TSTP Solution File: SYO537^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO537^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 09:06:08 EDT 2024
% Result : Theorem 0.16s 0.32s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 51 ( 16 unt; 11 typ; 0 def)
% Number of atoms : 172 ( 44 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 287 ( 19 ~; 14 |; 4 &; 218 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 193 ( 193 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 6 con; 0-2 aty)
% ( 0 !!; 23 ??; 0 @@+; 0 @@-)
% Number of variables : 88 ( 46 ^ 20 !; 20 ?; 88 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
epsii: ( ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_2,type,
epsa: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_3,type,
epsb: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_4,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_12,type,
sK0: ( $i > $i ) > ( $i > $i ) > $o ).
thf(func_def_13,type,
sK1: $i > $i ).
thf(func_def_14,type,
sK2: $i > $i ).
thf(func_def_16,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK5: $i > $i ).
thf(func_def_18,type,
sK6: $i > $i ).
thf(func_def_19,type,
sK7: $i > $i ).
thf(f73,plain,
$false,
inference(avatar_sat_refutation,[],[f40,f64,f65,f72]) ).
thf(f72,plain,
( spl3_4
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f71,f34,f46]) ).
thf(f46,plain,
( spl3_4
<=> ! [X2: $i > $i,X1: $i > $i] :
( $false
= ( sK0 @ X1 @ X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
thf(f34,plain,
( spl3_1
<=> ! [X1: $i > $i] :
( ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) )
@ X1 )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
thf(f71,plain,
( ! [X2: $i > $i,X1: $i > $i] :
( $false
= ( sK0 @ X1 @ X2 ) )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f70,plain,
( ! [X2: $i > $i,X1: $i > $i] :
( ( $false
= ( sK0 @ X1 @ X2 ) )
| ( $false = $true ) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f69,f35]) ).
thf(f35,plain,
( ! [X1: $i > $i] :
( ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) )
@ X1 )
= $false )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f69,plain,
! [X2: $i > $i,X1: $i > $i] :
( ( $true
= ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) )
@ sK7 ) )
| ( $false
= ( sK0 @ X1 @ X2 ) ) ),
inference(pi_clausification,[],[f68]) ).
thf(f68,plain,
! [X1: $i > $i] :
( ( $true
= ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) )
@ sK7 ) )
| ( $false
= ( ?? @ ( $i > $i ) @ ( sK0 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f67]) ).
thf(f67,plain,
! [X1: $i > $i] :
( ( $true
= ( ?? @ ( $i > $i )
@ ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) ) ) ) )
| ( $false
= ( ?? @ ( $i > $i ) @ ( sK0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f66]) ).
thf(f66,plain,
! [X1: $i > $i] :
( ( ( ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) )
@ X1 )
= $false )
| ( $true
= ( ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) )
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f65,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f27,f37]) ).
thf(f37,plain,
( spl3_2
<=> ( ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) )
@ ( epsii
@ ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) ) ) ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
thf(f27,plain,
( ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) )
@ ( epsii
@ ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) ) ) ) )
!= $true ),
inference(beta_eta_normalization,[],[f26]) ).
thf(f26,plain,
( $true
!= ( sK0
@ ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] :
( ?? @ ( $i > $i )
@ ^ [Y2: $i > $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ sK0 )
@ ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] :
( Y0
@ ( ^ [Y2: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y3: $i > $i] :
( ?? @ ( $i > $i )
@ ^ [Y4: $i > $i] : ( Y2 @ Y3 @ Y4 ) ) )
@ Y0 )
@ Y1 ) )
@ sK0 ) ) ),
inference(definition_unfolding,[],[f21,f22,f25]) ).
thf(f25,plain,
( epsb
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] :
( Y0
@ ( ^ [Y2: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y3: $i > $i] :
( ?? @ ( $i > $i )
@ ^ [Y4: $i > $i] : ( Y2 @ Y3 @ Y4 ) ) )
@ Y0 )
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f23,f22]) ).
