TSTP Solution File: SEU048+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU048+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.4Hs7ORIbza true
% Computer : n012.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 19:10:19 EDT 2023
% Result : Theorem 1.29s 1.16s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 93 ( 20 unt; 15 typ; 0 def)
% Number of atoms : 278 ( 43 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1159 ( 171 ~; 164 |; 15 &; 788 @)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 94 ( 0 ^; 94 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(relation_rng_restriction_type,type,
relation_rng_restriction: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(fc5_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( relation @ ( relation_rng_restriction @ A @ B ) )
& ( function @ ( relation_rng_restriction @ A @ B ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( function @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[fc5_funct_1]) ).
thf(dt_k8_relat_1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( relation @ ( relation_rng_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(t85_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( function @ B )
& ( relation @ B ) )
=> ! [C: $i] :
( ( ( function @ C )
& ( relation @ C ) )
=> ( ( B
= ( relation_rng_restriction @ A @ C ) )
<=> ( ! [D: $i] :
( ( in @ D @ ( relation_dom @ B ) )
=> ( ( apply @ B @ D )
= ( apply @ C @ D ) ) )
& ! [D: $i] :
( ( in @ D @ ( relation_dom @ B ) )
<=> ( ( in @ ( apply @ C @ D ) @ A )
& ( in @ D @ ( relation_dom @ C ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [D: $i,C: $i,A: $i] :
( ( zip_tseitin_1 @ D @ C @ A )
<=> ( ( in @ D @ ( relation_dom @ C ) )
& ( in @ ( apply @ C @ D ) @ A ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [D: $i,C: $i,B: $i] :
( ( zip_tseitin_0 @ D @ C @ B )
<=> ( ( in @ D @ ( relation_dom @ B ) )
=> ( ( apply @ B @ D )
= ( apply @ C @ D ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( B
= ( relation_rng_restriction @ A @ C ) )
<=> ( ! [D: $i] :
( ( in @ D @ ( relation_dom @ B ) )
<=> ( zip_tseitin_1 @ D @ C @ A ) )
& ! [D: $i] : ( zip_tseitin_0 @ D @ C @ B ) ) ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X2
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( zip_tseitin_0 @ X3 @ X0 @ X2 )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( ( apply @ X1 @ X0 )
= ( apply @ X2 @ X0 ) )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( X1
!= ( relation_rng_restriction @ X2 @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( ( apply @ X1 @ X3 )
= ( apply @ X0 @ X3 ) )
| ~ ( in @ X3 @ ( relation_dom @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl62,zip_derived_cl54]) ).
thf(zip_derived_cl495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( relation_dom @ ( relation_rng_restriction @ X1 @ X0 ) ) )
| ( ( apply @ ( relation_rng_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ X2 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( function @ ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( relation @ ( relation_rng_restriction @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl385]) ).
thf(zip_derived_cl21_001,plain,
! [X0: $i,X1: $i] :
( ( function @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[fc5_funct_1]) ).
thf(zip_derived_cl1006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( ( apply @ ( relation_rng_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ X2 ) )
| ~ ( in @ X2 @ ( relation_dom @ ( relation_rng_restriction @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl495,zip_derived_cl21]) ).
thf(zip_derived_cl11_002,plain,
! [X0: $i,X1: $i] :
( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[dt_k8_relat_1]) ).
thf(zip_derived_cl1007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( relation_dom @ ( relation_rng_restriction @ X1 @ X0 ) ) )
| ( ( apply @ ( relation_rng_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ X2 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1006,zip_derived_cl11]) ).
thf(d8_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ ( relation_dom @ A ) )
& ( in @ C @ ( relation_dom @ A ) )
& ( ( apply @ A @ B )
= ( apply @ A @ C ) ) )
=> ( B = C ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( ( apply @ X0 @ ( sk_ @ X0 ) )
= ( apply @ X0 @ ( sk__1 @ X0 ) ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(t99_funct_1,conjecture,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( one_to_one @ B )
=> ( one_to_one @ ( relation_rng_restriction @ A @ B ) ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( one_to_one @ B )
=> ( one_to_one @ ( relation_rng_restriction @ A @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t99_funct_1]) ).
thf(zip_derived_cl68,plain,
~ ( one_to_one @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl404,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( ( apply @ ( relation_rng_restriction @ sk__15 @ sk__16 ) @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
= ( apply @ ( relation_rng_restriction @ sk__15 @ sk__16 ) @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl68]) ).
thf(zip_derived_cl1021,plain,
( ( ( apply @ ( relation_rng_restriction @ sk__15 @ sk__16 ) @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
= ( apply @ sk__16 @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 )
| ~ ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1007,zip_derived_cl404]) ).
thf(zip_derived_cl67,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl66,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1033,plain,
( ( ( apply @ ( relation_rng_restriction @ sk__15 @ sk__16 ) @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
= ( apply @ sk__16 @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) )
| ~ ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1021,zip_derived_cl67,zip_derived_cl66]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ ( relation_dom @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl68_003,plain,
~ ( one_to_one @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl406,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl68]) ).
thf(zip_derived_cl2197,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( ( apply @ ( relation_rng_restriction @ sk__15 @ sk__16 ) @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
= ( apply @ sk__16 @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1033,zip_derived_cl406]) ).
thf(zip_derived_cl1007_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( relation_dom @ ( relation_rng_restriction @ X1 @ X0 ) ) )
| ( ( apply @ ( relation_rng_restriction @ X1 @ X0 ) @ X2 )
= ( apply @ X0 @ X2 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1006,zip_derived_cl11]) ).
