TSTP Solution File: SEU037+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU037+1 : 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.VPVkMATOZ7 true
% Computer : n010.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 19:10:16 EDT 2023
% Result : Theorem 1.36s 0.85s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 42 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 93 ( 21 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 352 ( 50 ~; 44 |; 7 &; 241 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_dom_restriction_type,type,
relation_dom_restriction: $i > $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
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_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X2
!= ( relation_dom_restriction @ X0 @ X1 ) )
| ( ( relation_dom @ X2 )
= ( set_intersection2 @ ( relation_dom @ X0 ) @ X1 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t68_funct_1]) ).
thf(zip_derived_cl371,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ ( relation_dom_restriction @ X1 @ X0 ) )
| ~ ( function @ ( relation_dom_restriction @ X1 @ X0 ) )
| ( ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) )
= ( set_intersection2 @ ( relation_dom @ X1 ) @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl56]) ).
thf(dt_k7_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ A )
=> ( relation @ ( relation_dom_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k7_relat_1]) ).
thf(zip_derived_cl556,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) )
= ( set_intersection2 @ ( relation_dom @ X1 ) @ X0 ) )
| ~ ( function @ ( relation_dom_restriction @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl371,zip_derived_cl7]) ).
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_cl17,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_cl557,plain,
! [X0: $i,X1: $i] :
( ( ( relation_dom @ ( relation_dom_restriction @ X1 @ X0 ) )
= ( set_intersection2 @ ( relation_dom @ X1 ) @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl556,zip_derived_cl17]) ).
thf(zip_derived_cl55,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_cl394,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_cl55]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k7_relat_1]) ).
thf(zip_derived_cl877,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_cl394,zip_derived_cl7]) ).
thf(zip_derived_cl17_002,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_cl878,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_cl877,zip_derived_cl17]) ).
thf(t71_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ B @ ( set_intersection2 @ ( relation_dom @ C ) @ 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 @ ( set_intersection2 @ ( relation_dom @ C ) @ A ) )
=> ( ( apply @ ( relation_dom_restriction @ C @ A ) @ B )
= ( apply @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t71_funct_1]) ).
thf(zip_derived_cl60,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_cl887,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_cl878,zip_derived_cl60]) ).
thf(zip_derived_cl58,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl895,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_cl887,zip_derived_cl58,zip_derived_cl59]) ).
thf(zip_derived_cl896,plain,
~ ( in @ sk__13 @ ( relation_dom @ ( relation_dom_restriction @ sk__14 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl895]) ).
thf(zip_derived_cl917,plain,
( ~ ( in @ sk__13 @ ( set_intersection2 @ ( relation_dom @ sk__14 ) @ sk__12 ) )
| ~ ( relation @ sk__14 )
| ~ ( function @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl896]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl61,plain,
in @ sk__13 @ ( set_intersection2 @ ( relation_dom @ sk__14 ) @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_003,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl351,plain,
in @ sk__13 @ ( set_intersection2 @ sk__12 @ ( relation_dom @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl6]) ).
thf(zip_derived_cl58_004,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_005,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl919,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl917,zip_derived_cl6,zip_derived_cl351,zip_derived_cl58,zip_derived_cl59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VPVkMATOZ7 true
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 13:06:06 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/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
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.97/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.97/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.97/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.97/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.97/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.85 % Solved by fo/fo3_bce.sh.
% 1.36/0.85 % BCE start: 64
% 1.36/0.85 % BCE eliminated: 2
% 1.36/0.85 % PE start: 62
% 1.36/0.85 logic: eq
% 1.36/0.85 % PE eliminated: 2
% 1.36/0.85 % done 249 iterations in 0.114s
% 1.36/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.85 % SZS output start Refutation
% See solution above
% 1.36/0.85
% 1.36/0.85
% 1.36/0.85 % Terminating...
% 1.65/0.95 % Runner terminated.
% 1.65/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------