%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP070^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wtPAhaUtU7 true
% Computer : n027.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 : Thu Oct 2 04:38:44 PM UTC 2025
% Result : Theorem 15.74s 2.71s
% Output : Refutation 16.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 235 ( 81 equ; 29 cnn)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 2065 ( 44 ~; 8 |; 32 &;1869 @)
% ( 0 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 10 con; 0-3 aty)
% ( 46 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 192 ( 46 ^; 146 !; 0 ?; 192 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(tree_a_type,type,
tree_a: $tType ).
thf(multiset_a_type,type,
multiset_a: $tType ).
thf(multiset_a2_type,type,
multiset_a2: tree_a > multiset_a ).
thf(l2_type,type,
l2: tree_a ).
thf(heapIm1091024090Down_a_type,type,
heapIm1091024090Down_a: tree_a > tree_a ).
thf(val_a_type,type,
val_a: tree_a > a ).
thf(l1_type,type,
l1: tree_a ).
thf(heapIm1257206334ight_a_type,type,
heapIm1257206334ight_a: tree_a > tree_a ).
thf(v1_type,type,
v1: a ).
thf(v_type,type,
v: a ).
thf(r2_type,type,
r2: tree_a ).
thf(r1_type,type,
r1: tree_a ).
thf(t_a_type,type,
t_a: a > tree_a > tree_a > tree_a ).
thf(v2_type,type,
v2: a ).
thf(heapIm1140443833left_a_type,type,
heapIm1140443833left_a: tree_a > tree_a ).
thf(ord_less_eq_a_type,type,
ord_less_eq_a: a > a > $o ).
thf(fact_32_siftDown_Osimps_I6_J,axiom,
! [Va: a,Vb: tree_a,Vc: tree_a,Vd: a,Ve: tree_a,Vf: tree_a,V: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Va @ Vb @ Vc ) ) @ ( val_a @ ( t_a @ Vd @ Ve @ Vf ) ) )
=> ( ( ~ ( ord_less_eq_a @ ( val_a @ ( t_a @ Vd @ Ve @ Vf ) ) @ V )
=> ( ( heapIm1091024090Down_a @ ( t_a @ V @ ( t_a @ Vd @ Ve @ Vf ) @ ( t_a @ Va @ Vb @ Vc ) ) )
= ( t_a @ ( val_a @ ( t_a @ Vd @ Ve @ Vf ) ) @ ( heapIm1091024090Down_a @ ( t_a @ V @ ( heapIm1140443833left_a @ ( t_a @ Vd @ Ve @ Vf ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Vd @ Ve @ Vf ) ) ) ) @ ( t_a @ Va @ Vb @ Vc ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Vd @ Ve @ Vf ) ) @ V )
=> ( ( heapIm1091024090Down_a @ ( t_a @ V @ ( t_a @ Vd @ Ve @ Vf ) @ ( t_a @ Va @ Vb @ Vc ) ) )
= ( t_a @ V @ ( t_a @ Vd @ Ve @ Vf ) @ ( t_a @ Va @ Vb @ Vc ) ) ) ) ) )
& ( ~ ( ord_less_eq_a @ ( val_a @ ( t_a @ Va @ Vb @ Vc ) ) @ ( val_a @ ( t_a @ Vd @ Ve @ Vf ) ) )
=> ( ( ~ ( ord_less_eq_a @ ( val_a @ ( t_a @ Va @ Vb @ Vc ) ) @ V )
=> ( ( heapIm1091024090Down_a @ ( t_a @ V @ ( t_a @ Vd @ Ve @ Vf ) @ ( t_a @ Va @ Vb @ Vc ) ) )
= ( t_a @ ( val_a @ ( t_a @ Va @ Vb @ Vc ) ) @ ( t_a @ Vd @ Ve @ Vf ) @ ( heapIm1091024090Down_a @ ( t_a @ V @ ( heapIm1140443833left_a @ ( t_a @ Va @ Vb @ Vc ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Va @ Vb @ Vc ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Va @ Vb @ Vc ) ) @ V )
=> ( ( heapIm1091024090Down_a @ ( t_a @ V @ ( t_a @ Vd @ Ve @ Vf ) @ ( t_a @ Va @ Vb @ Vc ) ) )
= ( t_a @ V @ ( t_a @ Vd @ Ve @ Vf ) @ ( t_a @ Va @ Vb @ Vc ) ) ) ) ) ) ) ).
thf(zip_derived_cl32,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: tree_a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: tree_a] :
( !!
