TSTP Solution File: NUM830^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM830^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.B8H7tL7dEu true
% Computer : n018.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 12:44:22 EDT 2023
% Result : Theorem 1.22s 0.81s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 69 ( 33 unt; 14 typ; 0 def)
% Number of atoms : 106 ( 53 equ; 6 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 418 ( 5 ~; 0 |; 12 &; 370 @)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 13 usr; 9 con; 0-6 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 66 ( 12 ^; 42 !; 0 ?; 66 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(n_type,type,
n: $tType ).
thf(c_star_type,type,
c_star: n > n > n ).
thf(cPA_4_type,type,
cPA_4: $o ).
thf(cS_type,type,
cS: n > n ).
thf(cPA_2_type,type,
cPA_2: $o ).
thf(cPA_3_type,type,
cPA_3: $o ).
thf(cPA_1_type,type,
cPA_1: $o ).
thf(c_plus_type,type,
c_plus: n > n > n ).
thf(c0_type,type,
c0: n ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(cPA_THM1,conjecture,
( ( cPA_4
& cPA_3
& cPA_2
& cPA_1 )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( cPA_4
& cPA_3
& cPA_2
& cPA_1 )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cPA_THM1]) ).
thf(zip_derived_cl0,plain,
~ ( ( cPA_4
& cPA_3
& cPA_2
& cPA_1 )
=> ( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( cPA_4
& cPA_3
& cPA_2
& cPA_1 ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
cPA_3,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(cPA_3_def,axiom,
( cPA_3
=> ( ( !!
@ ^ [Y0: n] :
( ( c_star @ Y0 @ c0 )
= c0 ) )
= $true ) ) ).
thf('0',plain,
( cPA_3
<=> ! [X5: n] :
( ( c_star @ X5 @ c0 )
= c0 ) ),
inference('rw.lit',[status(esa)],[cPA_3_def]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: n] :
( ( c_star @ Y0 @ c0 )
= c0 ) ),
inference(rw_clause,[status(thm)],[zip_derived_cl4,'0']) ).
thf(zip_derived_cl14,plain,
!! @ ( '#C' @ ( '#B' @ (=) @ ( '#C' @ c_star @ c0 ) ) @ c0 ),
inference('comb-normalize',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: n] :
( ( c_star @ X2 @ c0 )
= c0 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl21,plain,
! [X2: n] :
( ( c_star @ X2 @ c0 )
= c0 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl3,plain,
cPA_4,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(cPA_4_def,axiom,
( cPA_4
=> ( ( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_star @ Y0 @ ( cS @ Y1 ) )
= ( c_plus @ ( c_star @ Y0 @ Y1 ) @ Y0 ) ) ) )
= $true ) ) ).
thf('1',plain,
( cPA_4
<=> ! [X5: n,X7: n] :
( ( c_star @ X5 @ ( cS @ X7 ) )
= ( c_plus @ ( c_star @ X5 @ X7 ) @ X5 ) ) ),
inference('rw.lit',[status(esa)],[cPA_4_def]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_star @ Y0 @ ( cS @ Y1 ) )
= ( c_plus @ ( c_star @ Y0 @ Y1 ) @ Y0 ) ) ) ),
inference(rw_clause,[status(thm)],[zip_derived_cl3,'1']) ).
thf(zip_derived_cl12,plain,
!! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#C' @ ( '#B' @ '#B' @ c_star ) @ cS ) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ c_plus ) @ c_star ) ) @ '#I' ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
! [X2: n] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ ( c_star @ X2 ) @ cS ) ) @ ( '#C' @ ( '#B' @ c_plus @ ( c_star @ X2 ) ) @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl20,plain,
! [X2: n,X4: n] :
( ( c_star @ X2 @ ( cS @ X4 ) )
= ( c_plus @ ( c_star @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: n,X4: n] :
( ( c_star @ X2 @ ( cS @ X4 ) )
= ( c_plus @ ( c_star @ X2 @ X4 ) @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl29,plain,
! [X0: n] :
( ( c_star @ X0 @ ( cS @ c0 ) )
= ( c_plus @ c0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl24]) ).
thf(zip_derived_cl6,plain,
cPA_1,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(cPA_1_def,axiom,
( cPA_1
=> ( ( !!
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) )
= $true ) ) ).
thf('2',plain,
( cPA_1
<=> ! [X5: n] :
( ( c_plus @ X5 @ c0 )
= X5 ) ),
inference('rw.lit',[status(esa)],[cPA_1_def]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ),
inference(rw_clause,[status(thm)],[zip_derived_cl6,'2']) ).
thf(zip_derived_cl18,plain,
!! @ ( '#S' @ ( '#B' @ (=) @ ( '#C' @ c_plus @ c0 ) ) @ '#I' ),
inference('comb-normalize',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
! [X2: n] :
( ( c_plus @ X2 @ c0 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
! [X2: n] :
( ( c_plus @ X2 @ c0 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl5,plain,
cPA_2,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(cPA_2_def,axiom,
( cPA_2
=> ( ( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) )
= $true ) ) ).
thf('3',plain,
( cPA_2
<=> ! [X5: n,X7: n] :
( ( c_plus @ X5 @ ( cS @ X7 ) )
= ( cS @ ( c_plus @ X5 @ X7 ) ) ) ),
inference('rw.lit',[status(esa)],[cPA_2_def]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: n] :
( !!
