%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP022+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4mGtIOv5Wu true
% Computer : n022.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 05:08:42 PM UTC 2025
% Result : Theorem 0.77s 0.58s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 167 ( 15 ~; 11 |; 5 &; 130 @)
% ( 2 <=>; 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 : 12 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 33 ( 0 ^; 31 !; 2 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(path_connected_type,type,
path_connected: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(alpha_hat_type,type,
alpha_hat: $i > $i ).
thf(isomorphic_groups_type,type,
isomorphic_groups: $i > $i > $o ).
thf(first_homotop_grp_type,type,
first_homotop_grp: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(a_member_of_type,type,
a_member_of: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(a_path_from_to_in_type,type,
a_path_from_to_in: $i > $i > $i > $i > $o ).
thf(a_group_isomorphism_from_to_type,type,
a_group_isomorphism_from_to: $i > $i > $i > $o ).
thf(isomorphic_groups_defn,axiom,
! [A: $i,B: $i] :
( ( isomorphic_groups @ A @ B )
<=> ? [F: $i] : ( a_group_isomorphism_from_to @ F @ A @ B ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( isomorphic_groups @ X0 @ X1 )
| ~ ( a_group_isomorphism_from_to @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[isomorphic_groups_defn]) ).
thf(m_8_2_2,conjecture,
! [X: $i,X0: $i,X1: $i] :
( ( ( path_connected @ X )
& ( a_member_of @ X0 @ X )
& ( a_member_of @ X1 @ X ) )
=> ( isomorphic_groups @ ( first_homotop_grp @ X @ X0 ) @ ( first_homotop_grp @ X @ X1 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,X0: $i,X1: $i] :
( ( ( path_connected @ X )
& ( a_member_of @ X0 @ X )
& ( a_member_of @ X1 @ X ) )
=> ( isomorphic_groups @ ( first_homotop_grp @ X @ X0 ) @ ( first_homotop_grp @ X @ X1 ) ) ),
inference('cnf.neg',[status(esa)],[m_8_2_2]) ).
thf(zip_derived_cl7,plain,
~ ( isomorphic_groups @ ( first_homotop_grp @ sk__2 @ sk__3 ) @ ( first_homotop_grp @ sk__2 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
~ ( a_group_isomorphism_from_to @ X0 @ ( first_homotop_grp @ sk__2 @ sk__3 ) @ ( first_homotop_grp @ sk__2 @ sk__4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
path_connected @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(path_connected_defn,axiom,
! [X: $i,X0: $i,X1: $i] :
( ( path_connected @ X )
<=> ( ( ( a_member_of @ X0 @ X )
& ( a_member_of @ X1 @ X ) )
=> ? [P: $i] : ( a_path_from_to_in @ P @ X0 @ X1 @ X ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a_member_of @ X0 @ X1 )
| ~ ( a_member_of @ X2 @ X1 )
| ( a_path_from_to_in @ ( sk__1 @ X2 @ X0 @ X1 ) @ X0 @ X2 @ X1 )
| ~ ( path_connected @ X1 ) ),
inference(cnf,[status(esa)],[path_connected_defn]) ).
thf(m_8_2_1,axiom,
! [A: $i,X0: $i,X1: $i,X: $i] :
( ( a_path_from_to_in @ A @ X0 @ X1 @ X )
=> ( a_group_isomorphism_from_to @ ( alpha_hat @ A ) @ ( first_homotop_grp @ X @ X0 ) @ ( first_homotop_grp @ X @ X1 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( a_group_isomorphism_from_to @ ( alpha_hat @ X0 ) @ ( first_homotop_grp @ X1 @ X2 ) @ ( first_homotop_grp @ X1 @ X3 ) )
| ~ ( a_path_from_to_in @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[m_8_2_1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( path_connected @ X1 )
| ~ ( a_member_of @ X0 @ X1 )
| ~ ( a_member_of @ X2 @ X1 )
| ( a_group_isomorphism_from_to @ ( alpha_hat @ ( sk__1 @ X0 @ X2 @ X1 ) ) @ ( first_homotop_grp @ X1 @ X2 ) @ ( first_homotop_grp @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( a_group_isomorphism_from_to @ ( alpha_hat @ ( sk__1 @ X0 @ X1 @ sk__2 ) ) @ ( first_homotop_grp @ sk__2 @ X1 ) @ ( first_homotop_grp @ sk__2 @ X0 ) )
| ~ ( a_member_of @ X1 @ sk__2 )
| ~ ( a_member_of @ X0 @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl14]) ).
thf(zip_derived_cl27,plain,
( ~ ( a_member_of @ sk__4 @ sk__2 )
| ~ ( a_member_of @ sk__3 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl17]) ).
thf(zip_derived_cl8,plain,
a_member_of @ sk__4 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
a_member_of @ sk__3 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl8,zip_derived_cl10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : TOP022+1 : TPTP v9.2.0. Released v3.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4mGtIOv5Wu true
% 0.13/0.35 % Computer : n022.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 15:42:23 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.50 % Total configuration time : 435
% 0.19/0.50 % Estimated wc time : 1092
% 0.19/0.50 % Estimated cpu time (7 cpus) : 156.0
% 0.77/0.56 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.77/0.56 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.77/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.77/0.56 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.77/0.56 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.77/0.56 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.77/0.58 % Solved by fo/fo3_bce.sh.
% 0.77/0.58 % BCE start: 11
% 0.77/0.58 % BCE eliminated: 0
% 0.77/0.58 % PE start: 11
% 0.77/0.58 logic: neq
% 0.77/0.58 % PE eliminated: 4
% 0.77/0.58 % done 8 iterations in 0.008s
% 0.77/0.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.77/0.58 % SZS output start Refutation
% See solution above
% 0.77/0.58
% 0.77/0.58
% 0.77/0.58 % Terminating...
% 0.94/0.70 % Runner terminated.
% 0.94/0.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------