%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP225_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WUYukOkWji true
% Computer : n010.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 04:39:20 PM UTC 2025
% Result : Theorem 9.17s 1.96s
% Output : Refutation 9.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 19 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 148 ( 15 ~; 8 |; 0 &; 121 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(fun_nat_nat_type,type,
fun_nat_nat: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(fun_nat_bool_type,type,
fun_nat_bool: $tType ).
thf(fun_nat_fun_nat_bool_type,type,
fun_nat_fun_nat_bool: $tType ).
thf(ord_less_nat_type,type,
ord_less_nat: fun_nat_fun_nat_bool ).
thf(aa_nat_fun_nat_bool_type,type,
aa_nat_fun_nat_bool: fun_nat_fun_nat_bool > nat > fun_nat_bool ).
thf(suc_type,type,
suc: fun_nat_nat ).
thf(pp_type,type,
pp: bool > $o ).
thf(m_type,type,
m: nat ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(aa_nat_nat_type,type,
aa_nat_nat: fun_nat_nat > nat > nat ).
thf(na_type,type,
na: nat ).
thf(aa_nat_bool_type,type,
aa_nat_bool: fun_nat_bool > nat > bool ).
thf(fact_4__C3_Ohyps_C_I3_J,axiom,
( m
= ( aa_nat_nat @ suc @ na ) ) ).
thf(zip_derived_cl7,plain,
( m
= ( aa_nat_nat @ suc @ na ) ),
inference(cnf,[status(esa)],[fact_4__C3_Ohyps_C_I3_J]) ).
thf(fact_0_bot__nat__0_Onot__eq__extremum,axiom,
! [A: nat] :
( ( A != zero_zero_nat )
<=> ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ zero_zero_nat ) @ A ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ zero_zero_nat ) @ X0 ) )
| ( X0 = zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_0_bot__nat__0_Onot__eq__extremum]) ).
thf(conj_0,conjecture,
pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ zero_zero_nat ) @ m ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ zero_zero_nat ) @ m ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl347,plain,
~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ zero_zero_nat ) @ m ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl350,plain,
m = zero_zero_nat,
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl347]) ).
thf(zip_derived_cl351,plain,
( zero_zero_nat
= ( aa_nat_nat @ suc @ na ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl350]) ).
thf(zip_derived_cl351_001,plain,
( zero_zero_nat
= ( aa_nat_nat @ suc @ na ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl350]) ).
thf(zip_derived_cl0_002,plain,
! [X0: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ zero_zero_nat ) @ X0 ) )
| ( X0 = zero_zero_nat ) ),
inference(cnf,[status(esa)],[fact_0_bot__nat__0_Onot__eq__extremum]) ).
thf(fact_13_Suc__less__eq,axiom,
! [M: nat,N: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ ( aa_nat_nat @ suc @ M ) ) @ ( aa_nat_nat @ suc @ N ) ) )
<=> ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ M ) @ N ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: nat,X1: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ ( aa_nat_nat @ suc @ X0 ) ) @ ( aa_nat_nat @ suc @ X1 ) ) )
| ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_13_Suc__less__eq]) ).
thf(fact_10_gr__implies__not0,axiom,
! [M: nat,N: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ M ) @ N ) )
=> ( N != zero_zero_nat ) ) ).
thf(zip_derived_cl14,plain,
! [X0: nat,X1: nat] :
( ( X0 != zero_zero_nat )
| ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_10_gr__implies__not0]) ).
thf(zip_derived_cl443,plain,
! [X0: nat,X1: nat] :
( ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X1 ) @ X0 ) )
| ( ( aa_nat_nat @ suc @ X0 )
!= zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl14]) ).
thf(zip_derived_cl465,plain,
! [X0: nat] :
( ( X0 = zero_zero_nat )
| ( ( aa_nat_nat @ suc @ X0 )
!= zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl443]) ).
thf(zip_derived_cl491,plain,
( ( zero_zero_nat != zero_zero_nat )
| ( na = zero_zero_nat ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl465]) ).
thf(zip_derived_cl495,plain,
na = zero_zero_nat,
inference(simplify,[status(thm)],[zip_derived_cl491]) ).
thf(zip_derived_cl497,plain,
( zero_zero_nat
= ( aa_nat_nat @ suc @ zero_zero_nat ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl495]) ).
thf(fact_15_lessI,axiom,
! [N: nat] : ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ N ) @ ( aa_nat_nat @ suc @ N ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: nat] : ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X0 ) @ ( aa_nat_nat @ suc @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_15_lessI]) ).
thf(zip_derived_cl656,plain,
pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ zero_zero_nat ) @ zero_zero_nat ),
inference('sup+',[status(thm)],[zip_derived_cl497,zip_derived_cl18]) ).
thf(fact_90_less__not__refl3,axiom,
! [S: nat,T: nat] :
( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ S ) @ T ) )
=> ( S != T ) ) ).
thf(zip_derived_cl103,plain,
! [X0: nat,X1: nat] :
( ( X1 != X0 )
| ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_90_less__not__refl3]) ).
thf(zip_derived_cl348,plain,
! [X0: nat] :
~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_nat @ X0 ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl689,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP225_1 : TPTP v9.2.0. Released v8.0.0.
% 0.11/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WUYukOkWji true
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 15:35:23 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % 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
% 1.03/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.11/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.11/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.17/1.96 % Solved by fo/fo4.sh.
% 9.17/1.96 % done 191 iterations in 1.143s
% 9.17/1.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.17/1.96 % SZS output start Refutation
% See solution above
% 9.17/1.96
% 9.17/1.96
% 9.17/1.96 % Terminating...
% 9.76/2.15 % Runner terminated.
% 9.76/2.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------