TSTP Solution File: SYN415+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MiKQ9TCCJN 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 : Fri Sep 1 04:03:20 EDT 2023
% Result : Theorem 0.93s 0.78s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 120 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 330 ( 94 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 659 ( 169 ~; 204 |; 7 &; 270 @)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 138 ( 0 ^; 132 !; 6 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(f_type,type,
f: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(kalish317,conjecture,
( ( ! [Y: $i,Z: $i] :
( ( ( f @ Z )
& ( f @ Y ) )
=> ( Y = Z ) )
& ? [X: $i] : ( f @ X ) )
<=> ? [U: $i] :
( ( f @ U )
& ! [V: $i] :
( ( f @ V )
=> ( U = V ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_1,axiom,
! [U: $i] :
( ( zip_tseitin_1 @ U )
<=> ( ! [V: $i] :
( ( f @ V )
=> ( U = V ) )
& ( f @ U ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Z: $i,Y: $i] :
( ( zip_tseitin_0 @ Z @ Y )
<=> ( ( ( f @ Y )
& ( f @ Z ) )
=> ( Y = Z ) ) ) ).
thf(zf_stmt_4,conjecture,
( ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] : ( zip_tseitin_0 @ Z @ Y ) )
<=> ? [U: $i] : ( zip_tseitin_1 @ U ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ( ( ? [X: $i] : ( f @ X )
& ! [Y: $i,Z: $i] : ( zip_tseitin_0 @ Z @ Y ) )
<=> ? [U: $i] : ( zip_tseitin_1 @ U ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl8,plain,
( ( zip_tseitin_1 @ sk__3 )
| ( f @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( f @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl81,plain,
( ( f @ sk__4 )
| ( f @ sk__3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl8_001,plain,
( ( zip_tseitin_1 @ sk__3 )
| ( f @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( f @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_1 @ X2 )
| ~ ( zip_tseitin_0 @ sk__2 @ sk__1 )
| ~ ( f @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__2 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ( f @ sk__4 )
| ~ ( f @ X0 )
| ( f @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl68]) ).
thf(zip_derived_cl94,plain,
( ( f @ sk__3 )
| ( f @ sk__2 )
| ( f @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl83]) ).
thf(zip_derived_cl83_002,plain,
! [X0: $i] :
( ( f @ sk__4 )
| ~ ( f @ X0 )
| ( f @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl68]) ).
thf(zip_derived_cl193,plain,
( ( f @ sk__4 )
| ( f @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl83]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( f @ X0 )
| ( f @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl68_003,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__2 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ( f @ ( sk_ @ X0 ) )
| ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( f @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl68]) ).
thf(zip_derived_cl174,plain,
! [X0: $i] :
( ( f @ ( sk_ @ X0 ) )
| ( f @ sk__2 )
| ~ ( f @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl193_004,plain,
( ( f @ sk__4 )
| ( f @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl83]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ sk__3 )
| ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( X0 = X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ sk__3 )
| ( X0 = X1 )
| ~ ( f @ X1 )
| ~ ( f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl68_005,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__2 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( X0 = X1 )
| ~ ( f @ X2 )
| ( f @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl68]) ).
thf(zip_derived_cl240,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__2 )
| ~ ( f @ X0 )
| ( X1 = X0 )
| ~ ( f @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl244,plain,
! [X0: $i] :
( ( f @ sk__2 )
| ~ ( f @ X0 )
| ( X0 = sk__4 )
| ( f @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl240]) ).
thf(zip_derived_cl249,plain,
! [X0: $i] :
( ( X0 = sk__4 )
| ~ ( f @ X0 )
| ( f @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl250,plain,
! [X0: $i] :
( ~ ( f @ X0 )
| ( f @ sk__2 )
| ( f @ sk__2 )
| ( ( sk_ @ X0 )
= sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl249]) ).
thf(zip_derived_cl256,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
= sk__4 )
| ( f @ sk__2 )
| ~ ( f @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( f @ X0 )
| ( X0
!= ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl68_006,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__2 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk_ @ X0 ) )
| ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( f @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl68]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] :
( ( X0
!= ( sk_ @ X0 ) )
| ( f @ sk__2 )
| ~ ( f @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl259,plain,
! [X0: $i] :
( ( X0 != sk__4 )
| ~ ( f @ X0 )
| ( f @ sk__2 )
| ~ ( f @ X0 )
| ( f @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl256,zip_derived_cl109]) ).
thf(zip_derived_cl263,plain,
! [X0: $i] :
( ( f @ sk__2 )
| ~ ( f @ X0 )
| ( X0 != sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl270,plain,
( ( f @ sk__2 )
| ( sk__4 != sk__4 )
| ( f @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl263]) ).
