%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET918+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pXcfgEq2P4 true
% Computer : n022.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 04:53:09 PM UTC 2025
% Result : Theorem 0.64s 0.85s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 30 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 142 ( 22 ~; 17 |; 5 &; 92 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(t59_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( ( set_intersection2 @ ( unordered_pair @ A @ B ) @ C )
= ( singleton @ A ) )
& ( in @ B @ C )
& ( A != B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( ( set_intersection2 @ ( unordered_pair @ A @ B ) @ C )
= ( singleton @ A ) )
& ( in @ B @ C )
& ( A != B ) ),
inference('cnf.neg',[status(esa)],[t59_zfmisc_1]) ).
thf(zip_derived_cl22,plain,
( ( set_intersection2 @ ( unordered_pair @ sk__5 @ sk__6 ) @ sk__7 )
= ( singleton @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl109,plain,
( ( set_intersection2 @ sk__7 @ ( unordered_pair @ sk__5 @ sk__6 ) )
= ( singleton @ sk__5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl2]) ).
thf(zip_derived_cl23,plain,
in @ sk__6 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( set_intersection2 @ sk__7 @ X1 ) )
| ( in @ sk__6 @ X0 )
| ~ ( in @ sk__6 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl13]) ).
thf(zip_derived_cl230,plain,
! [X0: $i] :
( ( X0
!= ( singleton @ sk__5 ) )
| ~ ( in @ sk__6 @ ( unordered_pair @ sk__5 @ sk__6 ) )
| ( in @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl214]) ).
thf(d2_tarski,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( unordered_pair @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( X0
!= ( singleton @ sk__5 ) )
| ( in @ sk__6 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl97]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ sk__5 ) )
| ( X0
!= ( singleton @ X1 ) )
| ( sk__6 = X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl4]) ).
thf(zip_derived_cl309,plain,
! [X0: $i] :
( ( sk__6 = X0 )
| ( ( singleton @ sk__5 )
!= ( singleton @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl235]) ).
thf(zip_derived_cl353,plain,
sk__6 = sk__5,
inference(eq_res,[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl24,plain,
sk__5 != sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl354,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl353,zip_derived_cl24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET918+1 : TPTP v9.2.0. Released v3.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pXcfgEq2P4 true
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 13:17:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.60/0.68 % Total configuration time : 435
% 0.60/0.68 % Estimated wc time : 1092
% 0.60/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.64/0.85 % Solved by fo/fo3_bce.sh.
% 0.64/0.85 % BCE start: 25
% 0.64/0.85 % BCE eliminated: 0
% 0.64/0.85 % PE start: 25
% 0.64/0.85 logic: eq
% 0.64/0.85 % PE eliminated: 1
% 0.64/0.85 % done 116 iterations in 0.054s
% 0.64/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.64/0.85 % SZS output start Refutation
% See solution above
% 0.64/0.85
% 0.64/0.85
% 0.64/0.85 % Terminating...
% 1.74/0.89 % Runner terminated.
% 1.74/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------