TSTP Solution File: GEO125+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO125+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YEOOKqx2Ud true
% Computer : n003.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 23:56:47 EDT 2023
% Result : Theorem 0.56s 0.81s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 45 ( 14 unt; 13 typ; 0 def)
% Number of atoms : 71 ( 13 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 218 ( 23 ~; 20 |; 11 &; 156 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 57 ( 0 ^; 55 !; 2 ?; 57 :)
% 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(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(finish_point_type,type,
finish_point: $i > $i > $o ).
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_2,conjecture,
! [O: $i,P: $i,Q: $i] :
( ( ( finish_point @ P @ O )
& ( finish_point @ Q @ O ) )
=> ( P = Q ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [O: $i,P: $i,Q: $i] :
( ( ( finish_point @ P @ O )
& ( finish_point @ Q @ O ) )
=> ( P = Q ) ),
inference('cnf.neg',[status(esa)],[corollary_4_10_2]) ).
thf(zip_derived_cl86,plain,
finish_point @ sk__26 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87,plain,
finish_point @ sk__25 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(finish_point_defn,axiom,
! [P: $i,O: $i] :
( ( finish_point @ P @ O )
<=> ( ( incident_o @ P @ O )
& ! [Q: $i] :
( ( ( P != Q )
& ( incident_o @ Q @ O ) )
=> ( ordered_by @ O @ Q @ P ) ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( incident_o @ X0 @ X1 )
| ~ ( finish_point @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[finish_point_defn]) ).
thf(zip_derived_cl650,plain,
incident_o @ sk__25 @ sk__24,
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl60]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident_o @ X0 @ X2 )
| ( ordered_by @ X2 @ X0 @ X1 )
| ~ ( finish_point @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[finish_point_defn]) ).
thf(zip_derived_cl860,plain,
! [X0: $i] :
( ( X0 = sk__25 )
| ( ordered_by @ sk__24 @ sk__25 @ X0 )
| ~ ( finish_point @ X0 @ sk__24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl61]) ).
thf(zip_derived_cl863,plain,
( ( sk__26 = sk__25 )
| ( ordered_by @ sk__24 @ sk__25 @ sk__26 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl860]) ).
thf(zip_derived_cl85,plain,
sk__25 != sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl864,plain,
ordered_by @ sk__24 @ sk__25 @ sk__26,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl863,zip_derived_cl85]) ).
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_cl646,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( between_c @ X2 @ X0 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl941,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( between_o @ X2 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl646]) ).
thf(zip_derived_cl944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ordered_by @ X2 @ X1 @ X0 )
| ~ ( ordered_by @ X2 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl941]) ).
thf(zip_derived_cl953,plain,
~ ( ordered_by @ sk__24 @ sk__26 @ sk__25 ),
inference('s_sup-',[status(thm)],[zip_derived_cl864,zip_derived_cl944]) ).
thf(zip_derived_cl87_001,plain,
finish_point @ sk__25 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86_002,plain,
finish_point @ sk__26 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60_003,plain,
! [X0: $i,X1: $i] :
( ( incident_o @ X0 @ X1 )
| ~ ( finish_point @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[finish_point_defn]) ).
thf(zip_derived_cl651,plain,
incident_o @ sk__26 @ sk__24,
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl60]) ).
thf(zip_derived_cl61_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident_o @ X0 @ X2 )
| ( ordered_by @ X2 @ X0 @ X1 )
| ~ ( finish_point @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[finish_point_defn]) ).
thf(zip_derived_cl861,plain,
! [X0: $i] :
( ( X0 = sk__26 )
| ( ordered_by @ sk__24 @ sk__26 @ X0 )
| ~ ( finish_point @ X0 @ sk__24 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl61]) ).
thf(zip_derived_cl883,plain,
( ( sk__25 = sk__26 )
| ( ordered_by @ sk__24 @ sk__26 @ sk__25 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl861]) ).
thf(zip_derived_cl85_005,plain,
sk__25 != sk__26,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl885,plain,
ordered_by @ sk__24 @ sk__26 @ sk__25,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl883,zip_derived_cl85]) ).
thf(zip_derived_cl956,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl953,zip_derived_cl885]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO125+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YEOOKqx2Ud true
% 0.13/0.34 % Computer : n003.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 20:01:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.81 % Solved by fo/fo6_bce.sh.
% 0.56/0.81 % BCE start: 88
% 0.56/0.81 % BCE eliminated: 0
% 0.56/0.81 % PE start: 88
% 0.56/0.81 logic: eq
% 0.56/0.81 % PE eliminated: 3
% 0.56/0.81 % done 132 iterations in 0.104s
% 0.56/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.81 % SZS output start Refutation
% See solution above
% 0.56/0.81
% 0.56/0.81
% 0.56/0.81 % Terminating...
% 0.56/0.87 % Runner terminated.
% 1.49/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------