl3_5
<=> ( ( sK2 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
thf(f50,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f48,plain,
( spl3_3
<=> ( $true
= ( sK2 @ sK5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
thf(f75,plain,
( ~ spl3_2
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f74]) ).
thf(f74,plain,
( $false
| ~ spl3_2
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f73,plain,
( ( $true = $false )
| ~ spl3_2
| ~ spl3_4 ),
inference(backward_demodulation,[],[f46,f55]) ).
thf(f55,plain,
( ( ( sK1 @ sK5 )
= $false )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f53,plain,
( spl3_4
<=> ( ( sK1 @ sK5 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
thf(f46,plain,
( ( ( sK1 @ sK5 )
= $true )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f44,plain,
( spl3_2
<=> ( ( sK1 @ sK5 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
thf(f71,plain,
spl3_6,
inference(avatar_split_clause,[],[f22,f62]) ).
thf(f22,plain,
( $false
= ( sK0 @ sK5 ) ),
inference(duplicate_literal_removal,[],[f20]) ).
thf(f20,plain,
( ( $false
= ( sK0 @ sK5 ) )
| ( $false
= ( sK0 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( ( $false
= ( sK0 @ sK5 ) )
| ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
( ( $false
= ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
| ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f15,plain,
( ( $false
= ( ( sK1 @ sK5 )
| ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
| ( $false
= ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f13,plain,
( ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
= $false )
| ( $false
= ( ( sK1 @ sK5 )
| ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[],[f11]) ).
thf(f11,plain,
( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
!= ( ( sK1 @ sK5 )
| ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) ),
inference(beta_eta_normalization,[],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: a] :
( ( sK0 @ Y0 )
| ( sK2 @ Y0 )
| ( sK1 @ Y0 ) )
@ sK5 )
!= ( ^ [Y0: a] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 )
| ( sK2 @ Y0 ) )
@ sK5 ) ),
inference(negative_extensionality,[],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 )
| ( sK2 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( sK0 @ Y0 )
| ( sK2 @ Y0 )
| ( sK1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 )
| ( sK2 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( sK0 @ Y0 )
| ( sK2 @ Y0 )
| ( sK1 @ Y0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7]) ).
thf(f7,plain,
( ? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( X1 @ Y0 )
| ( X0 @ Y0 )
| ( X2 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( X0 @ Y0 )
| ( X2 @ Y0 )
| ( X1 @ Y0 ) ) ) )
=> ( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 )
| ( sK2 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( sK0 @ Y0 )
| ( sK2 @ Y0 )
| ( sK1 @ Y0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
? [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( X1 @ Y0 )
| ( X0 @ Y0 )
| ( X2 @ Y0 ) ) )
!= ( ^ [Y0: a] :
( ( X0 @ Y0 )
| ( X2 @ Y0 )
| ( X1 @ Y0 ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [Y0: a] :
( ( X1 @ Y0 )
| ( X0 @ Y0 )
| ( X2 @ Y0 ) ) )
= ( ^ [Y0: a] :
( ( X0 @ Y0 )
| ( X2 @ Y0 )
| ( X1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( X1 @ X3 )
| ( X2 @ X3 )
| ( X0 @ X3 ) ) )
= ( ^ [X4: a] :
( ( X2 @ X4 )
| ( X0 @ X4 )
| ( X1 @ X4 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( X1 @ X3 )
| ( X2 @ X3 )
| ( X0 @ X3 ) ) )
= ( ^ [X3: a] :
( ( X2 @ X3 )
| ( X0 @ X3 )
| ( X1 @ X3 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > $o,X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( X1 @ X3 )
| ( X2 @ X3 )
| ( X0 @ X3 ) ) )
= ( ^ [X3: a] :
( ( X2 @ X3 )
| ( X0 @ X3 )
| ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.5XBuXfzt5d/Vampire---4.8_18808',cBOOL_PROP_64_pme) ).
