TSTP Solution File: NUM653^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM653^1 : TPTP v8.1.2. Released v3.7.0.
% 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 : n017.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 08:13:55 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 163 ( 60 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 223 ( 71 ~; 22 |; 6 &; 98 @)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 0 ^ 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
y: nat ).
thf(func_def_3,type,
less: nat > nat > $o ).
thf(func_def_5,type,
more: nat > nat > $o ).
thf(f49,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f45,f48]) ).
thf(f48,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f47]) ).
thf(f47,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f46,f31]) ).
thf(f31,plain,
! [X1: nat] :
( $true
!= ( more @ X1 @ X1 ) ),
inference(equality_resolution,[],[f28]) ).
thf(f28,plain,
! [X0: nat,X1: nat] :
( ( ( more @ X1 @ X0 )
!= $true )
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f23,plain,
! [X0: nat,X1: nat] :
( ( ( ( more @ X1 @ X0 )
!= $true )
| ( $true
!= ( less @ X1 @ X0 ) ) )
& ( ( ( more @ X1 @ X0 )
!= $true )
| ( X0 != X1 ) )
& ( ( X0 != X1 )
| ( $true
!= ( less @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f22]) ).
thf(f22,plain,
! [X1: nat,X0: nat] :
( ( ( ( more @ X0 @ X1 )
!= $true )
| ( $true
!= ( less @ X0 @ X1 ) ) )
& ( ( ( more @ X0 @ X1 )
!= $true )
| ( X0 != X1 ) )
& ( ( X0 != X1 )
| ( $true
!= ( less @ X0 @ X1 ) ) ) ),
inference(flattening,[],[f21]) ).
thf(f21,plain,
! [X1: nat,X0: nat] :
( ( ( X0 != X1 )
| ( $true
!= ( less @ X0 @ X1 ) ) )
& ( ( ( more @ X0 @ X1 )
!= $true )
| ( $true
!= ( less @ X0 @ X1 ) ) )
& ( ( ( more @ X0 @ X1 )
!= $true )
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
thf(f15,plain,
! [X1: nat,X0: nat] :
~ ( ( ( X0 = X1 )
=> ( ( more @ X0 @ X1 )
!= $true ) )
=> ( ( ( ( more @ X0 @ X1 )
= $true )
=> ( $true
!= ( less @ X0 @ X1 ) ) )
=> ~ ( ( $true
= ( less @ X0 @ X1 ) )
=> ( X0 != X1 ) ) ) ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ( ( more @ X0 @ X1 )
!= $true ) )
=> ~ ~ ( ( ( ( more @ X0 @ X1 )
= $true )
=> ( $true
!= ( less @ X0 @ X1 ) ) )
=> ~ ( ( $true
= ( less @ X0 @ X1 ) )
=> ( X0 != X1 ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ ( more @ X0 @ X1 ) )
=> ~ ~ ( ( ( more @ X0 @ X1 )
=> ~ ( less @ X0 @ X1 ) )
=> ~ ( ( less @ X0 @ X1 )
=> ( X0 != X1 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X1: nat,X2: nat] :
~ ( ( ( X1 = X2 )
=> ~ ( more @ X1 @ X2 ) )
=> ~ ~ ( ( ( more @ X1 @ X2 )
=> ~ ( less @ X1 @ X2 ) )
=> ~ ( ( less @ X1 @ X2 )
=> ( X1 != X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xRXTzRA4Lb/Vampire---4.8_13847',satz10b) ).
thf(f46,plain,
( ( $true
= ( more @ x @ x ) )
| ~ spl0_1 ),
inference(superposition,[],[f26,f36]) ).
thf(f36,plain,
( ( x = y )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f34,plain,
( spl0_1
<=> ( x = y ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f26,plain,
( ( more @ x @ y )
= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
( ( more @ x @ y )
= $true ),
inference(flattening,[],[f14]) ).
thf(f14,plain,
( ( more @ x @ y )
!= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
~ ~ ( more @ x @ y ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ~ ( more @ x @ y ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
~ ( more @ x @ y ),
file('/export/starexec/sandbox/tmp/tmp.xRXTzRA4Lb/Vampire---4.8_13847',satz10d) ).
thf(f45,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f44]) ).
thf(f44,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f43,f26]) ).
thf(f43,plain,
( ( ( more @ x @ y )
!= $true )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f42,plain,
( ( ( more @ x @ y )
!= $true )
| ( $true != $true )
| ~ spl0_2 ),
inference(superposition,[],[f29,f40]) ).
