TSTP Solution File: SEU199+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU199+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RYvHzuU8O1 true
% Computer : n013.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 19:11:10 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 46 ( 17 unt; 11 typ; 0 def)
% Number of atoms : 78 ( 13 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 426 ( 37 ~; 31 |; 1 &; 346 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 0 ^; 51 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_rng_restriction_type,type,
relation_rng_restriction: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(dt_k8_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( relation @ ( relation_rng_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(d3_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ( ( subset @ A @ B )
<=> ! [C: $i,D: $i] :
( ( in @ ( ordered_pair @ C @ D ) @ A )
=> ( in @ ( ordered_pair @ C @ D ) @ B ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( in @ ( ordered_pair @ ( sk__2 @ X0 @ X1 ) @ ( sk__3 @ X0 @ X1 ) ) @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d3_relat_1]) ).
thf(t117_relat_1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( subset @ ( relation_rng_restriction @ A @ B ) @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ( subset @ ( relation_rng_restriction @ A @ B ) @ B ) ),
inference('cnf.neg',[status(esa)],[t117_relat_1]) ).
thf(zip_derived_cl40,plain,
~ ( subset @ ( relation_rng_restriction @ sk__11 @ sk__12 ) @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl236,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ ( sk__3 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
| ~ ( relation @ sk__12 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl40]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl12,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_cl293,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl39,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl369,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ ( sk__3 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl293,zip_derived_cl39]) ).
thf(d12_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ! [C: $i] :
( ( relation @ C )
=> ( ( C
= ( relation_rng_restriction @ A @ B ) )
<=> ! [D: $i,E: $i] :
( ( in @ ( ordered_pair @ D @ E ) @ C )
<=> ( ( in @ E @ A )
& ( in @ ( ordered_pair @ D @ E ) @ B ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ X1 @ X2 ) )
| ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[d12_relat_1]) ).
thf(zip_derived_cl293_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl293_002,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X0
!= ( relation_rng_restriction @ X1 @ X2 ) )
| ( in @ ( unordered_pair @ ( singleton @ X3 ) @ ( unordered_pair @ X3 @ X4 ) ) @ X2 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X3 ) @ ( unordered_pair @ X3 @ X4 ) ) @ X0 )
| ~ ( relation @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl293,zip_derived_cl293]) ).
thf(zip_derived_cl372,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
| ~ ( relation @ X0 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ ( sk__3 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ) @ X0 )
| ( ( relation_rng_restriction @ sk__11 @ sk__12 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl295]) ).
thf(zip_derived_cl378,plain,
! [X0: $i,X1: $i] :
( ( ( relation_rng_restriction @ sk__11 @ sk__12 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ ( sk__3 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ) @ X0 )
| ~ ( relation @ X0 )
| ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl372]) ).
thf(zip_derived_cl432,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
| ~ ( relation @ sk__12 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ ( sk__3 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ) @ sk__12 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl378]) ).
thf(zip_derived_cl39_003,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl433,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ ( sk__3 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ) @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl39]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( in @ ( ordered_pair @ ( sk__2 @ X0 @ X1 ) @ ( sk__3 @ X0 @ X1 ) ) @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d3_relat_1]) ).
thf(zip_derived_cl40_004,plain,
~ ( subset @ ( relation_rng_restriction @ sk__11 @ sk__12 ) @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl233,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ ( sk__3 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) @ sk__12 )
| ~ ( relation @ sk__12 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl40]) ).
thf(zip_derived_cl293_005,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl39_006,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl317,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ ( sk__3 @ sk__12 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ) @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl293,zip_derived_cl39]) ).
thf(zip_derived_cl434,plain,
~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl433,zip_derived_cl317]) ).
thf(zip_derived_cl438,plain,
~ ( relation @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl434]) ).
thf(zip_derived_cl39_007,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl439,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU199+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RYvHzuU8O1 true
% 0.14/0.35 % Computer : n013.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 13:35:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79 % Solved by fo/fo3_bce.sh.
% 0.21/0.79 % BCE start: 50
% 0.21/0.79 % BCE eliminated: 0
% 0.21/0.79 % PE start: 50
% 0.21/0.79 logic: eq
% 0.21/0.79 % PE eliminated: -3
% 0.21/0.79 % done 99 iterations in 0.067s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.80
% 0.21/0.80
% 0.21/0.80 % Terminating...
% 1.16/0.87 % Runner terminated.
% 1.16/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------