TSTP Solution File: GEO111+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO111+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.iUoi6ecVHm 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 0.54s 0.82s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 64 ( 28 unt; 10 typ; 0 def)
% Number of atoms : 108 ( 24 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 377 ( 35 ~; 27 |; 19 &; 288 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 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 : 58 ( 0 ^; 57 !; 1 ?; 58 :)
% 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_1,conjecture,
! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
=> ( ( incident_c @ P @ C )
& ( incident_c @ Q @ C )
& ( incident_c @ R @ C )
& ( P != Q )
& ( Q != R )
& ( P != R ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
=> ( ( incident_c @ P @ C )
& ( incident_c @ Q @ C )
& ( incident_c @ R @ C )
& ( P != Q )
& ( Q != R )
& ( P != R ) ) ),
inference('cnf.neg',[status(esa)],[theorem_3_8_1]) ).
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_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_cl348,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(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_cl364,plain,
~ ( inner_point @ sk__15 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl18]) ).
thf(zip_derived_cl50,plain,
( ~ ( incident_c @ sk__15 @ sk__14 )
| ~ ( incident_c @ sk__16 @ sk__14 )
| ~ ( incident_c @ sk__17 @ sk__14 )
| ( sk__15 = sk__16 )
| ( sk__16 = sk__17 )
| ( sk__15 = sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl348_001,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(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_cl9,plain,
! [X0: $i,X1: $i] :
( ( incident_c @ X0 @ X1 )
| ~ ( end_point @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[end_point_defn]) ).
thf(zip_derived_cl363,plain,
incident_c @ sk__15 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('s_sup-',[status(thm)],[zip_derived_cl348,zip_derived_cl9]) ).
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_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_cl347,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(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_cl352,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) )
| ( incident_c @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl0]) ).
thf(zip_derived_cl454,plain,
incident_c @ sk__15 @ sk__14,
inference('s_sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl352]) ).
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,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_cl350,plain,
inner_point @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl47]) ).
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_cl434,plain,
incident_c @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl17]) ).
thf(zip_derived_cl352_004,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) )
| ( incident_c @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl0]) ).
thf(zip_derived_cl462,plain,
incident_c @ sk__16 @ sk__14,
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl352]) ).
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_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_cl349,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_cl9_006,plain,
! [X0: $i,X1: $i] :
( ( incident_c @ X0 @ X1 )
| ~ ( end_point @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[end_point_defn]) ).
thf(zip_derived_cl382,plain,
incident_c @ sk__17 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('s_sup-',[status(thm)],[zip_derived_cl349,zip_derived_cl9]) ).
thf(zip_derived_cl352_007,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) )
| ( incident_c @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl0]) ).
thf(zip_derived_cl459,plain,
incident_c @ sk__17 @ sk__14,
inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl352]) ).
thf(zip_derived_cl470,plain,
( ( sk__15 = sk__16 )
| ( sk__16 = sk__17 )
| ( sk__15 = sk__17 ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl454,zip_derived_cl462,zip_derived_cl459]) ).
thf(zip_derived_cl49_008,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_cl346,plain,
sk__15 != sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl43]) ).
thf(zip_derived_cl471,plain,
( ( sk__15 = sk__16 )
| ( sk__16 = sk__17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl470,zip_derived_cl346]) ).
thf(zip_derived_cl350_009,plain,
inner_point @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl47]) ).
thf(zip_derived_cl477,plain,
( ( sk__15 = sk__16 )
| ( inner_point @ sk__16 @ ( sk__13 @ sk__16 @ sk__16 @ sk__15 @ sk__14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl350]) ).
thf(zip_derived_cl471_010,plain,
( ( sk__15 = sk__16 )
| ( sk__16 = sk__17 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl470,zip_derived_cl346]) ).
thf(zip_derived_cl349_011,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_cl18_012,plain,
! [X0: $i,X1: $i] :
( ~ ( end_point @ X0 @ X1 )
| ~ ( inner_point @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[inner_point_defn]) ).
thf(zip_derived_cl383,plain,
~ ( inner_point @ sk__17 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl349,zip_derived_cl18]) ).
thf(zip_derived_cl483,plain,
( ( sk__15 = sk__16 )
| ~ ( inner_point @ sk__16 @ ( sk__13 @ sk__16 @ sk__16 @ sk__15 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl471,zip_derived_cl383]) ).
thf(zip_derived_cl650,plain,
sk__15 = sk__16,
inference(clc,[status(thm)],[zip_derived_cl477,zip_derived_cl483]) ).
thf(zip_derived_cl657,plain,
~ ( inner_point @ sk__15 @ ( sk__13 @ sk__17 @ sk__15 @ sk__15 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl650]) ).
thf(zip_derived_cl350_013,plain,
inner_point @ sk__16 @ ( sk__13 @ sk__17 @ sk__16 @ sk__15 @ sk__14 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl49,zip_derived_cl47]) ).
thf(zip_derived_cl650_014,plain,
sk__15 = sk__16,
inference(clc,[status(thm)],[zip_derived_cl477,zip_derived_cl483]) ).
thf(zip_derived_cl650_015,plain,
sk__15 = sk__16,
inference(clc,[status(thm)],[zip_derived_cl477,zip_derived_cl483]) ).
thf(zip_derived_cl654,plain,
inner_point @ sk__15 @ ( sk__13 @ sk__17 @ sk__15 @ sk__15 @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl650,zip_derived_cl650]) ).
thf(zip_derived_cl733,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iUoi6ecVHm true
% 0.14/0.34 % Computer : n029.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 : Wed Aug 30 00:19:12 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
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.50/0.64 % Total configuration time : 435
% 0.50/0.64 % Estimated wc time : 1092
% 0.50/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.82 % Solved by fo/fo6_bce.sh.
% 0.54/0.82 % BCE start: 51
% 0.54/0.82 % BCE eliminated: 0
% 0.54/0.82 % PE start: 51
% 0.54/0.82 logic: eq
% 0.54/0.82 % PE eliminated: 0
% 0.54/0.82 % done 128 iterations in 0.124s
% 0.54/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.82 % SZS output start Refutation
% See solution above
% 0.54/0.82
% 0.54/0.82
% 0.54/0.82 % Terminating...
% 0.60/0.93 % Runner terminated.
% 1.55/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------