TSTP Solution File: SEU214+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU214+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.6wSRT0lkiq true
% Computer : n019.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 19:11:16 EDT 2023
% Result : Theorem 129.36s 19.14s
% Output : Refutation 129.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 19
% Syntax : Number of formulae : 89 ( 35 unt; 13 typ; 0 def)
% Number of atoms : 202 ( 27 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 849 ( 96 ~; 93 |; 12 &; 627 @)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 92 ( 0 ^; 90 !; 2 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(function_type,type,
function: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(dt_k5_relat_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( relation @ B ) )
=> ( relation @ ( relation_composition @ A @ B ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ( relation @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k5_relat_1]) ).
thf(t22_funct_1,conjecture,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ A @ ( relation_dom @ ( relation_composition @ C @ B ) ) )
=> ( ( apply @ ( relation_composition @ C @ B ) @ A )
= ( apply @ B @ ( apply @ C @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ A @ ( relation_dom @ ( relation_composition @ C @ B ) ) )
=> ( ( apply @ ( relation_composition @ C @ B ) @ A )
= ( apply @ B @ ( apply @ C @ A ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t22_funct_1]) ).
thf(zip_derived_cl59,plain,
in @ sk__14 @ ( relation_dom @ ( relation_composition @ sk__16 @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ ( ordered_pair @ X2 @ ( sk__2 @ X2 @ X0 ) ) @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl381,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ X0 ) )
| ( in @ ( ordered_pair @ X1 @ ( sk__2 @ X1 @ X0 ) ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl11488,plain,
( ~ ( relation @ ( relation_composition @ sk__16 @ sk__15 ) )
| ( in @ ( ordered_pair @ sk__14 @ ( sk__2 @ sk__14 @ ( relation_composition @ sk__16 @ sk__15 ) ) ) @ ( relation_composition @ sk__16 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl381]) ).
thf(zip_derived_cl90335,plain,
( ~ ( relation @ sk__15 )
| ~ ( relation @ sk__16 )
| ( in @ ( ordered_pair @ sk__14 @ ( sk__2 @ sk__14 @ ( relation_composition @ sk__16 @ sk__15 ) ) ) @ ( relation_composition @ sk__16 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl11488]) ).
thf(zip_derived_cl57,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90448,plain,
in @ ( ordered_pair @ sk__14 @ ( sk__2 @ sk__14 @ ( relation_composition @ sk__16 @ sk__15 ) ) ) @ ( relation_composition @ sk__16 @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl90335,zip_derived_cl57,zip_derived_cl62]) ).
thf(zip_derived_cl90448_001,plain,
in @ ( ordered_pair @ sk__14 @ ( sk__2 @ sk__14 @ ( relation_composition @ sk__16 @ sk__15 ) ) ) @ ( relation_composition @ sk__16 @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl90335,zip_derived_cl57,zip_derived_cl62]) ).
thf(zip_derived_cl25_002,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ( relation @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k5_relat_1]) ).
thf(fc1_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( function @ A )
& ( relation @ B )
& ( function @ B ) )
=> ( ( relation @ ( relation_composition @ A @ B ) )
& ( function @ ( relation_composition @ A @ B ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( function @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc1_funct_1]) ).
thf(zip_derived_cl59_003,plain,
in @ sk__14 @ ( relation_dom @ ( relation_composition @ sk__16 @ sk__15 ) ),
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_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_cl201,plain,
! [X0: $i] :
( ( X0
= ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) )
| ~ ( in @ ( ordered_pair @ sk__14 @ X0 ) @ ( relation_composition @ sk__16 @ sk__15 ) )
| ~ ( function @ ( relation_composition @ sk__16 @ sk__15 ) )
| ~ ( relation @ ( relation_composition @ sk__16 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl7]) ).
thf(zip_derived_cl3540,plain,
! [X0: $i] :
( ~ ( function @ sk__15 )
| ~ ( relation @ sk__15 )
| ~ ( relation @ sk__16 )
| ~ ( function @ sk__16 )
| ( X0
= ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) )
| ~ ( in @ ( ordered_pair @ sk__14 @ X0 ) @ ( relation_composition @ sk__16 @ sk__15 ) )
| ~ ( relation @ ( relation_composition @ sk__16 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl201]) ).
