TSTP Solution File: SYO363^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO363^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 09:04:09 EDT 2024
% Result : Theorem 0.18s 0.36s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 10 unt; 10 typ; 0 def)
% Number of atoms : 66 ( 41 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 157 ( 17 ~; 1 |; 18 &; 112 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 ^ 31 !; 4 ?; 36 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
j: a > a ).
thf(func_def_2,type,
g: ( a > a ) > a > a ).
thf(func_def_3,type,
h: a > a ).
thf(func_def_4,type,
f: ( a > a ) > a > a ).
thf(func_def_8,type,
sK0: ( a > a ) > $o ).
thf(func_def_10,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
sK3: a ).
thf(func_def_12,type,
sK4: a ).
thf(f21,plain,
$false,
inference(subsumption_resolution,[],[f20,f13]) ).
thf(f13,plain,
! [X2: a] :
( ( h @ X2 )
= ( j @ X2 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( ! [X0: a > a,X1: a] :
( ( f @ X0 @ X1 )
= ( g @ X0 @ X1 ) )
& ! [X2: a] :
( ( h @ X2 )
= ( j @ X2 ) )
& ( ( sK0 @ ( g @ j ) )
!= $true )
& ( $true
= ( sK0 @ ( f @ h ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
thf(f9,plain,
( ? [X3: ( a > a ) > $o] :
( ( ( X3 @ ( g @ j ) )
!= $true )
& ( ( X3 @ ( f @ h ) )
= $true ) )
=> ( ( ( sK0 @ ( g @ j ) )
!= $true )
& ( $true
= ( sK0 @ ( f @ h ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
( ! [X0: a > a,X1: a] :
( ( f @ X0 @ X1 )
= ( g @ X0 @ X1 ) )
& ! [X2: a] :
( ( h @ X2 )
= ( j @ X2 ) )
& ? [X3: ( a > a ) > $o] :
( ( ( X3 @ ( g @ j ) )
!= $true )
& ( ( X3 @ ( f @ h ) )
= $true ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,plain,
( ! [X2: a > a,X1: a] :
( ( g @ X2 @ X1 )
= ( f @ X2 @ X1 ) )
& ! [X0: a] :
( ( h @ X0 )
= ( j @ X0 ) )
& ? [X3: ( a > a ) > $o] :
( ( ( X3 @ ( g @ j ) )
!= $true )
& ( ( X3 @ ( f @ h ) )
= $true ) ) ),
inference(flattening,[],[f6]) ).
thf(f6,plain,
( ? [X3: ( a > a ) > $o] :
( ( ( X3 @ ( g @ j ) )
!= $true )
& ( ( X3 @ ( f @ h ) )
= $true ) )
& ! [X0: a] :
( ( h @ X0 )
= ( j @ X0 ) )
& ! [X2: a > a,X1: a] :
( ( g @ X2 @ X1 )
= ( f @ X2 @ X1 ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ( ( ! [X0: a] :
( ( h @ X0 )
= ( j @ X0 ) )
& ! [X2: a > a,X1: a] :
( ( g @ X2 @ X1 )
= ( f @ X2 @ X1 ) ) )
=> ! [X3: ( a > a ) > $o] :
( ( ( X3 @ ( f @ h ) )
= $true )
=> ( ( X3 @ ( g @ j ) )
= $true ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: a] :
( ( h @ X0 )
= ( j @ X0 ) )
& ! [X1: a,X2: a > a] :
( ( g @ X2 @ X1 )
= ( f @ X2 @ X1 ) ) )
=> ! [X3: ( a > a ) > $o] :
( ( X3 @ ( f @ h ) )
=> ( X3 @ ( g @ j ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X2: a] :
( ( h @ X2 )
= ( j @ X2 ) )
& ! [X1: a,X0: a > a] :
( ( f @ X0 @ X1 )
= ( g @ X0 @ X1 ) ) )
=> ! [X3: ( a > a ) > $o] :
( ( X3 @ ( f @ h ) )
=> ( X3 @ ( g @ j ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ( ! [X2: a] :
( ( h @ X2 )
= ( j @ X2 ) )
& ! [X1: a,X0: a > a] :
( ( f @ X0 @ X1 )
= ( g @ X0 @ X1 ) ) )
=> ! [X3: ( a > a ) > $o] :
( ( X3 @ ( f @ h ) )
=> ( X3 @ ( g @ j ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEDEC2_pme) ).
thf(f20,plain,
( ( j @ sK4 )
!= ( h @ sK4 ) ),
inference(negative_extensionality,[],[f19]) ).
thf(f19,plain,
h != j,
inference(equality_resolution,[],[f18]) ).
thf(f18,plain,
( ( g @ j @ sK3 )
!= ( g @ h @ sK3 ) ),
inference(superposition,[],[f17,f14]) ).
