TSTP Solution File: SEU077+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU077+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wf86nhi04n true
% Computer : n001.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 19:10:24 EDT 2023
% Result : Theorem 2.53s 0.95s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 13 unt; 13 typ; 0 def)
% Number of atoms : 155 ( 24 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 593 ( 55 ~; 82 |; 8 &; 436 @)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 83 ( 0 ^; 82 !; 1 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(t158_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( subset @ ( relation_inverse_image @ C @ A ) @ ( relation_inverse_image @ C @ B ) )
& ( subset @ A @ ( relation_rng @ C ) ) )
=> ( subset @ A @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( subset @ ( relation_inverse_image @ C @ A ) @ ( relation_inverse_image @ C @ B ) )
& ( subset @ A @ ( relation_rng @ C ) ) )
=> ( subset @ A @ B ) ) ),
inference('cnf.neg',[status(esa)],[t158_funct_1]) ).
thf(zip_derived_cl36,plain,
~ ( subset @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl35,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
subset @ sk__9 @ ( relation_rng @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X2 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 @ sk__9 ) @ ( relation_rng @ sk__11 ) )
| ( subset @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl75]) ).
thf(d5_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( C
= ( apply @ A @ D ) )
& ( in @ D @ ( relation_dom @ A ) ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( X2
= ( apply @ X0 @ ( sk__4 @ X2 @ X0 ) ) )
| ~ ( in @ X2 @ X1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__9 @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( sk__1 @ X0 @ sk__9 )
= ( apply @ X1 @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ X1 ) ) )
| ( ( relation_rng @ sk__11 )
!= ( relation_rng @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl14]) ).
thf(zip_derived_cl237,plain,
! [X0: $i] :
( ( ( relation_rng @ sk__11 )
!= ( relation_rng @ sk__11 ) )
| ( ( sk__1 @ X0 @ sk__9 )
= ( apply @ sk__11 @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) ) )
| ~ ( function @ sk__11 )
| ( subset @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl106]) ).
thf(zip_derived_cl34,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl241,plain,
! [X0: $i] :
( ( ( relation_rng @ sk__11 )
!= ( relation_rng @ sk__11 ) )
| ( ( sk__1 @ X0 @ sk__9 )
= ( apply @ sk__11 @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) ) )
| ( subset @ sk__9 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl34]) ).
thf(zip_derived_cl242,plain,
! [X0: $i] :
( ( subset @ sk__9 @ X0 )
| ( ( sk__1 @ X0 @ sk__9 )
= ( apply @ sk__11 @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl241]) ).
thf(d13_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_inverse_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( relation_dom @ A ) )
& ( in @ ( apply @ A @ D ) @ B ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ ( apply @ X0 @ X3 ) @ X1 )
| ~ ( in @ X3 @ X2 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_funct_1]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X2 @ ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ ( apply @ X0 @ X2 ) @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl32,plain,
subset @ ( relation_inverse_image @ sk__11 @ sk__9 ) @ ( relation_inverse_image @ sk__11 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl242_002,plain,
! [X0: $i] :
( ( subset @ sk__9 @ X0 )
| ( ( sk__1 @ X0 @ sk__9 )
= ( apply @ sk__11 @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl241]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ X3 @ X2 )
| ~ ( in @ ( apply @ X0 @ X3 ) @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_funct_1]) ).
thf(zip_derived_cl253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__1 @ X0 @ sk__9 ) @ X1 )
| ( subset @ sk__9 @ X0 )
| ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 )
| ~ ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ ( relation_dom @ sk__11 ) )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ X2 )
| ( X2
!= ( relation_inverse_image @ sk__11 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl7]) ).
thf(zip_derived_cl35_003,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34_004,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__1 @ X0 @ sk__9 ) @ X1 )
| ( subset @ sk__9 @ X0 )
| ~ ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ ( relation_dom @ sk__11 ) )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ X2 )
| ( X2
!= ( relation_inverse_image @ sk__11 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl35,zip_derived_cl34]) ).
