TSTP Solution File: ITP132^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP132^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.btgxcDDGAt true
% Computer : n006.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 05:22:23 EDT 2023
% Result : Theorem 26.96s 4.09s
% Output : Refutation 26.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 20
% Syntax : Number of formulae : 28 ( 12 unt; 14 typ; 0 def)
% Number of atoms : 26 ( 13 equ; 1 cnn)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 183 ( 8 ~; 0 |; 2 &; 164 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 12 usr; 7 con; 0-4 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 23 ( 20 ^; 3 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(set_nat_type,type,
set_nat: $tType ).
thf(p_type,type,
p: nat > nat ).
thf(minus_minus_nat_type,type,
minus_minus_nat: nat > nat > nat ).
thf(groups1842438620at_nat_type,type,
groups1842438620at_nat: ( nat > nat ) > set_nat > nat ).
thf(times_times_nat_type,type,
times_times_nat: nat > nat > nat ).
thf(k_type,type,
k: nat ).
thf(zero_zero_nat_type,type,
zero_zero_nat: nat ).
thf(one_one_nat_type,type,
one_one_nat: nat ).
thf(fun_upd_nat_nat_type,type,
fun_upd_nat_nat: ( nat > nat ) > nat > nat > nat > nat ).
thf(n_type,type,
n: nat ).
thf(number1551313001itions_type,type,
number1551313001itions: ( nat > nat ) > nat > $o ).
thf(set_ord_atMost_nat_type,type,
set_ord_atMost_nat: nat > set_nat ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(fact_0_partitions,axiom,
number1551313001itions @ p @ n ).
thf(zip_derived_cl0,plain,
number1551313001itions @ p @ n,
inference(cnf,[status(esa)],[fact_0_partitions]) ).
thf(conj_0,conjecture,
( ( minus_minus_nat
@ ( groups1842438620at_nat
@ ^ [I: nat] : ( times_times_nat @ ( p @ I ) @ I )
@ ( set_ord_atMost_nat @ n ) )
@ k )
= ( minus_minus_nat @ n @ k ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( minus_minus_nat
@ ( groups1842438620at_nat
@ ^ [I: nat] : ( times_times_nat @ ( p @ I ) @ I )
@ ( set_ord_atMost_nat @ n ) )
@ k )
!= ( minus_minus_nat @ n @ k ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl244,plain,
( ( minus_minus_nat
@ ( groups1842438620at_nat
@ ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 )
@ ( set_ord_atMost_nat @ n ) )
@ k )
!= ( minus_minus_nat @ n @ k ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_171_mult_Ocommute,axiom,
( times_times_nat
= ( ^ [A4: nat,B4: nat] : ( times_times_nat @ B4 @ A4 ) ) ) ).
thf(zip_derived_cl171,plain,
( times_times_nat
= ( ^ [Y0: nat,Y1: nat] : ( times_times_nat @ Y1 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_171_mult_Ocommute]) ).
thf(fact_4_calculation,axiom,
( ( groups1842438620at_nat
@ ^ [I: nat] : ( times_times_nat @ ( fun_upd_nat_nat @ p @ k @ ( minus_minus_nat @ ( p @ k ) @ one_one_nat ) @ I ) @ I )
@ ( set_ord_atMost_nat @ ( minus_minus_nat @ n @ k ) ) )
= ( minus_minus_nat
@ ( groups1842438620at_nat
@ ^ [I: nat] : ( times_times_nat @ ( p @ I ) @ I )
@ ( set_ord_atMost_nat @ n ) )
@ k ) ) ).
thf(zip_derived_cl4,plain,
( ( groups1842438620at_nat
@ ^ [Y0: nat] : ( times_times_nat @ ( fun_upd_nat_nat @ p @ k @ ( minus_minus_nat @ ( p @ k ) @ one_one_nat ) @ Y0 ) @ Y0 )
@ ( set_ord_atMost_nat @ ( minus_minus_nat @ n @ k ) ) )
= ( minus_minus_nat
@ ( groups1842438620at_nat
@ ^ [Y0: nat] : ( times_times_nat @ ( p @ Y0 ) @ Y0 )
@ ( set_ord_atMost_nat @ n ) )
@ k ) ),
inference(cnf,[status(esa)],[fact_4_calculation]) ).
