TSTP Solution File: SET707+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET707+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UZYaAEzm6z true
% Computer : n024.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 16:15:41 EDT 2023
% Result : Theorem 1.38s 0.82s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 22 unt; 9 typ; 0 def)
% Number of atoms : 183 ( 122 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 538 ( 59 ~; 86 |; 3 &; 383 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 101 ( 0 ^; 101 !; 0 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(unordered_pair,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( unordered_pair @ A @ B ) )
<=> ( ( X = A )
| ( X = B ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(thI50,conjecture,
! [A: $i,B: $i,U: $i,V: $i] :
( ( equal_set @ ( unordered_pair @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) ) @ ( unordered_pair @ ( singleton @ U ) @ ( unordered_pair @ U @ V ) ) )
=> ( ( A = U )
& ( B = V ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,U: $i,V: $i] :
( ( equal_set @ ( unordered_pair @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) ) @ ( unordered_pair @ ( singleton @ U ) @ ( unordered_pair @ U @ V ) ) )
=> ( ( A = U )
& ( B = V ) ) ),
inference('cnf.neg',[status(esa)],[thI50]) ).
thf(zip_derived_cl29,plain,
equal_set @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(equal_set,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( equal_set @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(zip_derived_cl155,plain,
subset @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ) @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) )
| ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl155,zip_derived_cl0]) ).
thf(zip_derived_cl29_001,plain,
equal_set @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( equal_set @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(zip_derived_cl154,plain,
subset @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl3]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] :
( ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ) )
| ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl154,zip_derived_cl0]) ).
thf(zip_derived_cl20_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl319,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) )
| ( X0
= ( singleton @ sk__5 ) )
| ( X0
= ( unordered_pair @ sk__5 @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl20]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl330,plain,
! [X0: $i] :
( ( X0
= ( unordered_pair @ sk__5 @ sk__6 ) )
| ( X0
= ( singleton @ sk__5 ) )
| ( X0
!= ( singleton @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl319,zip_derived_cl21]) ).
thf(zip_derived_cl340,plain,
( ( ( singleton @ sk__3 )
= ( singleton @ sk__5 ) )
| ( ( singleton @ sk__3 )
= ( unordered_pair @ sk__5 @ sk__6 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl21_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl342,plain,
! [X0: $i] :
( ( member @ X0 @ ( singleton @ sk__3 ) )
| ( ( singleton @ sk__3 )
= ( singleton @ sk__5 ) )
| ( X0 != sk__5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl340,zip_derived_cl21]) ).
thf(singleton,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( singleton @ A ) )
<=> ( X = A ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl363,plain,
! [X0: $i] :
( ( X0 != sk__5 )
| ( ( singleton @ sk__3 )
= ( singleton @ sk__5 ) )
| ( X0 = sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl18]) ).
thf(zip_derived_cl368,plain,
( ( sk__5 = sk__3 )
| ( ( singleton @ sk__3 )
= ( singleton @ sk__5 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl363]) ).
thf(zip_derived_cl369,plain,
( ( singleton @ sk__3 )
= ( singleton @ sk__5 ) ),
inference(condensation,[status(thm)],[zip_derived_cl368]) ).
thf(zip_derived_cl18_005,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl375,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( singleton @ sk__3 ) )
| ( X0 = sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl18]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( singleton @ X1 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl380,plain,
! [X0: $i] :
( ( X0 = sk__5 )
| ( X0 != sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl375,zip_derived_cl19]) ).
thf(zip_derived_cl388,plain,
sk__3 = sk__5,
inference(eq_res,[status(thm)],[zip_derived_cl380]) ).
thf(zip_derived_cl388_006,plain,
sk__3 = sk__5,
inference(eq_res,[status(thm)],[zip_derived_cl380]) ).
thf(zip_derived_cl392,plain,
! [X0: $i] :
( ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) )
| ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl388,zip_derived_cl388]) ).