@ ^ [Y5: tree_a] :
( !!
@ ^ [Y6: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ ( val_a @ ( t_a @ Y3 @ Y4 @ Y5 ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ Y3 @ Y4 @ Y5 ) ) @ Y6 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y6 @ ( t_a @ Y3 @ Y4 @ Y5 ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
= ( t_a @ ( val_a @ ( t_a @ Y3 @ Y4 @ Y5 ) ) @ ( heapIm1091024090Down_a @ ( t_a @ Y6 @ ( heapIm1140443833left_a @ ( t_a @ Y3 @ Y4 @ Y5 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Y3 @ Y4 @ Y5 ) ) ) ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Y3 @ Y4 @ Y5 ) ) @ Y6 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y6 @ ( t_a @ Y3 @ Y4 @ Y5 ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
= ( t_a @ Y6 @ ( t_a @ Y3 @ Y4 @ Y5 ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ ( val_a @ ( t_a @ Y3 @ Y4 @ Y5 ) ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ Y6 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y6 @ ( t_a @ Y3 @ Y4 @ Y5 ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
= ( t_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ ( t_a @ Y3 @ Y4 @ Y5 ) @ ( heapIm1091024090Down_a @ ( t_a @ Y6 @ ( heapIm1140443833left_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ Y6 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y6 @ ( t_a @ Y3 @ Y4 @ Y5 ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
= ( t_a @ Y6 @ ( t_a @ Y3 @ Y4 @ Y5 ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_32_siftDown_Osimps_I6_J]) ).
thf(zip_derived_cl2423,plain,
! [X2: a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: tree_a] :
( !!
@ ^ [Y4: tree_a] :
( !!
@ ^ [Y5: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ Y0 @ Y1 ) ) @ ( val_a @ ( t_a @ Y2 @ Y3 @ Y4 ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ Y2 @ Y3 @ Y4 ) ) @ Y5 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y5 @ ( t_a @ Y2 @ Y3 @ Y4 ) @ ( t_a @ X2 @ Y0 @ Y1 ) ) )
= ( t_a @ ( val_a @ ( t_a @ Y2 @ Y3 @ Y4 ) ) @ ( heapIm1091024090Down_a @ ( t_a @ Y5 @ ( heapIm1140443833left_a @ ( t_a @ Y2 @ Y3 @ Y4 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Y2 @ Y3 @ Y4 ) ) ) ) @ ( t_a @ X2 @ Y0 @ Y1 ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Y2 @ Y3 @ Y4 ) ) @ Y5 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y5 @ ( t_a @ Y2 @ Y3 @ Y4 ) @ ( t_a @ X2 @ Y0 @ Y1 ) ) )
= ( t_a @ Y5 @ ( t_a @ Y2 @ Y3 @ Y4 ) @ ( t_a @ X2 @ Y0 @ Y1 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ Y0 @ Y1 ) ) @ ( val_a @ ( t_a @ Y2 @ Y3 @ Y4 ) ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ Y0 @ Y1 ) ) @ Y5 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y5 @ ( t_a @ Y2 @ Y3 @ Y4 ) @ ( t_a @ X2 @ Y0 @ Y1 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X2 @ Y0 @ Y1 ) ) @ ( t_a @ Y2 @ Y3 @ Y4 ) @ ( heapIm1091024090Down_a @ ( t_a @ Y5 @ ( heapIm1140443833left_a @ ( t_a @ X2 @ Y0 @ Y1 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X2 @ Y0 @ Y1 ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ Y0 @ Y1 ) ) @ Y5 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y5 @ ( t_a @ Y2 @ Y3 @ Y4 ) @ ( t_a @ X2 @ Y0 @ Y1 ) ) )
= ( t_a @ Y5 @ ( t_a @ Y2 @ Y3 @ Y4 ) @ ( t_a @ X2 @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl2424,plain,
! [X2: a,X4: tree_a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: tree_a] :
( !!
@ ^ [Y3: tree_a] :
( !!
