TSTP Solution File: GRA028^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRA028^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TO6LBuMShl true
% Computer : n003.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 00:10:15 EDT 2023
% Result : Theorem 47.59s 6.81s
% Output : Refutation 47.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 2
% Syntax : Number of formulae : 62 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 390 ( 155 equ; 0 cnn)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 906 ( 92 ~; 335 |; 38 &; 437 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 12 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 203 ( 203 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 364 ( 174 ^; 170 !; 20 ?; 364 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: ( $o > $o ) > ( $o > $o ) > $o ).
thf(ramsey_u_2_4_4,conjecture,
! [G: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [Xx: $o > $o,Xy: $o > $o] :
( ( G @ Xx @ Xy )
=> ( G @ Xy @ Xx ) )
=> ( ? [Xx0: $o > $o,Xx1: $o > $o,Xp0: ( $o > $o ) > $o] :
( ( G @ Xx1 @ Xx0 )
& ~ ( Xp0 @ Xx1 )
& ( Xp0 @ Xx0 ) )
| ? [Xx0: $o > $o,Xx1: $o > $o,Xx2: $o > $o,Xx3: $o > $o,Xp0: ( $o > $o ) > $o,Xp1: ( $o > $o ) > $o,Xp2: ( $o > $o ) > $o] :
( ~ ( G @ Xx3 @ Xx2 )
& ~ ( G @ Xx3 @ Xx1 )
& ~ ( G @ Xx3 @ Xx0 )
& ~ ( G @ Xx2 @ Xx1 )
& ~ ( G @ Xx2 @ Xx0 )
& ~ ( G @ Xx1 @ Xx0 )
& ~ ( Xp2 @ Xx3 )
& ( Xp2 @ Xx2 )
& ~ ( Xp2 @ Xx1 )
& ~ ( Xp2 @ Xx0 )
& ~ ( Xp1 @ Xx3 )
& ~ ( Xp1 @ Xx2 )
& ( Xp1 @ Xx1 )
& ~ ( Xp1 @ Xx0 )
& ~ ( Xp0 @ Xx3 )
& ~ ( Xp0 @ Xx2 )
& ~ ( Xp0 @ Xx1 )
& ( Xp0 @ Xx0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [G: ( $o > $o ) > ( $o > $o ) > $o] :
( ! [Xx: $o > $o,Xy: $o > $o] :
( ( G @ Xx @ Xy )
=> ( G @ Xy @ Xx ) )
=> ( ? [Xx0: $o > $o,Xx1: $o > $o,Xp0: ( $o > $o ) > $o] :
( ( G @ Xx1 @ Xx0 )
& ~ ( Xp0 @ Xx1 )
& ( Xp0 @ Xx0 ) )
| ? [Xx0: $o > $o,Xx1: $o > $o,Xx2: $o > $o,Xx3: $o > $o,Xp0: ( $o > $o ) > $o,Xp1: ( $o > $o ) > $o,Xp2: ( $o > $o ) > $o] :
( ~ ( G @ Xx3 @ Xx2 )
& ~ ( G @ Xx3 @ Xx1 )
& ~ ( G @ Xx3 @ Xx0 )
& ~ ( G @ Xx2 @ Xx1 )
& ~ ( G @ Xx2 @ Xx0 )
& ~ ( G @ Xx1 @ Xx0 )
& ~ ( Xp2 @ Xx3 )
& ( Xp2 @ Xx2 )
& ~ ( Xp2 @ Xx1 )
& ~ ( Xp2 @ Xx0 )
& ~ ( Xp1 @ Xx3 )
& ~ ( Xp1 @ Xx2 )
& ( Xp1 @ Xx1 )
& ~ ( Xp1 @ Xx0 )
& ~ ( Xp0 @ Xx3 )
& ~ ( Xp0 @ Xx2 )
& ~ ( Xp0 @ Xx1 )
& ( Xp0 @ Xx0 ) ) ) ),
inference('cnf.neg',[status(esa)],[ramsey_u_2_4_4]) ).
