TSTP Solution File: ITP026^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP026^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q13EB2XFBP true
% Computer : n021.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 Aug 31 05:21:42 EDT 2023
% Result : Theorem 27.40s 4.18s
% Output : Refutation 27.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 30
% Syntax : Number of formulae : 53 ( 18 unt; 14 typ; 0 def)
% Number of atoms : 81 ( 26 equ; 3 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 196 ( 14 ~; 4 |; 0 &; 143 @)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 9 con; 0-2 aty)
% ( 18 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 43 ( 19 ^; 23 !; 1 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(member_a_type,type,
member_a: a > set_a > $o ).
thf(g_type,type,
g: nat > a ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(xa_type,type,
xa: nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(h2_type,type,
h2: a ).
thf(m2_type,type,
m2: nat ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(h1_type,type,
h1: set_a ).
thf(minus_minus_nat_type,type,
minus_minus_nat: nat > nat > nat ).
thf(fact_220_minus__nat_Odiff__0,axiom,
! [M: nat] :
( ( minus_minus_nat @ M @ zero_zero_nat )
= M ) ).
thf(zip_derived_cl220,plain,
( !!
@ ^ [Y0: nat] :
( ( minus_minus_nat @ Y0 @ zero_zero_nat )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_220_minus__nat_Odiff__0]) ).
thf(zip_derived_cl613,plain,
! [X2: nat] :
( ( minus_minus_nat @ X2 @ zero_zero_nat )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl220]) ).
thf(zip_derived_cl614,plain,
! [X2: nat] :
( ( minus_minus_nat @ X2 @ zero_zero_nat )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl613]) ).
thf(fact_214_diff__le__self,axiom,
! [M: nat,N: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ M @ N ) @ M ) ).
thf(zip_derived_cl214,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ Y0 @ Y1 ) @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_214_diff__le__self]) ).
thf(zip_derived_cl1691,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ X2 @ Y0 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl1692,plain,
! [X2: nat,X4: nat] : ( ord_less_eq_nat @ ( minus_minus_nat @ X2 @ X4 ) @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1691]) ).
thf(zip_derived_cl1694,plain,
! [X0: nat] : ( ord_less_eq_nat @ X0 @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl614,zip_derived_cl1692]) ).
thf(conj_20,axiom,
( ( ( g @ xa )
= h2 )
| ( member_a @ ( g @ xa ) @ h1 ) ) ).
thf(zip_derived_cl369,plain,
( ( ( g @ xa )
= h2 )
| ( member_a @ ( g @ xa ) @ h1 ) ),
inference(cnf,[status(esa)],[conj_20]) ).
thf(conj_3,axiom,
( ( g @ m2 )
= h2 ) ).
thf(zip_derived_cl352,plain,
( ( g @ m2 )
= h2 ),
inference(cnf,[status(esa)],[conj_3]) ).
thf(conj_21,conjecture,
member_a @ ( g @ xa ) @ h1 ).
thf(zf_stmt_0,negated_conjecture,
~ ( member_a @ ( g @ xa ) @ h1 ),
inference('cnf.neg',[status(esa)],[conj_21]) ).
thf(zip_derived_cl370,plain,
~ ( member_a @ ( g @ xa ) @ h1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_135_nat__le__linear,axiom,
! [M: nat,N: nat] :
( ( ord_less_eq_nat @ M @ N )
| ( ord_less_eq_nat @ N @ M ) ) ).
thf(zip_derived_cl135,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
| ( ord_less_eq_nat @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_135_nat__le__linear]) ).
thf(conj_19,axiom,
ord_less_eq_nat @ xa @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ) ).
thf(zip_derived_cl368,plain,
ord_less_eq_nat @ xa @ ( minus_minus_nat @ m2 @ ( suc @ zero_zero_nat ) ),
inference(cnf,[status(esa)],[conj_19]) ).
thf(conj_1,axiom,
! [X4: nat] :
( ( ord_less_eq_nat @ X4 @ m2 )
=> ! [Y3: nat] :
( ( ord_less_eq_nat @ Y3 @ m2 )
=> ( ( ( g @ X4 )
= ( g @ Y3 ) )
=> ( X4 = Y3 ) ) ) ) ).
thf(zip_derived_cl350,plain,
( !!
