%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO379^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7HNjjrAnRZ true
% Computer : n005.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 05:07:20 PM UTC 2025
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 29 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 12 ~; 3 |; 7 &; 17 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% ( 0 !!; 5 ??; 0 @@+; 0 @@-)
% Number of variables : 35 ( 19 ^; 8 !; 8 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_type,type,
c: $i ).
thf(cQDP1_type,type,
cQDP1: ( $i > $o ) > $o ).
thf(cQDP0_type,type,
cQDP0: $i > $o ).
thf(cQDP1_def,axiom,
( cQDP1
= ( ^ [Xz: $i > $o] :
( ( Xz = cQDP0 )
& ? [Xt: $i] : ( Xz @ Xt ) ) ) ) ).
thf(cQDP0_def,axiom,
( cQDP0
= ( ^ [Xz: $i] : ( Xz = c ) ) ) ).
thf('0',plain,
( cQDP0
= ( ^ [Xz: $i] : ( Xz = c ) ) ),
inference(simplify_rw_rule,[status(thm)],[cQDP0_def]) ).
thf('1',plain,
( cQDP0
= ( ^ [V_1: $i] : ( V_1 = c ) ) ),
define([status(thm)]) ).
thf('2',plain,
( cQDP1
= ( ^ [Xz: $i > $o] :
( ( Xz = cQDP0 )
& ? [Xt: $i] : ( Xz @ Xt ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cQDP1_def,'1']) ).
thf('3',plain,
( cQDP1
= ( ^ [V_1: $i > $o] :
( ( V_1 = cQDP0 )
& ? [X4: $i] : ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(cQDTHM1,conjecture,
? [Xs: $i > $o] : ( cQDP1 @ Xs ) ).
thf(zf_stmt_0,conjecture,
? [X4: $i > $o] :
( ? [X6: $i] : ( X4 @ X6 )
& ( X4
= ( ^ [V_1: $i] : ( V_1 = c ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ? [X4: $i > $o] :
( ? [X6: $i] : ( X4 @ X6 )
& ( X4
= ( ^ [V_1: $i] : ( V_1 = c ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ??
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
& ( Y0
= ( ^ [Y1: $i] : ( Y1 = c ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i > $o] :
~ ( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
& ( X2
= ( ^ [Y0: $i] : ( Y0 = c ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ( X2
!= ( ^ [Y0: $i] : ( Y0 = c ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ( X2
!= ( ^ [Y0: $i] : ( Y0 = c ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( X2 @ X4 )
| ( X2
!= ( ^ [Y0: $i] : ( Y0 = c ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
~ ( ^ [Y0: $i] : ( Y0 = c )
@ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] : ( X0 != c ),
inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] : ( X0 != c ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO379^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7HNjjrAnRZ true
% 0.13/0.34 % Computer : n005.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 18:07:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.57/0.67 % Total configuration time : 828
% 0.57/0.67 % Estimated wc time : 1656
% 0.57/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.76 % Solved by lams/35_full_unif4.sh.
% 0.58/0.76 % done 0 iterations in 0.007s
% 0.58/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.76 % SZS output start Refutation
% See solution above
% 0.58/0.76
% 0.58/0.76
% 0.58/0.76 % Terminating...
% 1.87/0.87 % Runner terminated.
% 1.87/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------