%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET747^4 : 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.ffqGCMS1Ha true
% Computer : n024.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 04:52:46 PM UTC 2025
% Result : Theorem 0.91s 0.76s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 9 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 142 ( 6 ~; 2 |; 3 &; 116 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 58 ( 21 ^; 37 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(fun_increasing_type,type,
fun_increasing: ( $i > $i ) > ( $i > $i > $o ) > $o ).
thf(fun_decreasing_type,type,
fun_decreasing: ( $i > $i ) > ( $i > $i > $o ) > $o ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(fun_composition_type,type,
fun_composition: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(fun_increasing,axiom,
( fun_increasing
= ( ^ [F: $i > $i,SMALLER: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( SMALLER @ X @ Y )
=> ( SMALLER @ ( F @ X ) @ ( F @ Y ) ) ) ) ) ).
thf('0',plain,
( fun_increasing
= ( ^ [F: $i > $i,SMALLER: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( SMALLER @ X @ Y )
=> ( SMALLER @ ( F @ X ) @ ( F @ Y ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_increasing]) ).
thf('1',plain,
( fun_increasing
= ( ^ [V_1: $i > $i,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_2 @ X4 @ X6 )
=> ( V_2 @ ( V_1 @ X4 ) @ ( V_1 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(fun_decreasing,axiom,
( fun_decreasing
= ( ^ [F: $i > $i,SMALLER: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( SMALLER @ X @ Y )
=> ( SMALLER @ ( F @ Y ) @ ( F @ X ) ) ) ) ) ).
thf('2',plain,
( fun_decreasing
= ( ^ [F: $i > $i,SMALLER: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( SMALLER @ X @ Y )
=> ( SMALLER @ ( F @ Y ) @ ( F @ X ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_decreasing]) ).
thf('3',plain,
( fun_decreasing
= ( ^ [V_1: $i > $i,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_2 @ X4 @ X6 )
=> ( V_2 @ ( V_1 @ X6 ) @ ( V_1 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(fun_composition,axiom,
( fun_composition
= ( ^ [F: $i > $i,G: $i > $i,X: $i] : ( G @ ( F @ X ) ) ) ) ).
thf('4',plain,
( fun_composition
= ( ^ [F: $i > $i,G: $i > $i,X: $i] : ( G @ ( F @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[fun_composition]) ).
thf('5',plain,
( fun_composition
= ( ^ [V_1: $i > $i,V_2: $i > $i,V_3: $i] : ( V_2 @ ( V_1 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [F: $i > $i,G: $i > $i,LESS: $i > $i > $o] :
( ( ( fun_increasing @ F @ LESS )
& ( fun_decreasing @ G @ LESS ) )
=> ( fun_decreasing @ ( fun_composition @ F @ G ) @ LESS ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i,X6: $i > $i,X8: $i > $i > $o] :
( ( ! [X10: $i,X12: $i] :
( ( X8 @ X10 @ X12 )
=> ( X8 @ ( X4 @ X10 ) @ ( X4 @ X12 ) ) )
& ! [X14: $i,X16: $i] :
( ( X8 @ X14 @ X16 )
=> ( X8 @ ( X6 @ X16 ) @ ( X6 @ X14 ) ) ) )
=> ! [X18: $i,X20: $i] :
( ( X8 @ X18 @ X20 )
=> ( X8 @ ( X6 @ ( X4 @ X20 ) ) @ ( X6 @ ( X4 @ X18 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i,X6: $i > $i,X8: $i > $i > $o] :
( ( ! [X10: $i,X12: $i] :
( ( X8 @ X10 @ X12 )
=> ( X8 @ ( X4 @ X10 ) @ ( X4 @ X12 ) ) )
& ! [X14: $i,X16: $i] :
( ( X8 @ X14 @ X16 )
=> ( X8 @ ( X6 @ X16 ) @ ( X6 @ X14 ) ) ) )
=> ! [X18: $i,X20: $i] :
( ( X8 @ X18 @ X20 )
=> ( X8 @ ( X6 @ ( X4 @ X20 ) ) @ ( X6 @ ( X4 @ X18 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( sk__12 @ ( sk__10 @ X0 ) @ ( sk__10 @ X1 ) )
| ~ ( sk__12 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i] :
( ( sk__12 @ ( sk__11 @ X2 ) @ ( sk__11 @ X3 ) )
| ~ ( sk__12 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( sk__12 @ ( sk__11 @ ( sk__10 @ sk__14 ) ) @ ( sk__11 @ ( sk__10 @ sk__13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( sk__12 @ ( sk__10 @ sk__13 ) @ ( sk__10 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( sk__12 @ sk__13 @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
sk__12 @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET747^4 : TPTP v9.2.0. Released v3.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ffqGCMS1Ha true
% 0.13/0.34 % Computer : n024.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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:15:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.57/0.62 % Total configuration time : 828
% 0.57/0.62 % Estimated wc time : 1656
% 0.57/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.91/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.91/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.91/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.91/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.91/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.91/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.91/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.91/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.91/0.76 % Solved by lams/40_c.s.sh.
% 0.91/0.76 % done 4 iterations in 0.017s
% 0.91/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.91/0.76 % SZS output start Refutation
% See solution above
% 0.91/0.76
% 0.91/0.76
% 0.91/0.76 % Terminating...
% 1.00/0.83 % Runner terminated.
% 1.00/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------