@ ^ [Y0: nat] :
( ( ord_less_eq_nat @ Y0 @ m2 )
=> ( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ Y1 @ m2 )
=> ( ( ( g @ Y0 )
= ( g @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_159_Suc__n__not__le__n,axiom,
! [N: nat] :
~ ( ord_less_eq_nat @ ( suc @ N ) @ N ) ).
thf(zip_derived_cl159,plain,
( !!
@ ^ [Y0: nat] : ( (~) @ ( ord_less_eq_nat @ ( suc @ Y0 ) @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_159_Suc__n__not__le__n]) ).
thf(fact_38_Suc__pred,axiom,
! [N: nat] :
( ( ord_less_nat @ zero_zero_nat @ N )
=> ( ( suc @ ( minus_minus_nat @ N @ ( suc @ zero_zero_nat ) ) )
= N ) ) ).
thf(zip_derived_cl38,plain,
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ zero_zero_nat @ Y0 )
=> ( ( suc @ ( minus_minus_nat @ Y0 @ ( suc @ zero_zero_nat ) ) )
= Y0 ) ) ),
inference(cnf,[status(esa)],[fact_38_Suc__pred]) ).
thf(fact_158_not__less__eq__eq,axiom,
! [M: nat,N: nat] :
( ~ ( ord_less_eq_nat @ M @ N )
<=> ( ord_less_eq_nat @ ( suc @ N ) @ M ) ) ).
thf(zip_derived_cl158,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( (~) @ ( ord_less_eq_nat @ Y0 @ Y1 ) )
<=> ( ord_less_eq_nat @ ( suc @ Y1 ) @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_158_not__less__eq__eq]) ).
thf(conj_16,axiom,
ord_less_nat @ zero_zero_nat @ m2 ).
thf(zip_derived_cl365,plain,
ord_less_nat @ zero_zero_nat @ m2,
inference(cnf,[status(esa)],[conj_16]) ).
thf(fact_249_gr0__conv__Suc,axiom,
! [N: nat] :
( ( ord_less_nat @ zero_zero_nat @ N )
<=> ? [M6: nat] :
( N
= ( suc @ M6 ) ) ) ).
thf(zip_derived_cl249,plain,
( !!
@ ^ [Y0: nat] :
( ( ord_less_nat @ zero_zero_nat @ Y0 )
<=> ( ??
@ ^ [Y1: nat] :
( Y0
= ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_249_gr0__conv__Suc]) ).
thf(fact_181_nat_Odistinct_I1_J,axiom,
! [X22: nat] :
( zero_zero_nat
!= ( suc @ X22 ) ) ).
thf(zip_derived_cl181,plain,
( !!
@ ^ [Y0: nat] :
( zero_zero_nat
!= ( suc @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_181_nat_Odistinct_I1_J]) ).
thf(fact_171_old_Onat_Oexhaust,axiom,
! [Y4: nat] :
( ( Y4 != zero_zero_nat )
=> ~ ! [Nat3: nat] :
( Y4
!= ( suc @ Nat3 ) ) ) ).
thf(zip_derived_cl171,plain,
( !!
@ ^ [Y0: nat] :
( ( Y0 != zero_zero_nat )
=> ( (~)
@ ( !!
@ ^ [Y1: nat] :
( Y0
!= ( suc @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_171_old_Onat_Oexhaust]) ).
thf(fact_139_Suc__inject,axiom,
! [X: nat,Y4: nat] :
( ( ( suc @ X )
= ( suc @ Y4 ) )
=> ( X = Y4 ) ) ).
thf(zip_derived_cl139,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ( suc @ Y0 )
= ( suc @ Y1 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_139_Suc__inject]) ).
thf(zip_derived_cl4140,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl1694,zip_derived_cl369,zip_derived_cl352,zip_derived_cl370,zip_derived_cl135,zip_derived_cl368,zip_derived_cl350,zip_derived_cl159,zip_derived_cl38,zip_derived_cl158,zip_derived_cl365,zip_derived_cl249,zip_derived_cl181,zip_derived_cl171,zip_derived_cl139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP026^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q13EB2XFBP true
% 0.13/0.34 % Computer : n021.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 : Sun Aug 27 11:34:27 EDT 2023
% 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.59/0.89 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 27.40/4.18 % Solved by lams/15_e_short1.sh.
% 27.40/4.18 % done 198 iterations in 3.379s
% 27.40/4.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.40/4.18 % SZS output start Refutation
% See solution above
% 27.40/4.18
% 27.40/4.18
% 27.40/4.18 % Terminating...
% 28.18/4.35 % Runner terminated.
% 28.18/4.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------