TSTP Solution File: SEV085^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV085^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vQ1qLESRrw true
% Computer : n002.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 : Thu Aug 31 19:59:32 EDT 2023
% Result : Theorem 21.75s 3.48s
% Output : Refutation 21.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 12 unt; 5 typ; 0 def)
% Number of atoms : 246 ( 73 equ; 12 cnn)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 380 ( 73 ~; 43 |; 33 &; 140 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 123 ( 123 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 5 usr; 6 con; 0-2 aty)
% ( 36 !!; 40 ??; 0 @@+; 0 @@-)
% Number of variables : 127 ( 90 ^; 27 !; 10 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1040_type',type,
'#sk1040': $i > $o ).
thf('#sk1043_type',type,
'#sk1043': $i > $o ).
thf('#sk1038_type',type,
'#sk1038': $i > $o ).
thf('#form1037_type',type,
'#form1037': $o ).
thf('#form7358_type',type,
'#form7358': $o ).
thf(cTHM120_2_pme,conjecture,
? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X: $i > $o,Y: $i > $o] : ( R @ X @ Y )
& ? [U: $i > $o,V: $i > $o] :
~ ( R @ U @ V )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xy @ Xz )
& ( R @ Xx @ Xy ) )
=> ( R @ Xx @ Xz ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ? [X: $i > $o,Y: $i > $o] : ( R @ X @ Y )
& ? [U: $i > $o,V: $i > $o] :
~ ( R @ U @ V )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xy @ Xz )
& ( R @ Xx @ Xy ) )
=> ( R @ Xx @ Xz ) ) ),
inference('cnf.neg',[status(esa)],[cTHM120_2_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ??
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i > $o] : ( Y0 @ Y1 @ Y2 ) ) )
& ( ??
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i > $o] : ( (~) @ ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i > $o] : ( Y0 @ Y1 @ Y1 ) )
& ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
~ ( ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( X2 @ Y0 @ Y1 ) ) )
& ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( (~) @ ( X2 @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i > $o] : ( X2 @ Y0 @ Y0 ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( X2 @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( Y0 = Y1 ) ) )
& ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( (~) @ ( Y0 = Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i > $o] : ( Y0 = Y0 ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl145,plain,
~ ( ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( Y0 = Y1 ) ) )
& ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( (~) @ ( Y0 = Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl146,plain,
( ~ ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( Y0 = Y1 ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( (~) @ ( Y0 = Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl147,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i > $o] : ( X2 = Y0 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( (~) @ ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl149,plain,
( ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] : $false )
= Y0 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( (~) @ ( Y0 = Y1 ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl147]) ).
thf(zip_derived_cl147_001,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i > $o] : ( X2 = Y0 ) )
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( (~) @ ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl151,plain,
( '#form1037'
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1101,plain,
( ~ '#form1037'
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i > $o] : ( (~) @ ( Y0 = Y1 ) ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] : $false )
= Y0 ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl149,zip_derived_cl151]) ).
thf(zip_derived_cl1102,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i > $o] : ( (~) @ ( X2 = Y0 ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] : $false )
= Y0 ) )
| ~ '#form1037' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1101]) ).
thf(zip_derived_cl1102_002,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i > $o] : ( (~) @ ( X2 = Y0 ) ) )
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] : $false )
= Y0 ) )
| ~ '#form1037' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1101]) ).
thf(zip_derived_cl1106,plain,
( '#form7358'
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] : $false )
= Y0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1111,plain,
! [X2: $i > $o] :
( ~ '#form7358'
| ~ '#form1037'
| ~ ( ??
@ ^ [Y0: $i > $o] : ( (~) @ ( X2 = Y0 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl1102,zip_derived_cl1106]) ).
thf(zip_derived_cl1112,plain,
! [X2: $i > $o,X4: $i > $o] :
( ( X2 = X4 )
| ~ '#form1037'
| ~ '#form7358' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1111]) ).
thf(zip_derived_cl1114,plain,
! [X0: $i > $o] :
( ( X0
= ( ^ [Y0: $i] : $false ) )
| ~ '#form1037'
| ~ '#form7358' ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl1112]) ).
thf(zip_derived_cl1126,plain,
! [X0: $i > $o] :
( ( X0
= ( ^ [Y0: $i] : $false ) )
| ~ '#form1037'
| ~ '#form7358' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1114]) ).
thf(zip_derived_cl1106_003,plain,
( '#form7358'
| ~ ( ??
