TSTP Solution File: GEO094+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO094+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.r2RZnwsWTE true
% Computer : n018.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 : Wed Aug 30 23:56:33 EDT 2023
% Result : Theorem 1.35s 0.93s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 23 unt; 10 typ; 0 def)
% Number of atoms : 115 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 369 ( 48 ~; 44 |; 13 &; 255 @)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 66 ( 0 ^; 65 !; 1 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(incident_c_type,type,
incident_c: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(meet_type,type,
meet: $i > $i > $i > $o ).
thf(end_point_type,type,
end_point: $i > $i > $o ).
thf(part_of_type,type,
part_of: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(inner_point_type,type,
inner_point: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(c3,axiom,
! [C: $i] :
? [P: $i] : ( inner_point @ P @ C ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] : ( inner_point @ ( sk__7 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[c3]) ).
thf(inner_point_defn,axiom,
! [P: $i,C: $i] :
( ( inner_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ~ ( end_point @ P @ C ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( incident_c @ X0 @ X1 )
| ~ ( inner_point @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[inner_point_defn]) ).
thf(zip_derived_cl309,plain,
! [X0: $i] : ( incident_c @ ( sk__7 @ X0 ) @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl17]) ).
thf(proposition_2_14_3,conjecture,
! [C: $i,C1: $i,C2: $i,P: $i] :
( ( ( meet @ P @ C1 @ C2 )
& ( part_of @ C1 @ C )
& ( part_of @ C2 @ C ) )
=> ~ ( end_point @ P @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [C: $i,C1: $i,C2: $i,P: $i] :
( ( ( meet @ P @ C1 @ C2 )
& ( part_of @ C1 @ C )
& ( part_of @ C2 @ C ) )
=> ~ ( end_point @ P @ C ) ),
inference('cnf.neg',[status(esa)],[proposition_2_14_3]) ).
thf(zip_derived_cl43,plain,
end_point @ sk__16 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
meet @ sk__16 @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(meet_defn,axiom,
! [P: $i,C: $i,C1: $i] :
( ( meet @ P @ C @ C1 )
<=> ( ( incident_c @ P @ C )
& ( incident_c @ P @ C1 )
& ! [Q: $i] :
( ( ( incident_c @ Q @ C )
& ( incident_c @ Q @ C1 ) )
=> ( ( end_point @ Q @ C )
& ( end_point @ Q @ C1 ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_c @ X0 @ X1 )
| ~ ( meet @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[meet_defn]) ).
thf(zip_derived_cl317,plain,
incident_c @ sk__16 @ sk__15,
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl21]) ).
thf(zip_derived_cl44_001,plain,
meet @ sk__16 @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_c @ X0 @ X1 )
| ~ ( meet @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[meet_defn]) ).
thf(zip_derived_cl316,plain,
incident_c @ sk__16 @ sk__14,
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl20]) ).
thf(end_point_defn,axiom,
! [P: $i,C: $i] :
( ( end_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ! [C1: $i,C2: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( incident_c @ P @ C1 )
& ( incident_c @ P @ C2 ) )
=> ( ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 ) ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( part_of @ X0 @ X1 )
| ( part_of @ X1 @ X0 )
| ~ ( incident_c @ X2 @ X0 )
| ~ ( part_of @ X0 @ X3 )
| ~ ( part_of @ X1 @ X3 )
| ~ ( incident_c @ X2 @ X1 )
| ~ ( end_point @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[end_point_defn]) ).
thf(zip_derived_cl388,plain,
! [X0: $i,X1: $i] :
( ( part_of @ sk__14 @ X0 )
| ( part_of @ X0 @ sk__14 )
| ~ ( part_of @ sk__14 @ X1 )
| ~ ( part_of @ X0 @ X1 )
| ~ ( incident_c @ sk__16 @ X0 )
| ~ ( end_point @ sk__16 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl10]) ).
thf(zip_derived_cl583,plain,
! [X0: $i] :
( ( part_of @ sk__14 @ sk__15 )
| ( part_of @ sk__15 @ sk__14 )
| ~ ( part_of @ sk__14 @ X0 )
| ~ ( part_of @ sk__15 @ X0 )
| ~ ( end_point @ sk__16 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl388]) ).
thf(zip_derived_cl745,plain,
( ( part_of @ sk__14 @ sk__15 )
| ( part_of @ sk__15 @ sk__14 )
| ~ ( part_of @ sk__14 @ sk__13 )
| ~ ( part_of @ sk__15 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl583]) ).
thf(zip_derived_cl45,plain,
part_of @ sk__14 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
part_of @ sk__15 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl748,plain,
( ( part_of @ sk__14 @ sk__15 )
| ( part_of @ sk__15 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl745,zip_derived_cl45,zip_derived_cl46]) ).
