TSTP Solution File: SYO173^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO173^5 : 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.jH5wbWfVBX true
% Computer : n014.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 05:49:57 EDT 2023
% Result : Theorem 1.57s 0.92s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 12 unt; 4 typ; 0 def)
% Number of atoms : 119 ( 0 equ; 10 cnn)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 526 ( 38 ~; 32 |; 12 &; 418 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 5 con; 0-2 aty)
% ( 24 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 109 ( 26 ^; 81 !; 2 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
thf(nt_type,type,
nt: $i > $i ).
thf(cT_type,type,
cT: $i > $o ).
thf(imp_type,type,
imp: $i > $i > $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(cLCL077_1,conjecture,
~ ( ? [Xa: $i] :
~ ( cT @ ( imp @ ( nt @ ( nt @ Xa ) ) @ Xa ) )
& ! [Xp: $i,Xq: $i] : ( cT @ ( imp @ ( imp @ ( nt @ Xp ) @ ( nt @ Xq ) ) @ ( imp @ Xq @ Xp ) ) )
& ! [Xp: $i,Xq: $i,Xr: $i] : ( cT @ ( imp @ ( imp @ Xp @ ( imp @ Xq @ Xr ) ) @ ( imp @ ( imp @ Xp @ Xq ) @ ( imp @ Xp @ Xr ) ) ) )
& ! [Xp: $i,Xq: $i] : ( cT @ ( imp @ Xp @ ( imp @ Xq @ Xp ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( cT @ ( imp @ Xp @ Xq ) )
| ~ ( cT @ Xp )
| ( cT @ Xq ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ? [Xa: $i] :
~ ( cT @ ( imp @ ( nt @ ( nt @ Xa ) ) @ Xa ) )
& ! [Xp: $i,Xq: $i] : ( cT @ ( imp @ ( imp @ ( nt @ Xp ) @ ( nt @ Xq ) ) @ ( imp @ Xq @ Xp ) ) )
& ! [Xp: $i,Xq: $i,Xr: $i] : ( cT @ ( imp @ ( imp @ Xp @ ( imp @ Xq @ Xr ) ) @ ( imp @ ( imp @ Xp @ Xq ) @ ( imp @ Xp @ Xr ) ) ) )
& ! [Xp: $i,Xq: $i] : ( cT @ ( imp @ Xp @ ( imp @ Xq @ Xp ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( cT @ ( imp @ Xp @ Xq ) )
| ~ ( cT @ Xp )
| ( cT @ Xq ) ) ),
inference('cnf.neg',[status(esa)],[cLCL077_1]) ).
thf(zip_derived_cl0,plain,
( ( ??
@ ^ [Y0: $i] : ( (~) @ ( cT @ ( imp @ ( nt @ ( nt @ Y0 ) ) @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cT @ ( imp @ ( imp @ ( nt @ Y0 ) @ ( nt @ Y1 ) ) @ ( imp @ Y1 @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] : ( cT @ ( imp @ ( imp @ Y0 @ ( imp @ Y1 @ Y2 ) ) @ ( imp @ ( imp @ Y0 @ Y1 ) @ ( imp @ Y0 @ Y2 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cT @ ( imp @ Y0 @ ( imp @ Y1 @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cT @ ( imp @ Y0 @ Y1 ) ) )
| ( (~) @ ( cT @ Y0 ) )
| ( cT @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( ??
@ ^ [Y0: $i] : ( (~) @ ( cT @ ( imp @ ( nt @ ( nt @ Y0 ) ) @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( cT @ ( imp @ ( nt @ ( nt @ '#sk1' ) ) @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cT @ ( imp @ Y0 @ ( imp @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( cT @ ( imp @ X2 @ ( imp @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] : ( cT @ ( imp @ X2 @ ( imp @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13_001,plain,
! [X2: $i,X4: $i] : ( cT @ ( imp @ X2 @ ( imp @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] : ( cT @ ( imp @ ( imp @ Y0 @ ( imp @ Y1 @ Y2 ) ) @ ( imp @ ( imp @ Y0 @ Y1 ) @ ( imp @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cT @ ( imp @ ( imp @ X2 @ ( imp @ Y0 @ Y1 ) ) @ ( imp @ ( imp @ X2 @ Y0 ) @ ( imp @ X2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] : ( cT @ ( imp @ ( imp @ X2 @ ( imp @ X4 @ Y0 ) ) @ ( imp @ ( imp @ X2 @ X4 ) @ ( imp @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] : ( cT @ ( imp @ ( imp @ X2 @ ( imp @ X4 @ X6 ) ) @ ( imp @ ( imp @ X2 @ X4 ) @ ( imp @ X2 @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cT @ ( imp @ Y0 @ Y1 ) ) )
| ( (~) @ ( cT @ Y0 ) )
| ( cT @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cT @ ( imp @ X2 @ Y0 ) ) )
| ( (~) @ ( cT @ X2 ) )
| ( cT @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cT @ ( imp @ X2 @ X4 ) ) )
| ( (~) @ ( cT @ X2 ) )
| ( cT @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ~ ( cT @ ( imp @ X2 @ X4 ) )
| ~ ( cT @ X2 )
| ( cT @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cT @ ( imp @ ( imp @ X1 @ X2 ) @ ( imp @ X1 @ X0 ) ) )
| ~ ( cT @ ( imp @ X1 @ ( imp @ X2 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).