thf(zip_derived_cl1,plain,
! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ~ ( sk_ @ X2 @ X3 )
| ~ ( X4 @ X3 )
| ( X4 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
! [X0: $o > $o,X1: $o > $o] :
( ~ ( sk_ @ X1 @ X0 )
| ( ^ [Y0: $o > $o] : ( Y0 = X0 )
@ X1 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl25,plain,
! [X0: $o > $o,X1: $o > $o] :
( ~ ( sk_ @ X1 @ X0 )
| ( X1 = X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl26,plain,
! [X0: $o > $o,X1: $o > $o] :
( ~ ( sk_ @ X1 @ X0 )
| ( X1 = X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl1_001,plain,
! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ~ ( sk_ @ X2 @ X3 )
| ~ ( X4 @ X3 )
| ( X4 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o] :
( ( ^ [Y0: $o > $o] : ( Y0 @ ( X0 @ Y0 ) )
@ X1 )
| ~ ( ^ [Y0: $o > $o] : ( Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: $o] : $true )
| ~ ( sk_ @ X1
@ ^ [Y0: $o] : $true ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl50,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o] :
( ( X1 @ ( X0 @ X1 ) )
| ~ ( sk_ @ X1
@ ^ [Y0: $o] : $true ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl51,plain,
! [X0: $o,X1: $o > $o] :
( ( X1
@ ( ^ [Y0: $o > $o] : X0
@ X1 ) )
| ~ ( sk_ @ X1
@ ^ [Y0: $o] : $true ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl52,plain,
! [X0: $o,X1: $o > $o] :
( ( X1 @ X0 )
| ~ ( sk_ @ X1
@ ^ [Y0: $o] : $true ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl26_002,plain,
! [X0: $o > $o,X1: $o > $o] :
( ~ ( sk_ @ X1 @ X0 )
| ( X1 = X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_003,plain,
! [X0: $o > $o,X1: $o > $o] :
( ~ ( sk_ @ X1 @ X0 )
| ( X1 = X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl2,plain,
! [X5: $o > $o,X6: $o > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o,X10: ( $o > $o ) > $o,X11: ( $o > $o ) > $o] :
( ( sk_ @ X5 @ X6 )
| ( sk_ @ X5 @ X7 )
| ( sk_ @ X5 @ X8 )
| ( sk_ @ X6 @ X7 )
| ( sk_ @ X6 @ X8 )
| ( sk_ @ X7 @ X8 )
| ( X9 @ X5 )
| ( X9 @ X6 )
| ~ ( X9 @ X7 )
| ( X9 @ X8 )
| ( X10 @ X5 )
| ( X10 @ X6 )
| ( X10 @ X7 )
| ~ ( X10 @ X8 )
| ( X11 @ X8 )
| ( X11 @ X7 )
| ~ ( X11 @ X6 )
| ( X11 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl156,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( X0 @ X1 )
| ~ ( X0 @ X2 )
| ( X0 @ X3 )
| ( X0 @ X4 )
| ~ ( X5 @ X4 )
| ( X5 @ X3 )
| ( X5 @ X2 )
| ( X5 @ X1 )
| ( sk_ @ X3 @ X4 )
| ( sk_ @ X2 @ X4 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X4 )
| ( sk_ @ X1 @ X3 )
| ( sk_ @ X1 @ X2 )
| ( ^ [Y0: $o > $o] : ( Y0 = X3 )
@ X4 )
| ( ^ [Y0: $o > $o] : ( Y0 = X3 )
@ X2 )
| ( ^ [Y0: $o > $o] : ( Y0 = X3 )
@ X1 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl574,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( X0 @ X1 )
| ~ ( X0 @ X2 )
| ( X0 @ X3 )
| ( X0 @ X4 )
| ~ ( X5 @ X4 )
| ( X5 @ X3 )
| ( X5 @ X2 )
| ( X5 @ X1 )
| ( sk_ @ X3 @ X4 )
| ( sk_ @ X2 @ X4 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X4 )
| ( sk_ @ X1 @ X3 )
| ( sk_ @ X1 @ X2 )
| ( X4 = X3 )
| ( X2 = X3 )
| ( X1 = X3 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl156]) ).
thf(zip_derived_cl575,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
( ( X0 @ X1 )
| ~ ( X0 @ X2 )
| ( X0 @ X3 )
| ( X0 @ X4 )
| ~ ( X5 @ X4 )
| ( X5 @ X3 )
| ( X5 @ X2 )
| ( X5 @ X1 )
| ( sk_ @ X3 @ X4 )
| ( sk_ @ X2 @ X4 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X4 )
| ( sk_ @ X1 @ X3 )
| ( sk_ @ X1 @ X2 )
| ( X4 = X3 )
| ( X2 = X3 )
| ( X1 = X3 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl574]) ).
