TSTP Solution File: SET994+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET994+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.KJk4RSJ1LO true
% Computer : n018.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 16:17:07 EDT 2023
% Result : Theorem 1.00s 0.85s
% Output : Refutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of formulae : 80 ( 20 unt; 15 typ; 0 def)
% Number of atoms : 169 ( 82 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 367 ( 79 ~; 74 |; 16 &; 184 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 84 ( 0 ^; 81 !; 3 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(relation_empty_yielding_type,type,
relation_empty_yielding: $i > $o ).
thf(n1_type,type,
n1: $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(spc1_boole,axiom,
~ ( empty @ n1 ) ).
thf(zip_derived_cl38,plain,
~ ( empty @ n1 ),
inference(cnf,[status(esa)],[spc1_boole]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] : ( element @ ( sk_ @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl243,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl3]) ).
thf(zip_derived_cl243_001,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl3]) ).
thf(s3_funct_1__e7_14__funct_1,axiom,
! [A: $i] :
? [B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( ( apply @ B @ C )
= n1 ) )
& ( ( relation_dom @ B )
= A )
& ( function @ B )
& ( relation @ B ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( relation_dom @ ( sk__10 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[s3_funct_1__e7_14__funct_1]) ).
thf(s3_funct_1__e4_14__funct_1,axiom,
! [A: $i] :
? [B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( ( apply @ B @ C )
= n0 ) )
& ( ( relation_dom @ B )
= A )
& ( function @ B )
& ( relation @ B ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( relation_dom @ ( sk__9 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[s3_funct_1__e4_14__funct_1]) ).
thf(t16_funct_1,conjecture,
! [A: $i] :
( ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( ( relation_dom @ B )
= A )
& ( ( relation_dom @ C )
= A ) )
=> ( B = C ) ) ) )
=> ( A = empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( ( relation_dom @ B )
= A )
& ( ( relation_dom @ C )
= A ) )
=> ( B = C ) ) ) )
=> ( A = empty_set ) ),
inference('cnf.neg',[status(esa)],[t16_funct_1]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X1 = X0 )
| ( ( relation_dom @ X0 )
!= sk__11 )
| ( ( relation_dom @ X1 )
!= sk__11 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl269,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__11 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= sk__11 )
| ( X1
= ( sk__9 @ X0 ) )
| ~ ( function @ ( sk__9 @ X0 ) )
| ~ ( relation @ ( sk__9 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl39]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] : ( function @ ( sk__9 @ X0 ) ),
inference(cnf,[status(esa)],[s3_funct_1__e4_14__funct_1]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] : ( relation @ ( sk__9 @ X0 ) ),
inference(cnf,[status(esa)],[s3_funct_1__e4_14__funct_1]) ).
thf(zip_derived_cl272,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__11 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= sk__11 )
| ( X1
= ( sk__9 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl30,zip_derived_cl29]) ).
thf(zip_derived_cl276,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__11 )
| ( ( sk__10 @ X0 )
= ( sk__9 @ X1 ) )
| ~ ( function @ ( sk__10 @ X0 ) )
| ~ ( relation @ ( sk__10 @ X0 ) )
| ( X1 != sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl272]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] : ( function @ ( sk__10 @ X0 ) ),
inference(cnf,[status(esa)],[s3_funct_1__e7_14__funct_1]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] : ( relation @ ( sk__10 @ X0 ) ),
inference(cnf,[status(esa)],[s3_funct_1__e7_14__funct_1]) ).
thf(zip_derived_cl279,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__11 )
| ( ( sk__10 @ X0 )
= ( sk__9 @ X1 ) )
| ( X1 != sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl34,zip_derived_cl33]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ ( sk__9 @ X0 ) @ X1 )
= n0 )
| ~ ( in @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[s3_funct_1__e4_14__funct_1]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(spc0_boole,axiom,
empty @ n0 ).
thf(zip_derived_cl37,plain,
empty @ n0,
inference(cnf,[status(esa)],[spc0_boole]) ).
thf(zip_derived_cl199,plain,
n0 = empty_set,
inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl37]) ).
thf(zip_derived_cl259,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ ( sk__9 @ X0 ) @ X1 )
= empty_set )
| ~ ( in @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl199]) ).
thf(zip_derived_cl291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( apply @ ( sk__10 @ X0 ) @ X1 )
= empty_set )
| ( X2 != sk__11 )
| ( X0 != sk__11 )
| ~ ( in @ X1 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl259]) ).
thf(zip_derived_cl551,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ( X1 != sk__11 )
| ( X0 != sk__11 )
| ( ( apply @ ( sk__10 @ X1 ) @ ( sk_ @ X0 ) )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl291]) ).
thf(zip_derived_cl31_002,plain,
! [X0: $i] :
( ( relation_dom @ ( sk__9 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[s3_funct_1__e4_14__funct_1]) ).
thf(fc5_relat_1,axiom,
! [A: $i] :
( ( ~ ( empty @ A )
& ( relation @ A ) )
=> ~ ( empty @ ( relation_dom @ A ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( empty @ ( relation_dom @ X0 ) )
| ~ ( relation @ X0 )
| ( empty @ X0 ) ),
inference(cnf,[status(esa)],[fc5_relat_1]) ).
thf(zip_derived_cl218,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( empty @ ( sk__9 @ X0 ) )
| ~ ( relation @ ( sk__9 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl11]) ).
