TSTP Solution File: NUM769^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM769^1 : 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 : n008.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 08:15:23 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 95 ( 27 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 163 ( 17 ~; 8 |; 0 &; 132 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
frac: $tType ).
thf(func_def_0,type,
frac: $tType ).
thf(func_def_1,type,
x: frac ).
thf(func_def_2,type,
y: frac ).
thf(func_def_3,type,
moref: frac > frac > $o ).
thf(func_def_5,type,
eq: frac > frac > $o ).
thf(func_def_6,type,
pf: frac > frac > frac ).
thf(func_def_7,type,
mf: frac > frac > frac ).
thf(f30,plain,
$false,
inference(subsumption_resolution,[],[f29,f22]) ).
thf(f22,plain,
( ( moref @ x @ y )
= $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( moref @ x @ y )
= $true ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
moref @ x @ y,
inference(rectify,[],[f1]) ).
thf(f1,axiom,
moref @ x @ y,
file('/export/starexec/sandbox/tmp/tmp.39xRNdn21v/Vampire---4.8_8151',m) ).
thf(f29,plain,
( ( moref @ x @ y )
!= $true ),
inference(trivial_inequality_removal,[],[f28]) ).
thf(f28,plain,
( ( $true != $true )
| ( ( moref @ x @ y )
!= $true ) ),
inference(superposition,[],[f25,f23]) ).
thf(f23,plain,
! [X0: frac,X1: frac] :
( ( ( eq @ ( pf @ X1 @ ( mf @ X0 @ X1 ) ) @ X0 )
= $true )
| ( ( moref @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: frac,X1: frac] :
( ( ( moref @ X0 @ X1 )
!= $true )
| ( ( eq @ ( pf @ X1 @ ( mf @ X0 @ X1 ) ) @ X0 )
= $true ) ),
inference(rectify,[],[f17]) ).
thf(f17,plain,
! [X1: frac,X0: frac] :
( ( $true
!= ( moref @ X1 @ X0 ) )
| ( $true
= ( eq @ ( pf @ X0 @ ( mf @ X1 @ X0 ) ) @ X1 ) ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f10,plain,
! [X1: frac,X0: frac] :
( ( $true
= ( moref @ X1 @ X0 ) )
=> ( $true
= ( eq @ ( pf @ X0 @ ( mf @ X1 @ X0 ) ) @ X1 ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: frac,X1: frac] :
( ( moref @ X1 @ X0 )
=> ( eq @ ( pf @ X0 @ ( mf @ X1 @ X0 ) ) @ X1 ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X1: frac,X0: frac] :
( ( moref @ X0 @ X1 )
=> ( eq @ ( pf @ X1 @ ( mf @ X0 @ X1 ) ) @ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.39xRNdn21v/Vampire---4.8_8151',satz67c) ).
thf(f25,plain,
( ( eq @ ( pf @ y @ ( mf @ x @ y ) ) @ x )
!= $true ),
inference(trivial_inequality_removal,[],[f24]) ).
thf(f24,plain,
( ( ( eq @ ( pf @ y @ ( mf @ x @ y ) ) @ x )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f20,f21]) ).
thf(f21,plain,
! [X0: frac,X1: frac] :
( ( ( eq @ X0 @ X1 )
= $true )
| ( ( eq @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: frac,X1: frac] :
( ( ( eq @ X0 @ X1 )
= $true )
| ( ( eq @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f16]) ).
thf(f16,plain,
! [X1: frac,X0: frac] :
( ( ( eq @ X1 @ X0 )
= $true )
| ( ( eq @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f14]) ).
thf(f14,plain,
! [X0: frac,X1: frac] :
( ( ( eq @ X0 @ X1 )
= $true )
=> ( ( eq @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
! [X0: frac,X1: frac] :
( ( eq @ X0 @ X1 )
=> ( eq @ X1 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: frac,X1: frac] :
( ( eq @ X0 @ X1 )
=> ( eq @ X1 @ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.39xRNdn21v/Vampire---4.8_8151',satz38) ).
thf(f20,plain,
( ( eq @ x @ ( pf @ y @ ( mf @ x @ y ) ) )
!= $true ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( ( eq @ x @ ( pf @ y @ ( mf @ x @ y ) ) )
!= $true ),
inference(flattening,[],[f8]) ).
thf(f8,plain,
( ( eq @ x @ ( pf @ y @ ( mf @ x @ y ) ) )
!= $true ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ( eq @ x @ ( pf @ y @ ( mf @ x @ y ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ( eq @ x @ ( pf @ y @ ( mf @ x @ y ) ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
eq @ x @ ( pf @ y @ ( mf @ x @ y ) ),
file('/export/starexec/sandbox/tmp/tmp.39xRNdn21v/Vampire---4.8_8151',satz67d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM769^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.14 % 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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 15:23:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.35 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.39xRNdn21v/Vampire---4.8_8151
% 0.13/0.37 % (8260)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.13/0.37 % (8263)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.13/0.37 % (8263)Instruction limit reached!
% 0.13/0.37 % (8263)------------------------------
% 0.13/0.37 % (8263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (8263)Termination reason: Unknown
% 0.13/0.37 % (8263)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (8263)Memory used [KB]: 5500
% 0.13/0.37 % (8263)Time elapsed: 0.003 s
% 0.13/0.37 % (8263)Instructions burned: 2 (million)
% 0.13/0.37 % (8263)------------------------------
% 0.13/0.37 % (8263)------------------------------
% 0.13/0.37 % (8260)First to succeed.
% 0.13/0.37 % (8260)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for Vampire---4
% 0.13/0.37 % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.37 % (8260)------------------------------
% 0.13/0.37 % (8260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (8260)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (8260)Memory used [KB]: 5500
% 0.13/0.37 % (8260)Time elapsed: 0.003 s
% 0.13/0.37 % (8260)Instructions burned: 2 (million)
% 0.13/0.37 % (8260)------------------------------
% 0.13/0.37 % (8260)------------------------------
% 0.13/0.37 % (8259)Success in time 0.003 s
% 0.13/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------