TSTP Solution File: SYO895^9 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO895^9 : TPTP v8.2.0. Released v8.1.0.
% 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 : n028.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 09:09:35 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 70 ( 37 unt; 16 typ; 0 def)
% Number of atoms : 258 ( 50 equ; 0 cnn)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 294 ( 15 ~; 12 |; 13 &; 212 @)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 16 usr; 7 con; 0-3 aty)
% ( 13 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 75 ( 67 ^ 8 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(func_def_0,type,
mworld: $tType ).
thf(func_def_1,type,
mrel: mworld > mworld > $o ).
thf(func_def_2,type,
mactual: mworld ).
thf(func_def_3,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_5,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
p: mworld > $o ).
thf(func_def_13,type,
q: mworld > $o ).
thf(func_def_27,type,
sK0: mworld > mworld ).
thf(func_def_29,type,
sK2: mworld ).
thf(f99,plain,
$false,
inference(avatar_sat_refutation,[],[f70,f92,f98]) ).
thf(f98,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f97]) ).
thf(f97,plain,
( $false
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f93,plain,
( ( $false = $true )
| ~ spl1_1 ),
inference(superposition,[],[f65,f77]) ).
thf(f77,plain,
( ( p @ sK2 )
= $true ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
( ( ( p @ sK2 )
= $true )
| ( $false = $true ) ),
inference(superposition,[],[f53,f60]) ).
thf(f60,plain,
( ( mrel @ mactual @ sK2 )
= $true ),
inference(binary_proxy_clausification,[],[f58]) ).
thf(f58,plain,
( ( ( mrel @ mactual @ sK2 )
=> ( ( p @ sK2 )
& ( q @ sK2 ) ) )
= $false ),
inference(beta_eta_normalization,[],[f57]) ).
thf(f57,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( p @ Y0 )
& ( q @ Y0 ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f47]) ).
thf(f47,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( p @ Y0 )
& ( q @ Y0 ) ) ) )
= $false ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f46,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( p @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( q @ Y0 ) ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( p @ Y0 )
& ( q @ Y0 ) ) ) ) )
!= $true ),
inference(beta_eta_normalization,[],[f45]) ).
thf(f45,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ p )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ q ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
@ p
@ q ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f44,f35,f40,f36,f43,f43,f43,f36]) ).
thf(f43,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f15,plain,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mworld > $o,X2: mworld] :
! [X4: mworld] :
( ( mrel @ X2 @ X4 )
=> ( X0 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(f36,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X3 @ X2 )
& ( X1 @ X2 ) ) )
= mand ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).
thf(f40,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f27,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f26]) ).
thf(f26,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
( mimplies
= ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
=> ( X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).
thf(f35,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(f44,plain,
( ( mlocal @ ( mimplies @ ( mand @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mbox @ ( mand @ p @ q ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f32]) ).
thf(f32,plain,
( ( mlocal @ ( mimplies @ ( mand @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mbox @ ( mand @ p @ q ) ) ) )
!= $true ),
inference(flattening,[],[f14]) ).
thf(f14,plain,
( ( mlocal @ ( mimplies @ ( mand @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mbox @ ( mand @ p @ q ) ) ) )
!= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
~ ( mlocal @ ( mimplies @ ( mand @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mbox @ ( mand @ p @ q ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f11,negated_conjecture,
~ ( mlocal @ ( mimplies @ ( mand @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mbox @ ( mand @ p @ q ) ) ) ),
inference(negated_conjecture,[],[f10]) ).
thf(f10,conjecture,
mlocal @ ( mimplies @ ( mand @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mbox @ ( mand @ p @ q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f53,plain,
! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
= $false )
| ( ( p @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f52]) ).
thf(f52,plain,
! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
=> ( p @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f51]) ).
thf(f51,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( p @ Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f50]) ).
thf(f50,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( p @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f48,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( p @ Y0 ) ) )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( q @ Y0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f46]) ).