@ ^ [Y4: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ Y0 ) ) @ ( val_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) @ Y4 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y4 @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( t_a @ X2 @ X4 @ Y0 ) ) )
= ( t_a @ ( val_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) @ ( heapIm1091024090Down_a @ ( t_a @ Y4 @ ( heapIm1140443833left_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) ) @ ( t_a @ X2 @ X4 @ Y0 ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) @ Y4 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y4 @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( t_a @ X2 @ X4 @ Y0 ) ) )
= ( t_a @ Y4 @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( t_a @ X2 @ X4 @ Y0 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ Y0 ) ) @ ( val_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ Y0 ) ) @ Y4 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y4 @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( t_a @ X2 @ X4 @ Y0 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X2 @ X4 @ Y0 ) ) @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( heapIm1091024090Down_a @ ( t_a @ Y4 @ ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ Y0 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ Y0 ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ Y0 ) ) @ Y4 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y4 @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( t_a @ X2 @ X4 @ Y0 ) ) )
= ( t_a @ Y4 @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( t_a @ X2 @ X4 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2423]) ).
thf(zip_derived_cl2425,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: tree_a] :
( !!
@ ^ [Y3: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ Y3 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y3 @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ ( heapIm1091024090Down_a @ ( t_a @ Y3 @ ( heapIm1140443833left_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ Y3 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y3 @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ Y3 @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ Y3 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y3 @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( heapIm1091024090Down_a @ ( t_a @ Y3 @ ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ Y3 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y3 @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ Y3 @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2424]) ).
thf(zip_derived_cl2426,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ X8 @ Y0 @ Y1 ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X8 @ Y0 @ Y1 ) ) @ Y2 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y2 @ ( t_a @ X8 @ Y0 @ Y1 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X8 @ Y0 @ Y1 ) ) @ ( heapIm1091024090Down_a @ ( t_a @ Y2 @ ( heapIm1140443833left_a @ ( t_a @ X8 @ Y0 @ Y1 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X8 @ Y0 @ Y1 ) ) ) ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X8 @ Y0 @ Y1 ) ) @ Y2 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y2 @ ( t_a @ X8 @ Y0 @ Y1 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ Y2 @ ( t_a @ X8 @ Y0 @ Y1 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ X8 @ Y0 @ Y1 ) ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ Y2 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y2 @ ( t_a @ X8 @ Y0 @ Y1 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( t_a @ X8 @ Y0 @ Y1 ) @ ( heapIm1091024090Down_a @ ( t_a @ Y2 @ ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ Y2 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y2 @ ( t_a @ X8 @ Y0 @ Y1 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ Y2 @ ( t_a @ X8 @ Y0 @ Y1 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2425]) ).
thf(zip_derived_cl2427,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ X8 @ X10 @ Y0 ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X8 @ X10 @ Y0 ) ) @ Y1 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y1 @ ( t_a @ X8 @ X10 @ Y0 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X8 @ X10 @ Y0 ) ) @ ( heapIm1091024090Down_a @ ( t_a @ Y1 @ ( heapIm1140443833left_a @ ( t_a @ X8 @ X10 @ Y0 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X8 @ X10 @ Y0 ) ) ) ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X8 @ X10 @ Y0 ) ) @ Y1 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y1 @ ( t_a @ X8 @ X10 @ Y0 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ Y1 @ ( t_a @ X8 @ X10 @ Y0 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ X8 @ X10 @ Y0 ) ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ Y1 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y1 @ ( t_a @ X8 @ X10 @ Y0 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( t_a @ X8 @ X10 @ Y0 ) @ ( heapIm1091024090Down_a @ ( t_a @ Y1 @ ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ Y1 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y1 @ ( t_a @ X8 @ X10 @ Y0 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ Y1 @ ( t_a @ X8 @ X10 @ Y0 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2426]) ).
thf(zip_derived_cl2428,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a,X12: tree_a] :
( !!