thf(zip_derived_cl29_003,plain,
! [X0: $i] : ( relation @ ( sk__9 @ X0 ) ),
inference(cnf,[status(esa)],[s3_funct_1__e4_14__funct_1]) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( empty @ ( sk__9 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl29]) ).
thf(zip_derived_cl279_004,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__11 )
| ( ( sk__10 @ X0 )
= ( sk__9 @ X1 ) )
| ( X1 != sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl34,zip_derived_cl33]) ).
thf(zip_derived_cl279_005,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__11 )
| ( ( sk__10 @ X0 )
= ( sk__9 @ X1 ) )
| ( X1 != sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl34,zip_derived_cl33]) ).
thf(zip_derived_cl31_006,plain,
! [X0: $i] :
( ( relation_dom @ ( sk__9 @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[s3_funct_1__e4_14__funct_1]) ).
thf(zip_derived_cl288,plain,
! [X0: $i,X1: $i] :
( ( ( relation_dom @ ( sk__10 @ X0 ) )
= X1 )
| ( X1 != sk__11 )
| ( X0 != sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl31]) ).
thf(zip_derived_cl305,plain,
! [X0: $i] :
( ( X0 != sk__11 )
| ( ( relation_dom @ ( sk__10 @ X0 ) )
= sk__11 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl288]) ).
thf(fc7_relat_1,axiom,
! [A: $i] :
( ( empty @ A )
=> ( ( empty @ ( relation_dom @ A ) )
& ( relation @ ( relation_dom @ A ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( empty @ ( relation_dom @ X0 ) )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[fc7_relat_1]) ).
thf(zip_derived_cl47_007,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl225,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( ( relation_dom @ X0 )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl47]) ).
thf(zip_derived_cl312,plain,
! [X0: $i] :
( ( sk__11 = empty_set )
| ( X0 != sk__11 )
| ~ ( empty @ ( sk__10 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl305,zip_derived_cl225]) ).
thf(zip_derived_cl40,plain,
sk__11 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl321,plain,
! [X0: $i] :
( ( X0 != sk__11 )
| ~ ( empty @ ( sk__10 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl312,zip_derived_cl40]) ).
thf(zip_derived_cl326,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ ( sk__9 @ X0 ) )
| ( X0 != sk__11 )
| ( X1 != sk__11 )
| ( X1 != sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl321]) ).
thf(zip_derived_cl327,plain,
! [X0: $i,X1: $i] :
( ( X1 != sk__11 )
| ( X0 != sk__11 )
| ~ ( empty @ ( sk__9 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl326]) ).
thf(zip_derived_cl328,plain,
! [X0: $i] :
( ~ ( empty @ ( sk__9 @ X0 ) )
| ( X0 != sk__11 ) ),
inference(condensation,[status(thm)],[zip_derived_cl327]) ).
thf(zip_derived_cl358,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( X0 != sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl328]) ).
thf(zip_derived_cl741,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ ( sk__10 @ X1 ) @ ( sk_ @ X0 ) )
= empty_set )
| ( X0 != sk__11 )
| ( X1 != sk__11 ) ),
inference(clc,[status(thm)],[zip_derived_cl551,zip_derived_cl358]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ ( sk__10 @ X0 ) @ X1 )
= n1 )
| ~ ( in @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[s3_funct_1__e7_14__funct_1]) ).
thf(zip_derived_cl742,plain,
! [X0: $i,X1: $i] :
( ( empty_set = n1 )
| ( X1 != sk__11 )
| ( X0 != sk__11 )
| ~ ( in @ ( sk_ @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl741,zip_derived_cl36]) ).
thf(zip_derived_cl776,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( X0 != sk__11 )
| ( X0 != sk__11 )
| ( empty_set = n1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl742]) ).
thf(zip_derived_cl777,plain,
! [X0: $i] :
( ( empty_set = n1 )
| ( X0 != sk__11 )
| ( empty @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl776]) ).
thf(zip_derived_cl358_008,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( X0 != sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl328]) ).
thf(zip_derived_cl779,plain,
! [X0: $i] :
( ( X0 != sk__11 )
| ( empty_set = n1 ) ),
inference(clc,[status(thm)],[zip_derived_cl777,zip_derived_cl358]) ).
thf(zip_derived_cl780,plain,
empty_set = n1,
inference(eq_res,[status(thm)],[zip_derived_cl779]) ).
thf(fc12_relat_1,axiom,
( ( relation_empty_yielding @ empty_set )
& ( relation @ empty_set )
& ( empty @ empty_set ) ) ).
thf(zip_derived_cl6,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl782,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl780,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET994+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KJk4RSJ1LO true
% 0.13/0.35 % Computer : n018.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 : Sat Aug 26 09:51:44 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
% 0.21/0.65 % 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/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /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/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.00/0.85 % Solved by fo/fo3_bce.sh.
% 1.00/0.85 % BCE start: 50
% 1.00/0.85 % BCE eliminated: 2
% 1.00/0.85 % PE start: 48
% 1.00/0.85 logic: eq
% 1.00/0.85 % PE eliminated: 2
% 1.00/0.85 % done 265 iterations in 0.076s
% 1.00/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.00/0.85 % SZS output start Refutation
% See solution above
% 1.00/0.85
% 1.00/0.85
% 1.00/0.85 % Terminating...
% 1.71/0.95 % Runner terminated.
% 1.71/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------