thf(zip_derived_cl1220,plain,
! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ( X0 = X1 )
| ( X2 = X1 )
| ( X3 = X1 )
| ( sk_ @ X0 @ X2 )
| ( sk_ @ X0 @ X1 )
| ( sk_ @ X0 @ X3 )
| ( sk_ @ X2 @ X1 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X3 )
| ( X4 @ X0 )
| ( X4 @ X2 )
| ( X4 @ X1 )
| ~ ( X4 @ X3 )
| ( ^ [Y0: $o > $o] : ( Y0 = X2 )
@ X3 )
| ( ^ [Y0: $o > $o] : ( Y0 = X2 )
@ X1 )
| ( ^ [Y0: $o > $o] : ( Y0 = X2 )
@ X0 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl575]) ).
thf(zip_derived_cl1414,plain,
! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ( X0 = X1 )
| ( X2 = X1 )
| ( X3 = X1 )
| ( sk_ @ X0 @ X2 )
| ( sk_ @ X0 @ X1 )
| ( sk_ @ X0 @ X3 )
| ( sk_ @ X2 @ X1 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X3 )
| ( X4 @ X0 )
| ( X4 @ X2 )
| ( X4 @ X1 )
| ~ ( X4 @ X3 )
| ( X3 = X2 )
| ( X1 = X2 )
| ( X0 = X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1220]) ).
thf(zip_derived_cl1415,plain,
! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ( X0 = X1 )
| ( X2 = X1 )
| ( X3 = X1 )
| ( sk_ @ X0 @ X2 )
| ( sk_ @ X0 @ X1 )
| ( sk_ @ X0 @ X3 )
| ( sk_ @ X2 @ X1 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X3 )
| ( X4 @ X0 )
| ( X4 @ X2 )
| ( X4 @ X1 )
| ~ ( X4 @ X3 )
| ( X3 = X2 )
| ( X1 = X2 )
| ( X0 = X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1414]) ).
thf(zip_derived_cl1416,plain,
! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ( X0 = X2 )
| ( X3 = X2 )
| ~ ( X4 @ X3 )
| ( X4 @ X1 )
| ( X4 @ X2 )
| ( X4 @ X0 )
| ( sk_ @ X1 @ X3 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X2 @ X1 )
| ( sk_ @ X0 @ X3 )
| ( sk_ @ X0 @ X1 )
| ( sk_ @ X0 @ X2 )
| ( X3 = X1 )
| ( X2 = X1 )
| ( X0 = X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1415]) ).
thf(zip_derived_cl1887,plain,
! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o] :
( ( X0 = X1 )
| ( X2 = X1 )
| ( X3 = X1 )
| ( sk_ @ X0 @ X2 )
| ( sk_ @ X0 @ X1 )
| ( sk_ @ X0 @ X3 )
| ( sk_ @ X2 @ X1 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X3 )
| ( X3 = X2 )
| ( X0 = X2 )
| ( ^ [Y0: $o > $o] : ( Y0 = X3 )
@ X0 )
| ( ^ [Y0: $o > $o] : ( Y0 = X3 )
@ X2 )
| ( ^ [Y0: $o > $o] : ( Y0 = X3 )
@ X1 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl1416]) ).
thf(zip_derived_cl1912,plain,
! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o] :
( ( X0 = X1 )
| ( X2 = X1 )
| ( X3 = X1 )
| ( sk_ @ X0 @ X2 )
| ( sk_ @ X0 @ X1 )
| ( sk_ @ X0 @ X3 )
| ( sk_ @ X2 @ X1 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X3 )
| ( X3 = X2 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X2 = X3 )
| ( X1 = X3 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1887]) ).
thf(zip_derived_cl1913,plain,
! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o] :
( ( X0 = X1 )
| ( X2 = X1 )
| ( X3 = X1 )
| ( sk_ @ X0 @ X2 )
| ( sk_ @ X0 @ X1 )
| ( sk_ @ X0 @ X3 )
| ( sk_ @ X2 @ X1 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X1 @ X3 )
| ( X3 = X2 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X2 = X3 )
| ( X1 = X3 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1912]) ).
thf(zip_derived_cl1914,plain,
! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o] :
( ( X0 = X3 )
| ( X0 = X2 )
| ( X3 = X2 )
| ( sk_ @ X1 @ X3 )
| ( sk_ @ X2 @ X3 )
| ( sk_ @ X2 @ X1 )
| ( sk_ @ X0 @ X3 )
| ( sk_ @ X0 @ X1 )
| ( sk_ @ X0 @ X2 )
| ( X3 = X1 )
| ( X2 = X1 )
| ( X0 = X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1913]) ).