thf(zip_derived_cl35_005,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_006,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 @ sk__9 ) @ ( relation_rng @ sk__11 ) )
| ( subset @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl75]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ ( sk__4 @ X2 @ X0 ) @ ( relation_dom @ X0 ) )
| ~ ( in @ X2 @ X1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__9 @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ X1 ) @ ( relation_dom @ X1 ) )
| ( ( relation_rng @ sk__11 )
!= ( relation_rng @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl15]) ).
thf(zip_derived_cl167,plain,
! [X0: $i] :
( ( ( relation_rng @ sk__11 )
!= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ ( relation_dom @ sk__11 ) )
| ~ ( function @ sk__11 )
| ( subset @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl107]) ).
thf(zip_derived_cl34_007,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ( ( relation_rng @ sk__11 )
!= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ ( relation_dom @ sk__11 ) )
| ( subset @ sk__9 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl34]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ( subset @ sk__9 @ X0 )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ ( relation_dom @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl171]) ).
thf(zip_derived_cl529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( relation_inverse_image @ sk__11 @ X1 ) )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ X2 )
| ( subset @ sk__9 @ X0 )
| ~ ( in @ ( sk__1 @ X0 @ sk__9 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl255,zip_derived_cl172]) ).
thf(zip_derived_cl530,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__9 @ X0 )
| ( subset @ sk__9 @ X0 )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ X1 )
| ( X1
!= ( relation_inverse_image @ sk__11 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl529]) ).
thf(zip_derived_cl532,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( relation_inverse_image @ sk__11 @ sk__9 ) )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ X1 )
| ( subset @ sk__9 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl530]) ).
thf(zip_derived_cl534,plain,
! [X0: $i] :
( ( subset @ sk__9 @ X0 )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ ( relation_inverse_image @ sk__11 @ sk__9 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl532]) ).
thf(zip_derived_cl8_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl536,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__9 @ X0 )
| ~ ( subset @ ( relation_inverse_image @ sk__11 @ sk__9 ) @ X1 )
| ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl8]) ).
thf(zip_derived_cl581,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) @ ( relation_inverse_image @ sk__11 @ sk__10 ) )
| ( subset @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl536]) ).
thf(zip_derived_cl590,plain,
! [X0: $i] :
( ( in @ ( apply @ sk__11 @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) ) @ sk__10 )
| ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 )
| ( subset @ sk__9 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl96,zip_derived_cl581]) ).
thf(zip_derived_cl34_009,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35_010,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl591,plain,
! [X0: $i] :
( ( in @ ( apply @ sk__11 @ ( sk__4 @ ( sk__1 @ X0 @ sk__9 ) @ sk__11 ) ) @ sk__10 )
| ( subset @ sk__9 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl590,zip_derived_cl34,zip_derived_cl35]) ).
thf(zip_derived_cl726,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 @ sk__9 ) @ sk__10 )
| ( subset @ sk__9 @ X0 )
| ( subset @ sk__9 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl591]) ).
thf(zip_derived_cl727,plain,
! [X0: $i] :
( ( subset @ sk__9 @ X0 )
| ( in @ ( sk__1 @ X0 @ sk__9 ) @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl726]) ).
thf(zip_derived_cl734,plain,
( ( subset @ sk__9 @ sk__10 )
| ( subset @ sk__9 @ sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl727]) ).
thf(zip_derived_cl735,plain,
subset @ sk__9 @ sk__10,
inference(simplify,[status(thm)],[zip_derived_cl734]) ).
thf(zip_derived_cl738,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl735]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU077+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wf86nhi04n true
% 0.14/0.35 % Computer : n001.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 18:47:09 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
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.53/0.95 % Solved by fo/fo4.sh.
% 2.53/0.95 % done 284 iterations in 0.165s
% 2.53/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.53/0.95 % SZS output start Refutation
% See solution above
% 2.53/0.95
% 2.53/0.95
% 2.53/0.95 % Terminating...
% 3.28/1.12 % Runner terminated.
% 3.28/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------