TSTP Solution File: NUM666^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM666^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 08:14:06 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 174 ( 42 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 208 ( 22 ~; 15 |; 0 &; 162 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 57 ( 22 ^ 33 !; 0 ?; 57 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% 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,
z: nat ).
thf(func_def_4,type,
some: ( nat > $o ) > $o ).
thf(func_def_5,type,
diffprop: nat > nat > nat > $o ).
thf(func_def_7,type,
moreis: nat > nat > $o ).
thf(func_def_8,type,
lessis: nat > nat > $o ).
thf(func_def_9,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_15,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f38,plain,
$false,
inference(trivial_inequality_removal,[],[f37]) ).
thf(f37,plain,
$true != $true,
inference(superposition,[],[f28,f35]) ).
thf(f35,plain,
( ( some @ ( diffprop @ x @ z ) )
= $true ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f34,plain,
( ( ( some @ ( diffprop @ x @ z ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f33,f31]) ).
thf(f31,plain,
( ( lessis @ z @ y )
= $true ),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f30,plain,
( ( $true != $true )
| ( ( lessis @ z @ y )
= $true ) ),
inference(superposition,[],[f25,f26]) ).
thf(f26,plain,
( ( moreis @ y @ z )
= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ( moreis @ y @ z )
= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
moreis @ y @ z,
inference(rectify,[],[f2]) ).
thf(f2,axiom,
moreis @ y @ z,
file('/export/starexec/sandbox2/tmp/tmp.1OTesddjnd/Vampire---4.8_31605',n) ).
thf(f25,plain,
! [X0: nat,X1: nat] :
( ( $true
!= ( moreis @ X0 @ X1 ) )
| ( ( lessis @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f21,plain,
! [X0: nat,X1: nat] :
( ( ( lessis @ X1 @ X0 )
= $true )
| ( $true
!= ( moreis @ X0 @ X1 ) ) ),
inference(ennf_transformation,[],[f17]) ).
thf(f17,plain,
! [X0: nat,X1: nat] :
( ( $true
= ( moreis @ X0 @ X1 ) )
=> ( ( lessis @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f16,plain,
! [X0: nat,X1: nat] :
( ( moreis @ X0 @ X1 )
=> ( lessis @ X1 @ X0 ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X1: nat,X2: nat] :
( ( moreis @ X1 @ X2 )
=> ( lessis @ X2 @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.1OTesddjnd/Vampire---4.8_31605',satz13) ).
thf(f33,plain,
! [X0: nat] :
( ( ( lessis @ X0 @ y )
!= $true )
| ( $true
= ( some @ ( diffprop @ x @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f32]) ).
thf(f32,plain,
! [X0: nat] :
( ( ( lessis @ X0 @ y )
!= $true )
| ( $true
= ( some @ ( diffprop @ x @ X0 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f27,f29]) ).
thf(f29,plain,
( ( some @ ( diffprop @ x @ y ) )
= $true ),
inference(beta_eta_normalization,[],[f23]) ).
thf(f23,plain,
( ( some
@ ^ [Y0: nat] : ( diffprop @ x @ y @ Y0 ) )
= $true ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( ( some
@ ^ [Y0: nat] : ( diffprop @ x @ y @ Y0 ) )
= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f14,plain,
( some
@ ^ [X0: nat] : ( diffprop @ x @ y @ X0 ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( some
@ ^ [X0: nat] : ( diffprop @ x @ y @ X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.1OTesddjnd/Vampire---4.8_31605',m) ).
thf(f27,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( some @ ( diffprop @ X1 @ X2 ) )
!= $true )
| ( ( lessis @ X0 @ X2 )
!= $true )
| ( $true
= ( some @ ( diffprop @ X1 @ X0 ) ) ) ),
inference(beta_eta_normalization,[],[f24]) ).
thf(f24,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( ( some
@ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) )
!= $true )
| ( ( lessis @ X0 @ X2 )
!= $true )
| ( ( some
@ ^ [Y0: nat] : ( diffprop @ X1 @ X0 @ Y0 ) )
= $true ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( some
@ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) )
!= $true )
| ( ( lessis @ X0 @ X2 )
!= $true )
| ( ( some
@ ^ [Y0: nat] : ( diffprop @ X1 @ X0 @ Y0 ) )
= $true ) ),
inference(flattening,[],[f19]) ).