thf(zip_derived_cl16_002,plain,
! [X2: $i,X4: $i] :
( ~ ( cT @ ( imp @ X2 @ X4 ) )
| ~ ( cT @ X2 )
| ( cT @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cT @ ( imp @ X1 @ ( imp @ X2 @ X0 ) ) )
| ( cT @ ( imp @ X1 @ X0 ) )
| ~ ( cT @ ( imp @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl16]) ).
thf(zip_derived_cl16_003,plain,
! [X2: $i,X4: $i] :
( ~ ( cT @ ( imp @ X2 @ X4 ) )
| ~ ( cT @ X2 )
| ( cT @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl13_004,plain,
! [X2: $i,X4: $i] : ( cT @ ( imp @ X2 @ ( imp @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( cT @ ( imp @ X1 @ X0 ) )
| ~ ( cT @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cT @ ( imp @ X2 @ X1 ) )
| ( cT @ ( imp @ X2 @ X0 ) )
| ~ ( cT @ ( imp @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl17]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cT @ ( imp @ ( imp @ X1 @ X0 ) @ X2 ) )
| ( cT @ ( imp @ X0 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl45]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cT @ ( imp @ ( imp @ ( nt @ Y0 ) @ ( nt @ Y1 ) ) @ ( imp @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( cT @ ( imp @ ( imp @ ( nt @ X2 ) @ ( nt @ Y0 ) ) @ ( imp @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] : ( cT @ ( imp @ ( imp @ ( nt @ X2 ) @ ( nt @ X4 ) ) @ ( imp @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i] : ( cT @ ( imp @ ( nt @ X1 ) @ ( imp @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl11]) ).
thf(zip_derived_cl45_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cT @ ( imp @ X2 @ X1 ) )
| ( cT @ ( imp @ X2 @ X0 ) )
| ~ ( cT @ ( imp @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl17]) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cT @ ( imp @ ( imp @ X1 @ X0 ) @ X2 ) )
| ( cT @ ( imp @ ( nt @ X1 ) @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl45]) ).
thf(zip_derived_cl301,plain,
! [X0: $i,X1: $i,X2: $i] : ( cT @ ( imp @ ( nt @ X1 ) @ ( imp @ X2 @ ( imp @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl178]) ).
thf(zip_derived_cl11_006,plain,
! [X2: $i,X4: $i] : ( cT @ ( imp @ ( imp @ ( nt @ X2 ) @ ( nt @ X4 ) ) @ ( imp @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl178_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cT @ ( imp @ ( imp @ X1 @ X0 ) @ X2 ) )
| ( cT @ ( imp @ ( nt @ X1 ) @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl45]) ).
thf(zip_derived_cl297,plain,
! [X0: $i,X1: $i] : ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ ( imp @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl178]) ).
thf(zip_derived_cl37_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cT @ ( imp @ X1 @ ( imp @ X2 @ X0 ) ) )
| ( cT @ ( imp @ X1 @ X0 ) )
| ~ ( cT @ ( imp @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl16]) ).
thf(zip_derived_cl321,plain,
! [X0: $i,X1: $i] :
( ~ ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ X1 ) )
| ( cT @ ( imp @ ( nt @ ( nt @ X0 ) ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl37]) ).
thf(zip_derived_cl365,plain,
! [X1: $i] : ( cT @ ( imp @ ( nt @ ( nt @ X1 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl321]) ).
thf(zip_derived_cl387,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO173^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jH5wbWfVBX true
% 0.14/0.35 % Computer : n014.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 07:37:02 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % 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
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.57/0.92 % Solved by lams/20_acsne_simpl.sh.
% 1.57/0.92 % done 162 iterations in 0.119s
% 1.57/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.57/0.92 % SZS output start Refutation
% See solution above
% 1.57/0.92
% 1.57/0.92
% 1.57/0.92 % Terminating...
% 1.73/0.99 % Runner terminated.
% 1.73/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------