TSTP Solution File: SEV256^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV256^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 : Mon Jun 24 16:02:30 EDT 2024
% Result : Theorem 0.12s 0.39s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 142 ( 39 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 177 ( 15 ~; 13 |; 19 &; 109 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 3 con; 0-2 aty)
% ( 0 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 57 ( 33 ^ 19 !; 5 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cOPEN: ( a > $o ) > $o ).
thf(func_def_10,type,
sK0: ( ( a > $o ) > $o ) > a > $o ).
thf(func_def_13,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
sK3: ( ( a > $o ) > $o ) > a ).
thf(func_def_15,type,
sK4: ( ( a > $o ) > $o ) > a > $o ).
thf(f34,plain,
$false,
inference(trivial_inequality_removal,[],[f33]) ).
thf(f33,plain,
$true = $false,
inference(duplicate_literal_removal,[],[f32]) ).
thf(f32,plain,
( ( $true = $false )
| ( $true = $false ) ),
inference(beta_eta_normalization,[],[f26]) ).
thf(f26,plain,
( ( $true
= ( ^ [Y0: a > $o] : $false
@ ( sK4
@ ^ [Y0: a > $o] : $false ) ) )
| ( ( ^ [Y0: a > $o] : $false
@ ( sK0
@ ^ [Y0: a > $o] : $false ) )
= $true ) ),
inference(primitive_instantiation,[],[f23]) ).
thf(f23,plain,
! [X0: ( a > $o ) > $o] :
( ( $true
= ( X0 @ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(binary_proxy_clausification,[],[f22]) ).
thf(f22,plain,
! [X0: ( a > $o ) > $o] :
( ( $true
= ( X0 @ ( sK0 @ X0 ) ) )
| ( ( ( sK4 @ X0 @ ( sK3 @ X0 ) )
& ( X0 @ ( sK4 @ X0 ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f21]) ).
thf(f21,plain,
! [X0: ( a > $o ) > $o] :
( ( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ ( sK3 @ X0 ) )
& ( X0 @ Y0 ) )
@ ( sK4 @ X0 ) ) )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(sigma_clausification,[],[f20]) ).
thf(f20,plain,
! [X0: ( a > $o ) > $o] :
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ ( sK3 @ X0 ) )
& ( X0 @ Y0 ) ) )
!= $false )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(beta_eta_normalization,[],[f19]) ).
thf(f19,plain,
! [X0: ( a > $o ) > $o] :
( ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( X0 @ Y1 ) ) )
@ ( sK3 @ X0 ) )
!= ( ^ [Y0: a] : $false
@ ( sK3 @ X0 ) ) )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(negative_extensionality,[],[f18]) ).
thf(f18,plain,
! [X0: ( a > $o ) > $o] :
( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( X0 @ Y1 ) ) ) ) )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f13]) ).
thf(f13,plain,
! [X0: ( a > $o ) > $o] :
( ( ( ^ [Y0: a] : $false )
!= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( X0 @ Y1 ) ) ) ) )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f9,f11]) ).
thf(f11,plain,
! [X0: ( a > $o ) > $o] :
( ( $true
= ( cOPEN
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( X0 @ Y1 ) ) ) ) )
| ( $true
= ( X0 @ ( sK0 @ X0 ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( ! [X0: ( a > $o ) > $o] :
( ( $true
= ( cOPEN
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( X0 @ Y1 ) ) ) ) )
| ( ( $true
= ( X0 @ ( sK0 @ X0 ) ) )
& ( $true
!= ( cOPEN @ ( sK0 @ X0 ) ) ) ) )
& ( $true
!= ( cOPEN
@ ^ [Y0: a] : $false ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
thf(f7,plain,
! [X0: ( a > $o ) > $o] :
( ? [X1: a > $o] :
( ( ( X0 @ X1 )
= $true )
& ( ( cOPEN @ X1 )
!= $true ) )
=> ( ( $true
= ( X0 @ ( sK0 @ X0 ) ) )
& ( $true
!= ( cOPEN @ ( sK0 @ X0 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f6,plain,
( ! [X0: ( a > $o ) > $o] :
( ( $true
= ( cOPEN
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( X0 @ Y1 ) ) ) ) )
| ? [X1: a > $o] :
( ( ( X0 @ X1 )
= $true )
& ( ( cOPEN @ X1 )
!= $true ) ) )
& ( $true
!= ( cOPEN
@ ^ [Y0: a] : $false ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f5,plain,
~ ( ! [X0: ( a > $o ) > $o] :
( ! [X1: a > $o] :
( ( ( X0 @ X1 )
= $true )
=> ( ( cOPEN @ X1 )
= $true ) )
=> ( $true
= ( cOPEN
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( X0 @ Y1 ) ) ) ) ) )
=> ( $true
= ( cOPEN
@ ^ [Y0: a] : $false ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ( ! [X0: ( a > $o ) > $o] :
( ! [X1: a > $o] :
( ( X0 @ X1 )
=> ( cOPEN @ X1 ) )
=> ( cOPEN
@ ^ [X2: a] :
? [X3: a > $o] :
( ( X0 @ X3 )
& ( X3 @ X2 ) ) ) )
=> ( cOPEN
@ ^ [X4: a] : $false ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: ( a > $o ) > $o] :
( ! [X1: a > $o] :
( ( X0 @ X1 )
=> ( cOPEN @ X1 ) )
=> ( cOPEN
@ ^ [X1: a] :
? [X2: a > $o] :
( ( X0 @ X2 )
& ( X2 @ X1 ) ) ) )
=> ( cOPEN
@ ^ [X1: a] : $false ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
( ! [X0: ( a > $o ) > $o] :
( ! [X1: a > $o] :
( ( X0 @ X1 )
=> ( cOPEN @ X1 ) )
=> ( cOPEN
@ ^ [X1: a] :
? [X2: a > $o] :
( ( X0 @ X2 )
& ( X2 @ X1 ) ) ) )
=> ( cOPEN
@ ^ [X1: a] : $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM625A_pme) ).
