TSTP Solution File: SEU676^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU676^2 : 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.qaLMrHucxb true
% Computer : n013.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 Aug 31 19:16:02 EDT 2023
% Result : Theorem 1.24s 0.84s
% Output : Refutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 41
% Syntax : Number of formulae : 73 ( 29 unt; 23 typ; 0 def)
% Number of atoms : 264 ( 43 equ; 0 cnn)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 1001 ( 28 ~; 27 |; 34 &; 859 @)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 23 usr; 10 con; 0-4 aty)
% ( 6 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 219 ( 128 ^; 80 !; 11 ?; 219 :)
% Comments :
%------------------------------------------------------------------------------
thf(setunion_type,type,
setunion: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(infuncsetfunc_type,type,
infuncsetfunc: $o ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(app_type,type,
app: $o ).
thf(ap_type,type,
ap: $i > $i > $i > $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(funcSet_type,type,
funcSet: $i > $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(func_type,type,
func: $i > $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i > $i > $i ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(infuncsetfunc,axiom,
( infuncsetfunc
= ( ! [A: $i,B: $i,Xf: $i] :
( ( in @ Xf @ ( funcSet @ A @ B ) )
=> ( func @ A @ B @ Xf ) ) ) ) ).
thf('0',plain,
( infuncsetfunc
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( funcSet @ X4 @ X6 ) )
=> ( func @ X4 @ X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(app,axiom,
( app
= ( ! [A: $i,B: $i,Xf: $i] :
( ( func @ A @ B @ Xf )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).
thf('1',plain,
( app
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( func @ X4 @ X6 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( in @ ( ap @ X4 @ X6 @ X8 @ X10 ) @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(ap,axiom,
( ap
= ( ^ [A: $i,B: $i,Xf: $i,Xx: $i] :
( setunion
@ ( dsetconstr @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ) ).
thf('2',plain,
( ap
= ( ^ [A: $i,B: $i,Xf: $i,Xx: $i] :
( setunion
@ ( dsetconstr @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ Xf ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ap]) ).
thf('3',plain,
( ap
= ( ^ [V_1: $i,V_2: $i,V_3: $i,V_4: $i] :
( setunion
@ ( dsetconstr @ V_2
@ ^ [V_5: $i] : ( in @ ( kpair @ V_4 @ V_5 ) @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf(funcSet,axiom,
( funcSet
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( powerset @ ( cartprod @ A @ B ) )
@ ^ [Xf: $i] : ( func @ A @ B @ Xf ) ) ) ) ).
thf(func,axiom,
( func
= ( ^ [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ex1 @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('4',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('5',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(ex1,axiom,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('6',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('7',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('8',plain,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ex1,'7']) ).
thf('9',plain,
( ex1
= ( ^ [V_1: $i,V_2: $i > $o] :
( singleton
@ ( dsetconstr @ V_1
@ ^ [V_3: $i] : ( V_2 @ V_3 ) ) ) ) ),
define([status(thm)]) ).
thf('10',plain,
( func
= ( ^ [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
& ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ex1 @ B
@ ^ [Xy: $i] : ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[func,'5','9','7']) ).
thf('11',plain,
( func
= ( ^ [V_1: $i,V_2: $i,V_3: $i] :
( ( breln @ V_1 @ V_2 @ V_3 )
& ! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( ex1 @ V_2
@ ^ [V_4: $i] : ( in @ ( kpair @ X4 @ V_4 ) @ V_3 ) ) ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( funcSet
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( powerset @ ( cartprod @ A @ B ) )
@ ^ [Xf: $i] : ( func @ A @ B @ Xf ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[funcSet,'11','9','7']) ).