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) ),
inference(rw_clause,[status(thm)],[zip_derived_cl5,'3']) ).
thf(zip_derived_cl16,plain,
!! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ ( '#C' @ ( '#B' @ '#B' @ c_plus ) @ cS ) ) ) @ ( '#B' @ ( '#B' @ cS ) @ c_plus ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: n] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( '#B' @ ( c_plus @ X2 ) @ cS ) ) @ ( '#B' @ cS @ ( c_plus @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: n,X4: n] :
( ( c_plus @ X2 @ ( cS @ X4 ) )
= ( cS @ ( c_plus @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
! [X2: n,X4: n] :
( ( c_plus @ X2 @ ( cS @ X4 ) )
= ( cS @ ( c_plus @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl25_001,plain,
! [X2: n,X4: n] :
( ( c_plus @ X2 @ ( cS @ X4 ) )
= ( cS @ ( c_plus @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24_002,plain,
! [X2: n,X4: n] :
( ( c_star @ X2 @ ( cS @ X4 ) )
= ( c_plus @ ( c_star @ X2 @ X4 ) @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
! [X0: n,X1: n] :
( ( c_star @ ( cS @ X0 ) @ ( cS @ X1 ) )
= ( cS @ ( c_plus @ ( c_star @ ( cS @ X0 ) @ X1 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl24]) ).
thf(zip_derived_cl59,plain,
! [X0: n,X1: n] :
( ( c_star @ ( cS @ ( cS @ X0 ) ) @ ( cS @ X1 ) )
= ( cS @ ( cS @ ( c_plus @ ( c_star @ ( cS @ ( cS @ X0 ) ) @ X1 ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl28]) ).
thf(zip_derived_cl222,plain,
! [X0: n] :
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ X0 ) )
= ( cS @ ( cS @ ( c_star @ ( cS @ ( cS @ c0 ) ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl59]) ).
thf(zip_derived_cl327,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( cS @ ( cS @ ( c_plus @ c0 @ ( cS @ ( cS @ c0 ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl222]) ).
thf(zip_derived_cl21_003,plain,
! [X2: n] :
( ( c_star @ X2 @ c0 )
= c0 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl59_004,plain,
! [X0: n,X1: n] :
( ( c_star @ ( cS @ ( cS @ X0 ) ) @ ( cS @ X1 ) )
= ( cS @ ( cS @ ( c_plus @ ( c_star @ ( cS @ ( cS @ X0 ) ) @ X1 ) @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl28]) ).
thf(zip_derived_cl224,plain,
! [X0: n] :
( ( c_star @ ( cS @ ( cS @ X0 ) ) @ ( cS @ c0 ) )
= ( cS @ ( cS @ ( c_plus @ c0 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl59]) ).
thf(zip_derived_cl29_005,plain,
! [X0: n] :
( ( c_star @ X0 @ ( cS @ c0 ) )
= ( c_plus @ c0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl24]) ).
thf(zip_derived_cl249,plain,
! [X0: n] :
( ( cS @ ( cS @ ( c_plus @ c0 @ X0 ) ) )
= ( c_plus @ c0 @ ( cS @ ( cS @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl29]) ).
thf(zip_derived_cl23_006,plain,
! [X2: n] :
( ( c_plus @ X2 @ c0 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl330,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
= ( cS @ ( cS @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl249,zip_derived_cl23]) ).
thf(zip_derived_cl2,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( c_plus @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl25_007,plain,
! [X2: n,X4: n] :
( ( c_plus @ X2 @ ( cS @ X4 ) )
= ( cS @ ( c_plus @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl25_008,plain,
! [X2: n,X4: n] :
( ( c_plus @ X2 @ ( cS @ X4 ) )
= ( cS @ ( c_plus @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl23_009,plain,
! [X2: n] :
( ( c_plus @ X2 @ c0 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl26,plain,
( ( c_star @ ( cS @ ( cS @ c0 ) ) @ ( cS @ ( cS @ c0 ) ) )
!= ( cS @ ( cS @ ( cS @ ( cS @ c0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl25,zip_derived_cl25,zip_derived_cl23]) ).
thf(zip_derived_cl331,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl330,zip_derived_cl26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM830^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.B8H7tL7dEu true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 16:35:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.61 % Total configuration time : 828
% 0.22/0.61 % Estimated wc time : 1656
% 0.22/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.22/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.22/0.81 % Solved by lams/40_b.comb.sh.
% 1.22/0.81 % done 54 iterations in 0.055s
% 1.22/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/0.81 % SZS output start Refutation
% See solution above
% 1.22/0.81
% 1.22/0.81
% 1.22/0.81 % Terminating...
% 2.01/0.92 % Runner terminated.
% 2.01/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------