%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRA003+1 : TPTP v9.2.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gNMbQSYIGt true
% Computer : n013.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 04:35:11 PM UTC 2025
% Result : Theorem 0.63s 0.84s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 126 ( 26 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 359 ( 45 ~; 39 |; 31 &; 233 @)
% ( 1 <=>; 8 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 79 ( 0 ^; 75 !; 4 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(edge_type,type,
edge: $i > $o ).
thf(sequential_type,type,
sequential: $i > $i > $o ).
thf(length_of_type,type,
length_of: $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(in_path_type,type,
in_path: $i > $i > $o ).
thf(vertex_type,type,
vertex: $i > $o ).
thf(precedes_type,type,
precedes: $i > $i > $i > $o ).
thf(head_of_type,type,
head_of: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(on_path_type,type,
on_path: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(shortest_path_type,type,
shortest_path: $i > $i > $i > $o ).
thf(less_or_equal_type,type,
less_or_equal: $i > $i > $o ).
thf(tail_of_type,type,
tail_of: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(empty_type,type,
empty: $i ).
thf(path_type,type,
path: $i > $i > $i > $o ).
thf(path_cons_type,type,
path_cons: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(vertices_and_edges,conjecture,
! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ( ( vertex @ V1 )
& ( vertex @ V2 )
& ( V1 != V2 )
& ( edge @ E1 )
& ( edge @ E2 )
& ( E1 != E2 )
& ( path @ V1 @ V2 @ P ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ( ( vertex @ V1 )
& ( vertex @ V2 )
& ( V1 != V2 )
& ( edge @ E1 )
& ( edge @ E2 )
& ( E1 != E2 )
& ( path @ V1 @ V2 @ P ) ) ),
inference('cnf.neg',[status(esa)],[vertices_and_edges]) ).
thf(zip_derived_cl59,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
( ~ ( vertex @ sk__8 )
| ~ ( vertex @ sk__9 )
| ( sk__8 = sk__9 )
| ~ ( edge @ sk__10 )
| ~ ( edge @ sk__11 )
| ( sk__10 = sk__11 )
| ~ ( path @ sk__8 @ sk__9 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(path_properties,axiom,
! [V1: $i,V2: $i,P: $i] :
( ( path @ V1 @ V2 @ P )
=> ( ( vertex @ V1 )
& ( vertex @ V2 )
& ? [E: $i] :
( ( ( ( V2
= ( head_of @ E ) )
& ( P
= ( path_cons @ E @ empty ) ) )
<~> ? [TP: $i] :
( ( P
= ( path_cons @ E @ TP ) )
& ( path @ ( head_of @ E ) @ V2 @ TP ) ) )
& ( V1
= ( tail_of @ E ) )
& ( edge @ E ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vertex @ X0 )
| ~ ( path @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[path_properties]) ).
thf(zip_derived_cl380,plain,
( ~ ( path @ sk__8 @ sk__9 @ sk__12 )
| ( sk__10 = sk__11 )
| ~ ( edge @ sk__11 )
| ~ ( edge @ sk__10 )
| ( sk__8 = sk__9 )
| ~ ( vertex @ sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl61,zip_derived_cl11]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vertex @ X0 )
| ~ ( path @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[path_properties]) ).
thf(zip_derived_cl381,plain,
( ( sk__8 = sk__9 )
| ~ ( edge @ sk__10 )
| ~ ( edge @ sk__11 )
| ( sk__10 = sk__11 )
| ~ ( path @ sk__8 @ sk__9 @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl380,zip_derived_cl12]) ).
thf(zip_derived_cl59_001,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(shortest_path_defn,axiom,
! [V1: $i,V2: $i,SP: $i] :
( ( shortest_path @ V1 @ V2 @ SP )
<=> ( ( path @ V1 @ V2 @ SP )
& ( V1 != V2 )
& ! [P: $i] :
( ( path @ V1 @ V2 @ P )
=> ( less_or_equal @ ( length_of @ SP ) @ ( length_of @ P ) ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( path @ X0 @ X1 @ X2 )
| ~ ( shortest_path @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[shortest_path_defn]) ).
thf(zip_derived_cl385,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl38]) ).
thf(zip_derived_cl386,plain,
( ( sk__8 = sk__9 )
| ~ ( edge @ sk__10 )
| ~ ( edge @ sk__11 )
| ( sk__10 = sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl385]) ).
thf(zip_derived_cl385_002,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl38]) ).
thf(zip_derived_cl60,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(precedes_properties,axiom,
! [P: $i,V1: $i,V2: $i] :
( ( path @ V1 @ V2 @ P )
=> ! [E1: $i,E2: $i] :
( ( precedes @ E1 @ E2 @ P )
=> ( ( on_path @ E1 @ P )
& ( on_path @ E2 @ P )
& ( ( sequential @ E1 @ E2 )
<~> ? [E3: $i] :
( ( precedes @ E3 @ E2 @ P )
& ( sequential @ E1 @ E3 ) ) ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ( on_path @ X1 @ X2 )
| ~ ( path @ X3 @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[precedes_properties]) ).