thf(zip_derived_cl58,plain,
function @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_004,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_005,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3571,plain,
! [X0: $i] :
( ( X0
= ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) )
| ~ ( in @ ( ordered_pair @ sk__14 @ X0 ) @ ( relation_composition @ sk__16 @ sk__15 ) )
| ~ ( relation @ ( relation_composition @ sk__16 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3540,zip_derived_cl58,zip_derived_cl57,zip_derived_cl62,zip_derived_cl61]) ).
thf(zip_derived_cl3645,plain,
! [X0: $i] :
( ~ ( relation @ sk__15 )
| ~ ( relation @ sk__16 )
| ( X0
= ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) )
| ~ ( in @ ( ordered_pair @ sk__14 @ X0 ) @ ( relation_composition @ sk__16 @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl3571]) ).
thf(zip_derived_cl57_006,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_007,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3676,plain,
! [X0: $i] :
( ( X0
= ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) )
| ~ ( in @ ( ordered_pair @ sk__14 @ X0 ) @ ( relation_composition @ sk__16 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3645,zip_derived_cl57,zip_derived_cl62]) ).
thf(zip_derived_cl90547,plain,
( ( sk__2 @ sk__14 @ ( relation_composition @ sk__16 @ sk__15 ) )
= ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90448,zip_derived_cl3676]) ).
thf(zip_derived_cl90685,plain,
in @ ( ordered_pair @ sk__14 @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) ) @ ( relation_composition @ sk__16 @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl90448,zip_derived_cl90547]) ).
thf(d8_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ! [C: $i] :
( ( relation @ C )
=> ( ( C
= ( relation_composition @ A @ B ) )
<=> ! [D: $i,E: $i] :
( ( in @ ( ordered_pair @ D @ E ) @ C )
<=> ? [F: $i] :
( ( in @ ( ordered_pair @ F @ E ) @ B )
& ( in @ ( ordered_pair @ D @ F ) @ A ) ) ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X2
!= ( relation_composition @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ X3 @ ( sk__6 @ X4 @ X3 @ X0 @ X1 ) ) @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d8_relat_1]) ).
thf(zip_derived_cl524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ ( relation_composition @ X0 @ X1 ) )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_composition @ X0 @ X1 ) )
| ( in @ ( ordered_pair @ X3 @ ( sk__6 @ X2 @ X3 @ X1 @ X0 ) ) @ X0 )
| ~ ( relation @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl25_008,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ( relation @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k5_relat_1]) ).
thf(zip_derived_cl14216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X1 )
| ( in @ ( ordered_pair @ X3 @ ( sk__6 @ X2 @ X3 @ X1 @ X0 ) ) @ X0 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_composition @ X0 @ X1 ) )
| ~ ( relation @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl524,zip_derived_cl25]) ).
thf(zip_derived_cl90902,plain,
( ~ ( relation @ sk__15 )
| ( in @ ( ordered_pair @ sk__14 @ ( sk__6 @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) @ sk__14 @ sk__15 @ sk__16 ) ) @ sk__16 )
| ~ ( relation @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90685,zip_derived_cl14216]) ).
thf(zip_derived_cl57_009,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_010,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91039,plain,
in @ ( ordered_pair @ sk__14 @ ( sk__6 @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) @ sk__14 @ sk__15 @ sk__16 ) ) @ sk__16,
inference(demod,[status(thm)],[zip_derived_cl90902,zip_derived_cl57,zip_derived_cl62]) ).
thf(zip_derived_cl91039_011,plain,
in @ ( ordered_pair @ sk__14 @ ( sk__6 @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) @ sk__14 @ sk__15 @ sk__16 ) ) @ sk__16,
inference(demod,[status(thm)],[zip_derived_cl90902,zip_derived_cl57,zip_derived_cl62]) ).
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_cl425,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_cl96380,plain,
( ~ ( relation @ sk__16 )
| ( in @ sk__14 @ ( relation_dom @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91039,zip_derived_cl425]) ).
thf(zip_derived_cl62_012,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl96482,plain,
in @ sk__14 @ ( relation_dom @ sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl96380,zip_derived_cl62]) ).
thf(zip_derived_cl7_013,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_cl96488,plain,
! [X0: $i] :
( ( X0
= ( apply @ sk__16 @ sk__14 ) )
| ~ ( in @ ( ordered_pair @ sk__14 @ X0 ) @ sk__16 )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96482,zip_derived_cl7]) ).
thf(zip_derived_cl61_014,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62_015,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl96513,plain,
! [X0: $i] :
( ( X0
= ( apply @ sk__16 @ sk__14 ) )
| ~ ( in @ ( ordered_pair @ sk__14 @ X0 ) @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl96488,zip_derived_cl61,zip_derived_cl62]) ).