thf(zip_derived_cl1_004,plain,
! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ~ ( sk_ @ X2 @ X3 )
| ~ ( X4 @ X3 )
| ( X4 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X3: $o > $o,X6: $o] :
( ~ ( X3 @ X6 )
| ( X3 @ ( $$choice @ X3 ) ) ),
inference('inst_choice((X3))',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl71,plain,
( ( ^ [Y0: $o] : Y0
@ ( $$choice
@ ^ [Y0: $o] : Y0 ) )
| ~ ( ^ [Y0: $o] : Y0
@ $true ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl74,plain,
( $$choice
@ ^ [Y0: $o] : Y0 ),
inference(ho_norm,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl1_005,plain,
! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
( ~ ( sk_ @ X2 @ X3 )
| ~ ( X4 @ X3 )
| ( X4 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o] :
( ~ ( ^ [Y0: $o > $o] : ( Y0 @ ( X0 @ Y0 ) )
@ X1 )
| ( ^ [Y0: $o > $o] : ( Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: $o] : $false )
| ~ ( sk_
@ ^ [Y0: $o] : $false
@ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl53,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o] :
( ~ ( X1 @ ( X0 @ X1 ) )
| ~ ( sk_
@ ^ [Y0: $o] : $false
@ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl54,plain,
! [X0: $o,X1: $o > $o] :
( ~ ( X1
@ ( ^ [Y0: $o > $o] : X0
@ X1 ) )
| ~ ( sk_
@ ^ [Y0: $o] : $false
@ X1 ) ),
inference(prune_arg_fun,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl55,plain,
! [X0: $o,X1: $o > $o] :
( ~ ( X1 @ X0 )
| ~ ( sk_
@ ^ [Y0: $o] : $false
@ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl105,plain,
~ ( sk_
@ ^ [Y0: $o] : $false
@ ^ [Y0: $o] : Y0 ),
inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl55]) ).
thf(zip_derived_cl3654,plain,
! [X0: $o > $o,X1: $o > $o] :
( ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ( X1 = X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X1 )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X0 )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X1 )
| ( sk_ @ X0 @ X1 )
| ( X1
= ( ^ [Y0: $o] : Y0 ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( ( ^ [Y0: $o] : $false )
= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1914,zip_derived_cl105]) ).
thf(zip_derived_cl4094,plain,
! [X0: $o > $o,X1: $o > $o] :
( ( X1 = X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( X0
= ( ^ [Y0: $o] : Y0 ) )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X0 )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X1 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X1 )
| ( X0 = X1 )
| ( ( ^ [Y0: $o] : Y0 )
= X1 )
| ( ( ^ [Y0: $o] : $false )
= X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl3654]) ).
thf(zip_derived_cl4137,plain,
! [X0: $o > $o,X1: $o > $o] :
( ( ( ^ [Y0: $o] : $false )
= X1 )
| ( ( ^ [Y0: $o] : Y0 )
= X1 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X1 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X1 )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X0 )
| ( X0
= ( ^ [Y0: $o] : Y0 ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( X1 = X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4094]) ).
thf(zip_derived_cl4425,plain,
! [X0: $o > $o,X1: $o > $o] :
( ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ( X1 = X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( X0
= ( ^ [Y0: $o] : Y0 ) )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X1 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X1 )
| ( ( ^ [Y0: $o] : Y0 )
= X1 )
| ( ( ^ [Y0: $o] : $false )
= X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl4137]) ).
thf(zip_derived_cl4470,plain,
! [X0: $o > $o,X1: $o > $o] :
( ( ( ^ [Y0: $o] : $false )
= X1 )
| ( ( ^ [Y0: $o] : Y0 )
= X1 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X1 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X1 )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( X1 = X0 )
| ( ( ^ [Y0: $o] : Y0 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4425]) ).
thf(zip_derived_cl5494,plain,
! [X0: $o > $o,X1: $o] :
( ( ^ [Y0: $o] : $false
@ X1 )
| ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : $true ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl4470]) ).
thf(zip_derived_cl5563,plain,
! [X0: $o > $o] :
( ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : $true ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( sk_
@ ^ [Y0: $o] : Y0
@ X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl5494]) ).
thf(zip_derived_cl5862,plain,
! [X0: $o > $o] :
( ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : $true ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl5563]) ).
thf(zip_derived_cl5879,plain,
! [X0: $o > $o] :
( ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : $true ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : Y0 ) )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( ^ [Y0: $o] : Y0 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5862]) ).
thf(zip_derived_cl6498,plain,
! [X0: $o > $o,X1: $o] :
( ( ( ^ [Y0: $o] : $false
@ X1 )
= ( ^ [Y0: $o] : Y0
@ X1 ) )
| ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : $true ) ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl5879]) ).
