TSTP Solution File: NUM016^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM016^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kSPTPeA9Ud true
% Computer : n025.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 12:38:58 EDT 2023
% Result : Theorem 0.20s 0.76s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 81 ( 0 equ; 0 cnn)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 273 ( 41 ~; 36 |; 22 &; 174 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 45 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(prime_divisor_type,type,
prime_divisor: $i > $i ).
thf(a_type,type,
a: $i ).
thf(less_type,type,
less: $i > $i > $o ).
thf(divides_type,type,
divides: $i > $i > $o ).
thf(prime_type,type,
prime: $i > $o ).
thf(factorial_plus_one_type,type,
factorial_plus_one: $i > $i ).
thf(cNUM016_1,conjecture,
~ ( ! [X: $i] :
~ ( less @ X @ X )
& ! [X: $i,Y: $i] :
( ~ ( less @ Y @ X )
| ~ ( less @ X @ Y ) )
& ! [X: $i] : ( divides @ X @ X )
& ! [X: $i,Y: $i,Z: $i] :
( ( divides @ X @ Z )
| ~ ( divides @ Y @ Z )
| ~ ( divides @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ Y @ X )
| ~ ( divides @ X @ Y ) )
& ! [X: $i] : ( less @ X @ ( factorial_plus_one @ X ) )
& ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ~ ( divides @ X @ ( factorial_plus_one @ Y ) ) )
& ! [X: $i] :
( ( divides @ ( prime_divisor @ X ) @ X )
| ( prime @ X ) )
& ! [X: $i] :
( ( prime @ ( prime_divisor @ X ) )
| ( prime @ X ) )
& ! [X: $i] :
( ( less @ ( prime_divisor @ X ) @ X )
| ( prime @ X ) )
& ( prime @ a )
& ! [X: $i] :
( ( less @ ( factorial_plus_one @ a ) @ X )
| ~ ( less @ a @ X )
| ~ ( prime @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ! [X: $i] :
~ ( less @ X @ X )
& ! [X: $i,Y: $i] :
( ~ ( less @ Y @ X )
| ~ ( less @ X @ Y ) )
& ! [X: $i] : ( divides @ X @ X )
& ! [X: $i,Y: $i,Z: $i] :
( ( divides @ X @ Z )
| ~ ( divides @ Y @ Z )
| ~ ( divides @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ Y @ X )
| ~ ( divides @ X @ Y ) )
& ! [X: $i] : ( less @ X @ ( factorial_plus_one @ X ) )
& ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ~ ( divides @ X @ ( factorial_plus_one @ Y ) ) )
& ! [X: $i] :
( ( divides @ ( prime_divisor @ X ) @ X )
| ( prime @ X ) )
& ! [X: $i] :
( ( prime @ ( prime_divisor @ X ) )
| ( prime @ X ) )
& ! [X: $i] :
( ( less @ ( prime_divisor @ X ) @ X )
| ( prime @ X ) )
& ( prime @ a )
& ! [X: $i] :
( ( less @ ( factorial_plus_one @ a ) @ X )
| ~ ( less @ a @ X )
| ~ ( prime @ X ) ) ),
inference('cnf.neg',[status(esa)],[cNUM016_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( less @ ( factorial_plus_one @ a ) @ X0 )
| ~ ( less @ a @ X0 )
| ~ ( prime @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X15: $i] :
~ ( less @ X15 @ X15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
( ~ ( prime @ ( factorial_plus_one @ a ) )
| ~ ( less @ a @ ( factorial_plus_one @ a ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl11]) ).
thf(zip_derived_cl6,plain,
! [X6: $i] : ( less @ X6 @ ( factorial_plus_one @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
~ ( prime @ ( factorial_plus_one @ a ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
! [X4: $i,X5: $i] :
( ( less @ X4 @ X5 )
| ~ ( divides @ X5 @ ( factorial_plus_one @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X3: $i] :
( ( divides @ ( prime_divisor @ X3 ) @ X3 )
| ( prime @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( less @ X0 @ ( prime_divisor @ ( factorial_plus_one @ X0 ) ) )
| ( prime @ ( factorial_plus_one @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( ( prime @ ( prime_divisor @ X2 ) )
| ( prime @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] :
( ( less @ ( factorial_plus_one @ a ) @ X0 )
| ~ ( less @ a @ X0 )
| ~ ( prime @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X1: $i] :
( ( less @ ( prime_divisor @ X1 ) @ X1 )
| ( prime @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X13: $i,X14: $i] :
( ~ ( less @ X13 @ X14 )
| ~ ( less @ X14 @ X13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( prime @ X0 )
| ~ ( less @ X0 @ ( prime_divisor @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).
thf(zip_derived_cl35,plain,
( ~ ( prime @ ( prime_divisor @ ( factorial_plus_one @ a ) ) )
| ~ ( less @ a @ ( prime_divisor @ ( factorial_plus_one @ a ) ) )
| ( prime @ ( factorial_plus_one @ a ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).
thf(zip_derived_cl28_002,plain,
~ ( prime @ ( factorial_plus_one @ a ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl6]) ).
thf(zip_derived_cl38,plain,
( ~ ( prime @ ( prime_divisor @ ( factorial_plus_one @ a ) ) )
| ~ ( less @ a @ ( prime_divisor @ ( factorial_plus_one @ a ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl28]) ).
thf(zip_derived_cl42,plain,
( ( prime @ ( factorial_plus_one @ a ) )
| ~ ( less @ a @ ( prime_divisor @ ( factorial_plus_one @ a ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl38]) ).
thf(zip_derived_cl28_003,plain,
~ ( prime @ ( factorial_plus_one @ a ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl6]) ).
thf(zip_derived_cl44,plain,
~ ( less @ a @ ( prime_divisor @ ( factorial_plus_one @ a ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl28]) ).
thf(zip_derived_cl72,plain,
prime @ ( factorial_plus_one @ a ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl44]) ).
thf(zip_derived_cl78,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM016^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kSPTPeA9Ud true
% 0.13/0.34 % Computer : n025.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 : Fri Aug 25 08:57:52 EDT 2023
% 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
% 0.20/0.62 % Total configuration time : 828
% 0.20/0.62 % Estimated wc time : 1656
% 0.20/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.76 % Solved by lams/40_c.s.sh.
% 0.20/0.76 % done 40 iterations in 0.021s
% 0.20/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.76 % SZS output start Refutation
% See solution above
% 0.20/0.76
% 0.20/0.76
% 0.20/0.76 % Terminating...
% 0.86/0.84 % Runner terminated.
% 0.86/0.85 % Zipperpin 1.5 exiting
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