TSTP Solution File: SET884+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET884+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.96xO5jrK50 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 16:16:40 EDT 2023
% Result : Theorem 0.50s 0.74s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 41 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 18 ~; 13 |; 4 &; 62 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl78]) ).
thf(t25_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( subset @ ( singleton @ A ) @ ( unordered_pair @ B @ C ) )
& ( A != B )
& ( A != C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( subset @ ( singleton @ A ) @ ( unordered_pair @ B @ C ) )
& ( A != B )
& ( A != C ) ),
inference('cnf.neg',[status(esa)],[t25_zfmisc_1]) ).
thf(zip_derived_cl18,plain,
subset @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__6 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ( in @ X0 @ ( unordered_pair @ sk__6 @ sk__7 ) )
| ~ ( in @ X0 @ ( singleton @ sk__5 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl12]) ).
thf(zip_derived_cl82,plain,
in @ sk__5 @ ( unordered_pair @ sk__6 @ sk__7 ),
inference('s_sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl75]) ).
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_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X1
!= ( unordered_pair @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( X0 = X2 )
| ~ ( in @ X0 @ ( unordered_pair @ X2 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl119,plain,
( ( sk__5 = sk__7 )
| ( sk__5 = sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl107]) ).
thf(zip_derived_cl20,plain,
sk__5 != sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
sk__5 != sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl119,zip_derived_cl20,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET884+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.96xO5jrK50 true
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:48:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.50/0.66 % Total configuration time : 435
% 0.50/0.66 % Estimated wc time : 1092
% 0.50/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.74 % Solved by fo/fo6_bce.sh.
% 0.50/0.74 % BCE start: 21
% 0.50/0.74 % BCE eliminated: 0
% 0.50/0.74 % PE start: 21
% 0.50/0.74 logic: eq
% 0.50/0.74 % PE eliminated: 3
% 0.50/0.74 % done 45 iterations in 0.021s
% 0.50/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.74 % SZS output start Refutation
% See solution above
% 0.50/0.74
% 0.50/0.74
% 0.50/0.74 % Terminating...
% 0.56/0.77 % Runner terminated.
% 0.56/0.78 % Zipperpin 1.5 exiting
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