%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET764^4 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PsYkjcWtkI true
% Computer : n009.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 Oct 2 04:52:48 PM UTC 2025
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 14 ( 3 ~; 0 |; 3 &; 8 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 22 ( 12 ^; 5 !; 5 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(fun_inv_image_type,type,
fun_inv_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(emptyset_type,type,
emptyset: $i > $o ).
thf(fun_inv_image,axiom,
( fun_inv_image
= ( ^ [F: $i > $i,B: $i > $o,X: $i] :
? [Y: $i] :
( ( Y
= ( F @ X ) )
& ( B @ Y ) ) ) ) ).
thf('0',plain,
( fun_inv_image
= ( ^ [F: $i > $i,B: $i > $o,X: $i] :
? [Y: $i] :
( ( Y
= ( F @ X ) )
& ( B @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_inv_image]) ).
thf('1',plain,
( fun_inv_image
= ( ^ [V_1: $i > $i,V_2: $i > $o,V_3: $i] :
? [X4: $i] :
( ( X4
= ( V_1 @ V_3 ) )
& ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(emptyset,axiom,
( emptyset
= ( ^ [X: $i] : $false ) ) ).
thf('2',plain,
( emptyset
= ( ^ [X: $i] : $false ) ),
inference(simplify_rw_rule,[status(thm)],[emptyset]) ).
thf('3',plain,
( emptyset
= ( ^ [V_1: $i] : $false ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [F: $i > $i] :
( ( fun_inv_image @ F @ emptyset )
= emptyset ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i,V_2: $i] :
~ ? [X6: $i] : $false ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i,V_2: $i] :
~ ? [X6: $i] : $false,
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
$false,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET764^4 : TPTP v9.2.0. Released v3.6.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PsYkjcWtkI true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:11:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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 HO mode
% 0.59/0.70 % Total configuration time : 828
% 0.59/0.70 % Estimated wc time : 1656
% 0.59/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.61/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.82 % Solved by lams/40_c.s.sh.
% 0.61/0.82 % done 0 iterations in 0.015s
% 0.61/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.82 % SZS output start Refutation
% See solution above
% 0.61/0.82
% 0.61/0.82
% 0.61/0.82 % Terminating...
% 1.96/0.93 % Runner terminated.
% 1.96/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------