thf(f65,plain,
( ( ( p @ sK2 )
= $false )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f63,plain,
( spl1_1
<=> ( ( p @ sK2 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
thf(f92,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f91]) ).
thf(f91,plain,
( $false
| ~ spl1_2 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f87,plain,
( ( $false = $true )
| ~ spl1_2 ),
inference(superposition,[],[f86,f69]) ).
thf(f69,plain,
( ( ( q @ sK2 )
= $false )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f67,plain,
( spl1_2
<=> ( ( q @ sK2 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
thf(f86,plain,
( ( q @ sK2 )
= $true ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f80,plain,
( ( $false = $true )
| ( ( q @ sK2 )
= $true ) ),
inference(superposition,[],[f56,f60]) ).
thf(f56,plain,
! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
= $false )
| ( ( q @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f55]) ).
thf(f55,plain,
! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
=> ( q @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f54]) ).
thf(f54,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( q @ Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f49]) ).
thf(f49,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( q @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f48]) ).
thf(f70,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f61,f67,f63]) ).
thf(f61,plain,
( ( ( p @ sK2 )
= $false )
| ( ( q @ sK2 )
= $false ) ),
inference(binary_proxy_clausification,[],[f59]) ).
thf(f59,plain,
( ( ( p @ sK2 )
& ( q @ sK2 ) )
= $false ),
inference(binary_proxy_clausification,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO895^9 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.13 % 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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 10:16:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a TH0_THM_EQU_NAR problem
% 0.14/0.34 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
% 0.14/0.37 % (26794)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (26796)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 (2999ds/27Mi)
% 0.14/0.38 % (26801)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.38 % (26795)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 (2999ds/4Mi)
% 0.20/0.38 % (26801)Instruction limit reached!
% 0.20/0.38 % (26801)------------------------------
% 0.20/0.38 % (26801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (26801)Termination reason: Unknown
% 0.20/0.38 % (26801)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (26801)Memory used [KB]: 5500
% 0.20/0.38 % (26801)Time elapsed: 0.003 s
% 0.20/0.38 % (26801)Instructions burned: 4 (million)
% 0.20/0.38 % (26801)------------------------------
% 0.20/0.38 % (26801)------------------------------
% 0.20/0.38 % (26795)Instruction limit reached!
% 0.20/0.38 % (26795)------------------------------
% 0.20/0.38 % (26795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (26795)Termination reason: Unknown
% 0.20/0.38 % (26795)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (26795)Memory used [KB]: 5500
% 0.20/0.38 % (26795)Time elapsed: 0.005 s
% 0.20/0.38 % (26795)Instructions burned: 4 (million)
% 0.20/0.38 % (26795)------------------------------
% 0.20/0.38 % (26795)------------------------------
% 0.20/0.38 % (26797)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.38 % (26794)First to succeed.
% 0.20/0.38 % (26797)Instruction limit reached!
% 0.20/0.38 % (26797)------------------------------
% 0.20/0.38 % (26797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (26797)Termination reason: Unknown
% 0.20/0.38 % (26797)Termination phase: Preprocessing 3
% 0.20/0.38
% 0.20/0.38 % (26797)Memory used [KB]: 895
% 0.20/0.38 % (26797)Time elapsed: 0.003 s
% 0.20/0.38 % (26797)Instructions burned: 2 (million)
% 0.20/0.38 % (26797)------------------------------
% 0.20/0.38 % (26797)------------------------------
% 0.20/0.38 % (26794)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (26794)------------------------------
% 0.20/0.38 % (26794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (26794)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (26794)Memory used [KB]: 5500
% 0.20/0.38 % (26794)Time elapsed: 0.008 s
% 0.20/0.38 % (26794)Instructions burned: 5 (million)
% 0.20/0.38 % (26794)------------------------------
% 0.20/0.38 % (26794)------------------------------
% 0.20/0.38 % (26793)Success in time 0.033 s
% 0.20/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------