thf(f23,plain,
( epsb
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( Y0 @ ( epsa @ Y0 ) @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( epsb
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( Y0 @ ( epsa @ Y0 ) @ Y1 ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
( ( ^ [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] : ( X0 @ ( epsa @ X0 ) @ X1 ) ) )
= epsb ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( ( ^ [X2: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X3: $i > $i] : ( X2 @ ( epsa @ X2 ) @ X3 ) ) )
= epsb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsbd) ).
thf(f22,plain,
( epsa
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] :
( ?? @ ( $i > $i )
@ ^ [Y2: $i > $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( epsa
= ( ^ [Y0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] :
( ?? @ ( $i > $i )
@ ^ [Y2: $i > $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
( epsa
= ( ^ [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] :
? [X2: $i > $i] : ( X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( epsa
= ( ^ [X2: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] :
? [X3: $i > $i] : ( X2 @ X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsad) ).
thf(f21,plain,
( ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
( ( ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) )
!= $true )
& ( ( sK0 @ sK2 @ sK1 )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f18,f17]) ).
thf(f17,plain,
( ? [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ( $true
!= ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) )
& ? [X1: $i > $i,X2: $i > $i] :
( $true
= ( X0 @ X2 @ X1 ) ) )
=> ( ( ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) )
!= $true )
& ? [X2: $i > $i,X1: $i > $i] :
( ( sK0 @ X2 @ X1 )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f18,plain,
( ? [X2: $i > $i,X1: $i > $i] :
( ( sK0 @ X2 @ X1 )
= $true )
=> ( ( sK0 @ sK2 @ sK1 )
= $true ) ),
introduced(choice_axiom,[]) ).
thf(f15,plain,
? [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ( $true
!= ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) )
& ? [X1: $i > $i,X2: $i > $i] :
( $true
= ( X0 @ X2 @ X1 ) ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f12,plain,
~ ! [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X1: $i > $i,X2: $i > $i] :
( $true
= ( X0 @ X2 @ X1 ) )
=> ( $true
= ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
~ ! [X0: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X1: $i > $i,X2: $i > $i] : ( X0 @ X2 @ X1 )
=> ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ! [X2: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X3: $i > $i,X1: $i > $i] : ( X2 @ X1 @ X3 )
=> ( X2 @ ( epsa @ X2 ) @ ( epsb @ X2 ) ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
! [X2: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X3: $i > $i,X1: $i > $i] : ( X2 @ X1 @ X3 )
=> ( X2 @ ( epsa @ X2 ) @ ( epsb @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f64,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f63]) ).
thf(f63,plain,
( $false
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f58,plain,
( ( $false = $true )
| ~ spl3_4 ),
inference(backward_demodulation,[],[f20,f47]) ).
thf(f47,plain,
( ! [X2: $i > $i,X1: $i > $i] :
( $false
= ( sK0 @ X1 @ X2 ) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f46]) ).
thf(f20,plain,
( ( sK0 @ sK2 @ sK1 )
= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f40,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f29,f37,f34]) ).
thf(f29,plain,
! [X1: $i > $i] :
( ( ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) )
@ ( epsii
@ ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) ) ) ) )
= $true )
| ( ( sK0
@ ( epsii
@ ^ [Y0: $i > $i] : ( ?? @ ( $i > $i ) @ ( sK0 @ Y0 ) ) )
@ X1 )
= $false ) ),
introduced(choice_axiom,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO537^1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.10 % 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
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 09:09:53 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a TH0_THM_EQU_NAR problem
% 0.09/0.30 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/benchmark/theBenchmark.p
% 0.16/0.32 % (14117)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)
% 0.16/0.32 % (14116)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.16/0.32 % (14114)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.32 % (14112)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)
% 0.16/0.32 % (14115)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.16/0.32 % (14111)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 (3000ds/4Mi)
% 0.16/0.32 % (14110)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.16/0.32 % (14114)Instruction limit reached!
