TSTP Solution File: SEU224+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU224+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.oPn9GeAzA4 true
% Computer : n028.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 19:11:23 EDT 2023
% Result : Theorem 1.32s 1.01s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 69 ( 20 unt; 10 typ; 0 def)
% Number of atoms : 147 ( 35 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 509 ( 66 ~; 66 |; 10 &; 355 @)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 84 ( 0 ^; 84 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_dom_restriction_type,type,
relation_dom_restriction: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__3_type,type,
sk__3: $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_cl62,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_cl362,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_cl62]) ).
thf(dt_k7_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ A )
=> ( relation @ ( relation_dom_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_dom_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k7_relat_1]) ).
thf(zip_derived_cl618,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_cl362,zip_derived_cl17]) ).
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_cl27,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_cl619,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_cl618,zip_derived_cl27]) ).
thf(l82_funct_1,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ),
inference('cnf.neg',[status(esa)],[l82_funct_1]) ).
thf(zip_derived_cl37,plain,
( ~ ( in @ sk__3 @ sk__2 )
| ~ ( in @ sk__3 @ ( relation_dom @ sk__4 ) )
| ~ ( in @ sk__3 @ ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl619_001,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_cl618,zip_derived_cl27]) ).
thf(idempotence_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
thf(zip_derived_cl39,plain,
( ( in @ sk__3 @ sk__2 )
| ( in @ sk__3 @ ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl365,plain,
! [X0: $i,X1: $i] :
( ( in @ sk__3 @ sk__2 )
| ( ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) )
!= ( set_intersection2 @ X1 @ X0 ) )
| ( in @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl8]) ).
thf(zip_derived_cl435,plain,
! [X0: $i] :
( ( ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) )
!= X0 )
| ( in @ sk__3 @ X0 )
| ( in @ sk__3 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl365]) ).
thf(zip_derived_cl640,plain,
! [X0: $i] :
( ( ( set_intersection2 @ ( relation_dom @ sk__4 ) @ sk__2 )
!= X0 )
| ~ ( relation @ sk__4 )
| ~ ( function @ sk__4 )
| ( in @ sk__3 @ sk__2 )
| ( in @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl435]) ).
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_cl35,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
function @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl655,plain,
! [X0: $i] :
( ( ( set_intersection2 @ sk__2 @ ( relation_dom @ sk__4 ) )
!= X0 )
| ( in @ sk__3 @ sk__2 )
| ( in @ sk__3 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl6,zip_derived_cl35,zip_derived_cl36]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl696,plain,
! [X0: $i] :
( ( in @ sk__3 @ sk__2 )
| ( ( set_intersection2 @ sk__2 @ ( relation_dom @ sk__4 ) )
!= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl655,zip_derived_cl9]) ).
thf(zip_derived_cl698,plain,
in @ sk__3 @ sk__2,
inference(eq_res,[status(thm)],[zip_derived_cl696]) ).
thf(zip_derived_cl700,plain,
( ~ ( in @ sk__3 @ ( relation_dom @ sk__4 ) )
| ~ ( in @ sk__3 @ ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl698]) ).
thf(zip_derived_cl816,plain,
( ~ ( in @ sk__3 @ ( set_intersection2 @ ( relation_dom @ sk__4 ) @ sk__2 ) )
| ~ ( relation @ sk__4 )
| ~ ( function @ sk__4 )
| ~ ( in @ sk__3 @ ( relation_dom @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl700]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl35_003,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_004,plain,
function @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl817,plain,
( ~ ( in @ sk__3 @ ( set_intersection2 @ sk__2 @ ( relation_dom @ sk__4 ) ) )
| ~ ( in @ sk__3 @ ( relation_dom @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl816,zip_derived_cl6,zip_derived_cl35,zip_derived_cl36]) ).
thf(zip_derived_cl698_005,plain,
in @ sk__3 @ sk__2,
inference(eq_res,[status(thm)],[zip_derived_cl696]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl703,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( set_intersection2 @ sk__2 @ X1 ) )
| ( in @ sk__3 @ X0 )
| ~ ( in @ sk__3 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl698,zip_derived_cl7]) ).
