TSTP Solution File: SYO852^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO852^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xuD9O9TFGs true
% Computer : n031.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 05:52:59 EDT 2023
% Result : Theorem 10.99s 2.05s
% Output : Refutation 10.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 39 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 59 ( 21 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 401 ( 15 ~; 7 |; 0 &; 355 @)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 783 ( 783 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 4 con; 0-2 aty)
% ( 0 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 359 ( 252 ^; 106 !; 1 ?; 359 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Power_type,type,
c_Power: $i > $i ).
thf(c_Subq_type,type,
c_Subq: $i > $i > $o ).
thf(c_iff_type,type,
c_iff: $o > $o > $o ).
thf(c_Empty_type,type,
c_Empty: $i ).
thf(c_In_type,type,
c_In: $i > $i > $o ).
thf(c_Inj1_type,type,
c_Inj1: $i > $i ).
thf(c_setsum_type,type,
c_setsum: $i > $i > $i ).
thf(c_Inj0_type,type,
c_Inj0: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(c_not_type,type,
c_not: $o > $o ).
thf(c_False_type,type,
c_False: $o ).
thf(sk__67_type,type,
sk__67: ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i ).
thf(ax17,axiom,
! [X0: $i,X1: $i] :
( ( c_Subq @ X0 @ X1 )
<=> ! [X2: $i] :
( ( c_In @ X2 @ X0 )
=> ( c_In @ X2 @ X1 ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( c_Subq @ X0 @ X1 )
| ( c_In @ ( sk__10 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(ax7,axiom,
! [X0: $i,X1: $i] : ( c_iff @ ( c_In @ X1 @ ( c_Power @ X0 ) ) @ ( c_Subq @ X1 @ X0 ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] : ( c_iff @ ( c_In @ X0 @ ( c_Power @ X1 ) ) @ ( c_Subq @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(conj,conjecture,
! [X0: ( ( $i > $i > $i > $i ) > $i ) > ( ( ( ( $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > $i,X1: ( ( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i ) > $i ) > $i > $i,X2: ( ( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i ) > $i ) > ( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ) > $i,X3: ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i] :
( ! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X3
@ ^ [X8: $i] : c_Empty
@ ^ [X8: $i,X9: $i,X10: $i > $i] : c_Empty )
= X6 )
=> ( ! [X4: ( $i > $i > $i > $i ) > $i > $i,X5: $i,X6: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > $i,X7: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i] :
( ( X3
@ ^ [X8: $i] : c_Empty
@ ^ [X8: $i,X9: $i,X10: $i > $i] :
( X1
@ ^ [X11: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_Inj0
@ ( X11
@ ^ [X12: ( $i > $i ) > $i > $i,X13: $i] :
( X11
@ ^ [X14: ( $i > $i ) > $i > $i,X15: $i] : c_Empty ) ) )
@ X9 ) )
= ( X1
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( X2
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X9: $i,X10: $i > $i,X11: $i > $i,X12: $i] : ( X10 @ ( X10 @ X9 ) ) )
@ ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) )
=> ( ! [X4: ( ( ( $i > $i ) > $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i,X5: $i,X6: $i > $i,X7: ( $i > $i ) > $i > $i] :
( ( X2
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X8: $i,X9: $i > $i,X10: $i > $i,X11: $i] :
( X0
@ ^ [X12: $i > $i > $i > $i] : c_Empty
@ ^ [X12: ( ( $i > $i ) > $i > $i ) > $i,X13: $i > $i > $i] :
( X2
@ ^ [X14: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X14: $i,X15: $i > $i,X16: $i > $i,X17: $i] :
( c_setsum
@ ( X0
@ ^ [X18: $i > $i > $i > $i] : c_Empty
@ ^ [X18: ( ( $i > $i ) > $i > $i ) > $i,X19: $i > $i > $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
= ( X0
@ ^ [X8: $i > $i > $i > $i] :
( X3
@ ^ [X9: $i] : c_Empty
@ ^ [X9: $i,X10: $i,X11: $i > $i] : c_Empty )
@ ^ [X8: ( ( $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( X1
@ ^ [X10: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
=> ( ! [X4: $i > $i > ( $i > $i ) > $i,X5: $i,X6: ( ( $i > $i > $i ) > $i > $i > $i ) > $i > $i,X7: ( ( $i > $i > $i ) > $i ) > $i] :
( ( X2
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : ( c_Inj0 @ c_Empty )
@ ^ [X8: $i,X9: $i > $i,X10: $i > $i,X11: $i] : c_Empty )
= ( c_setsum @ c_Empty
@ ( X4
@ ( c_setsum
@ ( X4 @ ( c_setsum @ c_Empty @ c_Empty )
@ ( X1