thf(f14,plain,
! [X0: a > a,X1: a] :
( ( f @ X0 @ X1 )
= ( g @ X0 @ X1 ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f17,plain,
( ( f @ h @ sK3 )
!= ( g @ j @ sK3 ) ),
inference(negative_extensionality,[],[f16]) ).
thf(f16,plain,
( ( f @ h )
!= ( g @ j ) ),
inference(trivial_inequality_removal,[],[f15]) ).
thf(f15,plain,
( ( ( f @ h )
!= ( g @ j ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f12,f11]) ).
thf(f11,plain,
( $true
= ( sK0 @ ( f @ h ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f12,plain,
( ( sK0 @ ( g @ j ) )
!= $true ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO363^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.13 % 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
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 08:55:08 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.34 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/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % (4757)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)
% 0.18/0.35 % (4759)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.35 % (4756)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.18/0.35 % (4763)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)
% 0.18/0.35 % (4761)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)
% 0.18/0.35 % (4760)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)
% 0.18/0.35 % (4758)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)
% 0.18/0.35 % (4759)Instruction limit reached!
% 0.18/0.35 % (4759)------------------------------
% 0.18/0.35 % (4759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (4759)Termination reason: Unknown
% 0.18/0.35 % (4759)Termination phase: Saturation
% 0.18/0.35
% 0.18/0.35 % (4759)Memory used [KB]: 5500
% 0.18/0.35 % (4759)Time elapsed: 0.003 s
% 0.18/0.35 % (4759)Instructions burned: 2 (million)
% 0.18/0.35 % (4759)------------------------------
% 0.18/0.35 % (4759)------------------------------
% 0.18/0.35 % (4760)Instruction limit reached!
% 0.18/0.35 % (4760)------------------------------
% 0.18/0.35 % (4760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (4760)Termination reason: Unknown
% 0.18/0.35 % (4760)Termination phase: Saturation
% 0.18/0.35
% 0.18/0.35 % (4760)Memory used [KB]: 5500
% 0.18/0.35 % (4760)Time elapsed: 0.003 s
% 0.18/0.35 % (4760)Instructions burned: 2 (million)
% 0.18/0.35 % (4760)------------------------------
% 0.18/0.35 % (4760)------------------------------
% 0.18/0.35 % (4761)Refutation not found, incomplete strategy
% 0.18/0.35 % (4761)------------------------------
% 0.18/0.35 % (4761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (4761)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.35
% 0.18/0.35
% 0.18/0.35 % (4762)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.18/0.35 % (4761)Memory used [KB]: 5500
% 0.18/0.35 % (4761)Time elapsed: 0.003 s
% 0.18/0.35 % (4761)Instructions burned: 2 (million)
% 0.18/0.35 % (4761)------------------------------
% 0.18/0.35 % (4761)------------------------------
% 0.18/0.35 % (4757)Refutation not found, incomplete strategy
% 0.18/0.35 % (4757)------------------------------
% 0.18/0.35 % (4757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (4757)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.35
% 0.18/0.35
% 0.18/0.35 % (4757)Memory used [KB]: 5500
% 0.18/0.35 % (4757)Time elapsed: 0.003 s
% 0.18/0.35 % (4757)Instructions burned: 2 (million)
% 0.18/0.35 % (4757)------------------------------
% 0.18/0.35 % (4757)------------------------------
% 0.18/0.35 % (4756)First to succeed.
% 0.18/0.35 % (4758)Refutation not found, incomplete strategy
% 0.18/0.35 % (4758)------------------------------
% 0.18/0.35 % (4758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (4758)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.35
% 0.18/0.35
% 0.18/0.35 % (4758)Memory used [KB]: 5500
% 0.18/0.35 % (4758)Time elapsed: 0.002 s
% 0.18/0.35 % (4758)Instructions burned: 1 (million)
% 0.18/0.35 % (4758)------------------------------
% 0.18/0.35 % (4758)------------------------------
% 0.18/0.35 % (4763)Also succeeded, but the first one will report.
% 0.18/0.36 % (4756)Refutation found. Thanks to Tanya!
% 0.18/0.36 % SZS status Theorem for theBenchmark
% 0.18/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.36 % (4756)------------------------------
% 0.18/0.36 % (4756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (4756)Termination reason: Refutation
% 0.18/0.36
% 0.18/0.36 % (4756)Memory used [KB]: 5500
% 0.18/0.36 % (4756)Time elapsed: 0.004 s
% 0.18/0.36 % (4756)Instructions burned: 2 (million)
% 0.18/0.36 % (4756)------------------------------
% 0.18/0.36 % (4756)------------------------------
% 0.18/0.36 % (4755)Success in time 0.004 s
% 0.18/0.36 % Vampire---4.8 exiting
%------------------------------------------------------------------------------