thf(zip_derived_cl2208,plain,
( ( ( apply @ sk__16 @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
= ( apply @ sk__16 @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 )
| ~ ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2197,zip_derived_cl1007]) ).
thf(zip_derived_cl67_005,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl66_006,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2221,plain,
( ( ( apply @ sk__16 @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
= ( apply @ sk__16 @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2208,zip_derived_cl67,zip_derived_cl66]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( in @ ( sk_ @ X0 ) @ ( relation_dom @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl68_007,plain,
~ ( one_to_one @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl408,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl68]) ).
thf(zip_derived_cl2231,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( ( apply @ sk__16 @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
= ( apply @ sk__16 @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2221,zip_derived_cl408]) ).
thf(zip_derived_cl69,plain,
one_to_one @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( one_to_one @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ X0 ) )
| ~ ( in @ X2 @ ( relation_dom @ X0 ) )
| ( ( apply @ X0 @ X1 )
!= ( apply @ X0 @ X2 ) )
| ( X1 = X2 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl413,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__16 )
| ~ ( function @ sk__16 )
| ( X0 = X1 )
| ( ( apply @ sk__16 @ X0 )
!= ( apply @ sk__16 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__16 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__16 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl10]) ).
thf(zip_derived_cl66_008,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl67_009,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl529,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( apply @ sk__16 @ X0 )
!= ( apply @ sk__16 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__16 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl413,zip_derived_cl66,zip_derived_cl67]) ).
thf(zip_derived_cl2242,plain,
! [X0: $i] :
( ( ( apply @ sk__16 @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
!= ( apply @ sk__16 @ X0 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ sk__16 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__16 ) )
| ( ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2231,zip_derived_cl529]) ).
thf(zip_derived_cl406_010,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl68]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X2
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ( zip_tseitin_1 @ X3 @ X0 @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X2 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( relation_dom @ X1 ) )
| ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X1 ) )
| ( X1
!= ( relation_rng_restriction @ X2 @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( in @ X3 @ ( relation_dom @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl57]) ).
thf(zip_derived_cl504,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_rng_restriction @ sk__15 @ sk__16 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl406,zip_derived_cl390]) ).
thf(zip_derived_cl508,plain,
! [X0: $i,X1: $i] :
( ( ( relation_rng_restriction @ sk__15 @ sk__16 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ X0 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl504]) ).
thf(zip_derived_cl557,plain,
( ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ sk__16 ) )
| ~ ( relation @ sk__16 )
| ~ ( function @ sk__16 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl508]) ).
thf(zip_derived_cl66_011,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl67_012,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl558,plain,
( ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl557,zip_derived_cl66,zip_derived_cl67]) ).
thf(zip_derived_cl2258,plain,
! [X0: $i] :
( ( ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
= X0 )
| ~ ( in @ X0 @ ( relation_dom @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( ( apply @ sk__16 @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
!= ( apply @ sk__16 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2242,zip_derived_cl558]) ).
thf(zip_derived_cl2260,plain,
( ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ sk__16 ) )
| ( ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
= ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2258]) ).
thf(zip_derived_cl408_013,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl68]) ).
thf(zip_derived_cl390_014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X1 ) )
| ( X1
!= ( relation_rng_restriction @ X2 @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( in @ X3 @ ( relation_dom @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl57]) ).
thf(zip_derived_cl511,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_rng_restriction @ sk__15 @ sk__16 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl390]) ).
thf(zip_derived_cl515,plain,
! [X0: $i,X1: $i] :
( ( ( relation_rng_restriction @ sk__15 @ sk__16 )
!= ( relation_rng_restriction @ X1 @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ X0 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl511]) ).
thf(zip_derived_cl626,plain,
( ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ sk__16 ) )
| ~ ( relation @ sk__16 )
| ~ ( function @ sk__16 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl515]) ).
thf(zip_derived_cl66_015,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl67_016,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl627,plain,
( ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( in @ ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) @ ( relation_dom @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl626,zip_derived_cl66,zip_derived_cl67]) ).
thf(zip_derived_cl2262,plain,
( ( ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
= ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2260,zip_derived_cl627]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
!= ( sk__1 @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl68_017,plain,
~ ( one_to_one @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl402,plain,
( ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ( ( sk_ @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
!= ( sk__1 @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl68]) ).
thf(zip_derived_cl2263,plain,
( ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) )
| ~ ( relation @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2262,zip_derived_cl402]) ).
thf(zip_derived_cl2267,plain,
( ~ ( relation @ sk__16 )
| ~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl2263]) ).
thf(zip_derived_cl66_018,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2269,plain,
~ ( function @ ( relation_rng_restriction @ sk__15 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl2267,zip_derived_cl66]) ).
thf(zip_derived_cl2275,plain,
( ~ ( relation @ sk__16 )
| ~ ( function @ sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl2269]) ).
thf(zip_derived_cl66_019,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl67_020,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2276,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2275,zip_derived_cl66,zip_derived_cl67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU048+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.4Hs7ORIbza true
% 0.14/0.35 % Computer : n012.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 15:17:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.16 % Solved by fo/fo3_bce.sh.
% 1.29/1.16 % BCE start: 70
% 1.29/1.16 % BCE eliminated: 2
% 1.29/1.16 % PE start: 68
% 1.29/1.16 logic: eq
% 1.29/1.16 % PE eliminated: -2
% 1.29/1.16 % done 485 iterations in 0.387s
% 1.29/1.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/1.16 % SZS output start Refutation
% See solution above
% 1.29/1.16
% 1.29/1.16
% 1.29/1.16 % Terminating...
% 1.71/1.29 % Runner terminated.
% 1.71/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------