@ ^ [Y0: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) @ Y0 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y0 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) @ ( heapIm1091024090Down_a @ ( t_a @ Y0 @ ( heapIm1140443833left_a @ ( t_a @ X8 @ X10 @ X12 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X8 @ X10 @ X12 ) ) ) ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) @ Y0 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y0 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ Y0 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ Y0 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y0 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( t_a @ X8 @ X10 @ X12 ) @ ( heapIm1091024090Down_a @ ( t_a @ Y0 @ ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ Y0 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ Y0 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ Y0 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2427]) ).
thf(zip_derived_cl2429,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a,X12: tree_a,X14: a] :
( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) @ X14 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) @ ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( heapIm1140443833left_a @ ( t_a @ X8 @ X10 @ X12 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X8 @ X10 @ X12 ) ) ) ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) @ X14 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( val_a @ ( t_a @ X8 @ X10 @ X12 ) ) ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ X14 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( t_a @ X8 @ X10 @ X12 ) @ ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) )
& ( ( ord_less_eq_a @ ( val_a @ ( t_a @ X2 @ X4 @ X6 ) ) @ X14 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2428]) ).
thf(fact_30_val_Osimps,axiom,
! [V: a,Uu: tree_a,Uv: tree_a] :
( ( val_a @ ( t_a @ V @ Uu @ Uv ) )
= V ) ).
thf(zip_derived_cl30,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: tree_a] :
( ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) )
= Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_30_val_Osimps]) ).
thf(zip_derived_cl1125,plain,
! [X2: a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: tree_a] :
( ( val_a @ ( t_a @ X2 @ Y0 @ Y1 ) )
= X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl1126,plain,
! [X2: a,X4: tree_a] :
( !!
@ ^ [Y0: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ Y0 ) )
= X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1125]) ).
thf(zip_derived_cl1127,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1126]) ).
thf(zip_derived_cl1128,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1128_001,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1128_002,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1128_003,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(fact_9_left_Osimps,axiom,
! [V: a,L: tree_a,R: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ V @ L @ R ) )
= L ) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ Y0 @ Y1 @ Y2 ) )
= Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_9_left_Osimps]) ).
thf(zip_derived_cl572,plain,
! [X2: a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ X2 @ Y0 @ Y1 ) )
= Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl573,plain,
! [X2: a,X4: tree_a] :
( !!
@ ^ [Y0: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ Y0 ) )
= X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl572]) ).
thf(zip_derived_cl574,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl573]) ).
thf(zip_derived_cl575,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl574]) ).
thf(fact_10_right_Osimps,axiom,
! [V: a,L: tree_a,R: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ V @ L @ R ) )
= R ) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: tree_a] :
( !!
@ ^ [Y2: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ Y0 @ Y1 @ Y2 ) )
= Y2 ) ) ) ),
inference(cnf,[status(esa)],[fact_10_right_Osimps]) ).
thf(zip_derived_cl700,plain,
! [X2: a] :
( !!
@ ^ [Y0: tree_a] :
( !!
@ ^ [Y1: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ X2 @ Y0 @ Y1 ) )
= Y1 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl701,plain,
! [X2: a,X4: tree_a] :
( !!
@ ^ [Y0: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ Y0 ) )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl700]) ).
thf(zip_derived_cl702,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X6 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl701]) ).
thf(zip_derived_cl703,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X6 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl702]) ).
thf(zip_derived_cl1128_004,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1128_005,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1128_006,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1128_007,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl1128_008,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl575_009,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( heapIm1140443833left_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl574]) ).
thf(zip_derived_cl703_010,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( heapIm1257206334ight_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X6 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl702]) ).
thf(zip_derived_cl1128_011,plain,
! [X2: a,X4: tree_a,X6: tree_a] :
( ( val_a @ ( t_a @ X2 @ X4 @ X6 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1127]) ).
thf(zip_derived_cl2430,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a,X12: tree_a,X14: a] :
( ( ( ord_less_eq_a @ X2 @ X8 )
=> ( ( ( (~) @ ( ord_less_eq_a @ X8 @ X14 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X8 @ ( heapIm1091024090Down_a @ ( t_a @ X14 @ X10 @ X12 ) ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
& ( ( ord_less_eq_a @ X8 @ X14 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) )
& ( ( (~) @ ( ord_less_eq_a @ X2 @ X8 ) )
=> ( ( ( (~) @ ( ord_less_eq_a @ X2 @ X14 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X2 @ ( t_a @ X8 @ X10 @ X12 ) @ ( heapIm1091024090Down_a @ ( t_a @ X14 @ X4 @ X6 ) ) ) ) )
& ( ( ord_less_eq_a @ X2 @ X14 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2429,zip_derived_cl1128,zip_derived_cl1128,zip_derived_cl1128,zip_derived_cl1128,zip_derived_cl575,zip_derived_cl703,zip_derived_cl1128,zip_derived_cl1128,zip_derived_cl1128,zip_derived_cl1128,zip_derived_cl1128,zip_derived_cl575,zip_derived_cl703,zip_derived_cl1128]) ).