thf(zip_derived_cl275,plain,
f @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl66_007,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ sk__3 )
| ( X0 = X1 )
| ~ ( f @ X1 )
| ~ ( f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( f @ X0 )
| ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( X0 = X1 )
| ( sk__3 = X2 )
| ~ ( f @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl4]) ).
thf(zip_derived_cl232,plain,
! [X0: $i,X1: $i] :
( ~ ( f @ X0 )
| ( sk__3 = X0 )
| ( X0 = X1 )
| ~ ( f @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl281,plain,
! [X0: $i] :
( ~ ( f @ X0 )
| ( sk__2 = X0 )
| ( sk__3 = sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl232]) ).
thf(zip_derived_cl275_008,plain,
f @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl6_009,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( f @ X0 )
| ( f @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( f @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl10_010,plain,
! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_1 @ X2 )
| ~ ( zip_tseitin_0 @ sk__2 @ sk__1 )
| ~ ( f @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__1 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ( f @ ( sk_ @ X0 ) )
| ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( f @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl69]) ).
thf(zip_derived_cl211,plain,
! [X0: $i] :
( ( f @ ( sk_ @ X0 ) )
| ( f @ sk__1 )
| ~ ( f @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl275_011,plain,
f @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl66_012,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ sk__3 )
| ( X0 = X1 )
| ~ ( f @ X1 )
| ~ ( f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl69_013,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__1 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( X0 = X1 )
| ~ ( f @ X2 )
| ( f @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl69]) ).
thf(zip_derived_cl316,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__1 )
| ~ ( f @ X0 )
| ( X1 = X0 )
| ~ ( f @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl318,plain,
! [X0: $i] :
( ~ ( f @ X0 )
| ( X0 = sk__2 )
| ( f @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl316]) ).
thf(zip_derived_cl341,plain,
! [X0: $i] :
( ~ ( f @ X0 )
| ( f @ sk__1 )
| ( f @ sk__1 )
| ( ( sk_ @ X0 )
= sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl211,zip_derived_cl318]) ).
thf(zip_derived_cl348,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
= sk__2 )
| ( f @ sk__1 )
| ~ ( f @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl341]) ).
thf(zip_derived_cl7_014,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( f @ X0 )
| ( X0
!= ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl69_015,plain,
! [X0: $i,X1: $i] :
( ( f @ sk__1 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk_ @ X0 ) )
| ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( f @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl69]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( X0
!= ( sk_ @ X0 ) )
| ( f @ sk__1 )
| ~ ( f @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl419,plain,
! [X0: $i] :
( ( X0 != sk__2 )
| ~ ( f @ X0 )
| ( f @ sk__1 )
| ~ ( f @ X0 )
| ( f @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl110]) ).
thf(zip_derived_cl425,plain,
! [X0: $i] :
( ( f @ sk__1 )
| ~ ( f @ X0 )
| ( X0 != sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl419]) ).
thf(zip_derived_cl434,plain,
( ( sk__2 != sk__2 )
| ( f @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl425]) ).
thf(zip_derived_cl442,plain,
f @ sk__1,
inference(simplify,[status(thm)],[zip_derived_cl434]) ).
thf(zip_derived_cl455,plain,
( ( sk__3 = sk__2 )
| ( sk__2 = sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl281,zip_derived_cl442]) ).
thf(zip_derived_cl81_016,plain,
( ( f @ sk__4 )
| ( f @ sk__3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl8_017,plain,
( ( zip_tseitin_1 @ sk__3 )
| ( f @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl10_018,plain,
! [X2: $i,X3: $i] :
( ~ ( zip_tseitin_1 @ X2 )
| ~ ( zip_tseitin_0 @ sk__2 @ sk__1 )
| ~ ( f @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( sk__1 != sk__2 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( f @ sk__4 )
| ~ ( f @ X0 )
| ( sk__1 != sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl67]) ).
thf(zip_derived_cl90,plain,
( ( f @ sk__3 )
| ( sk__1 != sk__2 )
| ( f @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl82]) ).
thf(zip_derived_cl82_019,plain,
! [X0: $i] :
( ( f @ sk__4 )
| ~ ( f @ X0 )
| ( sk__1 != sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl67]) ).
thf(zip_derived_cl100,plain,
( ( f @ sk__4 )
| ( sk__1 != sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl82]) ).
thf(zip_derived_cl6_020,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( f @ X0 )
| ( f @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl67_021,plain,
! [X0: $i,X1: $i] :
( ( sk__1 != sk__2 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( f @ ( sk_ @ X0 ) )
| ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( sk__1 != sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl67]) ).
