TSTP Solution File: MGT058+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT058+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8urSnxO6Ka true
% Computer : n008.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 09:20:36 EDT 2023
% Result : Theorem 0.23s 0.75s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 78 ( 24 unt; 14 typ; 0 def)
% Number of atoms : 132 ( 28 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 338 ( 53 ~; 47 |; 10 &; 217 @)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 41 !; 2 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(greater_type,type,
greater: $i > $i > $o ).
thf(sigma_type,type,
sigma: $i ).
thf(positional_advantage_type,type,
positional_advantage: $i > $i > $o ).
thf(organization_type,type,
organization: $i > $o ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(fragile_position_type,type,
fragile_position: $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(tau_type,type,
tau: $i ).
thf(robust_position_type,type,
robust_position: $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(age_type,type,
age: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(lemma_10,conjecture,
! [X: $i] :
( ( ( organization @ X )
& ? [T0: $i] :
( ( age @ X @ T0 )
= zero )
& ( greater_or_equal @ sigma @ zero )
& ( greater_or_equal @ tau @ zero ) )
=> ~ ( ( fragile_position @ X )
& ( robust_position @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i] :
( ( ( organization @ X )
& ? [T0: $i] :
( ( age @ X @ T0 )
= zero )
& ( greater_or_equal @ sigma @ zero )
& ( greater_or_equal @ tau @ zero ) )
=> ~ ( ( fragile_position @ X )
& ( robust_position @ X ) ) ),
inference('cnf.neg',[status(esa)],[lemma_10]) ).
thf(zip_derived_cl25,plain,
( ( age @ sk__2 @ sk__3 )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
greater_or_equal @ sigma @ zero,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(definition_greater_or_equal,axiom,
! [X: $i,Y: $i] :
( ( greater_or_equal @ X @ Y )
<=> ( ( greater @ X @ Y )
| ( X = Y ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( greater @ X1 @ X0 )
| ~ ( greater_or_equal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[definition_greater_or_equal]) ).
thf(zip_derived_cl158,plain,
( ( greater @ sigma @ zero )
| ( sigma = zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl3]) ).
thf(definition_smaller,axiom,
! [X: $i,Y: $i] :
( ( smaller @ X @ Y )
<=> ( greater @ Y @ X ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( smaller @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[definition_smaller]) ).
thf(definition_smaller_or_equal,axiom,
! [X: $i,Y: $i] :
( ( smaller_or_equal @ X @ Y )
<=> ( ( smaller @ X @ Y )
| ( X = Y ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( smaller_or_equal @ X0 @ X1 )
| ~ ( smaller @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[definition_smaller_or_equal]) ).
thf(zip_derived_cl162,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( smaller_or_equal @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl25_001,plain,
( ( age @ sk__2 @ sk__3 )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(definition_3,axiom,
! [X: $i] :
( ( fragile_position @ X )
<=> ! [T: $i] :
( ( ( greater @ ( age @ X @ T ) @ sigma )
=> ~ ( positional_advantage @ X @ T ) )
& ( ( smaller_or_equal @ ( age @ X @ T ) @ sigma )
=> ( positional_advantage @ X @ T ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( smaller_or_equal @ ( age @ X0 @ X1 ) @ sigma )
| ( positional_advantage @ X0 @ X1 )
| ~ ( fragile_position @ X0 ) ),
inference(cnf,[status(esa)],[definition_3]) ).
thf(zip_derived_cl227,plain,
( ~ ( smaller_or_equal @ zero @ sigma )
| ( positional_advantage @ sk__2 @ sk__3 )
| ~ ( fragile_position @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
fragile_position @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,plain,
( ~ ( smaller_or_equal @ zero @ sigma )
| ( positional_advantage @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl24]) ).
thf(zip_derived_cl238,plain,
( ~ ( greater @ sigma @ zero )
| ( positional_advantage @ sk__2 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl228]) ).
thf(zip_derived_cl247,plain,
( ( sigma = zero )
| ( positional_advantage @ sk__2 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl238]) ).
thf(zip_derived_cl28,plain,
greater_or_equal @ tau @ zero,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( greater @ X1 @ X0 )
| ~ ( greater_or_equal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[definition_greater_or_equal]) ).
thf(zip_derived_cl159,plain,
( ( greater @ tau @ zero )
| ( tau = zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl3]) ).
thf(zip_derived_cl162_003,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( smaller_or_equal @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl25_004,plain,
( ( age @ sk__2 @ sk__3 )
= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(definition_4,axiom,
! [X: $i] :
( ( robust_position @ X )
<=> ! [T: $i] :
( ( ( greater @ ( age @ X @ T ) @ tau )
=> ( positional_advantage @ X @ T ) )
& ( ( smaller_or_equal @ ( age @ X @ T ) @ tau )
=> ~ ( positional_advantage @ X @ T ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( smaller_or_equal @ ( age @ X0 @ X1 ) @ tau )
| ~ ( positional_advantage @ X0 @ X1 )
| ~ ( robust_position @ X0 ) ),
inference(cnf,[status(esa)],[definition_4]) ).
thf(zip_derived_cl230,plain,
( ~ ( smaller_or_equal @ zero @ tau )
| ~ ( positional_advantage @ sk__2 @ sk__3 )
| ~ ( robust_position @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
robust_position @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
( ~ ( smaller_or_equal @ zero @ tau )
| ~ ( positional_advantage @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl23]) ).
