TSTP Solution File: GEO112+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO112+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.6K0u5vskKx true
% Computer : n029.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 23:56:41 EDT 2023
% Result : Theorem 0.56s 0.83s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 15 unt; 10 typ; 0 def)
% Number of atoms : 79 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 339 ( 39 ~; 35 |; 5 &; 256 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 65 ( 0 ^; 64 !; 1 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(incident_c_type,type,
incident_c: $i > $i > $o ).
thf(end_point_type,type,
end_point: $i > $i > $o ).
thf(part_of_type,type,
part_of: $i > $i > $o ).
thf(between_c_type,type,
between_c: $i > $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i > $i > $i > $i ).
thf(inner_point_type,type,
inner_point: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(theorem_3_8_2,conjecture,
! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
=> ( between_c @ C @ R @ Q @ P ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
=> ( between_c @ C @ R @ Q @ P ) ),
inference('cnf.neg',[status(esa)],[theorem_3_8_2]) ).
thf(zip_derived_cl49,plain,
between_c @ sk__14 @ sk__15 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(between_c_defn,axiom,
! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
<=> ( ( P != R )
& ? [Cpp: $i] :
( ( inner_point @ Q @ Cpp )
& ( end_point @ R @ Cpp )
& ( end_point @ P @ Cpp )
& ( part_of @ Cpp @ C ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inner_point @ X0 @ ( sk__13 @ X1 @ X0 @ X2 @ X3 ) )
| ~ ( between_c @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[between_c_defn]) ).
thf(inner_point_defn,axiom,
! [P: $i,C: $i] :
( ( inner_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ~ ( end_point @ P @ C ) ) ) ).
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_cl346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( between_c @ X0 @ X1 @ X2 @ X3 )
| ~ ( end_point @ X2 @ ( sk__13 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl18]) ).
thf(zip_derived_cl358,plain,
~ ( end_point @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl346]) ).
thf(zip_derived_cl49_001,plain,
between_c @ sk__14 @ sk__15 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( end_point @ X0 @ ( sk__13 @ X0 @ X1 @ X2 @ X3 ) )
| ~ ( between_c @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[between_c_defn]) ).
thf(zip_derived_cl353,plain,
end_point @ sk__17 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl46]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( inner_point @ X0 @ X1 )
| ( end_point @ X0 @ X1 )
| ~ ( incident_c @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[inner_point_defn]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( between_c @ X0 @ X1 @ X2 @ X3 )
| ~ ( part_of @ X4 @ X0 )
| ~ ( end_point @ X1 @ X4 )
| ~ ( end_point @ X3 @ X4 )
| ~ ( inner_point @ X2 @ X4 )
| ( X1 = X3 ) ),
inference(cnf,[status(esa)],[between_c_defn]) ).
thf(zip_derived_cl349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( incident_c @ X1 @ X0 )
| ( end_point @ X1 @ X0 )
| ( X3 = X2 )
| ~ ( end_point @ X2 @ X0 )
| ~ ( end_point @ X3 @ X0 )
| ~ ( part_of @ X0 @ X4 )
| ( between_c @ X4 @ X3 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl48]) ).
thf(zip_derived_cl50,plain,
~ ( between_c @ sk__14 @ sk__17 @ sk__16 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl363,plain,
! [X0: $i] :
( ~ ( part_of @ X0 @ sk__14 )
| ~ ( end_point @ sk__17 @ X0 )
| ~ ( end_point @ sk__15 @ X0 )
| ( sk__17 = sk__15 )
| ( end_point @ sk__16 @ X0 )
| ~ ( incident_c @ sk__16 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl349,zip_derived_cl50]) ).
thf(zip_derived_cl49_002,plain,
between_c @ sk__14 @ sk__15 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ~ ( between_c @ X2 @ X1 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[between_c_defn]) ).
thf(zip_derived_cl350,plain,
sk__15 != sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl43]) ).
thf(zip_derived_cl820,plain,
! [X0: $i] :
( ~ ( part_of @ X0 @ sk__14 )
| ~ ( end_point @ sk__17 @ X0 )
| ~ ( end_point @ sk__15 @ X0 )
| ( end_point @ sk__16 @ X0 )
| ~ ( incident_c @ sk__16 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl363,zip_derived_cl350]) ).
thf(zip_derived_cl822,plain,
( ~ ( incident_c @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) )
| ( end_point @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) )
| ~ ( end_point @ sk__15 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) )
| ~ ( part_of @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl820]) ).
thf(zip_derived_cl49_003,plain,
between_c @ sk__14 @ sk__15 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inner_point @ X0 @ ( sk__13 @ X1 @ X0 @ X2 @ X3 ) )
| ~ ( between_c @ X3 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[between_c_defn]) ).
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_cl345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( between_c @ X0 @ X1 @ X2 @ X3 )
| ( incident_c @ X2 @ ( sk__13 @ X3 @ X2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl17]) ).
thf(zip_derived_cl357,plain,
incident_c @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl345]) ).
thf(zip_derived_cl49_005,plain,
between_c @ sk__14 @ sk__15 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( end_point @ X0 @ ( sk__13 @ X1 @ X2 @ X0 @ X3 ) )
| ~ ( between_c @ X3 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[between_c_defn]) ).
thf(zip_derived_cl352,plain,
end_point @ sk__15 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl45]) ).
thf(zip_derived_cl49_006,plain,
between_c @ sk__14 @ sk__15 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( part_of @ ( sk__13 @ X0 @ X1 @ X2 @ X3 ) @ X3 )
| ~ ( between_c @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[between_c_defn]) ).
thf(zip_derived_cl351,plain,
part_of @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) @ sk__14,
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl44]) ).
thf(zip_derived_cl823,plain,
end_point @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl822,zip_derived_cl357,zip_derived_cl352,zip_derived_cl351]) ).
thf(zip_derived_cl825,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl823]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6K0u5vskKx true
% 0.13/0.34 % Computer : n029.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 : Tue Aug 29 20:46:12 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.83 % Solved by fo/fo3_bce.sh.
% 0.56/0.83 % BCE start: 51
% 0.56/0.83 % BCE eliminated: 0
% 0.56/0.83 % PE start: 51
% 0.56/0.83 logic: eq
% 0.56/0.83 % PE eliminated: -1
% 0.56/0.83 % done 187 iterations in 0.117s
% 0.56/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.83 % SZS output start Refutation
% See solution above
% 0.56/0.83
% 0.56/0.83
% 0.56/0.83 % Terminating...
% 1.55/0.93 % Runner terminated.
% 1.57/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------