% 0.16/0.32 % (14114)------------------------------
% 0.16/0.32 % (14114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32 % (14114)Termination reason: Unknown
% 0.16/0.32 % (14114)Termination phase: Saturation
% 0.16/0.32
% 0.16/0.32 % (14114)Memory used [KB]: 5500
% 0.16/0.32 % (14114)Time elapsed: 0.003 s
% 0.16/0.32 % (14114)Instructions burned: 3 (million)
% 0.16/0.32 % (14114)------------------------------
% 0.16/0.32 % (14114)------------------------------
% 0.16/0.32 % (14117)Instruction limit reached!
% 0.16/0.32 % (14117)------------------------------
% 0.16/0.32 % (14117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32 % (14117)Termination reason: Unknown
% 0.16/0.32 % (14117)Termination phase: Saturation
% 0.16/0.32
% 0.16/0.32 % (14117)Memory used [KB]: 5500
% 0.16/0.32 % (14117)Time elapsed: 0.003 s
% 0.16/0.32 % (14117)Instructions burned: 3 (million)
% 0.16/0.32 % (14117)------------------------------
% 0.16/0.32 % (14117)------------------------------
% 0.16/0.32 % (14115)Refutation not found, incomplete strategy
% 0.16/0.32 % (14115)------------------------------
% 0.16/0.32 % (14115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32 % (14115)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.32
% 0.16/0.32
% 0.16/0.32 % (14115)Memory used [KB]: 5500
% 0.16/0.32 % (14115)Time elapsed: 0.002 s
% 0.16/0.32 % (14115)Instructions burned: 2 (million)
% 0.16/0.32 % (14115)------------------------------
% 0.16/0.32 % (14115)------------------------------
% 0.16/0.32 % (14111)Instruction limit reached!
% 0.16/0.32 % (14111)------------------------------
% 0.16/0.32 % (14111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32 % (14111)Termination reason: Unknown
% 0.16/0.32 % (14111)Termination phase: Saturation
% 0.16/0.32
% 0.16/0.32 % (14111)Memory used [KB]: 5500
% 0.16/0.32 % (14111)Time elapsed: 0.003 s
% 0.16/0.32 % (14111)Instructions burned: 4 (million)
% 0.16/0.32 % (14111)------------------------------
% 0.16/0.32 % (14111)------------------------------
% 0.16/0.32 % (14112)First to succeed.
% 0.16/0.32 % (14113)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.32 % (14113)Instruction limit reached!
% 0.16/0.32 % (14113)------------------------------
% 0.16/0.32 % (14113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32 % (14113)Termination reason: Unknown
% 0.16/0.32 % (14113)Termination phase: Saturation
% 0.16/0.32
% 0.16/0.32 % (14113)Memory used [KB]: 5373
% 0.16/0.32 % (14113)Time elapsed: 0.002 s
% 0.16/0.32 % (14113)Instructions burned: 2 (million)
% 0.16/0.32 % (14113)------------------------------
% 0.16/0.32 % (14113)------------------------------
% 0.16/0.32 % (14112)Refutation found. Thanks to Tanya!
% 0.16/0.32 % SZS status Theorem for theBenchmark
% 0.16/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.32 % (14112)------------------------------
% 0.16/0.32 % (14112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.32 % (14112)Termination reason: Refutation
% 0.16/0.32
% 0.16/0.32 % (14112)Memory used [KB]: 5500
% 0.16/0.32 % (14112)Time elapsed: 0.004 s
% 0.16/0.32 % (14112)Instructions burned: 4 (million)
% 0.16/0.32 % (14112)------------------------------
% 0.16/0.32 % (14112)------------------------------
% 0.16/0.32 % (14105)Success in time 0.006 s
% 0.16/0.32 % Vampire---4.8 exiting
%------------------------------------------------------------------------------