thf('13',plain,
( funcSet
= ( ^ [V_1: $i,V_2: $i] :
( dsetconstr @ ( powerset @ ( cartprod @ V_1 @ V_2 ) )
@ ^ [V_3: $i] : ( func @ V_1 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(ap2p,conjecture,
( app
=> ( infuncsetfunc
=> ! [A: $i,B: $i,Xf: $i] :
( ( in @ Xf @ ( funcSet @ A @ B ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ ( ap @ A @ B @ Xf @ Xx ) @ B ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( ( subset @ X8 @ ( cartprod @ X4 @ X6 ) )
& ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ? [X12: $i] :
( ( ( dsetconstr @ X6
@ ^ [V_1: $i] : ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) )
= ( setadjoin @ X12 @ emptyset ) )
& ( in @ X12
@ ( dsetconstr @ X6
@ ^ [V_2: $i] : ( in @ ( kpair @ X10 @ V_2 ) @ X8 ) ) ) ) ) )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X6
@ ^ [V_3: $i] : ( in @ ( kpair @ X14 @ V_3 ) @ X8 ) ) )
@ X6 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20
@ ( dsetconstr @ ( powerset @ ( cartprod @ X16 @ X18 ) )
@ ^ [V_4: $i] :
( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ? [X24: $i] :
( ( in @ X24
@ ( dsetconstr @ X18
@ ^ [V_6: $i] : ( in @ ( kpair @ X22 @ V_6 ) @ V_4 ) ) )
& ( ( dsetconstr @ X18
@ ^ [V_5: $i] : ( in @ ( kpair @ X22 @ V_5 ) @ V_4 ) )
= ( setadjoin @ X24 @ emptyset ) ) ) )
& ( subset @ V_4 @ ( cartprod @ X16 @ X18 ) ) ) ) )
=> ( ( subset @ X20 @ ( cartprod @ X16 @ X18 ) )
& ! [X26: $i] :
( ( in @ X26 @ X16 )
=> ? [X28: $i] :
( ( ( dsetconstr @ X18
@ ^ [V_7: $i] : ( in @ ( kpair @ X26 @ V_7 ) @ X20 ) )
= ( setadjoin @ X28 @ emptyset ) )
& ( in @ X28
@ ( dsetconstr @ X18
@ ^ [V_8: $i] : ( in @ ( kpair @ X26 @ V_8 ) @ X20 ) ) ) ) ) ) )
=> ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34
@ ( dsetconstr @ ( powerset @ ( cartprod @ X30 @ X32 ) )
@ ^ [V_9: $i] :
( ! [X36: $i] :
( ( in @ X36 @ X30 )
=> ? [X38: $i] :
( ( in @ X38
@ ( dsetconstr @ X32
@ ^ [V_11: $i] : ( in @ ( kpair @ X36 @ V_11 ) @ V_9 ) ) )
& ( ( dsetconstr @ X32
@ ^ [V_10: $i] : ( in @ ( kpair @ X36 @ V_10 ) @ V_9 ) )
= ( setadjoin @ X38 @ emptyset ) ) ) )
& ( subset @ V_9 @ ( cartprod @ X30 @ X32 ) ) ) ) )
=> ! [X40: $i] :
( ( in @ X40 @ X30 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X32
@ ^ [V_12: $i] : ( in @ ( kpair @ X40 @ V_12 ) @ X34 ) ) )
@ X32 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( ( subset @ X8 @ ( cartprod @ X4 @ X6 ) )
& ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ? [X12: $i] :
( ( ( dsetconstr @ X6
@ ^ [V_1: $i] : ( in @ ( kpair @ X10 @ V_1 ) @ X8 ) )
= ( setadjoin @ X12 @ emptyset ) )
& ( in @ X12
@ ( dsetconstr @ X6
@ ^ [V_2: $i] : ( in @ ( kpair @ X10 @ V_2 ) @ X8 ) ) ) ) ) )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X6
@ ^ [V_3: $i] : ( in @ ( kpair @ X14 @ V_3 ) @ X8 ) ) )
@ X6 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20
@ ( dsetconstr @ ( powerset @ ( cartprod @ X16 @ X18 ) )
@ ^ [V_4: $i] :
( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ? [X24: $i] :
( ( in @ X24
@ ( dsetconstr @ X18
@ ^ [V_6: $i] : ( in @ ( kpair @ X22 @ V_6 ) @ V_4 ) ) )
& ( ( dsetconstr @ X18
@ ^ [V_5: $i] : ( in @ ( kpair @ X22 @ V_5 ) @ V_4 ) )
= ( setadjoin @ X24 @ emptyset ) ) ) )
& ( subset @ V_4 @ ( cartprod @ X16 @ X18 ) ) ) ) )
=> ( ( subset @ X20 @ ( cartprod @ X16 @ X18 ) )
& ! [X26: $i] :
( ( in @ X26 @ X16 )
=> ? [X28: $i] :
( ( ( dsetconstr @ X18
@ ^ [V_7: $i] : ( in @ ( kpair @ X26 @ V_7 ) @ X20 ) )
= ( setadjoin @ X28 @ emptyset ) )
& ( in @ X28
@ ( dsetconstr @ X18
@ ^ [V_8: $i] : ( in @ ( kpair @ X26 @ V_8 ) @ X20 ) ) ) ) ) ) )
=> ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34
@ ( dsetconstr @ ( powerset @ ( cartprod @ X30 @ X32 ) )
@ ^ [V_9: $i] :
( ! [X36: $i] :
( ( in @ X36 @ X30 )
=> ? [X38: $i] :
( ( in @ X38
@ ( dsetconstr @ X32
@ ^ [V_11: $i] : ( in @ ( kpair @ X36 @ V_11 ) @ V_9 ) ) )
& ( ( dsetconstr @ X32
@ ^ [V_10: $i] : ( in @ ( kpair @ X36 @ V_10 ) @ V_9 ) )
= ( setadjoin @ X38 @ emptyset ) ) ) )
& ( subset @ V_9 @ ( cartprod @ X30 @ X32 ) ) ) ) )
=> ! [X40: $i] :
( ( in @ X40 @ X30 )
=> ( in
@ ( setunion
@ ( dsetconstr @ X32
@ ^ [V_12: $i] : ( in @ ( kpair @ X40 @ V_12 ) @ X34 ) ) )
@ X32 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