thf(zip_derived_cl99380,plain,
( ( sk__6 @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) @ sk__14 @ sk__15 @ sk__16 )
= ( apply @ sk__16 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91039,zip_derived_cl96513]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( relation @ X0 )
| ( X2
!= ( relation_composition @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__6 @ X3 @ X4 @ X0 @ X1 ) @ X3 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X4 @ X3 ) @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d8_relat_1]) ).
thf(zip_derived_cl583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ ( relation_composition @ X0 @ X1 ) )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_composition @ X0 @ X1 ) )
| ( in @ ( ordered_pair @ ( sk__6 @ X2 @ X3 @ X1 @ X0 ) @ X2 ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl25_016,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ( relation @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k5_relat_1]) ).
thf(zip_derived_cl15293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X1 )
| ( in @ ( ordered_pair @ ( sk__6 @ X2 @ X3 @ X1 @ X0 ) @ X2 ) @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_composition @ X0 @ X1 ) )
| ~ ( relation @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl583,zip_derived_cl25]) ).
thf(zip_derived_cl104467,plain,
( ~ ( relation @ sk__15 )
| ( in @ ( ordered_pair @ ( apply @ sk__16 @ sk__14 ) @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) ) @ sk__15 )
| ~ ( in @ ( ordered_pair @ sk__14 @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) ) @ ( relation_composition @ sk__16 @ sk__15 ) )
| ~ ( relation @ sk__16 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl99380,zip_derived_cl15293]) ).
thf(zip_derived_cl57_017,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90685_018,plain,
in @ ( ordered_pair @ sk__14 @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) ) @ ( relation_composition @ sk__16 @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl90448,zip_derived_cl90547]) ).
thf(zip_derived_cl62_019,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104538,plain,
in @ ( ordered_pair @ ( apply @ sk__16 @ sk__14 ) @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl104467,zip_derived_cl57,zip_derived_cl90685,zip_derived_cl62]) ).
thf(zip_derived_cl104538_020,plain,
in @ ( ordered_pair @ ( apply @ sk__16 @ sk__14 ) @ ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 ) ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl104467,zip_derived_cl57,zip_derived_cl90685,zip_derived_cl62]) ).
thf(zip_derived_cl425_021,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_cl104558,plain,
( ~ ( relation @ sk__15 )
| ( in @ ( apply @ sk__16 @ sk__14 ) @ ( relation_dom @ sk__15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl104538,zip_derived_cl425]) ).
thf(zip_derived_cl57_022,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104658,plain,
in @ ( apply @ sk__16 @ sk__14 ) @ ( relation_dom @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl104558,zip_derived_cl57]) ).
thf(zip_derived_cl7_023,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_cl104739,plain,
! [X0: $i] :
( ( X0
= ( apply @ sk__15 @ ( apply @ sk__16 @ sk__14 ) ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__16 @ sk__14 ) @ X0 ) @ sk__15 )
| ~ ( function @ sk__15 )
| ~ ( relation @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl104658,zip_derived_cl7]) ).
thf(zip_derived_cl58_024,plain,
function @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_025,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104781,plain,
! [X0: $i] :
( ( X0
= ( apply @ sk__15 @ ( apply @ sk__16 @ sk__14 ) ) )
| ~ ( in @ ( ordered_pair @ ( apply @ sk__16 @ sk__14 ) @ X0 ) @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl104739,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl111833,plain,
( ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 )
= ( apply @ sk__15 @ ( apply @ sk__16 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl104538,zip_derived_cl104781]) ).
thf(zip_derived_cl60,plain,
( ( apply @ ( relation_composition @ sk__16 @ sk__15 ) @ sk__14 )
!= ( apply @ sk__15 @ ( apply @ sk__16 @ sk__14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111864,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl111833,zip_derived_cl60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEU214+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6wSRT0lkiq true
% 0.14/0.36 % Computer : n019.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 20:05:14 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.21/0.37 % Python version: Python 3.6.8
% 0.21/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 129.36/19.14 % Solved by fo/fo13.sh.
% 129.36/19.14 % done 8161 iterations in 18.343s
% 129.36/19.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 129.36/19.14 % SZS output start Refutation
% See solution above
% 129.36/19.14
% 129.36/19.14
% 129.36/19.14 % Terminating...
% 129.85/19.23 % Runner terminated.
% 129.85/19.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------