thf(f67,plain,
spl3_5,
inference(avatar_split_clause,[],[f27,f57]) ).
thf(f27,plain,
( ( sK2 @ sK5 )
= $false ),
inference(duplicate_literal_removal,[],[f25]) ).
thf(f25,plain,
( ( ( sK2 @ sK5 )
= $false )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f16]) ).
thf(f16,plain,
( ( $false
= ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
| ( ( sK2 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f15]) ).
thf(f66,plain,
spl3_4,
inference(avatar_split_clause,[],[f32,f53]) ).
thf(f32,plain,
( ( sK1 @ sK5 )
= $false ),
inference(duplicate_literal_removal,[],[f31]) ).
thf(f31,plain,
( ( ( sK1 @ sK5 )
= $false )
| ( ( sK1 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f29]) ).
thf(f29,plain,
( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $false )
| ( ( sK1 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
( ( $false
= ( ( sK1 @ sK5 )
| ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
| ( ( sK1 @ sK5 )
= $false ) ),
inference(binary_proxy_clausification,[],[f13]) ).
thf(f51,plain,
( spl3_1
| spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f38,f48,f44,f40]) ).
thf(f38,plain,
( ( $true
= ( sK0 @ sK5 ) )
| ( ( sK1 @ sK5 )
= $true )
| ( $true
= ( sK2 @ sK5 ) ) ),
inference(duplicate_literal_removal,[],[f37]) ).
thf(f37,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( sK2 @ sK5 ) )
| ( $true
= ( sK0 @ sK5 ) )
| ( $true
= ( sK0 @ sK5 ) )
| ( ( sK1 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f36]) ).
thf(f36,plain,
( ( $true
= ( sK0 @ sK5 ) )
| ( $true
= ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
= $true )
| ( $true
= ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) ) ),
inference(duplicate_literal_removal,[],[f35]) ).
thf(f35,plain,
( ( $true
= ( sK2 @ sK5 ) )
| ( ( sK1 @ sK5 )
= $true )
| ( $true
= ( ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
| ( ( sK1 @ sK5 )
= $true )
| ( $true
= ( sK0 @ sK5 ) ) ),
inference(binary_proxy_clausification,[],[f34]) ).
thf(f34,plain,
( ( $true
= ( sK0 @ sK5 ) )
| ( $true
= ( sK2 @ sK5 ) )
| ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
= $true )
| ( ( sK1 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
( ( $true
= ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) ) )
| ( $true
= ( sK2 @ sK5 ) )
| ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f12]) ).
thf(f12,plain,
( ( $true
= ( ( sK1 @ sK5 )
| ( sK0 @ sK5 )
| ( sK2 @ sK5 ) ) )
| ( ( ( sK0 @ sK5 )
| ( sK2 @ sK5 )
| ( sK1 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET159^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 16:29:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH0_THM_EQU_NAR problem
% 0.16/0.36 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/sandbox/tmp/tmp.5XBuXfzt5d/Vampire---4.8_18808
% 0.16/0.38 % (19063)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.16/0.38 % (19063)First to succeed.
% 0.16/0.38 % (19059)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 Vampire---4 for (3000ds/27Mi)
% 0.16/0.38 % (19057)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.16/0.38 % (19060)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.38 % (19061)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.38 % (19062)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.16/0.38 % (19063)Refutation found. Thanks to Tanya!
% 0.16/0.38 % SZS status Theorem for Vampire---4
% 0.16/0.38 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.38 % (19063)------------------------------
% 0.16/0.38 % (19063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (19063)Termination reason: Refutation
% 0.16/0.38
% 0.16/0.38 % (19063)Memory used [KB]: 5500
% 0.16/0.38 % (19063)Time elapsed: 0.004 s
% 0.16/0.38 % (19063)Instructions burned: 3 (million)
% 0.16/0.38 % (19063)------------------------------
% 0.16/0.38 % (19063)------------------------------
% 0.16/0.38 % (19056)Success in time 0.003 s
% 0.16/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------