thf(zip_derived_cl319_007,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) )
| ( X0
= ( singleton @ sk__5 ) )
| ( X0
= ( unordered_pair @ sk__5 @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl331,plain,
! [X0: $i] :
( ( X0
= ( unordered_pair @ sk__5 @ sk__6 ) )
| ( X0
= ( singleton @ sk__5 ) )
| ( X0
!= ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl319,zip_derived_cl22]) ).
thf(zip_derived_cl369_008,plain,
( ( singleton @ sk__3 )
= ( singleton @ sk__5 ) ),
inference(condensation,[status(thm)],[zip_derived_cl368]) ).
thf(zip_derived_cl374,plain,
! [X0: $i] :
( ( X0
= ( unordered_pair @ sk__5 @ sk__6 ) )
| ( X0
= ( singleton @ sk__3 ) )
| ( X0
!= ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl369]) ).
thf(zip_derived_cl388_009,plain,
sk__3 = sk__5,
inference(eq_res,[status(thm)],[zip_derived_cl380]) ).
thf(zip_derived_cl404,plain,
! [X0: $i] :
( ( X0
= ( unordered_pair @ sk__3 @ sk__6 ) )
| ( X0
= ( singleton @ sk__3 ) )
| ( X0
!= ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl374,zip_derived_cl388]) ).
thf(zip_derived_cl405,plain,
( ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) )
| ( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__3 @ sk__6 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl20_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl406,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( unordered_pair @ sk__3 @ sk__4 ) )
| ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) )
| ( X0 = sk__3 )
| ( X0 = sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl20]) ).
thf(zip_derived_cl22_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl426,plain,
! [X0: $i] :
( ( X0 = sk__6 )
| ( X0 = sk__3 )
| ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) )
| ( X0 != sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl22]) ).
thf(zip_derived_cl435,plain,
( ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) )
| ( sk__4 = sk__3 )
| ( sk__4 = sk__6 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl426]) ).
thf(zip_derived_cl30,plain,
( ( sk__3 != sk__5 )
| ( sk__4 != sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl388_012,plain,
sk__3 = sk__5,
inference(eq_res,[status(thm)],[zip_derived_cl380]) ).
thf(zip_derived_cl389,plain,
( ( sk__3 != sk__3 )
| ( sk__4 != sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl388]) ).
thf(zip_derived_cl390,plain,
sk__4 != sk__6,
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl436,plain,
( ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) )
| ( sk__4 = sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl435,zip_derived_cl390]) ).
thf(zip_derived_cl22_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl439,plain,
! [X0: $i] :
( ( member @ X0 @ ( singleton @ sk__3 ) )
| ( sk__4 = sk__3 )
| ( X0 != sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl22]) ).
thf(zip_derived_cl18_014,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl455,plain,
! [X0: $i] :
( ( X0 != sk__4 )
| ( sk__4 = sk__3 )
| ( X0 = sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl18]) ).
thf(zip_derived_cl462,plain,
( ( sk__4 = sk__3 )
| ( sk__4 = sk__3 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl455]) ).
thf(zip_derived_cl463,plain,
sk__4 = sk__3,
inference(simplify,[status(thm)],[zip_derived_cl462]) ).
thf(zip_derived_cl465,plain,
! [X0: $i] :
( ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__3 ) ) )
| ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl463]) ).
thf(zip_derived_cl20_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl405_016,plain,
( ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) )
| ( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__3 @ sk__6 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl463_017,plain,
sk__4 = sk__3,
inference(simplify,[status(thm)],[zip_derived_cl462]) ).
thf(zip_derived_cl463_018,plain,
sk__4 = sk__3,
inference(simplify,[status(thm)],[zip_derived_cl462]) ).
thf(zip_derived_cl467,plain,
( ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) )
| ( ( unordered_pair @ sk__3 @ sk__3 )
= ( unordered_pair @ sk__3 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl405,zip_derived_cl463,zip_derived_cl463]) ).