thf(zip_derived_cl239,plain,
( ~ ( greater @ tau @ zero )
| ~ ( positional_advantage @ sk__2 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl231]) ).
thf(zip_derived_cl240,plain,
( ( tau = zero )
| ~ ( positional_advantage @ sk__2 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl239]) ).
thf(zip_derived_cl248,plain,
( ( sigma = zero )
| ( tau = zero ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl240]) ).
thf(zip_derived_cl231_005,plain,
( ~ ( smaller_or_equal @ zero @ tau )
| ~ ( positional_advantage @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl23]) ).
thf(zip_derived_cl257,plain,
( ( sigma = zero )
| ~ ( smaller_or_equal @ tau @ tau )
| ~ ( positional_advantage @ sk__2 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl231]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( smaller_or_equal @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[definition_smaller_or_equal]) ).
thf(zip_derived_cl218,plain,
! [X0: $i] : ( smaller_or_equal @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl262,plain,
( ( sigma = zero )
| ~ ( positional_advantage @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl218]) ).
thf(zip_derived_cl247_006,plain,
( ( sigma = zero )
| ( positional_advantage @ sk__2 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl238]) ).
thf(zip_derived_cl278,plain,
sigma = zero,
inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl247]) ).
thf(zip_derived_cl279,plain,
( ( age @ sk__2 @ sk__3 )
= sigma ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl278]) ).
thf(zip_derived_cl18_007,plain,
! [X0: $i,X1: $i] :
( ~ ( smaller_or_equal @ ( age @ X0 @ X1 ) @ tau )
| ~ ( positional_advantage @ X0 @ X1 )
| ~ ( robust_position @ X0 ) ),
inference(cnf,[status(esa)],[definition_4]) ).
thf(zip_derived_cl313,plain,
( ~ ( smaller_or_equal @ sigma @ tau )
| ~ ( positional_advantage @ sk__2 @ sk__3 )
| ~ ( robust_position @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl18]) ).
thf(zip_derived_cl228_008,plain,
( ~ ( smaller_or_equal @ zero @ sigma )
| ( positional_advantage @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl24]) ).
thf(zip_derived_cl278_009,plain,
sigma = zero,
inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl247]) ).
thf(zip_derived_cl218_010,plain,
! [X0: $i] : ( smaller_or_equal @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl284,plain,
positional_advantage @ sk__2 @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl278,zip_derived_cl218]) ).
thf(zip_derived_cl23_011,plain,
robust_position @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl319,plain,
~ ( smaller_or_equal @ sigma @ tau ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl284,zip_derived_cl23]) ).
thf(zip_derived_cl159_012,plain,
( ( greater @ tau @ zero )
| ( tau = zero ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl3]) ).
thf(zip_derived_cl278_013,plain,
sigma = zero,
inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl247]) ).
thf(zip_derived_cl278_014,plain,
sigma = zero,
inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl247]) ).
thf(zip_derived_cl280,plain,
( ( greater @ tau @ sigma )
| ( tau = sigma ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl278,zip_derived_cl278]) ).
thf(zip_derived_cl279_015,plain,
( ( age @ sk__2 @ sk__3 )
= sigma ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl278]) ).
thf(zip_derived_cl162_016,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ( smaller_or_equal @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl18_017,plain,
! [X0: $i,X1: $i] :
( ~ ( smaller_or_equal @ ( age @ X0 @ X1 ) @ tau )
| ~ ( positional_advantage @ X0 @ X1 )
| ~ ( robust_position @ X0 ) ),
inference(cnf,[status(esa)],[definition_4]) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ tau @ ( age @ X1 @ X0 ) )
| ~ ( positional_advantage @ X1 @ X0 )
| ~ ( robust_position @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl18]) ).
thf(zip_derived_cl315,plain,
( ~ ( greater @ tau @ sigma )
| ~ ( positional_advantage @ sk__2 @ sk__3 )
| ~ ( robust_position @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl237]) ).
thf(zip_derived_cl284_018,plain,
positional_advantage @ sk__2 @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl278,zip_derived_cl218]) ).
thf(zip_derived_cl23_019,plain,
robust_position @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl322,plain,
~ ( greater @ tau @ sigma ),
inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl284,zip_derived_cl23]) ).
thf(zip_derived_cl327,plain,
tau = sigma,
inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl322]) ).
thf(zip_derived_cl218_020,plain,
! [X0: $i] : ( smaller_or_equal @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl345,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl327,zip_derived_cl218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : MGT058+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8urSnxO6Ka true
% 0.18/0.36 % Computer : n008.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Mon Aug 28 06:38:32 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37 % Number of cores: 8
% 0.18/0.37 % Python version: Python 3.6.8
% 0.18/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % Solved by fo/fo6_bce.sh.
% 0.23/0.75 % BCE start: 29
% 0.23/0.75 % BCE eliminated: 2
% 0.23/0.75 % PE start: 27
% 0.23/0.75 logic: eq
% 0.23/0.75 % PE eliminated: 4
% 0.23/0.75 % done 59 iterations in 0.031s
% 0.23/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.75 % SZS output start Refutation
% See solution above
% 0.23/0.75
% 0.23/0.75
% 0.23/0.75 % Terminating...
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.87 % Runner terminated.
% 0.23/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------