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty )
@ ^ [X8: $i] : c_Empty )
@ ( X3
@ ^ [X8: $i] : c_Empty
@ ^ [X8: $i,X9: $i,X10: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( X2
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X0
@ ^ [X9: $i > $i > $i > $i] :
( X7
@ ^ [X10: $i > $i > $i] : c_Empty )
@ ^ [X9: ( ( $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] :
( X7
@ ^ [X11: $i > $i > $i] : c_Empty ) )
@ ^ [X8: $i,X9: $i > $i,X10: $i > $i,X11: $i] : c_Empty )
@ ^ [X8: $i] :
( X1
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( X2
@ ^ [X10: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X10: $i,X11: $i > $i,X12: $i > $i,X13: $i] : c_Empty )
@ ( c_setsum @ c_Empty
@ ( X1
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) ) ) ) )
=> ( ! [X4: $i,X5: $i,X6: $i > $i,X7: $i] :
( ( X1
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_setsum
@ ( X0
@ ^ [X9: $i > $i > $i > $i] : ( X9 @ c_Empty @ X7 @ c_Empty )
@ ^ [X9: ( ( $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] :
( X3
@ ^ [X11: $i] :
( X9
@ ^ [X12: $i > $i,X13: $i] : c_Empty )
@ ^ [X11: $i,X12: $i,X13: $i > $i] : c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ c_Empty )
= ( c_Inj1 @ X4 ) )
=> ( ! [X4: ( ( ( $i > $i ) > $i > $i ) > $i ) > $i,X5: $i,X6: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i,X7: $i > $i > ( $i > $i ) > $i > $i] :
( ( X1
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : X5
@ ( c_Inj1 @ c_Empty ) )
= ( c_Inj0
@ ( X3
@ ^ [X8: $i] :
( X7
@ ( X2
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X6
@ ^ [X10: $i > $i,X11: $i > $i] : c_Empty
@ ^ [X10: $i] : c_Empty )
@ ^ [X9: $i,X10: $i > $i,X11: $i > $i,X12: $i] : ( c_setsum @ c_Empty @ c_Empty ) )
@ ( c_Inj1 @ c_Empty )
@ ^ [X9: $i] :
( X2
@ ^ [X10: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : X9
@ ^ [X10: $i,X11: $i > $i,X12: $i > $i,X13: $i] : ( X11 @ c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ ^ [X8: $i,X9: $i,X10: $i > $i] : X8 ) ) )
=> ( ! [X4: $i,X5: $i,X6: $i,X7: ( $i > ( $i > $i ) > $i > $i ) > $i > $i] :
( ( X0
@ ^ [X8: $i > $i > $i > $i] : X6
@ ^ [X8: ( ( $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( X3
@ ^ [X10: $i] :
( c_Inj0
@ ( c_setsum @ X10
@ ( X7
@ ^ [X11: $i,X12: $i > $i,X13: $i] : c_Empty
@ c_Empty ) ) )
@ ^ [X10: $i,X11: $i,X12: $i > $i] : ( c_setsum @ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( c_Inj0 @ ( X12 @ c_Empty ) ) ) ) )
= X6 )
=> ( ! [X4: $i,X5: ( ( $i > $i ) > $i ) > ( $i > $i > $i ) > $i,X6: $i,X7: $i > ( ( $i > $i ) > $i ) > $i] :
( ( X0
@ ^ [X8: $i > $i > $i > $i] :
( c_setsum
@ ( c_Inj1
@ ( c_setsum @ c_Empty
@ ( X1
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
@ ( c_Inj1 @ c_Empty ) )
@ ^ [X8: ( ( $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( c_setsum @ X6
@ ( c_Inj0
@ ( X9
@ ( X2
@ ^ [X10: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X10: $i,X11: $i > $i,X12: $i > $i,X13: $i] : c_Empty )
@ ( X9 @ c_Empty @ c_Empty ) ) ) ) )
= ( X7 @ c_Empty
@ ^ [X8: $i > $i] : ( X8 @ c_Empty ) ) )
=> c_False ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X0: ( ( $i > $i > $i > $i ) > $i ) > ( ( ( ( $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > $i,X1: ( ( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i ) > $i ) > $i > $i,X2: ( ( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i ) > $i ) > ( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ) > $i,X3: ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i] :
( ! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X3
@ ^ [X8: $i] : c_Empty
@ ^ [X8: $i,X9: $i,X10: $i > $i] : c_Empty )
= X6 )
=> ( ! [X4: ( $i > $i > $i > $i ) > $i > $i,X5: $i,X6: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > $i,X7: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i] :
( ( X3
@ ^ [X8: $i] : c_Empty
@ ^ [X8: $i,X9: $i,X10: $i > $i] :
( X1
@ ^ [X11: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_Inj0
@ ( X11
@ ^ [X12: ( $i > $i ) > $i > $i,X13: $i] :
( X11
@ ^ [X14: ( $i > $i ) > $i > $i,X15: $i] : c_Empty ) ) )
@ X9 ) )
= ( X1
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( X2
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X9: $i,X10: $i > $i,X11: $i > $i,X12: $i] : ( X10 @ ( X10 @ X9 ) ) )
@ ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) )
