%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO124+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O3zCCyEU73 true
% Computer : n027.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 Oct 2 04:33:55 PM UTC 2025
% Result : Theorem 0.54s 0.85s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 19 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 233 ( 28 ~; 27 |; 12 &; 157 @)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 65 ( 0 ^; 63 !; 2 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(incident_c_type,type,
incident_c: $i > $i > $o ).
thf(between_o_type,type,
between_o: $i > $i > $i > $i > $o ).
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(between_c_type,type,
between_c: $i > $i > $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i > $i > $i > $i > $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(inner_point_type,type,
inner_point: $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(ordered_by_type,type,
ordered_by: $i > $i > $i > $o ).
thf(corollary_4_10_1,conjecture,
! [O: $i,P: $i,Q: $i] :
( ( ( start_point @ P @ O )
& ( start_point @ Q @ O ) )
=> ( P = Q ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [O: $i,P: $i,Q: $i] :
( ( ( start_point @ P @ O )
& ( start_point @ Q @ O ) )
=> ( P = Q ) ),
inference('cnf.neg',[status(esa)],[corollary_4_10_1]) ).
thf(zip_derived_cl86,plain,
start_point @ sk__26 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl613,plain,
! [X0: $i] :
( ( ordered_by @ sk__24 @ sk__26 @ X0 )
| ~ ( incident_o @ X0 @ sk__24 )
| ( sk__26 = X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl86,zip_derived_cl56]) ).
thf(zip_derived_cl87,plain,
start_point @ sk__25 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56_001,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_cl615,plain,
! [X0: $i] :
( ( ordered_by @ sk__24 @ sk__25 @ X0 )
| ~ ( incident_o @ X0 @ sk__24 )
| ( sk__25 = X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl87,zip_derived_cl56]) ).
thf(between_o_defn,axiom,
! [O: $i,P: $i,Q: $i,R: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ( ( ( ordered_by @ O @ P @ Q )
& ( ordered_by @ O @ Q @ R ) )
| ( ( ordered_by @ O @ R @ Q )
& ( ordered_by @ O @ Q @ P ) ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( between_o @ X0 @ X1 @ X2 @ X3 )
| ~ ( ordered_by @ X0 @ X1 @ X2 )
| ~ ( ordered_by @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[between_o_defn]) ).
thf(o3,axiom,
! [P: $i,Q: $i,R: $i,O: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ? [C: $i] :
( ( between_c @ C @ P @ Q @ R )
& ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) ) ) ) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( between_c @ ( sk__18 @ X0 @ X1 @ X2 @ X3 ) @ X3 @ X2 @ X1 )
| ~ ( between_o @ X0 @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[o3]) ).
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_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_cl616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( between_o @ X3 @ X2 @ X1 @ X0 )
| ( X2 != X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl70,zip_derived_cl43]) ).
thf(zip_derived_cl1064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ordered_by @ X3 @ X1 @ X0 )
| ~ ( ordered_by @ X3 @ X2 @ X1 )
| ( X2 != X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl616]) ).
thf(zip_derived_cl1077,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordered_by @ X2 @ X1 @ X0 )
| ~ ( ordered_by @ X2 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1064]) ).
thf(zip_derived_cl1106,plain,
! [X0: $i] :
( ( sk__25 = X0 )
| ~ ( incident_o @ X0 @ sk__24 )
| ~ ( ordered_by @ sk__24 @ X0 @ sk__25 ) ),
inference('sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl1077]) ).
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_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_cl1117,plain,
! [X0: $i] :
( ~ ( ordered_by @ sk__24 @ X0 @ sk__25 )
| ( sk__25 = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1106,zip_derived_cl65]) ).
thf(zip_derived_cl1121,plain,
( ( sk__26 = sk__25 )
| ~ ( incident_o @ sk__25 @ sk__24 )
| ( sk__25 = sk__26 ) ),
inference('sup-',[status(thm)],[zip_derived_cl613,zip_derived_cl1117]) ).
thf(zip_derived_cl87_002,plain,
start_point @ sk__25 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ( incident_o @ X0 @ X1 )
| ~ ( start_point @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[start_point_defn]) ).
thf(zip_derived_cl614,plain,
incident_o @ sk__25 @ sk__24,
inference('dp-resolution',[status(thm)],[zip_derived_cl87,zip_derived_cl55]) ).
thf(zip_derived_cl1124,plain,
( ( sk__26 = sk__25 )
| ( sk__25 = sk__26 ) ),
inference(demod,[status(thm)],[zip_derived_cl1121,zip_derived_cl614]) ).
thf(zip_derived_cl1125,plain,
sk__26 = sk__25,
inference(simplify,[status(thm)],[zip_derived_cl1124]) ).
thf(zip_derived_cl85,plain,
sk__25 != sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1126,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1125,zip_derived_cl85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO124+1 : TPTP v9.2.0. 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.O3zCCyEU73 true
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 17:39:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.48/0.61 % Total configuration time : 435
% 0.48/0.61 % Estimated wc time : 1092
% 0.48/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /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
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.85 % Solved by fo/fo3_bce.sh.
% 0.54/0.85 % BCE start: 88
% 0.54/0.85 % BCE eliminated: 0
% 0.54/0.85 % PE start: 88
% 0.54/0.85 logic: eq
% 0.54/0.85 % PE eliminated: -7
% 0.54/0.85 % done 223 iterations in 0.132s
% 0.54/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.85 % SZS output start Refutation
% See solution above
% 0.54/0.85
% 0.54/0.85
% 0.54/0.85 % Terminating...
% 1.70/0.93 % Runner terminated.
% 1.70/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------