TSTP Solution File: SEU225+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU225+3 : 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.lf1uzEI9Hq true
% Computer : n008.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 19:11:24 EDT 2023
% Result : Theorem 1.35s 0.93s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 17 unt; 12 typ; 0 def)
% Number of atoms : 151 ( 30 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 518 ( 77 ~; 74 |; 11 &; 339 @)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_dom_restriction_type,type,
relation_dom_restriction: $i > $i > $i ).
thf(l82_funct_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ ( relation_dom @ ( relation_dom_restriction @ C @ A ) ) )
<=> ( ( in @ B @ ( relation_dom @ C ) )
& ( in @ B @ A ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X2 ) ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[l82_funct_1]) ).
thf(t68_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( B
= ( relation_dom_restriction @ C @ A ) )
<=> ( ( ( relation_dom @ B )
= ( set_intersection2 @ ( relation_dom @ C ) @ A ) )
& ! [D: $i] :
( ( in @ D @ ( relation_dom @ B ) )
=> ( ( apply @ B @ D )
= ( apply @ C @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X2
!= ( relation_dom_restriction @ X0 @ X1 ) )
| ( ( apply @ X2 @ X3 )
= ( apply @ X0 @ X3 ) )
| ~ ( in @ X3 @ ( relation_dom @ X2 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t68_funct_1]) ).
thf(zip_derived_cl474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ ( relation_dom_restriction @ X1 @ X0 ) )
| ~ ( function @ ( relation_dom_restriction @ X1 @ X0 ) )
| ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
| ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X1 @ X2 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl67]) ).
thf(dt_k7_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ A )
=> ( relation @ ( relation_dom_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k7_relat_1]) ).
thf(zip_derived_cl1420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X1 @ X2 ) )
| ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
| ~ ( function @ ( relation_dom_restriction @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl474,zip_derived_cl13]) ).
thf(fc4_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( relation @ ( relation_dom_restriction @ A @ B ) )
& ( function @ ( relation_dom_restriction @ A @ B ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( function @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc4_funct_1]) ).
thf(zip_derived_cl1421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) ) )
| ( ( apply @ ( relation_dom_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X1 @ X2 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1420,zip_derived_cl26]) ).
thf(t72_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ A )
=> ( ( apply @ ( relation_dom_restriction @ C @ A ) @ B )
= ( apply @ C @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ A )
=> ( ( apply @ ( relation_dom_restriction @ C @ A ) @ B )
= ( apply @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t72_funct_1]) ).
thf(zip_derived_cl70,plain,
( ( apply @ ( relation_dom_restriction @ sk__14 @ sk__12 ) @ sk__13 )
!= ( apply @ sk__14 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1426,plain,
( ( ( apply @ sk__14 @ sk__13 )
!= ( apply @ sk__14 @ sk__13 ) )
| ~ ( relation @ sk__14 )
| ~ ( function @ sk__14 )
| ~ ( in @ sk__13 @ ( relation_dom @ ( relation_dom_restriction @ sk__14 @ sk__12 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1421,zip_derived_cl70]) ).
thf(zip_derived_cl72,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1429,plain,
( ( ( apply @ sk__14 @ sk__13 )
!= ( apply @ sk__14 @ sk__13 ) )
| ~ ( in @ sk__13 @ ( relation_dom @ ( relation_dom_restriction @ sk__14 @ sk__12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1426,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl1430,plain,
~ ( in @ sk__13 @ ( relation_dom @ ( relation_dom_restriction @ sk__14 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1429]) ).
thf(zip_derived_cl1433,plain,
( ~ ( relation @ sk__14 )
| ~ ( function @ sk__14 )
| ~ ( in @ sk__13 @ sk__12 )
| ~ ( in @ sk__13 @ ( relation_dom @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl1430]) ).
thf(zip_derived_cl72_001,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_002,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73,plain,
in @ sk__13 @ sk__12,
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_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( relation_dom @ X1 ) )
| ( X2 = empty_set )
| ( X2
!= ( apply @ X1 @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ X0 @ X1 )
= empty_set )
| ( in @ X1 @ ( relation_dom @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl26_003,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( function @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc4_funct_1]) ).
thf(zip_derived_cl13_004,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k7_relat_1]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ ( relation_dom_restriction @ X1 @ X2 ) ) )
| ( in @ X0 @ ( relation_dom @ X1 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[l82_funct_1]) ).