thf(zip_derived_cl6512,plain,
! [X0: $o > $o,X1: $o] :
( ~ X1
| ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : Y0 )
= ( ^ [Y0: $o] : $true ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6498]) ).
thf(zip_derived_cl6837,plain,
! [X0: $o > $o,X1: $o,X2: $o] :
( ( ( ^ [Y0: $o] : Y0
@ X2 )
= ( ^ [Y0: $o] : $true
@ X2 ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ~ X1 ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl6512]) ).
thf(zip_derived_cl6848,plain,
! [X0: $o > $o,X1: $o,X2: $o] :
( X2
| ( X0
= ( ^ [Y0: $o] : $true ) )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( ( ^ [Y0: $o] : Y0 )
= X0 )
| ~ X1 ),
inference(ho_norm,[status(thm)],[zip_derived_cl6837]) ).
thf(zip_derived_cl7079,plain,
! [X0: $o > $o,X1: $o,X2: $o,X3: $o] :
( ( ( ^ [Y0: $o] : Y0
@ X3 )
= ( X0 @ X3 ) )
| ~ X1
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| X2 ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl6848]) ).
thf(zip_derived_cl7093,plain,
! [X0: $o > $o,X1: $o,X2: $o,X3: $o] :
( ( X3
= ( X0 @ X3 ) )
| ~ X1
| ( ( ^ [Y0: $o] : $false )
= X0 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ( ( ^ [Y0: $o] : $false )
= ( ^ [Y0: $o] : $true ) )
| ( X0
= ( ^ [Y0: $o] : $true ) )
| X2 ),
inference(ho_norm,[status(thm)],[zip_derived_cl7079]) ).
thf(zip_derived_cl7206,plain,
! [X0: $o,X1: $o > $o,X2: $o,X3: $o,X4: $o,X5: $o] :
( X0
| ( X1 @ X2 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X1 )
| ~ ( X1 @ X3 )
| ~ X4
| X5
| ~ ( X1 @ X5 ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl7093]) ).
thf(zip_derived_cl7208,plain,
! [X0: $o > $o,X1: $o,X2: $o,X3: $o,X4: $o] :
( ~ ( X0 @ X1 )
| ( X0 @ X2 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X0 )
| ~ ( X0 @ X3 )
| ~ X4
| X1 ),
inference(condensation,[status(thm)],[zip_derived_cl7206]) ).
thf(zip_derived_cl7209,plain,
! [X0: $o,X1: $o > $o,X2: $o,X3: $o] :
( X0
| ( X1 @ X2 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X1 )
| ~ ( X1 @ X0 )
| ~ X3 ),
inference(condensation,[status(thm)],[zip_derived_cl7208]) ).
thf(zip_derived_cl7210,plain,
! [X0: $o,X1: $o > $o,X2: $o] :
( X0
| ( X1 @ X2 )
| ( sk_
@ ^ [Y0: $o] : $false
@ X1 )
| ~ ( X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl7209]) ).
thf(zip_derived_cl55_006,plain,
! [X0: $o,X1: $o > $o] :
( ~ ( X1 @ X0 )
| ~ ( sk_
@ ^ [Y0: $o] : $false
@ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl7211,plain,
! [X0: $o,X1: $o > $o,X2: $o] :
( ~ ( X1 @ X0 )
| ( X1 @ X2 )
| X0 ),
inference(clc,[status(thm)],[zip_derived_cl7210,zip_derived_cl55]) ).
thf(zip_derived_cl7386,plain,
! [X0: $o,X1: $o] :
( X0
| ( ^ [Y0: $o] : ( Y0 = X0 )
@ X1 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl7211]) ).
thf(zip_derived_cl7422,plain,
! [X0: $o,X1: $o] :
( X0
| ( X1 = X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7386]) ).
thf(zip_derived_cl7423,plain,
! [X0: $o,X1: $o] :
( X0
| ( X1 = X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7422]) ).
thf(zip_derived_cl7718,plain,
! [X0: $o] : X0,
inference(condensation,[status(thm)],[zip_derived_cl7423]) ).
thf(zip_derived_cl7719,plain,
$false,
inference(flex_resolve,[status(thm)],[zip_derived_cl7718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA028^1 : TPTP v8.1.2. Released v3.6.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TO6LBuMShl true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 03:36:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 47.59/6.81 % Solved by lams/40_c_ic.sh.
% 47.59/6.81 % done 504 iterations in 6.053s
% 47.59/6.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 47.59/6.81 % SZS output start Refutation
% See solution above
% 47.59/6.81
% 47.59/6.81
% 47.59/6.81 % Terminating...
% 48.04/6.89 % Runner terminated.
% 48.04/6.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------