thf(f9,plain,
( $true
!= ( cOPEN
@ ^ [Y0: a] : $false ) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV256^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 18:46:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (830)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 (2999ds/27Mi)
% 0.12/0.38 % (828)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (831)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (829)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 (2999ds/4Mi)
% 0.12/0.38 % (832)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 (2999ds/2Mi)
% 0.12/0.38 % (833)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 (2999ds/275Mi)
% 0.12/0.38 % (834)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (831)Instruction limit reached!
% 0.12/0.38 % (831)------------------------------
% 0.12/0.38 % (831)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (832)Instruction limit reached!
% 0.12/0.38 % (832)------------------------------
% 0.12/0.38 % (832)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (832)Termination reason: Unknown
% 0.12/0.38 % (832)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (832)Memory used [KB]: 5500
% 0.12/0.38 % (832)Time elapsed: 0.004 s
% 0.12/0.38 % (832)Instructions burned: 2 (million)
% 0.12/0.38 % (832)------------------------------
% 0.12/0.38 % (832)------------------------------
% 0.12/0.38 % (831)Termination reason: Unknown
% 0.12/0.38 % (831)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (831)Memory used [KB]: 5500
% 0.12/0.38 % (831)Time elapsed: 0.004 s
% 0.12/0.38 % (830)Refutation not found, incomplete strategy
% 0.12/0.38 % (830)------------------------------
% 0.12/0.38 % (830)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (830)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (830)Memory used [KB]: 5500
% 0.12/0.38 % (830)Time elapsed: 0.004 s
% 0.12/0.38 % (830)Instructions burned: 2 (million)
% 0.12/0.38 % (830)------------------------------
% 0.12/0.38 % (830)------------------------------
% 0.12/0.38 % (831)Instructions burned: 2 (million)
% 0.12/0.38 % (831)------------------------------
% 0.12/0.38 % (831)------------------------------
% 0.12/0.38 % (833)Refutation not found, incomplete strategy
% 0.12/0.38 % (833)------------------------------
% 0.12/0.38 % (833)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (833)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (833)Memory used [KB]: 5500
% 0.12/0.39 % (833)Time elapsed: 0.004 s
% 0.12/0.39 % (833)Instructions burned: 2 (million)
% 0.12/0.39 % (833)------------------------------
% 0.12/0.39 % (833)------------------------------
% 0.12/0.39 % (829)Instruction limit reached!
% 0.12/0.39 % (829)------------------------------
% 0.12/0.39 % (829)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (829)Termination reason: Unknown
% 0.12/0.39 % (829)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (829)Memory used [KB]: 5500
% 0.12/0.39 % (829)Time elapsed: 0.006 s
% 0.12/0.39 % (829)Instructions burned: 5 (million)
% 0.12/0.39 % (829)------------------------------
% 0.12/0.39 % (829)------------------------------
% 0.12/0.39 % (834)First to succeed.
% 0.12/0.39 % (834)Refutation found. Thanks to Tanya!
% 0.12/0.39 % SZS status Theorem for theBenchmark
% 0.12/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.39 % (834)------------------------------
% 0.12/0.39 % (834)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (834)Termination reason: Refutation
% 0.12/0.39
% 0.12/0.39 % (834)Memory used [KB]: 5500
% 0.12/0.39 % (834)Time elapsed: 0.008 s
% 0.12/0.39 % (834)Instructions burned: 5 (million)
% 0.12/0.39 % (834)------------------------------
% 0.12/0.39 % (834)------------------------------
% 0.12/0.39 % (827)Success in time 0.033 s
%------------------------------------------------------------------------------