%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET018+4 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.75oLQ9hoxV 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 Oct 2 04:51:10 PM UTC 2025
% Result : Theorem 0.45s 1.02s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of formulae : 81 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 140 ( 69 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 509 ( 32 ~; 51 |; 1 &; 418 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 86 ( 0 ^; 86 !; 0 ?; 86 :)
% 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_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_cl178,plain,
! [X0: $i,X1: $i] : ( member @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(thI50b,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 ) ) )
=> ( 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 ) ) )
=> ( B = V ) ),
inference('cnf.neg',[status(esa)],[thI50b]) ).
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_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(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_cl166,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('s_sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl0]) ).
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_cl169,plain,
! [X0: $i,X1: $i] : ( member @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
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_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(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_cl170,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('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl0]) ).
thf(zip_derived_cl200,plain,
member @ ( singleton @ sk__5 ) @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl170]) ).
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(zip_derived_cl205,plain,
( ( ( singleton @ sk__5 )
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( ( singleton @ sk__5 )
= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl20]) ).
thf(zip_derived_cl169_003,plain,
! [X0: $i,X1: $i] : ( member @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl207,plain,
( ( ( singleton @ sk__5 )
= ( singleton @ sk__3 ) )
| ( member @ sk__3 @ ( singleton @ sk__5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl205,zip_derived_cl169]) ).
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_cl212,plain,
( ( singleton @ sk__5 )
= ( singleton @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl207,zip_derived_cl18]) ).
thf(zip_derived_cl215,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__5 @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl212]) ).
thf(zip_derived_cl212_004,plain,
( ( singleton @ sk__5 )
= ( singleton @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl207,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_cl167,plain,
! [X0: $i] : ( member @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl219,plain,
member @ sk__5 @ ( singleton @ sk__3 ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl167]) ).
thf(zip_derived_cl18_005,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl223,plain,
sk__5 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl18]) ).
thf(zip_derived_cl300,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_cl215,zip_derived_cl223]) ).
thf(zip_derived_cl20_006,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_cl302,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) )
| ( X0
= ( unordered_pair @ sk__3 @ sk__6 ) )
| ( X0
= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl20]) ).
thf(zip_derived_cl358,plain,
( ( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__3 @ sk__6 ) )
| ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl302]) ).
thf(zip_derived_cl178_007,plain,
! [X0: $i,X1: $i] : ( member @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl170_008,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('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl0]) ).
thf(zip_derived_cl212_009,plain,
( ( singleton @ sk__5 )
= ( singleton @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl207,zip_derived_cl18]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ) )
| ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl212]) ).
thf(zip_derived_cl223_010,plain,
sk__5 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl18]) ).
thf(zip_derived_cl315,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__6 ) ) )
| ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl223]) ).
thf(zip_derived_cl317,plain,
member @ ( unordered_pair @ sk__3 @ sk__6 ) @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl315]) ).
thf(zip_derived_cl20_011,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_cl355,plain,
( ( ( unordered_pair @ sk__3 @ sk__6 )
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( ( unordered_pair @ sk__3 @ sk__6 )
= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl20]) ).
thf(zip_derived_cl178_012,plain,
! [X0: $i,X1: $i] : ( member @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl365,plain,
( ( ( unordered_pair @ sk__3 @ sk__6 )
= ( singleton @ sk__3 ) )
| ( member @ sk__6 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl355,zip_derived_cl178]) ).
thf(zip_derived_cl20_013,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_cl448,plain,
( ( ( unordered_pair @ sk__3 @ sk__6 )
= ( singleton @ sk__3 ) )
| ( sk__6 = sk__4 )
| ( sk__6 = sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl20]) ).
thf(zip_derived_cl30,plain,
sk__4 != sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl449,plain,
( ( ( unordered_pair @ sk__3 @ sk__6 )
= ( singleton @ sk__3 ) )
| ( sk__6 = sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl448,zip_derived_cl30]) ).
