TSTP Solution File: GEO127+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO127+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.nMI6AoIMMF true
% Computer : n020.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 23:56:48 EDT 2023
% Result : Theorem 0.57s 0.85s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of formulae : 76 ( 22 unt; 17 typ; 0 def)
% Number of atoms : 117 ( 11 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 348 ( 37 ~; 38 |; 9 &; 253 @)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 4 con; 0-3 aty)
% Number of variables : 78 ( 0 ^; 71 !; 7 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
thf(incident_c_type,type,
incident_c: $i > $i > $o ).
thf(open_type,type,
open: $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(end_point_type,type,
end_point: $i > $i > $o ).
thf(incident_o_type,type,
incident_o: $i > $i > $o ).
thf(start_point_type,type,
start_point: $i > $i > $o ).
thf(part_of_type,type,
part_of: $i > $i > $o ).
thf(sk__25_type,type,
sk__25: $i ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(inner_point_type,type,
inner_point: $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(closed_type,type,
closed: $i > $o ).
thf(sk__19_type,type,
sk__19: $i > $i ).
thf(ordered_by_type,type,
ordered_by: $i > $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__26_type,type,
sk__26: $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_cl614,plain,
! [X0: $i] : ( incident_c @ ( sk__7 @ X0 ) @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl17]) ).
thf(o2,axiom,
! [O: $i] :
? [C: $i] :
( ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) )
& ( open @ C ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ( incident_o @ X0 @ X1 )
| ~ ( incident_c @ X0 @ ( sk__16 @ X1 ) ) ),
inference(cnf,[status(esa)],[o2]) ).
thf(zip_derived_cl666,plain,
! [X0: $i] : ( incident_o @ ( sk__7 @ ( sk__16 @ X0 ) ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl614,zip_derived_cl68]) ).
thf(o4,axiom,
! [O: $i] :
? [P: $i] : ( start_point @ P @ O ) ).
thf(zip_derived_cl75,plain,
! [X0: $i] : ( start_point @ ( sk__19 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[o4]) ).
thf(start_point_defn,axiom,
! [P: $i,O: $i] :
( ( start_point @ P @ O )
<=> ( ( incident_o @ P @ O )
& ! [Q: $i] :
( ( ( P != Q )
& ( incident_o @ Q @ O ) )
=> ( ordered_by @ O @ P @ Q ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident_o @ X0 @ X2 )
| ( ordered_by @ X2 @ X1 @ X0 )
| ~ ( start_point @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[start_point_defn]) ).
thf(zip_derived_cl601,plain,
! [X0: $i,X1: $i] :
( ( ordered_by @ X0 @ ( sk__19 @ X0 ) @ X1 )
| ~ ( incident_o @ X1 @ X0 )
| ( ( sk__19 @ X0 )
= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl56]) ).
thf(theorem_4_12,conjecture,
! [O: $i,P: $i] :
( ( incident_o @ P @ O )
<=> ? [Q: $i] :
( ( ordered_by @ O @ Q @ P )
| ( ordered_by @ O @ P @ Q ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [O: $i,P: $i] :
( ( incident_o @ P @ O )
<=> ? [Q: $i] :
( ( ordered_by @ O @ Q @ P )
| ( ordered_by @ O @ P @ Q ) ) ),
inference('cnf.neg',[status(esa)],[theorem_4_12]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
( ~ ( ordered_by @ sk__24 @ X0 @ sk__25 )
| ~ ( incident_o @ sk__25 @ sk__24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85,plain,
( ( ordered_by @ sk__24 @ sk__25 @ sk__26 )
| ( ordered_by @ sk__24 @ sk__26 @ sk__25 )
| ( incident_o @ sk__25 @ sk__24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(o1,axiom,
! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ( ( incident_o @ P @ O )
& ( incident_o @ Q @ O ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_o @ X0 @ X1 )
| ~ ( ordered_by @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[o1]) ).
thf(zip_derived_cl656,plain,
( ( incident_o @ sk__25 @ sk__24 )
| ( ordered_by @ sk__24 @ sk__25 @ sk__26 )
| ( incident_o @ sk__25 @ sk__24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl66]) ).
thf(zip_derived_cl657,plain,
( ( ordered_by @ sk__24 @ sk__25 @ sk__26 )
| ( incident_o @ sk__25 @ sk__24 ) ),
inference(simplify,[status(thm)],[zip_derived_cl656]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_o @ X0 @ X1 )
| ~ ( ordered_by @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[o1]) ).
thf(zip_derived_cl659,plain,
incident_o @ sk__25 @ sk__24,
inference(clc,[status(thm)],[zip_derived_cl657,zip_derived_cl65]) ).
thf(zip_derived_cl660,plain,
! [X0: $i] :
~ ( ordered_by @ sk__24 @ X0 @ sk__25 ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl659]) ).
thf(zip_derived_cl869,plain,
( ( ( sk__19 @ sk__24 )
= sk__25 )
| ~ ( incident_o @ sk__25 @ sk__24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl660]) ).
thf(zip_derived_cl659_001,plain,
incident_o @ sk__25 @ sk__24,
inference(clc,[status(thm)],[zip_derived_cl657,zip_derived_cl65]) ).
thf(zip_derived_cl870,plain,
( ( sk__19 @ sk__24 )
= sk__25 ),
inference(demod,[status(thm)],[zip_derived_cl869,zip_derived_cl659]) ).
