TSTP Solution File: SEU541^2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU541^2 : TPTP v8.2.0. 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 : n020.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 03:49:28 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 17 unt; 5 typ; 0 def)
% Number of atoms : 124 ( 33 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 102 ( 11 ~; 2 |; 6 &; 64 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 6 con; 0-2 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 22 ( 9 ^ 9 !; 2 ?; 22 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_2,type,
prop2set: $o > $i ).
thf(func_def_5,type,
set2prop: $i > $o ).
thf(func_def_6,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_15,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f27,plain,
$false,
inference(trivial_inequality_removal,[],[f26]) ).
thf(f26,plain,
( ( $true = $false )
| ( $true != $true ) ),
inference(superposition,[],[f22,f25]) ).
thf(f25,plain,
! [X1: $o] :
( ( ( in @ emptyset @ ( prop2set @ X1 ) )
= $true )
| ( $false = X1 ) ),
inference(binary_proxy_clausification,[],[f24]) ).
thf(f24,plain,
! [X1: $o] :
( ( X1
=> ( in @ emptyset @ ( prop2set @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f23]) ).
thf(f23,plain,
! [X1: $o] :
( ( ^ [Y0: $o] :
( Y0
=> ( in @ emptyset @ ( prop2set @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f20]) ).
thf(f20,plain,
( ( !! @ $o
@ ^ [Y0: $o] :
( Y0
=> ( in @ emptyset @ ( prop2set @ Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f19,f15]) ).
thf(f15,plain,
( prop2setI
= ( !! @ $o
@ ^ [Y0: $o] :
( Y0
=> ( in @ emptyset @ ( prop2set @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( prop2setI
= ( !! @ $o
@ ^ [Y0: $o] :
( Y0
=> ( in @ emptyset @ ( prop2set @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
( prop2setI
= ( ! [X0: $o] :
( X0
=> ( in @ emptyset @ ( prop2set @ X0 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( prop2setI
= ( ! [X0: $o] :
( X0
=> ( in @ emptyset @ ( prop2set @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setI) ).
thf(f19,plain,
prop2setI = $true,
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ( prop2setI = $true )
& ( sK0 = $true )
& ( ( set2prop @ ( prop2set @ sK0 ) )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f13]) ).
thf(f13,plain,
( ? [X0: $o] :
( ( $true = X0 )
& ( ( set2prop @ ( prop2set @ X0 ) )
!= $true ) )
=> ( ( sK0 = $true )
& ( ( set2prop @ ( prop2set @ sK0 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
( ( prop2setI = $true )
& ? [X0: $o] :
( ( $true = X0 )
& ( ( set2prop @ ( prop2set @ X0 ) )
!= $true ) ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f7,plain,
~ ( ( prop2setI = $true )
=> ! [X0: $o] :
( ( $true = X0 )
=> ( ( set2prop @ ( prop2set @ X0 ) )
= $true ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f6,plain,
~ ( prop2setI
=> ! [X0: $o] :
( X0
=> ( set2prop @ ( prop2set @ X0 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ( prop2setI
=> ! [X0: $o] :
( X0
=> ( set2prop @ ( prop2set @ X0 ) ) ) ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
( prop2setI
=> ! [X0: $o] :
( X0
=> ( set2prop @ ( prop2set @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2set2propI) ).
thf(f22,plain,
( ( in @ emptyset @ ( prop2set @ $true ) )
!= $true ),
inference(beta_eta_normalization,[],[f21]) ).
thf(f21,plain,
( ( ^ [Y0: $i] : ( in @ emptyset @ Y0 )
@ ( prop2set @ $true ) )
!= $true ),
inference(definition_unfolding,[],[f17,f16,f18]) ).
thf(f18,plain,
sK0 = $true,
inference(cnf_transformation,[],[f14]) ).
thf(f16,plain,
( set2prop
= ( ^ [Y0: $i] : ( in @ emptyset @ Y0 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( set2prop
= ( ^ [Y0: $i] : ( in @ emptyset @ Y0 ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
( set2prop
= ( ^ [X0: $i] : ( in @ emptyset @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( set2prop
= ( ^ [X1: $i] : ( in @ emptyset @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set2prop) ).
thf(f17,plain,
( ( set2prop @ ( prop2set @ sK0 ) )
!= $true ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU541^2 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.14 % 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
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 17:47:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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/benchmark/theBenchmark.p
% 0.22/0.37 % (24995)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)
% 0.22/0.37 % (24996)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)
% 0.22/0.37 % (24994)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.22/0.37 % (24997)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.22/0.37 % (24998)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)
% 0.22/0.37 % (25001)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)
% 0.22/0.37 % (24999)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)
% 0.22/0.37 % (25000)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.22/0.37 % (24997)Instruction limit reached!
% 0.22/0.37 % (24997)------------------------------
% 0.22/0.37 % (24997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (24997)Termination reason: Unknown
% 0.22/0.37 % (24998)Instruction limit reached!
% 0.22/0.37 % (24998)------------------------------
% 0.22/0.37 % (24998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (24998)Termination reason: Unknown
% 0.22/0.37 % (24998)Termination phase: Saturation
% 0.22/0.37
% 0.22/0.37 % (24998)Memory used [KB]: 5373
% 0.22/0.37 % (24998)Time elapsed: 0.003 s
% 0.22/0.37 % (24998)Instructions burned: 2 (million)
% 0.22/0.37 % (24998)------------------------------
% 0.22/0.37 % (24998)------------------------------
% 0.22/0.37 % (24997)Termination phase: Saturation
% 0.22/0.37
% 0.22/0.37 % (24997)Memory used [KB]: 5373
% 0.22/0.37 % (24997)Time elapsed: 0.003 s
% 0.22/0.37 % (24997)Instructions burned: 2 (million)
% 0.22/0.37 % (24997)------------------------------
% 0.22/0.37 % (24997)------------------------------
% 0.22/0.37 % (25001)Refutation not found, incomplete strategy
% 0.22/0.37 % (25001)------------------------------
% 0.22/0.37 % (25001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (25001)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37
% 0.22/0.37
% 0.22/0.37 % (25001)Memory used [KB]: 5500
% 0.22/0.37 % (25001)Time elapsed: 0.003 s
% 0.22/0.37 % (25001)Instructions burned: 2 (million)
% 0.22/0.37 % (25001)------------------------------
% 0.22/0.37 % (25001)------------------------------
% 0.22/0.37 % (24996)First to succeed.
% 0.22/0.37 % (24999)Refutation not found, incomplete strategy
% 0.22/0.37 % (24999)------------------------------
% 0.22/0.37 % (24999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (24999)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37
% 0.22/0.37
% 0.22/0.37 % (24999)Memory used [KB]: 5500
% 0.22/0.37 % (24999)Time elapsed: 0.003 s
% 0.22/0.37 % (24999)Instructions burned: 2 (million)
% 0.22/0.37 % (24999)------------------------------
% 0.22/0.37 % (24999)------------------------------
% 0.22/0.37 % (24994)Also succeeded, but the first one will report.
% 0.22/0.38 % (24996)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (24996)------------------------------
% 0.22/0.38 % (24996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (24996)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (24996)Memory used [KB]: 5500
% 0.22/0.38 % (24996)Time elapsed: 0.004 s
% 0.22/0.38 % (24996)Instructions burned: 2 (million)
% 0.22/0.38 % (24996)------------------------------
% 0.22/0.38 % (24996)------------------------------
% 0.22/0.38 % (24993)Success in time 0.005 s
% 0.22/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------