TSTP Solution File: SEU255+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU255+2 : 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.Jdm299pbFG true
% Computer : n026.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 19:11:38 EDT 2023
% Result : Theorem 1.53s 0.93s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 92 ( 11 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 392 ( 31 ~; 40 |; 2 &; 309 @)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(relation_restriction_type,type,
relation_restriction: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(t25_wellord1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( antisymmetric @ B )
=> ( antisymmetric @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( antisymmetric @ B )
=> ( antisymmetric @ ( relation_restriction @ B @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t25_wellord1]) ).
thf(zip_derived_cl23,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k2_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ A )
=> ( relation @ ( relation_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
thf(l3_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ ( ordered_pair @ B @ C ) @ A )
& ( in @ ( ordered_pair @ C @ B ) @ A ) )
=> ( B = C ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk_ @ X0 ) ) @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X1 )
| ( antisymmetric @ ( relation_restriction @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ X1 @ X0 ) ) @ ( sk_ @ ( relation_restriction @ X1 @ X0 ) ) ) @ ( relation_restriction @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl11]) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) ) @ ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) ) @ ( relation_restriction @ sk__3 @ X0 ) )
| ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl53]) ).
thf(t16_wellord1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_restriction @ C @ B ) )
<=> ( ( in @ A @ C )
& ( in @ A @ ( cartesian_product2 @ B @ B ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ( in @ X0 @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl446,plain,
! [X0: $i] :
( ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) )
| ~ ( relation @ sk__3 )
| ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) ) @ ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl16]) ).
thf(zip_derived_cl23_001,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl449,plain,
! [X0: $i] :
( ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) ) @ ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl23]) ).
thf(zip_derived_cl23_002,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9_003,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) ) @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X1 )
| ( antisymmetric @ ( relation_restriction @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk_ @ ( relation_restriction @ X1 @ X0 ) ) @ ( sk__1 @ ( relation_restriction @ X1 @ X0 ) ) ) @ ( relation_restriction @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) @ ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) ) ) @ ( relation_restriction @ sk__3 @ X0 ) )
| ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl37]) ).
thf(zip_derived_cl16_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ( in @ X0 @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) )
| ~ ( relation @ sk__3 )
| ( in @ ( ordered_pair @ ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) @ ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) ) ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl16]) ).
thf(zip_derived_cl23_005,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) @ ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) ) ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl23]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( antisymmetric @ X0 )
| ( X2 = X1 )
| ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl191,plain,
! [X0: $i] :
( ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) )
| ~ ( relation @ sk__3 )
| ~ ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) ) @ ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) ) @ sk__3 )
| ( ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) )
= ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) )
| ~ ( antisymmetric @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl13]) ).
thf(zip_derived_cl23_006,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
antisymmetric @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) ) @ ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) ) @ sk__3 )
| ( ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) )
= ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl23,zip_derived_cl25]) ).
thf(zip_derived_cl451,plain,
! [X0: $i] :
( ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) )
| ( ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) )
= ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) )
| ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl192]) ).
thf(zip_derived_cl453,plain,
! [X0: $i] :
( ( ( sk__1 @ ( relation_restriction @ sk__3 @ X0 ) )
= ( sk_ @ ( relation_restriction @ sk__3 @ X0 ) ) )
| ( antisymmetric @ ( relation_restriction @ sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl451]) ).
thf(zip_derived_cl24,plain,
~ ( antisymmetric @ ( relation_restriction @ sk__3 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl454,plain,
( ( sk__1 @ ( relation_restriction @ sk__3 @ sk__2 ) )
= ( sk_ @ ( relation_restriction @ sk__3 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl24]) ).
thf(zip_derived_cl9_007,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
!= ( sk__1 @ X0 ) )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l3_wellord1]) ).
thf(zip_derived_cl24_008,plain,
~ ( antisymmetric @ ( relation_restriction @ sk__3 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
( ~ ( relation @ ( relation_restriction @ sk__3 @ sk__2 ) )
| ( ( sk_ @ ( relation_restriction @ sk__3 @ sk__2 ) )
!= ( sk__1 @ ( relation_restriction @ sk__3 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl24]) ).
thf(zip_derived_cl31,plain,
( ~ ( relation @ sk__3 )
| ( ( sk_ @ ( relation_restriction @ sk__3 @ sk__2 ) )
!= ( sk__1 @ ( relation_restriction @ sk__3 @ sk__2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl26]) ).
thf(zip_derived_cl23_009,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
( ( sk_ @ ( relation_restriction @ sk__3 @ sk__2 ) )
!= ( sk__1 @ ( relation_restriction @ sk__3 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl23]) ).
thf(zip_derived_cl455,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl454,zip_derived_cl32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU255+2 : 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.Jdm299pbFG true
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 17:35:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.53/0.93 % Solved by fo/fo4.sh.
% 1.53/0.93 % done 83 iterations in 0.115s
% 1.53/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.53/0.93 % SZS output start Refutation
% See solution above
% 1.53/0.93
% 1.53/0.93
% 1.53/0.93 % Terminating...
% 1.67/0.98 % Runner terminated.
% 1.67/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------