thf(part_of_defn,axiom,
! [C: $i,C1: $i] :
( ( part_of @ C1 @ C )
<=> ! [P: $i] :
( ( incident_c @ P @ C1 )
=> ( incident_c @ P @ C ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( incident_c @ X0 @ X1 )
| ( incident_c @ X0 @ X2 )
| ~ ( part_of @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
thf(zip_derived_cl751,plain,
! [X0: $i] :
( ( part_of @ sk__14 @ sk__15 )
| ~ ( incident_c @ X0 @ sk__15 )
| ( incident_c @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl748,zip_derived_cl0]) ).
thf(zip_derived_cl1127,plain,
( ( part_of @ sk__14 @ sk__15 )
| ( incident_c @ ( sk__7 @ sk__15 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl751]) ).
thf(zip_derived_cl44_002,plain,
meet @ sk__16 @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( incident_c @ X0 @ X1 )
| ~ ( incident_c @ X0 @ X2 )
| ( end_point @ X0 @ X2 )
| ~ ( meet @ X3 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[meet_defn]) ).
thf(zip_derived_cl429,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ sk__14 )
| ~ ( incident_c @ X0 @ sk__15 )
| ( end_point @ X0 @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl22]) ).
thf(zip_derived_cl33_003,plain,
! [X0: $i] : ( inner_point @ ( sk__7 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[c3]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( end_point @ X0 @ X1 )
| ~ ( inner_point @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[inner_point_defn]) ).
thf(zip_derived_cl310,plain,
! [X0: $i] :
~ ( end_point @ ( sk__7 @ X0 ) @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl18]) ).
thf(zip_derived_cl510,plain,
( ~ ( incident_c @ ( sk__7 @ sk__15 ) @ sk__15 )
| ~ ( incident_c @ ( sk__7 @ sk__15 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl310]) ).
thf(zip_derived_cl309_004,plain,
! [X0: $i] : ( incident_c @ ( sk__7 @ X0 ) @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl17]) ).
thf(zip_derived_cl511,plain,
~ ( incident_c @ ( sk__7 @ sk__15 ) @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl510,zip_derived_cl309]) ).
thf(zip_derived_cl1160,plain,
part_of @ sk__14 @ sk__15,
inference(clc,[status(thm)],[zip_derived_cl1127,zip_derived_cl511]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( incident_c @ X0 @ X1 )
| ( incident_c @ X0 @ X2 )
| ~ ( part_of @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
thf(zip_derived_cl1161,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ sk__14 )
| ( incident_c @ X0 @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1160,zip_derived_cl0]) ).
thf(zip_derived_cl44_006,plain,
meet @ sk__16 @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( incident_c @ X0 @ X1 )
| ~ ( incident_c @ X0 @ X2 )
| ( end_point @ X0 @ X1 )
| ~ ( meet @ X3 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[meet_defn]) ).
thf(zip_derived_cl437,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ sk__14 )
| ~ ( incident_c @ X0 @ sk__15 )
| ( end_point @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl23]) ).
thf(zip_derived_cl310_007,plain,
! [X0: $i] :
~ ( end_point @ ( sk__7 @ X0 ) @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl18]) ).
thf(zip_derived_cl604,plain,
( ~ ( incident_c @ ( sk__7 @ sk__14 ) @ sk__15 )
| ~ ( incident_c @ ( sk__7 @ sk__14 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl310]) ).
thf(zip_derived_cl309_008,plain,
! [X0: $i] : ( incident_c @ ( sk__7 @ X0 ) @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl17]) ).
thf(zip_derived_cl605,plain,
~ ( incident_c @ ( sk__7 @ sk__14 ) @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl309]) ).
thf(zip_derived_cl1254,plain,
~ ( incident_c @ ( sk__7 @ sk__14 ) @ sk__14 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1161,zip_derived_cl605]) ).
thf(zip_derived_cl309_009,plain,
! [X0: $i] : ( incident_c @ ( sk__7 @ X0 ) @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl17]) ).
thf(zip_derived_cl1261,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1254,zip_derived_cl309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r2RZnwsWTE true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 19:12:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.93 % Solved by fo/fo6_bce.sh.
% 1.35/0.93 % BCE start: 47
% 1.35/0.93 % BCE eliminated: 0
% 1.35/0.93 % PE start: 47
% 1.35/0.93 logic: eq
% 1.35/0.93 % PE eliminated: 4
% 1.35/0.93 % done 187 iterations in 0.216s
% 1.35/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.93 % SZS output start Refutation
% See solution above
% 1.35/0.93
% 1.35/0.93
% 1.35/0.93 % Terminating...
% 1.62/1.05 % Runner terminated.
% 1.73/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------