thf(zip_derived_cl178_014,plain,
! [X0: $i,X1: $i] : ( member @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl458,plain,
( ( sk__6 = sk__3 )
| ( member @ sk__6 @ ( singleton @ sk__3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl449,zip_derived_cl178]) ).
thf(zip_derived_cl19_015,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( singleton @ X1 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl495,plain,
member @ sk__6 @ ( singleton @ sk__3 ),
inference(clc,[status(thm)],[zip_derived_cl458,zip_derived_cl19]) ).
thf(zip_derived_cl18_016,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl497,plain,
sk__6 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl18]) ).
thf(zip_derived_cl519,plain,
( ( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__3 @ sk__3 ) )
| ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl497]) ).
thf(zip_derived_cl355_017,plain,
( ( ( unordered_pair @ sk__3 @ sk__6 )
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( ( unordered_pair @ sk__3 @ sk__6 )
= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl20]) ).
thf(zip_derived_cl497_018,plain,
sk__6 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl18]) ).
thf(zip_derived_cl497_019,plain,
sk__6 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl18]) ).
thf(zip_derived_cl518,plain,
( ( ( unordered_pair @ sk__3 @ sk__3 )
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl355,zip_derived_cl497,zip_derived_cl497]) ).
thf(zip_derived_cl178_020,plain,
! [X0: $i,X1: $i] : ( member @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl529,plain,
( ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) )
| ( member @ sk__4 @ ( unordered_pair @ sk__3 @ sk__3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl178]) ).
thf(zip_derived_cl20_021,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_cl582,plain,
( ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) )
| ( sk__4 = sk__3 )
| ( sk__4 = sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl20]) ).
thf(zip_derived_cl583,plain,
( ( sk__4 = sk__3 )
| ( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl582]) ).
thf(zip_derived_cl30_022,plain,
sk__4 != sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl497_023,plain,
sk__6 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl18]) ).
thf(zip_derived_cl504,plain,
sk__4 != sk__3,
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl497]) ).
thf(zip_derived_cl584,plain,
( ( unordered_pair @ sk__3 @ sk__3 )
= ( singleton @ sk__3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl583,zip_derived_cl504]) ).
thf(zip_derived_cl595,plain,
( ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) )
| ( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl519,zip_derived_cl584]) ).
thf(zip_derived_cl596,plain,
( ( unordered_pair @ sk__3 @ sk__4 )
= ( singleton @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl595]) ).
thf(zip_derived_cl178_024,plain,
! [X0: $i,X1: $i] : ( member @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl606,plain,
member @ sk__4 @ ( singleton @ sk__3 ),
inference('s_sup+',[status(thm)],[zip_derived_cl596,zip_derived_cl178]) ).
thf(zip_derived_cl18_025,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl614,plain,
sk__4 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl18]) ).
thf(zip_derived_cl504_026,plain,
sk__4 != sk__3,
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl497]) ).
thf(zip_derived_cl615,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl614,zip_derived_cl504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET018+4 : TPTP v9.2.0. Released v2.2.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.75oLQ9hoxV true
% 0.09/0.32 % Computer : n024.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Wed Oct 1 13:16:38 EDT 2025
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Running portfolio for 300 s
% 0.09/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.32 % Number of cores: 8
% 0.09/0.32 % Python version: Python 3.6.8
% 0.09/0.33 % Running in FO mode
% 0.43/0.66 % Total configuration time : 435
% 0.43/0.66 % Estimated wc time : 1092
% 0.43/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.93 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.94 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.45/1.02 % Solved by fo/fo6_bce.sh.
% 0.45/1.02 % BCE start: 31
% 0.45/1.02 % BCE eliminated: 0
% 0.45/1.02 % PE start: 31
% 0.45/1.02 logic: eq
% 0.45/1.02 % PE eliminated: 2
% 0.45/1.02 % done 150 iterations in 0.202s
% 0.45/1.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.45/1.02 % SZS output start Refutation
% See solution above
% 0.45/1.02
% 0.45/1.02
% 0.45/1.02 % Terminating...
% 2.10/1.24 % Runner terminated.
% 2.10/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------