%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM637^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Em4WdzmzUU true
% Computer : n017.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 04:47:45 PM UTC 2025
% Result : Theorem 0.26s 0.88s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 23 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 26 ~; 9 |; 1 &; 24 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 4 ^; 13 !; 2 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(one_type,type,
one: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: ( $i > $o ) > $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(induction,axiom,
! [M: $i > $o] :
( ( ( M @ one )
& ! [X: $i] :
( ( M @ X )
=> ( M @ ( succ @ X ) ) ) )
=> ! [Y: $i] : ( M @ Y ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i > $o,X1: $i] :
( ( X0 @ X1 )
| ~ ( X0 @ ( succ @ ( sk_ @ X0 ) ) )
| ~ ( X0 @ one ) ),
inference(cnf,[status(esa)],[induction]) ).
thf(zip_derived_cl126,plain,
! [X0: $i] :
( ( ^ [Y0: $i] : ( X0 != Y0 )
@ X0 )
| ~ ( ^ [Y0: $i] : ( X0 != Y0 )
@ ( succ
@ ( sk_
@ ^ [Y0: $i] : ( X0 != Y0 ) ) ) )
| ~ ( ^ [Y0: $i] : ( X0 != Y0 )
@ one ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl163,plain,
! [X0: $i] :
( ( X0 != X0 )
| ~ ( ( X0
!= ( succ @ ( sk_ @ ( $i != X0 ) ) ) ) )
| ~ ( ( X0 != one ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ~ ( ( X0
!= ( succ @ ( sk_ @ ( $i != X0 ) ) ) ) )
| ~ ( ( X0 != one ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl163]) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( X0
= ( succ @ ( sk_ @ ( $i != X0 ) ) ) )
| ( X0 = one ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl164]) ).
thf(satz3,conjecture,
! [X: $i] :
( ( X != one )
=> ? [U: $i] :
( X
= ( succ @ U ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i] :
( ( X != one )
=> ? [U: $i] :
( X
= ( succ @ U ) ) ),
inference('cnf.neg',[status(esa)],[satz3]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( sk__1
!= ( succ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl251,plain,
! [X0: $i] :
( ( sk__1 != X0 )
| ( X0 = one ) ),
inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl5]) ).
thf(zip_derived_cl268,plain,
sk__1 = one,
inference(simplify,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl4,plain,
sk__1 != one,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl269,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl268,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.16 % Problem : NUM637^2 : TPTP v9.2.0. Released v3.7.0.
% 0.09/0.18 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Em4WdzmzUU true
% 0.09/0.41 % Computer : n017.cluster.edu
% 0.09/0.41 % Model : x86_64 x86_64
% 0.09/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.41 % Memory : 8042.1875MB
% 0.09/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.41 % CPULimit : 300
% 0.09/0.41 % WCLimit : 300
% 0.09/0.41 % DateTime : Wed Oct 1 16:16:53 EDT 2025
% 0.09/0.41 % CPUTime :
% 0.09/0.41 % Running portfolio for 300 s
% 0.09/0.41 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41 % Number of cores: 8
% 0.09/0.43 % Python version: Python 3.6.8
% 0.09/0.43 % Running in HO mode
% 0.26/0.63 % Total configuration time : 828
% 0.26/0.63 % Estimated wc time : 1656
% 0.26/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.26/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.26/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.26/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.26/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.26/0.82 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.26/0.84 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.26/0.85 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.26/0.85 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.26/0.88 % Solved by lams/40_c_ic.sh.
% 0.26/0.88 % done 25 iterations in 0.040s
% 0.26/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.26/0.88 % SZS output start Refutation
% See solution above
% 0.26/0.88
% 0.26/0.88
% 0.26/0.88 % Terminating...
% 1.20/1.09 % Runner terminated.
% 1.20/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------