in @ sk__13 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X5: $i,X6: $i,X7: $i] :
( ( subset @ X5 @ ( cartprod @ X6 @ X7 ) )
| ~ ( in @ X5
@ ( dsetconstr @ ( powerset @ ( cartprod @ X6 @ X7 ) )
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X6 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ X7
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) ) )
& ( ( dsetconstr @ X7
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) )
= ( setadjoin @ Y2 @ emptyset ) ) ) ) ) )
& ( subset @ Y0 @ ( cartprod @ X6 @ X7 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( in @ sk__12
@ ( dsetconstr @ ( powerset @ ( cartprod @ sk__10 @ sk__11 ) )
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__10 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ sk__11
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) ) )
& ( ( dsetconstr @ sk__11
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) )
= ( setadjoin @ Y2 @ emptyset ) ) ) ) ) )
& ( subset @ Y0 @ ( cartprod @ sk__10 @ sk__11 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in
@ ( setunion
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ X3 ) ) )
@ X2 )
| ( in @ ( sk__14 @ X3 @ X2 @ X1 ) @ X1 )
| ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( in @ ( sk__14 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10 )
| ( in
@ ( setunion
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ sk__12 ) ) )
@ sk__11 )
| ~ ( in @ X0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
( ( in
@ ( setunion
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ sk__13 @ Y0 ) @ sk__12 ) ) )
@ sk__11 )
| ( in @ ( sk__14 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).
thf(zip_derived_cl3,plain,
~ ( in
@ ( setunion
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ sk__13 @ Y0 ) @ sk__12 ) ) )
@ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
in @ ( sk__14 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10,
inference(clc,[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).
thf(zip_derived_cl4_001,plain,
( in @ sk__12
@ ( dsetconstr @ ( powerset @ ( cartprod @ sk__10 @ sk__11 ) )
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__10 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ sk__11
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) ) )
& ( ( dsetconstr @ sk__11
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) )
= ( setadjoin @ Y2 @ emptyset ) ) ) ) ) )
& ( subset @ Y0 @ ( cartprod @ sk__10 @ sk__11 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X8 @ X6 )
| ( in @ ( sk__9 @ X8 @ X5 @ X7 )
@ ( dsetconstr @ X7
@ ^ [Y0: $i] : ( in @ ( kpair @ X8 @ Y0 ) @ X5 ) ) )
| ~ ( in @ X5
@ ( dsetconstr @ ( powerset @ ( cartprod @ X6 @ X7 ) )
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X6 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ X7
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) ) )
& ( ( dsetconstr @ X7
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) )
= ( setadjoin @ Y2 @ emptyset ) ) ) ) ) )
& ( subset @ Y0 @ ( cartprod @ X6 @ X7 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( in @ ( sk__9 @ X0 @ sk__12 @ sk__11 )
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ sk__12 ) ) )
| ~ ( in @ X0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X0 @ X1 )
| ( in
@ ( setunion
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ X3 ) ) )
@ X2 )
| ~ ( in @ X4
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( in @ ( kpair @ ( sk__14 @ X3 @ X2 @ X1 ) @ Y0 ) @ X3 ) ) )
| ( ( dsetconstr @ X2
@ ^ [Y0: $i] : ( in @ ( kpair @ ( sk__14 @ X3 @ X2 @ X1 ) @ Y0 ) @ X3 ) )
!= ( setadjoin @ X4 @ emptyset ) )
| ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__14 @ sk__12 @ sk__11 @ X0 ) @ sk__10 )
| ~ ( subset @ sk__12 @ ( cartprod @ X0 @ sk__11 ) )
| ( ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ ( sk__14 @ sk__12 @ sk__11 @ X0 ) @ Y0 ) @ sk__12 ) )
!= ( setadjoin @ ( sk__9 @ ( sk__14 @ sk__12 @ sk__11 @ X0 ) @ sk__12 @ sk__11 ) @ emptyset ) )
| ( in
@ ( setunion
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ X1 @ Y0 ) @ sk__12 ) ) )
@ sk__11 )
| ~ ( in @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl0]) ).