thf(f40,plain,
( ( ( less @ x @ y )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f38]) ).
thf(f38,plain,
( spl0_2
<=> ( ( less @ x @ y )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f29,plain,
! [X0: nat,X1: nat] :
( ( $true
!= ( less @ X1 @ X0 ) )
| ( ( more @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f41,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f38,f34]) ).
thf(f25,plain,
( ( x = y )
| ( ( less @ x @ y )
= $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
( ( x = y )
| ( ( less @ x @ y )
= $true ) ),
inference(ennf_transformation,[],[f17]) ).
thf(f17,plain,
( ( ( less @ x @ y )
!= $true )
=> ( x = y ) ),
inference(flattening,[],[f12]) ).
thf(f12,plain,
( ( ( less @ x @ y )
!= $true )
=> ( x = y ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
( ~ ( less @ x @ y )
=> ( x = y ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ~ ( less @ x @ y )
=> ( x = y ) ),
file('/export/starexec/sandbox/tmp/tmp.xRXTzRA4Lb/Vampire---4.8_13847',l) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM653^1 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 14:53:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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.xRXTzRA4Lb/Vampire---4.8_13847
% 0.15/0.38 % (14109)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)
% 0.15/0.38 % (14109)Instruction limit reached!
% 0.15/0.38 % (14109)------------------------------
% 0.15/0.38 % (14109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14109)Termination reason: Unknown
% 0.15/0.38 % (14109)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (14109)Memory used [KB]: 895
% 0.15/0.38 % (14109)Time elapsed: 0.003 s
% 0.15/0.38 % (14109)Instructions burned: 2 (million)
% 0.15/0.38 % (14109)------------------------------
% 0.15/0.38 % (14109)------------------------------
% 0.15/0.38 % (14105)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)
% 0.15/0.38 % (14108)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38 % (14106)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 Vampire---4 for (3000ds/4Mi)
% 0.15/0.38 % (14107)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)
% 0.15/0.38 % (14111)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.15/0.38 % (14110)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)
% 0.15/0.38 % (14108)Instruction limit reached!
% 0.15/0.38 % (14108)------------------------------
% 0.15/0.38 % (14108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14112)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.15/0.38 % (14108)Termination reason: Unknown
% 0.15/0.38 % (14108)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (14108)Memory used [KB]: 895
% 0.15/0.38 % (14108)Time elapsed: 0.003 s
% 0.15/0.38 % (14108)Instructions burned: 2 (million)
% 0.15/0.38 % (14108)------------------------------
% 0.15/0.38 % (14108)------------------------------
% 0.15/0.38 % (14110)Refutation not found, incomplete strategy
% 0.15/0.38 % (14110)------------------------------
% 0.15/0.38 % (14110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14110)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (14110)Memory used [KB]: 5500
% 0.15/0.38 % (14110)Time elapsed: 0.003 s
% 0.15/0.38 % (14110)Instructions burned: 2 (million)
% 0.15/0.38 % (14110)------------------------------
% 0.15/0.38 % (14110)------------------------------
% 0.15/0.38 % (14105)First to succeed.
% 0.15/0.38 % (14106)Instruction limit reached!
% 0.15/0.38 % (14106)------------------------------
% 0.15/0.38 % (14106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14106)Termination reason: Unknown
% 0.15/0.38 % (14106)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (14106)Memory used [KB]: 5500
% 0.15/0.38 % (14106)Time elapsed: 0.005 s
% 0.15/0.38 % (14106)Instructions burned: 4 (million)
% 0.15/0.38 % (14106)------------------------------
% 0.15/0.38 % (14106)------------------------------
% 0.15/0.38 % (14107)Also succeeded, but the first one will report.
% 0.15/0.38 % (14111)Also succeeded, but the first one will report.
% 0.15/0.38 % (14105)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for Vampire---4
% 0.15/0.38 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.39 % (14105)------------------------------
% 0.15/0.39 % (14105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14105)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (14105)Memory used [KB]: 5500
% 0.15/0.39 % (14105)Time elapsed: 0.005 s
% 0.15/0.39 % (14105)Instructions burned: 2 (million)
% 0.15/0.39 % (14105)------------------------------
% 0.15/0.39 % (14105)------------------------------
% 0.15/0.39 % (14104)Success in time 0.005 s
% 0.15/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------