thf(zip_derived_cl2431,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a,X12: tree_a,X14: a] :
( ( ord_less_eq_a @ X2 @ X8 )
=> ( ( ( (~) @ ( ord_less_eq_a @ X8 @ X14 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X8 @ ( heapIm1091024090Down_a @ ( t_a @ X14 @ X10 @ X12 ) ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
& ( ( ord_less_eq_a @ X8 @ X14 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2430]) ).
thf(zip_derived_cl2433,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a,X12: tree_a,X14: a] :
( ~ ( ord_less_eq_a @ X2 @ X8 )
| ( ( ( (~) @ ( ord_less_eq_a @ X8 @ X14 ) )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X8 @ ( heapIm1091024090Down_a @ ( t_a @ X14 @ X10 @ X12 ) ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
& ( ( ord_less_eq_a @ X8 @ X14 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2431]) ).
thf(zip_derived_cl2436,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a,X12: tree_a,X14: a] :
( ( ( ord_less_eq_a @ X8 @ X14 )
=> ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) ) )
| ~ ( ord_less_eq_a @ X2 @ X8 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2433]) ).
thf(zip_derived_cl2440,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a,X12: tree_a,X14: a] :
( ~ ( ord_less_eq_a @ X8 @ X14 )
| ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
| ~ ( ord_less_eq_a @ X2 @ X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2436]) ).
thf(zip_derived_cl2444,plain,
! [X2: a,X4: tree_a,X6: tree_a,X8: a,X10: tree_a,X12: tree_a,X14: a] :
( ~ ( ord_less_eq_a @ X8 @ X14 )
| ( ( heapIm1091024090Down_a @ ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
= ( t_a @ X14 @ ( t_a @ X8 @ X10 @ X12 ) @ ( t_a @ X2 @ X4 @ X6 ) ) )
| ~ ( ord_less_eq_a @ X2 @ X8 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2440]) ).
thf(conj_0,conjecture,
( ( multiset_a2 @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) )
= ( multiset_a2 @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( multiset_a2 @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) )
!= ( multiset_a2 @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl214,plain,
( ( multiset_a2 @ ( heapIm1091024090Down_a @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) )
!= ( multiset_a2 @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2447,plain,
( ( ( multiset_a2 @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
!= ( multiset_a2 @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) )
| ~ ( ord_less_eq_a @ v2 @ v1 )
| ~ ( ord_less_eq_a @ v1 @ v ) ),
inference('sup-',[status(thm)],[zip_derived_cl2444,zip_derived_cl214]) ).
thf(fact_0__092_060open_062v2_A_092_060le_062_Av1_092_060close_062,axiom,
ord_less_eq_a @ v2 @ v1 ).
thf(zip_derived_cl0,plain,
ord_less_eq_a @ v2 @ v1,
inference(cnf,[status(esa)],[fact_0__092_060open_062v2_A_092_060le_062_Av1_092_060close_062]) ).
thf(fact_1_True,axiom,
ord_less_eq_a @ v1 @ v ).
thf(zip_derived_cl1,plain,
ord_less_eq_a @ v1 @ v,
inference(cnf,[status(esa)],[fact_1_True]) ).
thf(zip_derived_cl2466,plain,
( ( multiset_a2 @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
!= ( multiset_a2 @ ( t_a @ v @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2447,zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl2467,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP070^1 : TPTP v9.2.0. Released v7.5.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wtPAhaUtU7 true
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 15:33:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.32 % Python version: Python 3.6.8
% 0.16/0.32 % Running in HO mode
% 0.17/0.57 % Total configuration time : 828
% 0.17/0.57 % Estimated wc time : 1656
% 0.17/0.57 % Estimated cpu time (8 cpus) : 207.0
% 1.08/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.08/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.08/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.08/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.08/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.08/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.36/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.36/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 15.74/2.71 % Solved by lams/35_full_unif4.sh.
% 15.74/2.71 % done 259 iterations in 1.954s
% 15.74/2.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.74/2.71 % SZS output start Refutation
% See solution above
% 16.02/2.72
% 16.02/2.72
% 16.02/2.72 % Terminating...
% 16.76/2.92 % Runner terminated.
% 16.76/2.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------