thf(zip_derived_cl123,plain,
! [X0: $i] :
( ( f @ ( sk_ @ X0 ) )
| ( sk__1 != sk__2 )
| ~ ( f @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl100_022,plain,
( ( f @ sk__4 )
| ( sk__1 != sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl82]) ).
thf(zip_derived_cl66_023,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ sk__3 )
| ( X0 = X1 )
| ~ ( f @ X1 )
| ~ ( f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl67_024,plain,
! [X0: $i,X1: $i] :
( ( sk__1 != sk__2 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( X0 = X1 )
| ~ ( f @ X2 )
| ( sk__1 != sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl67]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
( ( sk__1 != sk__2 )
| ~ ( f @ X0 )
| ( X1 = X0 )
| ~ ( f @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl137,plain,
! [X0: $i] :
( ( sk__1 != sk__2 )
| ~ ( f @ X0 )
| ( X0 = sk__4 )
| ( sk__1 != sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl134]) ).
thf(zip_derived_cl140,plain,
! [X0: $i] :
( ( X0 = sk__4 )
| ~ ( f @ X0 )
| ( sk__1 != sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ~ ( f @ X0 )
| ( sk__1 != sk__2 )
| ( sk__1 != sk__2 )
| ( ( sk_ @ X0 )
= sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl140]) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
= sk__4 )
| ( sk__1 != sk__2 )
| ~ ( f @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl7_025,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( f @ X0 )
| ( X0
!= ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl67_026,plain,
! [X0: $i,X1: $i] :
( ( sk__1 != sk__2 )
| ~ ( f @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk_ @ X0 ) )
| ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( sk__1 != sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl67]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( X0
!= ( sk_ @ X0 ) )
| ( sk__1 != sk__2 )
| ~ ( f @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ( X0 != sk__4 )
| ~ ( f @ X0 )
| ( sk__1 != sk__2 )
| ~ ( f @ X0 )
| ( sk__1 != sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl106]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ( sk__1 != sk__2 )
| ~ ( f @ X0 )
| ( X0 != sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl165,plain,
( ( sk__1 != sk__2 )
| ( sk__4 != sk__4 )
| ( sk__1 != sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl155]) ).
thf(zip_derived_cl168,plain,
sk__1 != sk__2,
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl457,plain,
sk__3 = sk__2,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl455,zip_derived_cl168]) ).
thf(zip_derived_cl275_027,plain,
f @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl270]) ).
thf(zip_derived_cl85_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( f @ X0 )
| ~ ( f @ X1 )
| ( X0 = X1 )
| ( sk__3 = X2 )
| ~ ( f @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl4]) ).
thf(zip_derived_cl278,plain,
! [X0: $i,X1: $i] :
( ~ ( f @ X0 )
| ( sk__3 = X0 )
| ( sk__2 = X1 )
| ~ ( f @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl85]) ).
thf(zip_derived_cl387,plain,
! [X0: $i] :
( ~ ( f @ X0 )
| ( sk__2 = X0 )
| ( sk__3 = X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl278]) ).
thf(zip_derived_cl442_029,plain,
f @ sk__1,
inference(simplify,[status(thm)],[zip_derived_cl434]) ).
thf(zip_derived_cl456,plain,
( ( sk__3 = sk__1 )
| ( sk__2 = sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl387,zip_derived_cl442]) ).
thf(zip_derived_cl168_030,plain,
sk__1 != sk__2,
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl458,plain,
sk__3 = sk__1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl456,zip_derived_cl168]) ).
thf(zip_derived_cl476,plain,
sk__1 = sk__2,
inference(demod,[status(thm)],[zip_derived_cl457,zip_derived_cl458]) ).
thf(zip_derived_cl168_031,plain,
sk__1 != sk__2,
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl477,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl476,zip_derived_cl168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MiKQ9TCCJN 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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 20:53:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.93/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.93/0.78 % Solved by fo/fo3_bce.sh.
% 0.93/0.78 % BCE start: 11
% 0.93/0.78 % BCE eliminated: 0
% 0.93/0.78 % PE start: 11
% 0.93/0.78 logic: eq
% 0.93/0.78 % PE eliminated: -7
% 0.93/0.78 % done 103 iterations in 0.039s
% 0.93/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.93/0.78 % SZS output start Refutation
% See solution above
% 0.93/0.79
% 0.93/0.79
% 1.31/0.79 % Terminating...
% 1.31/0.86 % Runner terminated.
% 1.72/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------