%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET886+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9pMZ8kITRl true
% Computer : n004.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 04:53:05 PM UTC 2025
% Result : Theorem 0.48s 0.70s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 30 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 110 ( 15 ~; 11 |; 0 &; 81 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(t27_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( subset @ ( unordered_pair @ A @ B ) @ ( singleton @ C ) )
=> ( ( unordered_pair @ A @ B )
= ( singleton @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( subset @ ( unordered_pair @ A @ B ) @ ( singleton @ C ) )
=> ( ( unordered_pair @ A @ B )
= ( singleton @ C ) ) ),
inference('cnf.neg',[status(esa)],[t27_zfmisc_1]) ).
thf(zip_derived_cl6,plain,
( ( unordered_pair @ sk__2 @ sk__3 )
!= ( singleton @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
subset @ ( unordered_pair @ sk__2 @ sk__3 ) @ ( singleton @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t26_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ ( unordered_pair @ A @ B ) @ ( singleton @ C ) )
=> ( A = C ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( subset @ ( unordered_pair @ X1 @ X2 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[t26_zfmisc_1]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ X0 @ X2 ) )
| ( ( singleton @ sk__4 )
!= ( singleton @ X1 ) )
| ( X0 = X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( sk__2 = X0 )
| ( ( singleton @ sk__4 )
!= ( singleton @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl37,plain,
sk__2 = sk__4,
inference(eq_res,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl38,plain,
( ( unordered_pair @ sk__2 @ sk__3 )
!= ( singleton @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl37]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl26_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ X0 @ X2 ) )
| ( ( singleton @ sk__4 )
!= ( singleton @ X1 ) )
| ( X0 = X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl37_002,plain,
sk__2 = sk__4,
inference(eq_res,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ X0 @ X2 ) )
| ( ( singleton @ sk__2 )
!= ( singleton @ X1 ) )
| ( X0 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl37]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ X1 @ X0 ) )
| ( X0 = X2 )
| ( ( singleton @ sk__2 )
!= ( singleton @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl39]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ( ( singleton @ sk__2 )
!= ( singleton @ X0 ) )
| ( sk__3 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl61,plain,
sk__3 = sk__2,
inference(eq_res,[status(thm)],[zip_derived_cl60]) ).
thf(t69_enumset1,axiom,
! [A: $i] :
( ( unordered_pair @ A @ A )
= ( singleton @ A ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( unordered_pair @ X0 @ X0 )
= ( singleton @ X0 ) ),
inference(cnf,[status(esa)],[t69_enumset1]) ).
thf(zip_derived_cl62,plain,
( ( singleton @ sk__2 )
!= ( singleton @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl61,zip_derived_cl7]) ).
thf(zip_derived_cl63,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET886+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9pMZ8kITRl true
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 13:15:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.43/0.58 % Total configuration time : 435
% 0.43/0.58 % Estimated wc time : 1092
% 0.43/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.70 % Solved by fo/fo3_bce.sh.
% 0.48/0.70 % BCE start: 8
% 0.48/0.70 % BCE eliminated: 0
% 0.48/0.70 % PE start: 8
% 0.48/0.70 logic: eq
% 0.48/0.70 % PE eliminated: 2
% 0.48/0.70 % done 23 iterations in 0.014s
% 0.48/0.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.70 % SZS output start Refutation
% See solution above
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70 % Terminating...
% 0.55/0.80 % Runner terminated.
% 0.55/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------