TSTP Solution File: SYO239^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO239^5 : 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.nWC8DnGLAo true
% Computer : n004.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 05:50:25 EDT 2023
% Result : Theorem 1.81s 1.18s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 61 ( 24 equ; 11 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 214 ( 25 ~; 0 |; 0 &; 148 @)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 4 usr; 5 con; 0-2 aty)
% ( 7 !!; 18 ??; 0 @@+; 0 @@-)
% Number of variables : 69 ( 52 ^; 11 !; 6 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_type,type,
s: $i > $i ).
thf(c_star_type,type,
c_star: $i > $i > $i ).
thf('#sk22_type',type,
'#sk22': ( $i > $o ) > $i ).
thf(c2_type,type,
c2: $i ).
thf(cBLEDSOE_FENG_SV_EO1_W_LEM,conjecture,
( ! [Xx: $i] :
( ? [Xu: $i] :
( Xx
= ( c_star @ c2 @ Xu ) )
<=> ~ ? [Xv: $i] :
( ( s @ Xx )
= ( c_star @ c2 @ Xv ) ) )
=> ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( s @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xx: $i] :
( ? [Xu: $i] :
( Xx
= ( c_star @ c2 @ Xu ) )
<=> ~ ? [Xv: $i] :
( ( s @ Xx )
= ( c_star @ c2 @ Xv ) ) )
=> ? [A: $i > $o] :
! [Xx: $i] :
( ( A @ Xx )
<=> ~ ( A @ ( s @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cBLEDSOE_FENG_SV_EO1_W_LEM]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] :
( Y0
= ( c_star @ c2 @ Y1 ) ) )
<=> ( (~)
@ ( ??
@ ^ [Y1: $i] :
( ( s @ Y0 )
= ( c_star @ c2 @ Y1 ) ) ) ) ) )
=> ( ??
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
<=> ( (~) @ ( Y0 @ ( s @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( ??
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
<=> ( (~) @ ( Y0 @ ( s @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i > $o] :
~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
<=> ( (~) @ ( X2 @ ( s @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X0: $i > $o] :
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( (~) @ ( (~) @ ( X0 @ ( s @ Y0 ) ) ) ) ) ),
inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl22,plain,
! [X0: $i > $o] :
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( X0 @ Y0 ) )
<=> ( X0 @ ( s @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl23,plain,
! [X0: $i > $o] :
~ ( ( (~) @ ( X0 @ ( '#sk22' @ X0 ) ) )
<=> ( X0 @ ( s @ ( '#sk22' @ X0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,plain,
! [X0: $i > $o] :
( ( X0 @ ( '#sk22' @ X0 ) )
= ( X0 @ ( s @ ( '#sk22' @ X0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] :
( Y0
= ( c_star @ c2 @ Y1 ) ) )
<=> ( (~)
@ ( ??
@ ^ [Y1: $i] :
( ( s @ Y0 )
= ( c_star @ c2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( ??
@ ^ [Y0: $i] :
( X2
= ( c_star @ c2 @ Y0 ) ) )
<=> ( (~)
@ ( ??
@ ^ [Y0: $i] :
( ( s @ X2 )
= ( c_star @ c2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ( ??
@ ^ [Y0: $i] :
( X2
= ( c_star @ c2 @ Y0 ) ) )
!= ( ??
@ ^ [Y0: $i] :
( ( s @ X2 )
= ( c_star @ c2 @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl30,plain,
( ( ??
@ ^ [Y0: $i] :
( ( s
@ ( '#sk22'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( s @ Y1 )
= ( c_star @ c2 @ Y2 ) ) ) ) )
= ( c_star @ c2 @ Y0 ) ) )
!= ( ^ [Y0: $i] :
( ??
@ ( ^ [Y1: $i,Y2: $i] :
( ( ^ [Y3: $i,Y4: $i] :
( s
@ ( ^ [Y5: $i,Y6: $i] : Y5
@ Y3
@ Y4 ) )
@ Y1
@ Y2 )
= ( ^ [Y3: $i,Y4: $i] :
( c_star
@ ( ^ [Y5: $i,Y6: $i] : c2
@ Y3
@ Y4 )
@ ( ^ [Y5: $i,Y6: $i] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) )
@ ( '#sk22'
@ ^ [Y0: $i] :
( ??
@ ( ^ [Y1: $i,Y2: $i] :
( ( ^ [Y3: $i,Y4: $i] :
( s
@ ( ^ [Y5: $i,Y6: $i] : Y5
@ Y3
@ Y4 ) )
@ Y1
@ Y2 )
= ( ^ [Y3: $i,Y4: $i] :
( c_star
@ ( ^ [Y5: $i,Y6: $i] : c2
@ Y3
@ Y4 )
@ ( ^ [Y5: $i,Y6: $i] : Y6
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl11]) ).
thf(zip_derived_cl61,plain,
( ( ??
@ ^ [Y0: $i] :
( ( s
@ ( '#sk22'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( s @ Y1 )
= ( c_star @ c2 @ Y2 ) ) ) ) )
= ( c_star @ c2 @ Y0 ) ) )
!= ( ??
@ ^ [Y0: $i] :
( ( s
@ ( '#sk22'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( s @ Y1 )
= ( c_star @ c2 @ Y2 ) ) ) ) )
= ( c_star @ c2 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl62,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO239^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nWC8DnGLAo true
% 0.14/0.35 % Computer : n004.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 01:49:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.70 % Total configuration time : 828
% 0.22/0.70 % Estimated wc time : 1656
% 0.22/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.97/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.97/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.97/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.40/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.40/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.40/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.40/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.40/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.49/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.57/1.03 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.81/1.18 % Solved by lams/35_full_unif.sh.
% 1.81/1.18 % done 12 iterations in 0.123s
% 1.81/1.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.81/1.18 % SZS output start Refutation
% See solution above
% 1.81/1.18
% 1.81/1.18
% 1.81/1.18 % Terminating...
% 1.99/1.29 % Runner terminated.
% 1.99/1.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------