TSTP Solution File: SEU212+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU212+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hyLeUgVvwm 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 19:11:15 EDT 2023
% Result : Theorem 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 81 ( 15 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 275 ( 32 ~; 32 |; 6 &; 193 @)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 29 !; 1 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(t8_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
<=> ( ( in @ A @ ( relation_dom @ C ) )
& ( B
= ( apply @ C @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
<=> ( ( in @ A @ ( relation_dom @ C ) )
& ( B
= ( apply @ C @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t8_funct_1]) ).
thf(zip_derived_cl55,plain,
( ( sk__13
= ( apply @ sk__14 @ sk__12 ) )
| ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i,C: $i] :
( ( ~ ( in @ B @ ( relation_dom @ A ) )
=> ( ( C
= ( apply @ A @ B ) )
<=> ( C = empty_set ) ) )
& ( ( in @ B @ ( relation_dom @ A ) )
=> ( ( C
= ( apply @ A @ B ) )
<=> ( in @ ( ordered_pair @ B @ C ) @ A ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( in @ ( ordered_pair @ X0 @ X2 ) @ X1 )
| ( X2
!= ( apply @ X1 @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
thf(zip_derived_cl355,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( in @ ( ordered_pair @ X1 @ ( apply @ X0 @ X1 ) ) @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl370,plain,
( ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14 )
| ~ ( relation @ sk__14 )
| ~ ( function @ sk__14 )
| ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14 )
| ~ ( in @ sk__12 @ ( relation_dom @ sk__14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl355]) ).
thf(zip_derived_cl51,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl371,plain,
( ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14 )
| ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14 )
| ~ ( in @ sk__12 @ ( relation_dom @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl370,zip_derived_cl51,zip_derived_cl52]) ).
thf(zip_derived_cl372,plain,
( ~ ( in @ sk__12 @ ( relation_dom @ sk__14 ) )
| ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl371]) ).
thf(zip_derived_cl54,plain,
( ( in @ sk__12 @ ( relation_dom @ sk__14 ) )
| ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl386,plain,
in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14,
inference(clc,[status(thm)],[zip_derived_cl372,zip_derived_cl54]) ).
thf(zip_derived_cl386_001,plain,
in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14,
inference(clc,[status(thm)],[zip_derived_cl372,zip_derived_cl54]) ).
thf(d4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_dom @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
| ( in @ X2 @ ( relation_dom @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl411,plain,
( ~ ( relation @ sk__14 )
| ( in @ sk__12 @ ( relation_dom @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl385]) ).
thf(zip_derived_cl51_002,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl414,plain,
in @ sk__12 @ ( relation_dom @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl411,zip_derived_cl51]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( X2
= ( apply @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ X1 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
thf(zip_derived_cl417,plain,
! [X0: $i] :
( ( X0
= ( apply @ sk__14 @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ sk__12 @ X0 ) @ sk__14 )
| ~ ( function @ sk__14 )
| ~ ( relation @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl7]) ).
thf(zip_derived_cl52_003,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_004,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl421,plain,
! [X0: $i] :
( ( X0
= ( apply @ sk__14 @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ sk__12 @ X0 ) @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl52,zip_derived_cl51]) ).
thf(zip_derived_cl440,plain,
( sk__13
= ( apply @ sk__14 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl421]) ).
thf(zip_derived_cl53,plain,
( ( sk__13
!= ( apply @ sk__14 @ sk__12 ) )
| ~ ( in @ sk__12 @ ( relation_dom @ sk__14 ) )
| ~ ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl414_005,plain,
in @ sk__12 @ ( relation_dom @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl411,zip_derived_cl51]) ).
thf(zip_derived_cl386_006,plain,
in @ ( ordered_pair @ sk__12 @ sk__13 ) @ sk__14,
inference(clc,[status(thm)],[zip_derived_cl372,zip_derived_cl54]) ).
thf(zip_derived_cl448,plain,
( sk__13
!= ( apply @ sk__14 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl414,zip_derived_cl386]) ).
thf(zip_derived_cl454,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl440,zip_derived_cl448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU212+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hyLeUgVvwm true
% 0.13/0.35 % Computer : n016.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 : Wed Aug 23 17:47:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.61 % Total configuration time : 435
% 0.21/0.61 % Estimated wc time : 1092
% 0.21/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 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
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % Solved by fo/fo6_bce.sh.
% 0.21/0.77 % BCE start: 56
% 0.21/0.77 % BCE eliminated: 2
% 0.21/0.77 % PE start: 54
% 0.21/0.77 logic: eq
% 0.21/0.77 % PE eliminated: 2
% 0.21/0.77 % done 83 iterations in 0.032s
% 0.21/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% See solution above
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % Terminating...
% 1.18/0.85 % Runner terminated.
% 1.18/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------