thf(zip_derived_cl4_002,plain,
( in @ sk__12
@ ( dsetconstr @ ( powerset @ ( cartprod @ sk__10 @ sk__11 ) )
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__10 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ sk__11
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) ) )
& ( ( dsetconstr @ sk__11
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) )
= ( setadjoin @ Y2 @ emptyset ) ) ) ) ) )
& ( subset @ Y0 @ ( cartprod @ sk__10 @ sk__11 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( in @ X8 @ X6 )
| ( ( dsetconstr @ X7
@ ^ [Y0: $i] : ( in @ ( kpair @ X8 @ Y0 ) @ X5 ) )
= ( setadjoin @ ( sk__9 @ X8 @ X5 @ X7 ) @ emptyset ) )
| ~ ( in @ X5
@ ( dsetconstr @ ( powerset @ ( cartprod @ X6 @ X7 ) )
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X6 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ X7
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) ) )
& ( ( dsetconstr @ X7
@ ^ [Y3: $i] : ( in @ ( kpair @ Y1 @ Y3 ) @ Y0 ) )
= ( setadjoin @ Y2 @ emptyset ) ) ) ) ) )
& ( subset @ Y0 @ ( cartprod @ X6 @ X7 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ sk__12 ) )
= ( setadjoin @ ( sk__9 @ X0 @ sk__12 @ sk__11 ) @ emptyset ) )
| ~ ( in @ X0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ( in
@ ( setunion
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ X1 @ Y0 ) @ sk__12 ) ) )
@ sk__11 )
| ~ ( subset @ sk__12 @ ( cartprod @ X0 @ sk__11 ) )
| ~ ( in @ ( sk__14 @ sk__12 @ sk__11 @ X0 ) @ sk__10 ) ),
inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl28]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( in
@ ( setunion
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ sk__12 ) ) )
@ sk__11 )
| ~ ( in @ X0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl44]) ).
thf(zip_derived_cl9_003,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( in
@ ( setunion
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ X0 @ Y0 ) @ sk__12 ) ) )
@ sk__11 )
| ~ ( in @ X0 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl9]) ).
thf(zip_derived_cl3_004,plain,
~ ( in
@ ( setunion
@ ( dsetconstr @ sk__11
@ ^ [Y0: $i] : ( in @ ( kpair @ sk__13 @ Y0 ) @ sk__12 ) ) )
@ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl49,plain,
~ ( in @ sk__13 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl3]) ).
thf(zip_derived_cl2_005,plain,
in @ sk__13 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl52,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU676^2 : 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.qaLMrHucxb true
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 15:24:32 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/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
% 0.22/0.64 % Total configuration time : 828
% 0.22/0.64 % Estimated wc time : 1656
% 0.22/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.24/0.84 % Solved by lams/40_c.s.sh.
% 1.24/0.84 % done 16 iterations in 0.049s
% 1.24/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.24/0.84 % SZS output start Refutation
% See solution above
% 1.24/0.84
% 1.24/0.84
% 1.24/0.84 % Terminating...
% 1.24/0.88 % Runner terminated.
% 1.66/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------