TSTP Solution File: SYO001^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO001^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2yCJWhDj5W true
% 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 : Fri Sep 1 05:49:09 EDT 2023
% Result : Theorem 0.21s 0.78s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 10 unt; 5 typ; 0 def)
% Number of atoms : 48 ( 3 equ; 1 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 178 ( 10 ~; 0 |; 8 &; 97 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 5 usr; 7 con; 0-2 aty)
% ( 23 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 49 ( 29 ^; 20 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(leibeq_type,type,
leibeq: $i > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk4_type',type,
'#sk4': $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(leibeq,axiom,
( leibeq
= ( ^ [X: $i,Y: $i] :
! [P: $i > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ) ).
thf('0',plain,
( leibeq
= ( ^ [X: $i,Y: $i] :
! [P: $i > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[leibeq]) ).
thf('1',plain,
( leibeq
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i > $o] :
( ( X4 @ V_1 )
=> ( X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( ( leibeq @ X @ Y )
& ( leibeq @ Y @ Z ) )
=> ( leibeq @ X @ Z ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i,X8: $i] :
( ( ! [X12: $i > $o] :
( ( X12 @ X6 )
=> ( X12 @ X8 ) )
& ! [X10: $i > $o] :
( ( X10 @ X4 )
=> ( X10 @ X6 ) ) )
=> ! [X14: $i > $o] :
( ( X14 @ X4 )
=> ( X14 @ X8 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i,X8: $i] :
( ( ! [X12: $i > $o] :
( ( X12 @ X6 )
=> ( X12 @ X8 ) )
& ! [X10: $i > $o] :
( ( X10 @ X4 )
=> ( X10 @ X6 ) ) )
=> ! [X14: $i > $o] :
( ( X14 @ X4 )
=> ( X14 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( !!
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y1 )
=> ( Y3 @ Y2 ) ) )
& ( !!
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y0 )
=> ( Y3 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y3: $i > $o] :
( ( Y3 @ Y0 )
=> ( Y3 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( !!
@ ^ [Y2: $i > $o] :
( ( Y2 @ Y0 )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: $i > $o] :
( ( Y2 @ '#sk1' )
=> ( Y2 @ Y0 ) ) ) )
=> ( !!
@ ^ [Y2: $i > $o] :
( ( Y2 @ '#sk1' )
=> ( Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ '#sk2' )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ '#sk1' )
=> ( Y1 @ '#sk2' ) ) ) )
=> ( !!
@ ^ [Y1: $i > $o] :
( ( Y1 @ '#sk1' )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ '#sk2' )
=> ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ '#sk1' )
=> ( Y0 @ '#sk2' ) ) ) )
=> ( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ '#sk1' )
=> ( Y0 @ '#sk3' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ '#sk2' )
=> ( Y0 @ '#sk3' ) ) )
& ( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ '#sk1' )
=> ( Y0 @ '#sk2' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ '#sk1' )
=> ( Y0 @ '#sk2' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o] :
( ( X2 @ '#sk1' )
=> ( X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
( ( '#sk4' @ '#sk1' )
=> ( '#sk4' @ '#sk2' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ '#sk1' )
=> ( Y0 @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( ( '#sk4' @ '#sk1' )
=> ( '#sk4' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
'#sk4' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( Y0 @ '#sk2' )
=> ( Y0 @ '#sk3' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o] :
( ( X2 @ '#sk2' )
=> ( X2 @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( ( '#sk4' @ '#sk2' )
=> ( '#sk4' @ '#sk3' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
~ ( '#sk4' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
( ( '#sk4' @ '#sk2' )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
(~) @ ( '#sk4' @ '#sk2' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
~ ( '#sk4' @ '#sk2' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
( $true
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl13,zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO001^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2yCJWhDj5W true
% 0.13/0.35 % Computer : n019.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 06:03:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.78 % Solved by lams/35_full_unif4.sh.
% 0.21/0.78 % done 3 iterations in 0.009s
% 0.21/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78 % SZS output start Refutation
% See solution above
% 0.21/0.78
% 0.21/0.78
% 0.21/0.78 % Terminating...
% 1.52/0.88 % Runner terminated.
% 1.52/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------