thf(f19,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( some
@ ^ [Y0: nat] : ( diffprop @ X1 @ X0 @ Y0 ) )
= $true )
| ( ( some
@ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) )
!= $true )
| ( ( lessis @ X0 @ X2 )
!= $true ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f13,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ( lessis @ X0 @ X2 )
= $true )
=> ( ( ( some
@ ^ [Y0: nat] : ( diffprop @ X1 @ X2 @ Y0 ) )
= $true )
=> ( ( some
@ ^ [Y0: nat] : ( diffprop @ X1 @ X0 @ Y0 ) )
= $true ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f12,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( lessis @ X0 @ X2 )
=> ( ( some
@ ^ [X3: nat] : ( diffprop @ X1 @ X2 @ X3 ) )
=> ( some
@ ^ [X4: nat] : ( diffprop @ X1 @ X0 @ X4 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X1: nat,X3: nat,X2: nat] :
( ( lessis @ X1 @ X2 )
=> ( ( some
@ ^ [X4: nat] : ( diffprop @ X3 @ X2 @ X4 ) )
=> ( some
@ ^ [X4: nat] : ( diffprop @ X3 @ X1 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.1OTesddjnd/Vampire---4.8_31605',satz16a) ).
thf(f28,plain,
( ( some @ ( diffprop @ x @ z ) )
!= $true ),
inference(beta_eta_normalization,[],[f22]) ).
thf(f22,plain,
( ( some
@ ^ [Y0: nat] : ( diffprop @ x @ z @ Y0 ) )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
( ( some
@ ^ [Y0: nat] : ( diffprop @ x @ z @ Y0 ) )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f11,plain,
( ( some
@ ^ [Y0: nat] : ( diffprop @ x @ z @ Y0 ) )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
~ ( some
@ ^ [X0: nat] : ( diffprop @ x @ z @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f6,negated_conjecture,
~ ( some
@ ^ [X0: nat] : ( diffprop @ x @ z @ X0 ) ),
inference(negated_conjecture,[],[f5]) ).
thf(f5,conjecture,
( some
@ ^ [X0: nat] : ( diffprop @ x @ z @ X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.1OTesddjnd/Vampire---4.8_31605',satz16d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM666^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n029.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 15:02:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_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/sandbox2/tmp/tmp.1OTesddjnd/Vampire---4.8_31605
% 0.15/0.38 % (31750)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 (2999ds/4Mi)
% 0.15/0.38 % (31752)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.38 % (31751)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 (2999ds/27Mi)
% 0.15/0.38 % (31754)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 (2999ds/275Mi)
% 0.15/0.38 % (31753)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 (2999ds/2Mi)
% 0.15/0.38 % (31755)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.38 % (31752)Instruction limit reached!
% 0.15/0.38 % (31752)------------------------------
% 0.15/0.38 % (31752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31752)Termination reason: Unknown
% 0.15/0.38 % (31752)Termination phase: Saturation
% 0.15/0.38 % (31753)Instruction limit reached!
% 0.15/0.38 % (31753)------------------------------
% 0.15/0.38 % (31753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31753)Termination reason: Unknown
% 0.15/0.38 % (31753)Termination phase: Preprocessing 3
% 0.15/0.38
% 0.15/0.38 % (31753)Memory used [KB]: 895
% 0.15/0.38 % (31753)Time elapsed: 0.003 s
% 0.15/0.38 % (31753)Instructions burned: 2 (million)
% 0.15/0.38 % (31753)------------------------------
% 0.15/0.38 % (31753)------------------------------
% 0.15/0.38
% 0.15/0.38 % (31752)Memory used [KB]: 5373
% 0.15/0.38 % (31752)Time elapsed: 0.003 s
% 0.15/0.38 % (31752)Instructions burned: 2 (million)
% 0.15/0.38 % (31752)------------------------------
% 0.15/0.38 % (31752)------------------------------
% 0.15/0.38 % (31754)Refutation not found, incomplete strategy
% 0.15/0.38 % (31754)------------------------------
% 0.15/0.38 % (31754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31754)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (31754)Memory used [KB]: 5500
% 0.15/0.38 % (31754)Time elapsed: 0.003 s
% 0.15/0.38 % (31754)Instructions burned: 2 (million)
% 0.15/0.38 % (31754)------------------------------
% 0.15/0.38 % (31754)------------------------------
% 0.15/0.38 % (31750)Instruction limit reached!
% 0.15/0.38 % (31750)------------------------------
% 0.15/0.38 % (31750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31750)Termination reason: Unknown
% 0.15/0.38 % (31750)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (31750)Memory used [KB]: 5500
% 0.15/0.38 % (31750)Time elapsed: 0.005 s
% 0.15/0.38 % (31750)Instructions burned: 4 (million)
% 0.15/0.38 % (31750)------------------------------
% 0.15/0.38 % (31750)------------------------------
% 0.15/0.38 % (31751)First to succeed.
% 0.15/0.38 % (31751)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
% 0.15/0.38 % (31751)------------------------------
% 0.15/0.38 % (31751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (31751)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (31751)Memory used [KB]: 5500
% 0.15/0.38 % (31751)Time elapsed: 0.006 s
% 0.15/0.38 % (31751)Instructions burned: 3 (million)
% 0.15/0.38 % (31751)------------------------------
% 0.15/0.38 % (31751)------------------------------
% 0.15/0.38 % (31748)Success in time 0.008 s
% 0.15/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------