thf(zip_derived_cl932,plain,
! [X0: $i] :
( ~ ( in @ sk__3 @ X0 )
| ( in @ sk__3 @ ( set_intersection2 @ sk__2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl703]) ).
thf(zip_derived_cl1356,plain,
( ~ ( in @ sk__3 @ ( relation_dom @ sk__4 ) )
| ~ ( in @ sk__3 @ ( relation_dom @ sk__4 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl817,zip_derived_cl932]) ).
thf(zip_derived_cl1366,plain,
~ ( in @ sk__3 @ ( relation_dom @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1356]) ).
thf(zip_derived_cl619_006,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_cl618,zip_derived_cl27]) ).
thf(zip_derived_cl34_007,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
thf(zip_derived_cl38,plain,
( ( in @ sk__3 @ ( relation_dom @ sk__4 ) )
| ( in @ sk__3 @ ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl400,plain,
! [X0: $i,X1: $i] :
( ( in @ sk__3 @ ( relation_dom @ sk__4 ) )
| ( ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) )
!= ( set_intersection2 @ X1 @ X0 ) )
| ( in @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl8]) ).
thf(zip_derived_cl515,plain,
! [X0: $i] :
( ( ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) )
!= X0 )
| ( in @ sk__3 @ X0 )
| ( in @ sk__3 @ ( relation_dom @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl400]) ).
thf(zip_derived_cl1366_009,plain,
~ ( in @ sk__3 @ ( relation_dom @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1356]) ).
thf(zip_derived_cl1378,plain,
! [X0: $i] :
( ( ( relation_dom @ ( relation_dom_restriction @ sk__4 @ sk__2 ) )
!= X0 )
| ( in @ sk__3 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl515,zip_derived_cl1366]) ).
thf(zip_derived_cl1400,plain,
! [X0: $i] :
( ( ( set_intersection2 @ ( relation_dom @ sk__4 ) @ sk__2 )
!= X0 )
| ~ ( relation @ sk__4 )
| ~ ( function @ sk__4 )
| ( in @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl619,zip_derived_cl1378]) ).
thf(zip_derived_cl6_010,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl35_011,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_012,plain,
function @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1402,plain,
! [X0: $i] :
( ( ( set_intersection2 @ sk__2 @ ( relation_dom @ sk__4 ) )
!= X0 )
| ( in @ sk__3 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1400,zip_derived_cl6,zip_derived_cl35,zip_derived_cl36]) ).
thf(zip_derived_cl1440,plain,
in @ sk__3 @ ( set_intersection2 @ sk__2 @ ( relation_dom @ sk__4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1402]) ).
thf(zip_derived_cl8_013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl1609,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ sk__2 @ ( relation_dom @ sk__4 ) )
!= ( set_intersection2 @ X1 @ X0 ) )
| ( in @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl8]) ).
thf(zip_derived_cl1857,plain,
in @ sk__3 @ ( relation_dom @ sk__4 ),
inference(eq_res,[status(thm)],[zip_derived_cl1609]) ).
thf(zip_derived_cl1865,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1366,zip_derived_cl1857]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU224+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.oPn9GeAzA4 true
% 0.14/0.35 % Computer : n028.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 15:39:04 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
% 0.14/0.35 % 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
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/1.01 % Solved by fo/fo3_bce.sh.
% 1.32/1.01 % BCE start: 66
% 1.32/1.01 % BCE eliminated: 2
% 1.32/1.01 % PE start: 64
% 1.32/1.01 logic: eq
% 1.32/1.01 % PE eliminated: 2
% 1.32/1.01 % done 519 iterations in 0.258s
% 1.32/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/1.01 % SZS output start Refutation
% See solution above
% 1.32/1.01
% 1.32/1.01
% 1.32/1.01 % Terminating...
% 1.59/1.06 % Runner terminated.
% 1.74/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------