TSTP Solution File: SYO264^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO264^5 : 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.nXknRwr9Eu true
% Computer : n007.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 05:50:30 EDT 2023
% Result : Theorem 9.96s 1.93s
% Output : Refutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 5 unt; 5 typ; 0 def)
% Number of atoms : 112 ( 0 equ; 55 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 536 ( 137 ~; 87 |; 6 &; 304 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 5 con; 0-1 aty)
% Number of variables : 122 ( 69 ^; 49 !; 4 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: ( $i > $o ) > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__3_type,type,
sk__3: $i > $o ).
thf(cTHM125C,conjecture,
! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
? [Xm: $i > $o,Xn: $i > $o] :
( ! [Xx: $i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) )
& ( ~ ( P @ Xc )
| ( Xm @ Xc ) )
& ( ( Xn @ Xb )
| ( P @ Xb ) )
& ( ( Xn @ Xa )
| ( Xm @ Xa ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xa: $i,Xb: $i,Xc: $i,P: $i > $o] :
? [Xm: $i > $o,Xn: $i > $o] :
( ! [Xx: $i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) )
& ( ~ ( P @ Xc )
| ( Xm @ Xc ) )
& ( ( Xn @ Xb )
| ( P @ Xb ) )
& ( ( Xn @ Xa )
| ( Xm @ Xa ) ) ),
inference('cnf.neg',[status(esa)],[cTHM125C]) ).
thf(zip_derived_cl11,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( sk__3 @ sk__1 )
| ~ ( sk__3 @ ( sk__4 @ X1 ) )
| ( X1 @ ( sk__4 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl109,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( sk__3 @ sk__1 )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ( ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) )
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl118,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( sk__3 @ sk__1 )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ( (~)
@ ( X1
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl119,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( sk__3 @ sk__1 )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ~ ( X1
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl783,plain,
! [X0: $i > $o] :
( ~ ( X0
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
| ~ ( sk__3 @ sk__1 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl8,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( X1 @ sk__1 )
| ( sk__3 @ ( sk__4 @ X1 ) )
| ~ ( X1 @ ( sk__4 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) )
@ sk__1 )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ~ ( ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) )
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl48,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( (~) @ ( X1 @ sk__1 ) )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ~ ( (~)
@ ( X1
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl49,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ( X1 @ sk__1 )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ( X1
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl759,plain,
! [X0: $i > $o] :
( ( X0
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
| ( X0 @ sk__1 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl1483,plain,
( ( ^ [Y0: $i] :
( sk__3
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ sk__1 )
| ( ^ [Y0: $i] :
( sk__3
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sk__4
@ ^ [Y0: $i] :
( (~)
@ ( ^ [Y1: $i] :
( sk__3
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl759]) ).
thf(zip_derived_cl1491,plain,
( ( sk__3 @ sk__1 )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( sk__3 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1483]) ).
thf(zip_derived_cl9,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( X1 @ sk__1 )
| ~ ( sk__3 @ ( sk__4 @ X1 ) )
| ( X1 @ ( sk__4 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) )
@ sk__1 )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ( ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) )
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl157,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( (~) @ ( X1 @ sk__1 ) )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ( (~)
@ ( X1
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl158,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ( X1 @ sk__1 )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ~ ( X1
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl157]) ).
thf(zip_derived_cl1022,plain,
! [X0: $i > $o] :
( ~ ( ^ [Y0: $i] :
( sk__3
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sk__4
@ ^ [Y0: $i] :
( (~)
@ ( ^ [Y1: $i] :
( sk__3
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) ) ) )
| ( ^ [Y0: $i] :
( sk__3
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ sk__1 )
| ~ ( X0 @ sk_ )
| ~ ( X0 @ sk__2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl1023,plain,
! [X0: $i > $o] :
( ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( sk__3 @ Y0 ) ) ) )
| ( sk__3 @ sk__1 )
| ~ ( X0 @ sk_ )
| ~ ( X0 @ sk__2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1022]) ).
thf(zip_derived_cl1184,plain,
( ( sk__3 @ sk__1 )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( sk__3 @ Y0 ) ) ) ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl1023]) ).
thf(zip_derived_cl1699,plain,
sk__3 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl1491,zip_derived_cl1184]) ).
thf(zip_derived_cl1709,plain,
! [X0: $i > $o] :
( ~ ( X0
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
| ~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl783,zip_derived_cl1699]) ).
thf(zip_derived_cl2000,plain,
~ ( ^ [Y0: $i] :
( sk__3
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sk__4
@ ^ [Y0: $i] :
( (~)
@ ( ^ [Y1: $i] :
( sk__3
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1709]) ).
thf(zip_derived_cl2001,plain,
~ ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( sk__3 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2000]) ).
thf(zip_derived_cl10,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( sk__3 @ sk__1 )
| ( sk__3 @ ( sk__4 @ X1 ) )
| ~ ( X1 @ ( sk__4 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl476,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( sk__3 @ sk__1 )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ~ ( ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) )
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl485,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( sk__3 @ sk__1 )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ~ ( (~)
@ ( X1
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl476]) ).
thf(zip_derived_cl486,plain,
! [X0: $i > $o,X1: $i > $o] :
( ~ ( X0 @ sk__2 )
| ~ ( X0 @ sk_ )
| ~ ( sk__3 @ sk__1 )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) )
| ( X1
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X1 @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl485]) ).
thf(zip_derived_cl1402,plain,
! [X0: $i > $o] :
( ( X0
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
| ~ ( sk__3 @ sk__1 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl486]) ).
thf(zip_derived_cl1699_001,plain,
sk__3 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl1491,zip_derived_cl1184]) ).
thf(zip_derived_cl1710,plain,
! [X0: $i > $o] :
( ( X0
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
| ( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1402,zip_derived_cl1699]) ).
thf(zip_derived_cl2233,plain,
( ^ [Y0: $i] :
( sk__3
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sk__4
@ ^ [Y0: $i] :
( (~)
@ ( ^ [Y1: $i] :
( sk__3
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1710]) ).
thf(zip_derived_cl2236,plain,
( sk__3
@ ( sk__4
@ ^ [Y0: $i] : ( (~) @ ( sk__3 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2233]) ).
thf(zip_derived_cl2259,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2001,zip_derived_cl2236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO264^5 : 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.nXknRwr9Eu true
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 05:01:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.60/0.66 % Total configuration time : 828
% 0.60/0.66 % Estimated wc time : 1656
% 0.60/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.12/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.12/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.15/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.15/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 9.96/1.93 % Solved by lams/40_noforms.sh.
% 9.96/1.93 % done 253 iterations in 1.140s
% 9.96/1.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.96/1.93 % SZS output start Refutation
% See solution above
% 9.96/1.93
% 9.96/1.93
% 9.96/1.93 % Terminating...
% 9.96/1.98 % Runner terminated.
% 9.96/1.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------