thf(zip_derived_cl405_005,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ X0 @ X1 )
= empty_set )
| ( in @ X1 @ ( relation_dom @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl70_006,plain,
( ( apply @ ( relation_dom_restriction @ sk__14 @ sk__12 ) @ sk__13 )
!= ( apply @ sk__14 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl515,plain,
( ( empty_set
!= ( apply @ sk__14 @ sk__13 ) )
| ( in @ sk__13 @ ( relation_dom @ ( relation_dom_restriction @ sk__14 @ sk__12 ) ) )
| ~ ( function @ ( relation_dom_restriction @ sk__14 @ sk__12 ) )
| ~ ( relation @ ( relation_dom_restriction @ sk__14 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl70]) ).
thf(zip_derived_cl536,plain,
( ~ ( relation @ sk__14 )
| ~ ( function @ sk__14 )
| ( in @ sk__13 @ ( relation_dom @ sk__14 ) )
| ~ ( relation @ ( relation_dom_restriction @ sk__14 @ sk__12 ) )
| ~ ( function @ ( relation_dom_restriction @ sk__14 @ sk__12 ) )
| ( empty_set
!= ( apply @ sk__14 @ sk__13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl515]) ).
thf(zip_derived_cl72_007,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_008,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl539,plain,
( ( in @ sk__13 @ ( relation_dom @ sk__14 ) )
| ~ ( relation @ ( relation_dom_restriction @ sk__14 @ sk__12 ) )
| ~ ( function @ ( relation_dom_restriction @ sk__14 @ sk__12 ) )
| ( empty_set
!= ( apply @ sk__14 @ sk__13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl536,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl553,plain,
( ~ ( relation @ sk__14 )
| ( empty_set
!= ( apply @ sk__14 @ sk__13 ) )
| ~ ( function @ ( relation_dom_restriction @ sk__14 @ sk__12 ) )
| ( in @ sk__13 @ ( relation_dom @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl539]) ).
thf(zip_derived_cl72_009,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl554,plain,
( ( empty_set
!= ( apply @ sk__14 @ sk__13 ) )
| ~ ( function @ ( relation_dom_restriction @ sk__14 @ sk__12 ) )
| ( in @ sk__13 @ ( relation_dom @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl553,zip_derived_cl72]) ).
thf(zip_derived_cl570,plain,
( ~ ( relation @ sk__14 )
| ~ ( function @ sk__14 )
| ( in @ sk__13 @ ( relation_dom @ sk__14 ) )
| ( empty_set
!= ( apply @ sk__14 @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl554]) ).
thf(zip_derived_cl72_010,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl71_011,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl571,plain,
( ( in @ sk__13 @ ( relation_dom @ sk__14 ) )
| ( empty_set
!= ( apply @ sk__14 @ sk__13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl570,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl573,plain,
( ( empty_set != empty_set )
| ( in @ sk__13 @ ( relation_dom @ sk__14 ) )
| ~ ( function @ sk__14 )
| ~ ( relation @ sk__14 )
| ( in @ sk__13 @ ( relation_dom @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl571]) ).
thf(zip_derived_cl71_012,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72_013,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl574,plain,
( ( empty_set != empty_set )
| ( in @ sk__13 @ ( relation_dom @ sk__14 ) )
| ( in @ sk__13 @ ( relation_dom @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl573,zip_derived_cl71,zip_derived_cl72]) ).
thf(zip_derived_cl575,plain,
in @ sk__13 @ ( relation_dom @ sk__14 ),
inference(simplify,[status(thm)],[zip_derived_cl574]) ).
thf(zip_derived_cl1439,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1433,zip_derived_cl72,zip_derived_cl71,zip_derived_cl73,zip_derived_cl575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU225+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lf1uzEI9Hq true
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 21:36:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.35/0.93 % Solved by fo/fo3_bce.sh.
% 1.35/0.93 % BCE start: 76
% 1.35/0.93 % BCE eliminated: 2
% 1.35/0.93 % PE start: 74
% 1.35/0.93 logic: eq
% 1.35/0.93 % PE eliminated: 2
% 1.35/0.93 % done 359 iterations in 0.187s
% 1.35/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.93 % SZS output start Refutation
% See solution above
% 1.35/0.93
% 1.35/0.93
% 1.35/0.93 % Terminating...
% 1.56/1.04 % Runner terminated.
% 1.56/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------