TSTP Solution File: SYO317^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO317^5 : 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.aQ5i5Roopi true
% Computer : n024.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 05:50:42 EDT 2023
% Result : Theorem 1.62s 0.98s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 141 ( 0 equ; 18 cnn)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 443 ( 26 ~; 14 |; 30 &; 307 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 10 usr; 6 con; 0-6 aty)
% ( 27 !!; 11 ??; 0 @@+; 0 @@-)
% Number of variables : 67 ( 8 ^; 43 !; 4 ?; 67 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': ( $i > $o ) > $i ).
thf(cP_type,type,
cP: $i > $o ).
thf(cEQ_type,type,
cEQ: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(f_type,type,
f: $i > $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(cTHM304,conjecture,
( ( ! [Xy: $i,Xz: $i] :
( ( cEQ @ ( f @ Xy ) @ ( f @ Xz ) )
=> ( cEQ @ Xy @ Xz ) )
& ( cP @ a )
& ! [Xx: $i,Xy: $i] :
( ( ( cP @ Xx )
& ( cEQ @ Xx @ Xy ) )
=> ( cP @ Xy ) )
& ! [Xx: $i] : ( cEQ @ Xx @ Xx ) )
=> ? [A: $i > $o] :
( ! [Xx: $i] :
( ( A @ ( f @ Xx ) )
=> ( cP @ Xx ) )
& ? [Xz: $i] : ( A @ Xz ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xy: $i,Xz: $i] :
( ( cEQ @ ( f @ Xy ) @ ( f @ Xz ) )
=> ( cEQ @ Xy @ Xz ) )
& ( cP @ a )
& ! [Xx: $i,Xy: $i] :
( ( ( cP @ Xx )
& ( cEQ @ Xx @ Xy ) )
=> ( cP @ Xy ) )
& ! [Xx: $i] : ( cEQ @ Xx @ Xx ) )
=> ? [A: $i > $o] :
( ! [Xx: $i] :
( ( A @ ( f @ Xx ) )
=> ( cP @ Xx ) )
& ? [Xz: $i] : ( A @ Xz ) ) ),
inference('cnf.neg',[status(esa)],[cTHM304]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cEQ @ ( f @ Y0 ) @ ( f @ Y1 ) )
=> ( cEQ @ Y0 @ Y1 ) ) ) )
& ( cP @ a )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( cP @ Y0 )
& ( cEQ @ Y0 @ Y1 ) )
=> ( cP @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cEQ @ Y0 @ Y0 ) ) )
=> ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ ( f @ Y1 ) )
=> ( cP @ Y1 ) ) )
& ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ cEQ @ f ) ) @ f ) ) ) @ cEQ ) ) )
& ( cP @ a )
& ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (&) @ cP ) ) @ cEQ ) ) ) @ cP ) ) )
& ( !! @ ( '#S' @ cEQ @ '#I' ) ) )
=> ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ '#B' @ f ) ) ) @ cP ) ) ) @ ?? ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ '#B' @ f ) ) ) @ cP ) ) ) @ ?? ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $o] :
~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ X2 @ f ) ) @ cP ) )
& ( ?? @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $o] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ X2 @ f ) ) @ cP ) )
| ~ ( ?? @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $o] :
( ~ ( ( X2 @ ( f @ ( '#sk1' @ X2 ) ) )
=> ( cP @ ( '#sk1' @ X2 ) ) )
| ~ ( ?? @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $o] :
( ( X2 @ ( f @ ( '#sk1' @ X2 ) ) )
| ~ ( ?? @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ X4 )
| ( X2 @ ( f @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl2,plain,
( ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ cEQ @ f ) ) @ f ) ) ) @ cEQ ) ) )
& ( cP @ a )
& ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (&) @ cP ) ) @ cEQ ) ) ) @ cP ) ) )
& ( !! @ ( '#S' @ cEQ @ '#I' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
!! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ cEQ @ f ) ) @ f ) ) ) @ cEQ ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ ( cEQ @ ( f @ X2 ) ) @ f ) ) @ ( cEQ @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( ( cEQ @ ( f @ X2 ) @ ( f @ X4 ) )
=> ( cEQ @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ~ ( cEQ @ ( f @ X2 ) @ ( f @ X4 ) )
| ( cEQ @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ~ ( cEQ @ ( f @ X0 ) @ X1 )
| ( cEQ @ X0 @ ( '#sk1' @ ( cEQ @ ( f @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).
thf(zip_derived_cl6,plain,
!! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (&) @ cP ) ) @ cEQ ) ) ) @ cP ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ ( (&) @ ( cP @ X2 ) ) @ ( cEQ @ X2 ) ) ) @ cP ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i] :
( ( ( cP @ X2 )
& ( cEQ @ X2 @ X4 ) )
=> ( cP @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( ~ ( ( cP @ X2 )
& ( cEQ @ X2 @ X4 ) )
| ( cP @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( ~ ( cP @ X2 )
| ~ ( cEQ @ X2 @ X4 )
| ( cP @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl280,plain,
! [X0: $i,X1: $i] :
( ~ ( cEQ @ ( f @ X0 ) @ X1 )
| ( cP @ ( '#sk1' @ ( cEQ @ ( f @ X0 ) ) ) )
| ~ ( cP @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl20]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $o] :
( ~ ( cP @ ( '#sk1' @ X2 ) )
| ~ ( ?? @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ X4 )
| ~ ( cP @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl7,plain,
!! @ ( '#S' @ cEQ @ '#I' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] : ( cEQ @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
~ ( cP @ ( '#sk1' @ ( cEQ @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(zip_derived_cl300,plain,
! [X0: $i,X1: $i] :
( ~ ( cP @ X0 )
| ~ ( cEQ @ ( f @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl280,zip_derived_cl23]) ).
thf(zip_derived_cl11_001,plain,
! [X2: $i] : ( cEQ @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl304,plain,
! [X0: $i] :
~ ( cP @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl300,zip_derived_cl11]) ).
thf(zip_derived_cl5,plain,
cP @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl315,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl304,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO317^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aQ5i5Roopi true
% 0.14/0.35 % Computer : n024.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 : Sat Aug 26 04:53:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.49/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.62/0.98 % Solved by lams/40_b.comb.sh.
% 1.62/0.98 % done 50 iterations in 0.179s
% 1.62/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.62/0.98 % SZS output start Refutation
% See solution above
% 1.62/0.98
% 1.62/0.98
% 1.62/0.98 % Terminating...
% 2.13/1.07 % Runner terminated.
% 2.13/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------