=> ( ! [X4: ( ( ( $i > $i ) > $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i,X5: $i,X6: $i > $i,X7: ( $i > $i ) > $i > $i] :
( ( X2
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X8: $i,X9: $i > $i,X10: $i > $i,X11: $i] :
( X0
@ ^ [X12: $i > $i > $i > $i] : c_Empty
@ ^ [X12: ( ( $i > $i ) > $i > $i ) > $i,X13: $i > $i > $i] :
( X2
@ ^ [X14: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X14: $i,X15: $i > $i,X16: $i > $i,X17: $i] :
( c_setsum
@ ( X0
@ ^ [X18: $i > $i > $i > $i] : c_Empty
@ ^ [X18: ( ( $i > $i ) > $i > $i ) > $i,X19: $i > $i > $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
= ( X0
@ ^ [X8: $i > $i > $i > $i] :
( X3
@ ^ [X9: $i] : c_Empty
@ ^ [X9: $i,X10: $i,X11: $i > $i] : c_Empty )
@ ^ [X8: ( ( $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( X1
@ ^ [X10: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
=> ( ! [X4: $i > $i > ( $i > $i ) > $i,X5: $i,X6: ( ( $i > $i > $i ) > $i > $i > $i ) > $i > $i,X7: ( ( $i > $i > $i ) > $i ) > $i] :
( ( X2
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : ( c_Inj0 @ c_Empty )
@ ^ [X8: $i,X9: $i > $i,X10: $i > $i,X11: $i] : c_Empty )
= ( c_setsum @ c_Empty
@ ( X4
@ ( c_setsum
@ ( X4 @ ( c_setsum @ c_Empty @ c_Empty )
@ ( X1
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty )
@ ^ [X8: $i] : c_Empty )
@ ( X3
@ ^ [X8: $i] : c_Empty
@ ^ [X8: $i,X9: $i,X10: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( X2
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X0
@ ^ [X9: $i > $i > $i > $i] :
( X7
@ ^ [X10: $i > $i > $i] : c_Empty )
@ ^ [X9: ( ( $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] :
( X7
@ ^ [X11: $i > $i > $i] : c_Empty ) )
@ ^ [X8: $i,X9: $i > $i,X10: $i > $i,X11: $i] : c_Empty )
@ ^ [X8: $i] :
( X1
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( X2
@ ^ [X10: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X10: $i,X11: $i > $i,X12: $i > $i,X13: $i] : c_Empty )
@ ( c_setsum @ c_Empty
@ ( X1
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) ) ) ) )
=> ( ! [X4: $i,X5: $i,X6: $i > $i,X7: $i] :
( ( X1
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_setsum
@ ( X0
@ ^ [X9: $i > $i > $i > $i] : ( X9 @ c_Empty @ X7 @ c_Empty )
@ ^ [X9: ( ( $i > $i ) > $i > $i ) > $i,X10: $i > $i > $i] :
( X3
@ ^ [X11: $i] :
( X9
@ ^ [X12: $i > $i,X13: $i] : c_Empty )
@ ^ [X11: $i,X12: $i,X13: $i > $i] : c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ c_Empty )
= ( c_Inj1 @ X4 ) )
=> ( ! [X4: ( ( ( $i > $i ) > $i > $i ) > $i ) > $i,X5: $i,X6: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i,X7: $i > $i > ( $i > $i ) > $i > $i] :
( ( X1
@ ^ [X8: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : X5
@ ( c_Inj1 @ c_Empty ) )
= ( c_Inj0
@ ( X3
@ ^ [X8: $i] :
( X7
@ ( X2
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X6
@ ^ [X10: $i > $i,X11: $i > $i] : c_Empty
@ ^ [X10: $i] : c_Empty )
@ ^ [X9: $i,X10: $i > $i,X11: $i > $i,X12: $i] : ( c_setsum @ c_Empty @ c_Empty ) )
@ ( c_Inj1 @ c_Empty )
@ ^ [X9: $i] :
( X2
@ ^ [X10: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : X9
@ ^ [X10: $i,X11: $i > $i,X12: $i > $i,X13: $i] : ( X11 @ c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ ^ [X8: $i,X9: $i,X10: $i > $i] : X8 ) ) )
=> ( ! [X4: $i,X5: $i,X6: $i,X7: ( $i > ( $i > $i ) > $i > $i ) > $i > $i] :
( ( X0
@ ^ [X8: $i > $i > $i > $i] : X6
@ ^ [X8: ( ( $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( X3
@ ^ [X10: $i] :
( c_Inj0
@ ( c_setsum @ X10
@ ( X7
@ ^ [X11: $i,X12: $i > $i,X13: $i] : c_Empty
@ c_Empty ) ) )
@ ^ [X10: $i,X11: $i,X12: $i > $i] : ( c_setsum @ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( c_Inj0 @ ( X12 @ c_Empty ) ) ) ) )
= X6 )
=> ( ! [X4: $i,X5: ( ( $i > $i ) > $i ) > ( $i > $i > $i ) > $i,X6: $i,X7: $i > ( ( $i > $i ) > $i ) > $i] :
( ( X0
@ ^ [X8: $i > $i > $i > $i] :
( c_setsum
@ ( c_Inj1
@ ( c_setsum @ c_Empty
@ ( X1
@ ^ [X9: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
@ ( c_Inj1 @ c_Empty ) )
@ ^ [X8: ( ( $i > $i ) > $i > $i ) > $i,X9: $i > $i > $i] :
( c_setsum @ X6
@ ( c_Inj0
@ ( X9
@ ( X2
@ ^ [X10: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X10: $i,X11: $i > $i,X12: $i > $i,X13: $i] : c_Empty )
@ ( X9 @ c_Empty @ c_Empty ) ) ) ) )
= ( X7 @ c_Empty
@ ^ [X8: $i > $i] : ( X8 @ c_Empty ) ) )
=> c_False ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj]) ).
