%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO084+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.F2aN2hEZ5C true
% Computer : n012.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 04:33:50 PM UTC 2025
% Result : Theorem 0.55s 0.82s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 230 ( 20 ~; 18 |; 4 &; 181 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 42 ( 0 ^; 40 !; 2 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(incident_c_type,type,
incident_c: $i > $i > $o ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(meet_type,type,
meet: $i > $i > $i > $o ).
thf(part_of_type,type,
part_of: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(corollary_2_6_2,conjecture,
! [C1: $i,C2: $i,C3: $i,P: $i] :
( ( ( part_of @ C1 @ C3 )
& ( part_of @ C2 @ C3 )
& ( meet @ P @ C1 @ C2 ) )
=> ( part_of @ ( sum @ C1 @ C2 ) @ C3 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [C1: $i,C2: $i,C3: $i,P: $i] :
( ( ( part_of @ C1 @ C3 )
& ( part_of @ C2 @ C3 )
& ( meet @ P @ C1 @ C2 ) )
=> ( part_of @ ( sum @ C1 @ C2 ) @ C3 ) ),
inference('cnf.neg',[status(esa)],[corollary_2_6_2]) ).
thf(zip_derived_cl45,plain,
part_of @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(part_of_defn,axiom,
! [C: $i,C1: $i] :
( ( part_of @ C1 @ C )
<=> ! [P: $i] :
( ( incident_c @ P @ C1 )
=> ( incident_c @ P @ C ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( incident_c @ X0 @ X1 )
| ( incident_c @ X0 @ X2 )
| ~ ( part_of @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( incident_c @ X0 @ sk__15 )
| ~ ( incident_c @ X0 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( part_of @ X0 @ X1 )
| ~ ( incident_c @ ( sk_ @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
thf(zip_derived_cl46,plain,
~ ( part_of @ ( sum @ sk__13 @ sk__14 ) @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
meet @ sk__16 @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(c8,axiom,
! [C1: $i,C2: $i] :
( ? [P: $i] : ( meet @ P @ C1 @ C2 )
=> ? [C: $i] :
( C
= ( sum @ C1 @ C2 ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__11 @ X1 @ X0 )
= ( sum @ X0 @ X1 ) )
| ~ ( meet @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[c8]) ).
thf(zip_derived_cl74,plain,
( ( sk__11 @ sk__14 @ sk__13 )
= ( sum @ sk__13 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).
thf(zip_derived_cl84,plain,
~ ( part_of @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl74]) ).
thf(zip_derived_cl91,plain,
~ ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl84]) ).
thf(zip_derived_cl163,plain,
~ ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl91]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( part_of @ X0 @ X1 )
| ( incident_c @ ( sk_ @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
thf(zip_derived_cl84_001,plain,
~ ( part_of @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl74]) ).
thf(zip_derived_cl111,plain,
incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ ( sk__11 @ sk__14 @ sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl84]) ).
thf(zip_derived_cl74_002,plain,
( ( sk__11 @ sk__14 @ sk__13 )
= ( sum @ sk__13 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl40]) ).
thf(sum_defn,axiom,
! [C: $i,C1: $i,C2: $i] :
( ( C
= ( sum @ C1 @ C2 ) )
<=> ! [Q: $i] :
( ( incident_c @ Q @ C )
<=> ( ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( incident_c @ X0 @ X1 )
| ( incident_c @ X0 @ X2 )
| ( incident_c @ X0 @ X3 )
| ( X1
!= ( sum @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[sum_defn]) ).
thf(zip_derived_cl271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_c @ X1 @ X0 )
| ( incident_c @ X1 @ X2 )
| ~ ( incident_c @ X1 @ ( sum @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl277,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ ( sk__11 @ sk__14 @ sk__13 ) )
| ( incident_c @ X0 @ sk__13 )
| ( incident_c @ X0 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl271]) ).
thf(zip_derived_cl392,plain,
( ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__14 )
| ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl277]) ).
thf(zip_derived_cl44,plain,
part_of @ sk__13 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( incident_c @ X0 @ X1 )
| ( incident_c @ X0 @ X2 )
| ~ ( part_of @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[part_of_defn]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( incident_c @ X0 @ sk__15 )
| ~ ( incident_c @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl0]) ).
thf(zip_derived_cl91_004,plain,
~ ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl84]) ).
thf(zip_derived_cl156,plain,
~ ( incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl91]) ).
thf(zip_derived_cl406,plain,
incident_c @ ( sk_ @ ( sk__11 @ sk__14 @ sk__13 ) @ sk__15 ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl156]) ).
thf(zip_derived_cl433,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO084+1 : TPTP v9.2.0. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.F2aN2hEZ5C true
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 17:43:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.41/0.62 % Total configuration time : 435
% 0.41/0.62 % Estimated wc time : 1092
% 0.41/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /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
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.82 % Solved by fo/fo7.sh.
% 0.55/0.82 % done 185 iterations in 0.075s
% 0.55/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.82 % SZS output start Refutation
% See solution above
% 0.55/0.82
% 0.55/0.82
% 0.55/0.82 % Terminating...
% 1.47/0.94 % Runner terminated.
% 1.47/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------