thf(fact_3__092_060open_062_I_092_060Sum_062i_092_060le_062n_A_N_Ak_O_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_Ai_A_K_Ai_J_A_061_A_I_092_060Sum_062i_092_060le_062n_O_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_Ai_A_K_Ai_J_092_060close_062,axiom,
( ( groups1842438620at_nat
@ ^ [I: nat] : ( times_times_nat @ ( fun_upd_nat_nat @ p @ k @ ( minus_minus_nat @ ( p @ k ) @ one_one_nat ) @ I ) @ I )
@ ( set_ord_atMost_nat @ ( minus_minus_nat @ n @ k ) ) )
= ( groups1842438620at_nat
@ ^ [I: nat] : ( times_times_nat @ ( fun_upd_nat_nat @ p @ k @ ( minus_minus_nat @ ( p @ k ) @ one_one_nat ) @ I ) @ I )
@ ( set_ord_atMost_nat @ n ) ) ) ).
thf(zip_derived_cl3,plain,
( ( groups1842438620at_nat
@ ^ [Y0: nat] : ( times_times_nat @ ( fun_upd_nat_nat @ p @ k @ ( minus_minus_nat @ ( p @ k ) @ one_one_nat ) @ Y0 ) @ Y0 )
@ ( set_ord_atMost_nat @ ( minus_minus_nat @ n @ k ) ) )
= ( groups1842438620at_nat
@ ^ [Y0: nat] : ( times_times_nat @ ( fun_upd_nat_nat @ p @ k @ ( minus_minus_nat @ ( p @ k ) @ one_one_nat ) @ Y0 ) @ Y0 )
@ ( set_ord_atMost_nat @ n ) ) ),
inference(cnf,[status(esa)],[fact_3__092_060open_062_I_092_060Sum_062i_092_060le_062n_A_N_Ak_O_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_Ai_A_K_Ai_J_A_061_A_I_092_060Sum_062i_092_060le_062n_O_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_Ai_A_K_Ai_J_092_060close_062]) ).
thf(fact_63_partitionsE,axiom,
! [P2: nat > nat,N2: nat] :
( ( number1551313001itions @ P2 @ N2 )
=> ~ ( ! [I4: nat] :
( ( ( P2 @ I4 )
!= zero_zero_nat )
=> ( ( ord_less_eq_nat @ I4 @ N2 )
& ( ord_less_eq_nat @ one_one_nat @ I4 ) ) )
=> ( ( groups1842438620at_nat
@ ^ [I: nat] : ( times_times_nat @ ( P2 @ I ) @ I )
@ ( set_ord_atMost_nat @ N2 ) )
!= N2 ) ) ) ).
thf(zip_derived_cl63,plain,
( !!
@ ^ [Y0: nat > nat] :
( !!
@ ^ [Y1: nat] :
( ( number1551313001itions @ Y0 @ Y1 )
=> ( (~)
@ ( ( !!
@ ^ [Y2: nat] :
( ( ( Y0 @ Y2 )
!= zero_zero_nat )
=> ( ( ord_less_eq_nat @ Y2 @ Y1 )
& ( ord_less_eq_nat @ one_one_nat @ Y2 ) ) ) )
=> ( ( groups1842438620at_nat
@ ^ [Y2: nat] : ( times_times_nat @ ( Y0 @ Y2 ) @ Y2 )
@ ( set_ord_atMost_nat @ Y1 ) )
!= Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_63_partitionsE]) ).
thf(zip_derived_cl7420,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl244,zip_derived_cl171,zip_derived_cl4,zip_derived_cl3,zip_derived_cl63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP132^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.btgxcDDGAt true
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 12:24:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.81 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 26.96/4.09 % Solved by lams/15_e_short1.sh.
% 26.96/4.09 % done 339 iterations in 3.298s
% 26.96/4.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.96/4.09 % SZS output start Refutation
% See solution above
% 26.96/4.09
% 26.96/4.09
% 26.96/4.09 % Terminating...
% 27.43/4.17 % Runner terminated.
% 27.43/4.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------