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] : $false )
= Y0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1107,plain,
! [X2: $i > $o] :
( ( ( ^ [Y0: $i] : $false )
!= X2 )
| '#form7358' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1106]) ).
thf(zip_derived_cl1109,plain,
( ( ( ^ [Y0: $i] : $false )
!= ( ^ [Y0: $i] : $false ) )
| '#form7358' ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl1107]) ).
thf(zip_derived_cl1118,plain,
'#form7358',
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1109]) ).
thf(zip_derived_cl1127,plain,
! [X0: $i > $o] :
( ( X0
= ( ^ [Y0: $i] : $false ) )
| ~ '#form1037' ),
inference(demod,[status(thm)],[zip_derived_cl1126,zip_derived_cl1118]) ).
thf(zip_derived_cl1747,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= ( ^ [Y0: $i] : $false
@ X1 ) )
| ~ '#form1037' ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1748,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ X1 )
| ~ '#form1037' ),
inference(ho_norm,[status(thm)],[zip_derived_cl1747]) ).
thf(zip_derived_cl1749,plain,
! [X0: $o,X1: $i] :
( ~ ( ^ [Y0: $i] : X0
@ X1 )
| ~ '#form1037' ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl1748]) ).
thf(zip_derived_cl1750,plain,
! [X0: $o] :
( ~ X0
| ~ '#form1037' ),
inference(ho_norm,[status(thm)],[zip_derived_cl1749]) ).
thf(zip_derived_cl1778,plain,
~ '#form1037',
inference(condensation,[status(thm)],[zip_derived_cl1750]) ).
thf(zip_derived_cl151_004,plain,
( '#form1037'
| ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( Y1 = Y2 )
& ( Y0 = Y1 ) )
=> ( Y0 = Y2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl152,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( Y0 = Y1 )
& ( '#sk1038' = Y0 ) )
=> ( '#sk1038' = Y1 ) ) ) )
| '#form1037' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl158,plain,
( ~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( '#sk1040' = Y0 )
& ( '#sk1038' = '#sk1040' ) )
=> ( '#sk1038' = Y0 ) ) )
| '#form1037' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl163,plain,
( ~ ( ( ( '#sk1040' = '#sk1043' )
& ( '#sk1038' = '#sk1040' ) )
=> ( '#sk1038' = '#sk1043' ) )
| '#form1037' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl169,plain,
( ( ( '#sk1040' = '#sk1043' )
& ( '#sk1038' = '#sk1040' ) )
| '#form1037' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl173,plain,
( ( '#sk1038' = '#sk1040' )
| '#form1037' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl176,plain,
( ( '#sk1038' = '#sk1040' )
| '#form1037' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl172,plain,
( ( '#sk1040' = '#sk1043' )
| '#form1037' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl175,plain,
( ( '#sk1040' = '#sk1043' )
| '#form1037' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl172]) ).
thf(zip_derived_cl1778_005,plain,
~ '#form1037',
inference(condensation,[status(thm)],[zip_derived_cl1750]) ).
thf(zip_derived_cl1819,plain,
'#sk1040' = '#sk1043',
inference(clc,[status(thm)],[zip_derived_cl175,zip_derived_cl1778]) ).
thf(zip_derived_cl170,plain,
( ( '#sk1038' != '#sk1043' )
| '#form1037' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl174,plain,
( ( '#sk1038' != '#sk1043' )
| '#form1037' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl170]) ).
thf(zip_derived_cl1778_006,plain,
~ '#form1037',
inference(condensation,[status(thm)],[zip_derived_cl1750]) ).
thf(zip_derived_cl1780,plain,
'#sk1038' != '#sk1043',
inference(clc,[status(thm)],[zip_derived_cl174,zip_derived_cl1778]) ).
thf(zip_derived_cl1820,plain,
'#sk1038' != '#sk1040',
inference('sup-',[status(thm)],[zip_derived_cl1819,zip_derived_cl1780]) ).
thf(zip_derived_cl1826,plain,
'#form1037',
inference('simplify_reflect-',[status(thm)],[zip_derived_cl176,zip_derived_cl1820]) ).
thf(zip_derived_cl1827,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1778,zip_derived_cl1826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEV085^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vQ1qLESRrw true
% 0.17/0.37 % Computer : n002.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu Aug 24 03:28:46 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.17/0.37 % Running portfolio for 300 s
% 0.17/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.37 % Number of cores: 8
% 0.17/0.37 % Python version: Python 3.6.8
% 0.17/0.37 % Running in HO mode
% 0.23/0.68 % Total configuration time : 828
% 0.23/0.68 % Estimated wc time : 1656
% 0.23/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.23/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 21.75/3.48 % Solved by lams/30_sp5.sh.
% 21.75/3.48 % done 25 iterations in 2.658s
% 21.75/3.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.75/3.48 % SZS output start Refutation
% See solution above
% 21.75/3.49
% 21.75/3.49
% 21.75/3.49 % Terminating...
% 21.75/3.64 % Runner terminated.
% 21.75/3.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------