thf(zip_derived_cl601_002,plain,
! [X0: $i,X1: $i] :
( ( ordered_by @ X0 @ ( sk__19 @ X0 ) @ X1 )
| ~ ( incident_o @ X1 @ X0 )
| ( ( sk__19 @ X0 )
= X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl56]) ).
thf(zip_derived_cl872,plain,
! [X0: $i] :
( ( ordered_by @ sk__24 @ sk__25 @ X0 )
| ~ ( incident_o @ X0 @ sk__24 )
| ( sk__25 = X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl870,zip_derived_cl601]) ).
thf(zip_derived_cl87,plain,
! [X1: $i] :
( ~ ( ordered_by @ sk__24 @ sk__25 @ X1 )
| ~ ( incident_o @ sk__25 @ sk__24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl659_003,plain,
incident_o @ sk__25 @ sk__24,
inference(clc,[status(thm)],[zip_derived_cl657,zip_derived_cl65]) ).
thf(zip_derived_cl661,plain,
! [X1: $i] :
~ ( ordered_by @ sk__24 @ sk__25 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl659]) ).
thf(zip_derived_cl880,plain,
! [X0: $i] :
( ( sk__25 = X0 )
| ~ ( incident_o @ X0 @ sk__24 ) ),
inference(clc,[status(thm)],[zip_derived_cl872,zip_derived_cl661]) ).
thf(zip_derived_cl888,plain,
( sk__25
= ( sk__7 @ ( sk__16 @ sk__24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl666,zip_derived_cl880]) ).
thf(zip_derived_cl33_004,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_cl615,plain,
! [X0: $i] :
~ ( end_point @ ( sk__7 @ X0 ) @ X0 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl18]) ).
thf(zip_derived_cl938,plain,
~ ( end_point @ sk__25 @ ( sk__16 @ sk__24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl888,zip_derived_cl615]) ).
thf(open_defn,axiom,
! [C: $i] :
( ( open @ C )
<=> ? [P: $i] : ( end_point @ P @ C ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( end_point @ ( sk__6 @ X0 ) @ X0 )
| ~ ( open @ X0 ) ),
inference(cnf,[status(esa)],[open_defn]) ).
thf(closed_defn,axiom,
! [C: $i] :
( ( closed @ C )
<=> ~ ? [P: $i] : ( end_point @ P @ C ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( closed @ X0 )
| ( end_point @ ( sk__5 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[closed_defn]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( end_point @ X0 @ X1 )
| ~ ( closed @ X1 ) ),
inference(cnf,[status(esa)],[closed_defn]) ).
thf(zip_derived_cl586,plain,
! [X0: $i,X1: $i] :
( ( end_point @ ( sk__5 @ X0 ) @ X0 )
| ~ ( end_point @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl27]) ).
thf(zip_derived_cl709,plain,
! [X0: $i] :
( ~ ( open @ X0 )
| ( end_point @ ( sk__5 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl586]) ).
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_cl711,plain,
! [X0: $i] :
( ~ ( open @ X0 )
| ( incident_c @ ( sk__5 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl709,zip_derived_cl9]) ).
thf(zip_derived_cl68_005,plain,
! [X0: $i,X1: $i] :
( ( incident_o @ X0 @ X1 )
| ~ ( incident_c @ X0 @ ( sk__16 @ X1 ) ) ),
inference(cnf,[status(esa)],[o2]) ).
thf(zip_derived_cl715,plain,
! [X0: $i] :
( ~ ( open @ ( sk__16 @ X0 ) )
| ( incident_o @ ( sk__5 @ ( sk__16 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl68]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] : ( open @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[o2]) ).
thf(zip_derived_cl716,plain,
! [X0: $i] : ( incident_o @ ( sk__5 @ ( sk__16 @ X0 ) ) @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl715,zip_derived_cl67]) ).
thf(zip_derived_cl880_006,plain,
! [X0: $i] :
( ( sk__25 = X0 )
| ~ ( incident_o @ X0 @ sk__24 ) ),
inference(clc,[status(thm)],[zip_derived_cl872,zip_derived_cl661]) ).
thf(zip_derived_cl884,plain,
( sk__25
= ( sk__5 @ ( sk__16 @ sk__24 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl716,zip_derived_cl880]) ).
thf(zip_derived_cl709_007,plain,
! [X0: $i] :
( ~ ( open @ X0 )
| ( end_point @ ( sk__5 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl586]) ).
thf(zip_derived_cl898,plain,
( ~ ( open @ ( sk__16 @ sk__24 ) )
| ( end_point @ sk__25 @ ( sk__16 @ sk__24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl884,zip_derived_cl709]) ).
thf(zip_derived_cl67_008,plain,
! [X0: $i] : ( open @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[o2]) ).
thf(zip_derived_cl902,plain,
end_point @ sk__25 @ ( sk__16 @ sk__24 ),
inference(demod,[status(thm)],[zip_derived_cl898,zip_derived_cl67]) ).
thf(zip_derived_cl954,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl938,zip_derived_cl902]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO127+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nMI6AoIMMF true
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 23:46:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.85 % Solved by fo/fo6_bce.sh.
% 0.57/0.85 % BCE start: 88
% 0.57/0.85 % BCE eliminated: 0
% 0.57/0.85 % PE start: 88
% 0.57/0.85 logic: eq
% 0.57/0.85 % PE eliminated: 5
% 0.57/0.85 % done 123 iterations in 0.116s
% 0.57/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.85 % SZS output start Refutation
% See solution above
% 0.57/0.85
% 0.57/0.85
% 0.57/0.85 % Terminating...
% 0.60/0.96 % Runner terminated.
% 0.60/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------