TSTP Solution File: SEU885^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU885^5 : 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 : n010.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 03:52:04 EDT 2024
% Result : Theorem 0.08s 0.31s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 115 ( 48 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 126 ( 22 ~; 10 |; 20 &; 60 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 ^ 17 !; 14 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(type_def_6,type,
a: $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
cF: b > a ).
thf(func_def_3,type,
cV: b > $o ).
thf(func_def_4,type,
cU: b > $o ).
thf(func_def_8,type,
sK0: a ).
thf(func_def_9,type,
sK1: b ).
thf(f18,plain,
$false,
inference(subsumption_resolution,[],[f17,f11]) ).
thf(f11,plain,
( $true
= ( cU @ sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( ! [X0: b] :
( ( ( cV @ X0 )
= $true )
| ( ( cU @ X0 )
!= $true ) )
& ( ( cF @ sK1 )
= sK0 )
& ( $true
= ( cU @ sK1 ) )
& ! [X3: b] :
( ( sK0
!= ( cF @ X3 ) )
| ( ( cV @ X3 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
thf(f7,plain,
( ? [X1: a] :
( ? [X2: b] :
( ( ( cF @ X2 )
= X1 )
& ( $true
= ( cU @ X2 ) ) )
& ! [X3: b] :
( ( ( cF @ X3 )
!= X1 )
| ( ( cV @ X3 )
!= $true ) ) )
=> ( ? [X2: b] :
( ( ( cF @ X2 )
= sK0 )
& ( $true
= ( cU @ X2 ) ) )
& ! [X3: b] :
( ( sK0
!= ( cF @ X3 ) )
| ( ( cV @ X3 )
!= $true ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f8,plain,
( ? [X2: b] :
( ( ( cF @ X2 )
= sK0 )
& ( $true
= ( cU @ X2 ) ) )
=> ( ( ( cF @ sK1 )
= sK0 )
& ( $true
= ( cU @ sK1 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
( ! [X0: b] :
( ( ( cV @ X0 )
= $true )
| ( ( cU @ X0 )
!= $true ) )
& ? [X1: a] :
( ? [X2: b] :
( ( ( cF @ X2 )
= X1 )
& ( $true
= ( cU @ X2 ) ) )
& ! [X3: b] :
( ( ( cF @ X3 )
!= X1 )
| ( ( cV @ X3 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ( ! [X0: b] :
( ( ( cU @ X0 )
= $true )
=> ( ( cV @ X0 )
= $true ) )
=> ! [X1: a] :
( ? [X2: b] :
( ( ( cF @ X2 )
= X1 )
& ( $true
= ( cU @ X2 ) ) )
=> ? [X3: b] :
( ( ( cF @ X3 )
= X1 )
& ( ( cV @ X3 )
= $true ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ! [X0: b] :
( ( cU @ X0 )
=> ( cV @ X0 ) )
=> ! [X1: a] :
( ? [X2: b] :
( ( cU @ X2 )
& ( ( cF @ X2 )
= X1 ) )
=> ? [X3: b] :
( ( cV @ X3 )
& ( ( cF @ X3 )
= X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: b] :
( ( cU @ X0 )
=> ( cV @ X0 ) )
=> ! [X0: a] :
( ? [X1: b] :
( ( cU @ X1 )
& ( ( cF @ X1 )
= X0 ) )
=> ? [X1: b] :
( ( cV @ X1 )
& ( ( cF @ X1 )
= X0 ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: b] :
( ( cU @ X0 )
=> ( cV @ X0 ) )
=> ! [X0: a] :
( ? [X1: b] :
( ( cU @ X1 )
& ( ( cF @ X1 )
= X0 ) )
=> ? [X1: b] :
( ( cV @ X1 )
& ( ( cF @ X1 )
= X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM30A_pme) ).
thf(f17,plain,
( $true
!= ( cU @ sK1 ) ),
inference(trivial_inequality_removal,[],[f16]) ).
thf(f16,plain,
( ( $true
!= ( cU @ sK1 ) )
| ( $true != $true ) ),
inference(superposition,[],[f15,f13]) ).
thf(f13,plain,
! [X0: b] :
( ( ( cV @ X0 )
= $true )
| ( ( cU @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f15,plain,
( $true
!= ( cV @ sK1 ) ),
inference(equality_resolution,[],[f14]) ).
thf(f14,plain,
! [X3: b] :
( ( ( cF @ sK1 )
!= ( cF @ X3 ) )
| ( ( cV @ X3 )
!= $true ) ),
inference(definition_unfolding,[],[f10,f12]) ).
thf(f12,plain,
( ( cF @ sK1 )
= sK0 ),
inference(cnf_transformation,[],[f9]) ).
thf(f10,plain,
! [X3: b] :
( ( sK0
!= ( cF @ X3 ) )
| ( ( cV @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEU885^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.09 % 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
% 0.08/0.29 % Computer : n010.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun May 19 15:38:08 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.29 This is a TH0_THM_EQU_NAR problem
% 0.08/0.29 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
% 0.08/0.30 % (23319)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)
% 0.08/0.30 % (23321)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.08/0.30 % (23322)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)
% 0.08/0.30 % (23322)Instruction limit reached!
% 0.08/0.30 % (23322)------------------------------
% 0.08/0.30 % (23322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.30 % (23322)Termination reason: Unknown
% 0.08/0.30 % (23322)Termination phase: Saturation
% 0.08/0.30
% 0.08/0.30 % (23322)Memory used [KB]: 5373
% 0.08/0.30 % (23322)Time elapsed: 0.003 s
% 0.08/0.30 % (23322)Instructions burned: 2 (million)
% 0.08/0.30 % (23322)------------------------------
% 0.08/0.30 % (23322)------------------------------
% 0.08/0.30 % (23323)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)
% 0.08/0.30 % (23324)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.08/0.30 % (23325)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)
% 0.08/0.30 % (23323)First to succeed.
% 0.08/0.31 % (23325)Also succeeded, but the first one will report.
% 0.08/0.31 % (23321)Instruction limit reached!
% 0.08/0.31 % (23321)------------------------------
% 0.08/0.31 % (23321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (23321)Termination reason: Unknown
% 0.08/0.31 % (23321)Termination phase: Saturation
% 0.08/0.31
% 0.08/0.31 % (23321)Memory used [KB]: 5500
% 0.08/0.31 % (23321)Time elapsed: 0.003 s
% 0.08/0.31 % (23321)Instructions burned: 2 (million)
% 0.08/0.31 % (23321)------------------------------
% 0.08/0.31 % (23321)------------------------------
% 0.08/0.31 % (23323)Refutation found. Thanks to Tanya!
% 0.08/0.31 % SZS status Theorem for theBenchmark
% 0.08/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.31 % (23323)------------------------------
% 0.08/0.31 % (23323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (23323)Termination reason: Refutation
% 0.08/0.31
% 0.08/0.31 % (23323)Memory used [KB]: 5500
% 0.08/0.31 % (23323)Time elapsed: 0.003 s
% 0.08/0.31 % (23323)Instructions burned: 1 (million)
% 0.08/0.31 % (23323)------------------------------
% 0.08/0.31 % (23323)------------------------------
% 0.08/0.31 % (23317)Success in time 0.014 s
% 0.08/0.31 % Vampire---4.8 exiting
%------------------------------------------------------------------------------