thf(zip_derived_cl226,plain,
! [X9: $i] :
( ( sk__67
@ ^ [Y0: $i] : c_Empty
@ ^ [Y0: $i,Y1: $i,Y2: $i > $i] : c_Empty )
= X9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl226_001,plain,
! [X9: $i] :
( ( sk__67
@ ^ [Y0: $i] : c_Empty
@ ^ [Y0: $i,Y1: $i,Y2: $i > $i] : c_Empty )
= X9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl293,plain,
! [X0: $i,X1: $i] : ( X0 = X1 ),
inference('sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl226]) ).
thf(zip_derived_cl293_002,plain,
! [X0: $i,X1: $i] : ( X0 = X1 ),
inference('sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl226]) ).
thf(ax5,axiom,
( c_not
@ ? [X0: $i] : ( c_In @ X0 @ c_Empty ) ) ).
thf(zip_derived_cl5,plain,
( c_not
@ ( ??
@ ^ [Y0: $i] : ( c_In @ Y0 @ c_Empty ) ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax13,axiom,
! [X0: $o] :
( ( c_not @ X0 )
<=> ( X0
=> c_False ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $o] :
( ~ X0
| c_False
| ~ ( c_not @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl227,plain,
~ c_False,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
! [X0: $o] :
( ~ ( c_not @ X0 )
| ~ X0 ),
inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl227]) ).
thf(zip_derived_cl304,plain,
~ ( ??
@ ^ [Y0: $i] : ( c_In @ Y0 @ c_Empty ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl231]) ).
thf(zip_derived_cl309,plain,
! [X0: $i] :
~ ( c_In @ X0 @ c_Empty ),
inference(cnf_otf,[status(thm)],[zip_derived_cl304]) ).
thf(zip_derived_cl310,plain,
! [X0: $i,X1: $i] :
~ ( c_In @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl309]) ).
thf(zip_derived_cl343,plain,
! [X0: $i,X1: $i] : ( c_iff @ $false @ ( c_Subq @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl293,zip_derived_cl310]) ).
thf(ax3,axiom,
! [X0: $o,X1: $o] :
( ( c_iff @ X0 @ X1 )
=> ( X0
<=> X1 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $o,X1: $o] :
( ~ X0
| X1
| ~ ( c_iff @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl247,plain,
! [X0: $o] :
( ~ X0
| ~ ( c_iff @ $false @ X0 ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl344,plain,
! [X0: $i,X1: $i] :
~ ( c_Subq @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl247]) ).
thf(zip_derived_cl293_003,plain,
! [X0: $i,X1: $i] : ( X0 = X1 ),
inference('sup+',[status(thm)],[zip_derived_cl226,zip_derived_cl226]) ).
thf(zip_derived_cl310_004,plain,
! [X0: $i,X1: $i] :
~ ( c_In @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl309]) ).
thf(zip_derived_cl3343,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl344,zip_derived_cl293,zip_derived_cl310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO852^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xuD9O9TFGs true
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 04:14:37 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.63/0.85 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 2.57/0.98 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 10.99/2.05 % Solved by lams/40_noforms.sh.
% 10.99/2.05 % done 247 iterations in 1.258s
% 10.99/2.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.99/2.05 % SZS output start Refutation
% See solution above
% 10.99/2.05
% 10.99/2.05
% 10.99/2.05 % Terminating...
% 11.53/2.17 % Runner terminated.
% 11.53/2.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------