thf(zip_derived_cl22_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl474,plain,
! [X0: $i] :
( ( member @ X0 @ ( unordered_pair @ sk__3 @ sk__3 ) )
| ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) )
| ( X0 != sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl22]) ).
thf(zip_derived_cl503,plain,
! [X0: $i] :
( ( X0 = sk__3 )
| ( X0 = sk__3 )
| ( X0 != sk__6 )
| ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl474]) ).
thf(zip_derived_cl506,plain,
! [X0: $i] :
( ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) )
| ( X0 != sk__6 )
| ( X0 = sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl503]) ).
thf(zip_derived_cl510,plain,
( ( sk__6 = sk__3 )
| ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl506]) ).
thf(zip_derived_cl390_020,plain,
sk__4 != sk__6,
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl463_021,plain,
sk__4 = sk__3,
inference(simplify,[status(thm)],[zip_derived_cl462]) ).
thf(zip_derived_cl464,plain,
sk__3 != sk__6,
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl463]) ).
thf(zip_derived_cl511,plain,
( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl510,zip_derived_cl464]) ).
thf(zip_derived_cl542,plain,
! [X0: $i] :
( ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( singleton @ sk__3 ) ) )
| ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl511]) ).
thf(zip_derived_cl22_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl544,plain,
! [X0: $i] :
( ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( singleton @ sk__3 ) ) )
| ( X0
!= ( unordered_pair @ sk__3 @ sk__6 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl542,zip_derived_cl22]) ).
thf(zip_derived_cl559,plain,
! [X0: $i] :
( ( X0
= ( singleton @ sk__3 ) )
| ( X0
= ( singleton @ sk__3 ) )
| ( X0
!= ( unordered_pair @ sk__3 @ sk__6 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl544]) ).
thf(zip_derived_cl562,plain,
! [X0: $i] :
( ( X0
!= ( unordered_pair @ sk__3 @ sk__6 ) )
| ( X0
= ( singleton @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl559]) ).
thf(zip_derived_cl564,plain,
( ( unordered_pair @ sk__3 @ sk__6 )
= ( singleton @ sk__3 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl562]) ).
thf(zip_derived_cl22_023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl572,plain,
! [X0: $i] :
( ( member @ X0 @ ( singleton @ sk__3 ) )
| ( X0 != sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl564,zip_derived_cl22]) ).
thf(zip_derived_cl18_024,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl608,plain,
! [X0: $i] :
( ( X0 != sk__6 )
| ( X0 = sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl572,zip_derived_cl18]) ).
thf(zip_derived_cl615,plain,
sk__6 = sk__3,
inference(eq_res,[status(thm)],[zip_derived_cl608]) ).
thf(zip_derived_cl464_025,plain,
sk__3 != sk__6,
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl463]) ).
thf(zip_derived_cl616,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl615,zip_derived_cl464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET707+4 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UZYaAEzm6z true
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat Aug 26 10:04:24 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.31 % Python version: Python 3.6.8
% 0.11/0.31 % Running in FO mode
% 0.17/0.56 % Total configuration time : 435
% 0.17/0.56 % Estimated wc time : 1092
% 0.17/0.56 % Estimated cpu time (7 cpus) : 156.0
% 1.09/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.82 % Solved by fo/fo3_bce.sh.
% 1.38/0.82 % BCE start: 31
% 1.38/0.82 % BCE eliminated: 0
% 1.38/0.82 % PE start: 31
% 1.38/0.82 logic: eq
% 1.38/0.82 % PE eliminated: 0
% 1.38/0.82 % done 129 iterations in 0.118s
% 1.38/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.82 % SZS output start Refutation
% See solution above
% 1.38/0.82
% 1.38/0.82
% 1.38/0.82 % Terminating...
% 1.41/0.88 % Runner terminated.
% 1.41/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------