TSTP Solution File: SYO222^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO222^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ubf7D5hYVG true
% Computer : n027.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 : Fri Sep 1 05:50:21 EDT 2023
% Result : Theorem 1.37s 0.92s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 129 ( 54 equ; 30 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 434 ( 30 ~; 29 |; 15 &; 297 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 9 usr; 7 con; 0-6 aty)
% ( 23 !!; 11 ??; 0 @@+; 0 @@-)
% Number of variables : 77 ( 8 ^; 53 !; 4 ?; 77 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(f_type,type,
f: $i > $i ).
thf(cP_type,type,
cP: $i > $o ).
thf('#sk1_type',type,
'#sk1': ( $i > $o ) > $i ).
thf(a_type,type,
a: $i ).
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(cTHM115A,conjecture,
? [A: $i > $o] :
( ! [Xx: $i] :
( ( A @ ( f @ Xx ) )
=> ( cP @ Xx ) )
& ( ( ! [Xx: $i,Xy: $i] :
( ( ( f @ Xx )
= ( f @ Xy ) )
=> ( Xx = Xy ) )
& ( cP @ a ) )
=> ? [Xz: $i] : ( A @ Xz ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [A: $i > $o] :
( ! [Xx: $i] :
( ( A @ ( f @ Xx ) )
=> ( cP @ Xx ) )
& ( ( ! [Xx: $i,Xy: $i] :
( ( ( f @ Xx )
= ( f @ Xy ) )
=> ( Xx = Xy ) )
& ( cP @ a ) )
=> ? [Xz: $i] : ( A @ Xz ) ) ),
inference('cnf.neg',[status(esa)],[cTHM115A]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ ( f @ Y1 ) )
=> ( cP @ Y1 ) ) )
& ( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( f @ Y1 )
= ( f @ Y2 ) )
=> ( Y1 = Y2 ) ) ) )
& ( cP @ a ) )
=> ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ??
@ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ '#B' @ f ) ) ) @ cP ) ) )
@ ( '#B'
@ ( (=>)
@ ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ f ) ) @ f ) ) ) @ (=) ) ) )
& ( cP @ a ) ) )
@ ?? ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: $i > $o] :
~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ X2 @ f ) ) @ cP ) )
& ( ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ f ) ) @ f ) ) ) @ (=) ) ) )
& ( cP @ a ) )
=> ( ?? @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ X2 @ f ) ) @ cP ) )
| ~ ( ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ f ) ) @ f ) ) ) @ (=) ) ) )
& ( cP @ a ) )
=> ( ?? @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ ( f @ ( '#sk1' @ X2 ) ) )
=> ( cP @ ( '#sk1' @ X2 ) ) )
| ~ ( ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ f ) ) @ f ) ) ) @ (=) ) ) )
& ( cP @ a ) )
=> ( ?? @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $o] :
( ( X2 @ ( f @ ( '#sk1' @ X2 ) ) )
| ~ ( ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ f ) ) @ f ) ) ) @ (=) ) ) )
& ( cP @ a ) )
=> ( ?? @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o] :
( ~ ( ?? @ X2 )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ X4 )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ~ ( ^ [Y0: $i] : ( X0 = Y0 )
@ X0 )
| ( ^ [Y0: $i] : ( X0 = Y0 )
@ ( f
@ ( '#sk1'
@ ^ [Y0: $i] : ( X0 = Y0 ) ) ) ) ),
inference('elim_leibniz_eq_-',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( X0 != X0 )
| ( X0
= ( f @ ( '#sk1' @ ( $i = X0 ) ) ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( X0
= ( f @ ( '#sk1' @ ( $i = X0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( X0
= ( f @ ( '#sk1' @ ( $i = X0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $o] :
( ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ f ) ) @ f ) ) ) @ (=) ) ) )
& ( cP @ a ) )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o] :
( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ f ) ) @ f ) ) ) @ (=) ) ) )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $o,X4: $i] :
( ( !!
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#B'
@ ( $i
= ( f @ X4 ) )
@ f ) )
@ ( $i = X4 ) ) )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ( ( ( f @ X4 )
= ( f @ X6 ) )
=> ( X4 = X6 ) )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ( ( f @ X4 )
!= ( f @ X6 ) )
| ( X4 = X6 )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ( ( f @ X4 )
!= ( f @ X6 ) )
| ( X4 = X6 )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl139,plain,
! [X0: $o,X1: $i,X2: $i] :
( ( ( f @ X1 )
!= ( f @ X2 ) )
| ( X1 = X2 )
| ( '#K' @ X0 @ ( f @ ( '#sk1' @ ( '#K' @ X0 ) ) ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl140,plain,
! [X0: $o,X1: $i,X2: $i] :
( ( ( f @ X1 )
!= ( f @ X2 ) )
| ( X1 = X2 )
| X0 ),
inference('comb-normalize',[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( f @ X0 )
!= ( f @ X1 ) ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl262,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( f @ X1 ) )
| ( ( '#sk1' @ ( $i = X0 ) )
= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl235]) ).
thf(zip_derived_cl292,plain,
! [X0: $i] :
( ( '#sk1'
@ ( $i
= ( f @ X0 ) ) )
= X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $o] :
( ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ f ) ) @ f ) ) ) @ (=) ) ) )
& ( cP @ a ) )
=> ( ?? @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $o] :
( ~ ( ?? @ X2 )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ X4 )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl301,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( ( f @ X0 )
!= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl16]) ).
thf(zip_derived_cl310,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ( ( f @ X0 )
!= X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $o] :
( ( cP @ a )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl45,plain,
! [X0: $o] :
( ( cP @ a )
| ( '#K' @ X0 @ ( f @ ( '#sk1' @ ( '#K' @ X0 ) ) ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl46,plain,
! [X0: $o] :
( ( cP @ a )
| X0 ),
inference('comb-normalize',[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl58,plain,
cP @ a,
inference(condensation,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl312,plain,
! [X0: $i] :
( ( f @ a )
!= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl310,zip_derived_cl58]) ).
thf(zip_derived_cl323,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO222^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ubf7D5hYVG true
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 07:15:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/0.92 % Solved by lams/40_b.comb.sh.
% 1.37/0.92 % done 30 iterations in 0.136s
% 1.37/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.92 % SZS output start Refutation
% See solution above
% 1.37/0.92
% 1.37/0.92
% 1.37/0.92 % Terminating...
% 1.62/1.03 % Runner terminated.
% 1.62/1.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------