TSTP Solution File: SEU186+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uZY3vDZtEG true
% Computer : n016.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 19:11:05 EDT 2023
% Result : Theorem 0.21s 0.80s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 40 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 46 ( 16 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 149 ( 17 ~; 10 |; 1 &; 114 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 41 !; 1 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( unordered_pair @ X0 @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(t56_relat_1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( ! [B: $i,C: $i] :
~ ( in @ ( ordered_pair @ B @ C ) @ A )
=> ( A = empty_set ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ( ! [B: $i,C: $i] :
~ ( in @ ( ordered_pair @ B @ C ) @ A )
=> ( A = empty_set ) ) ),
inference('cnf.neg',[status(esa)],[t56_relat_1]) ).
thf(zip_derived_cl27,plain,
relation @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
<=> ! [B: $i] :
~ ( ( in @ B @ A )
& ! [C: $i,D: $i] :
( B
!= ( ordered_pair @ C @ D ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) )
| ~ ( in @ X0 @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_relat_1]) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__8 )
| ( X0
= ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl3]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ( X0
= ( unordered_pair @ ( singleton @ ( sk__1 @ X0 ) ) @ ( unordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) ) )
| ~ ( in @ X0 @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl132,zip_derived_cl113]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl132_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl134,plain,
! [X0: $i,X1: $i] :
~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl132]) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__8 )
| ~ ( in @ X0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl134]) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
~ ( in @ X0 @ sk__8 ),
inference(simplify,[status(thm)],[zip_derived_cl170]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] : ( element @ ( sk__3 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl26]) ).
thf(zip_derived_cl177,plain,
empty @ sk__8,
inference('sup+',[status(thm)],[zip_derived_cl176,zip_derived_cl105]) ).
thf(zip_derived_cl185,plain,
sk__8 = empty_set,
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl177]) ).
thf(zip_derived_cl28,plain,
sk__8 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl185,zip_derived_cl28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uZY3vDZtEG true
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Wed Aug 23 17:44:37 EDT 2023
% 0.17/0.36 % CPUTime :
% 0.17/0.36 % Running portfolio for 300 s
% 0.17/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.80 % Solved by fo/fo3_bce.sh.
% 0.21/0.80 % BCE start: 33
% 0.21/0.80 % BCE eliminated: 0
% 0.21/0.80 % PE start: 33
% 0.21/0.80 logic: eq
% 0.21/0.80 % PE eliminated: 3
% 0.21/0.80 % done 58 iterations in 0.026s
% 0.21/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.80 % SZS output start Refutation
% See solution above
% 0.21/0.80
% 0.21/0.80
% 0.21/0.80 % Terminating...
% 1.47/0.84 % Runner terminated.
% 1.47/0.85 % Zipperpin 1.5 exiting
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