thf(zip_derived_cl423,plain,
! [X0: $i,X1: $i] :
( ( on_path @ sk__11 @ sk__12 )
| ~ ( path @ X1 @ X0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl36]) ).
thf(zip_derived_cl424,plain,
on_path @ sk__11 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl423]) ).
thf(zip_derived_cl385_003,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl38]) ).
thf(on_path_properties,axiom,
! [V1: $i,V2: $i,P: $i,E: $i] :
( ( ( path @ V1 @ V2 @ P )
& ( on_path @ E @ P ) )
=> ( ( edge @ E )
& ( in_path @ ( head_of @ E ) @ P )
& ( in_path @ ( tail_of @ E ) @ P ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( path @ X0 @ X1 @ X2 )
| ~ ( on_path @ X3 @ X2 )
| ( edge @ X3 ) ),
inference(cnf,[status(esa)],[on_path_properties]) ).
thf(zip_derived_cl395,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( edge @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl22]) ).
thf(zip_derived_cl430,plain,
edge @ sk__11,
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl395]) ).
thf(zip_derived_cl435,plain,
( ( sk__8 = sk__9 )
| ~ ( edge @ sk__10 )
| ( sk__10 = sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl386,zip_derived_cl430]) ).
thf(zip_derived_cl385_004,plain,
path @ sk__8 @ sk__9 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl38]) ).
thf(zip_derived_cl60_005,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ( on_path @ X0 @ X2 )
| ~ ( path @ X3 @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[precedes_properties]) ).
thf(zip_derived_cl428,plain,
! [X0: $i,X1: $i] :
( ( on_path @ sk__10 @ sk__12 )
| ~ ( path @ X1 @ X0 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl37]) ).
thf(zip_derived_cl436,plain,
on_path @ sk__10 @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl428]) ).
thf(zip_derived_cl395_006,plain,
! [X0: $i] :
( ~ ( on_path @ X0 @ sk__12 )
| ( edge @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl22]) ).
thf(zip_derived_cl445,plain,
edge @ sk__10,
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl395]) ).
thf(zip_derived_cl452,plain,
( ( sk__8 = sk__9 )
| ( sk__10 = sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl435,zip_derived_cl445]) ).
thf(zip_derived_cl60_007,plain,
precedes @ sk__10 @ sk__11 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl453,plain,
( ( sk__8 = sk__9 )
| ( precedes @ sk__10 @ sk__10 @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl452,zip_derived_cl60]) ).
thf(zip_derived_cl59_008,plain,
shortest_path @ sk__8 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(shortest_path_properties,axiom,
! [V1: $i,V2: $i,E1: $i,E2: $i,P: $i] :
( ( ( shortest_path @ V1 @ V2 @ P )
& ( precedes @ E1 @ E2 @ P ) )
=> ( ~ ? [E3: $i] :
( ( ( head_of @ E3 )
= ( head_of @ E2 ) )
& ( ( tail_of @ E3 )
= ( tail_of @ E1 ) ) )
& ~ ( precedes @ E2 @ E1 @ P ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( precedes @ X0 @ X1 @ X2 )
| ~ ( precedes @ X1 @ X0 @ X2 )
| ~ ( shortest_path @ X3 @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[shortest_path_properties]) ).
thf(zip_derived_cl378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( shortest_path @ X3 @ X2 @ X0 )
| ~ ( precedes @ X1 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl379,plain,
! [X0: $i] :
~ ( precedes @ X0 @ X0 @ sk__12 ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl378]) ).
thf(zip_derived_cl475,plain,
sk__8 = sk__9,
inference(clc,[status(thm)],[zip_derived_cl453,zip_derived_cl379]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ~ ( shortest_path @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[shortest_path_defn]) ).
thf(zip_derived_cl372,plain,
! [X0: $i,X1: $i] :
~ ( shortest_path @ X1 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl476,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl475,zip_derived_cl372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRA003+1 : TPTP v9.2.0. Bugfixed v3.2.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gNMbQSYIGt true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:51:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.59/0.69 % Total configuration time : 435
% 0.59/0.69 % Estimated wc time : 1092
% 0.59/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.84 % Solved by fo/fo6_bce.sh.
% 0.63/0.84 % BCE start: 62
% 0.63/0.84 % BCE eliminated: 6
% 0.63/0.84 % PE start: 56
% 0.63/0.84 logic: eq
% 0.63/0.84 % PE eliminated: 8
% 0.63/0.84 % done 77 iterations in 0.058s
% 0.63/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/0.84 % SZS output start Refutation
% See solution above
% 0.63/0.84
% 0.63/0.84
% 0.63/0.84 % Terminating...
% 0.69/0.90 % Runner terminated.
% 0.69/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------