TSTP Solution File: GEO082+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO082+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.vm0Zv8DVQz true
% Computer : n024.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 23:56:28 EDT 2023
% Result : Theorem 1.99s 0.97s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 91 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 328 ( 32 ~; 43 |; 2 &; 243 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(incident_c_type,type,
incident_c: $i > $i > $o ).
thf(sum_type,type,
sum: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(part_of_type,type,
part_of: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i > $i ).
thf(part_of_antisymmetry,conjecture,
! [C1: $i,C2: $i] :
( ( ( part_of @ C1 @ C2 )
& ( part_of @ C2 @ C1 ) )
=> ( C1 = C2 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [C1: $i,C2: $i] :
( ( ( part_of @ C1 @ C2 )
& ( part_of @ C2 @ C1 ) )
=> ( C1 = C2 ) ),
inference('cnf.neg',[status(esa)],[part_of_antisymmetry]) ).
thf(zip_derived_cl43,plain,
part_of @ sk__13 @ sk__14,
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_cl310,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ sk__13 )
| ( incident_c @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl0]) ).
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_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sum @ X0 @ X1 ) )
| ( incident_c @ ( sk__1 @ X1 @ X0 @ X2 ) @ X1 )
| ( incident_c @ ( sk__1 @ X1 @ X0 @ X2 ) @ X0 )
| ( incident_c @ ( sk__1 @ X1 @ X0 @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[sum_defn]) ).
thf(zip_derived_cl44,plain,
part_of @ sk__14 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_001,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_cl311,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ sk__14 )
| ( incident_c @ X0 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl0]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i] :
( ( incident_c @ ( sk__1 @ sk__14 @ X1 @ X0 ) @ X0 )
| ( incident_c @ ( sk__1 @ sk__14 @ X1 @ X0 ) @ X1 )
| ( X0
= ( sum @ X1 @ sk__14 ) )
| ( incident_c @ ( sk__1 @ sk__14 @ X1 @ X0 ) @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl311]) ).
thf(zip_derived_cl310_002,plain,
! [X0: $i] :
( ~ ( incident_c @ X0 @ sk__13 )
| ( incident_c @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sum @ X0 @ X1 ) )
| ~ ( incident_c @ ( sk__1 @ X1 @ X0 @ X2 ) @ X1 )
| ~ ( incident_c @ ( sk__1 @ X1 @ X0 @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[sum_defn]) ).
thf(zip_derived_cl341,plain,
! [X0: $i,X1: $i] :
( ~ ( incident_c @ ( sk__1 @ sk__14 @ X1 @ X0 ) @ sk__13 )
| ( X0
= ( sum @ X1 @ sk__14 ) )
| ~ ( incident_c @ ( sk__1 @ sk__14 @ X1 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6]) ).
thf(zip_derived_cl705,plain,
! [X0: $i] :
( ~ ( incident_c @ ( sk__1 @ sk__14 @ X0 @ sk__13 ) @ sk__13 )
| ( sk__13
= ( sum @ X0 @ sk__14 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl341]) ).
thf(zip_derived_cl759,plain,
( ( incident_c @ ( sk__1 @ sk__14 @ sk__13 @ sk__13 ) @ sk__13 )
| ( sk__13
= ( sum @ sk__13 @ sk__14 ) )
| ( incident_c @ ( sk__1 @ sk__14 @ sk__13 @ sk__13 ) @ sk__13 )
| ( sk__13
= ( sum @ sk__13 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl705]) ).
thf(zip_derived_cl786,plain,
( ( sk__13
= ( sum @ sk__13 @ sk__14 ) )
| ( incident_c @ ( sk__1 @ sk__14 @ sk__13 @ sk__13 ) @ sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl759]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sum @ X0 @ X1 ) )
| ~ ( incident_c @ ( sk__1 @ X1 @ X0 @ X2 ) @ X0 )
| ~ ( incident_c @ ( sk__1 @ X1 @ X0 @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[sum_defn]) ).
thf(zip_derived_cl354,plain,
! [X0: $i,X1: $i] :
( ~ ( incident_c @ ( sk__1 @ X1 @ X0 @ X0 ) @ X0 )
| ( X0
= ( sum @ X0 @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl880,plain,
( sk__13
= ( sum @ sk__13 @ sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl786,zip_derived_cl354]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( incident_c @ X0 @ X1 )
| ( incident_c @ X0 @ X2 )
| ( X2
!= ( sum @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[sum_defn]) ).
thf(zip_derived_cl320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( incident_c @ X2 @ ( sum @ X1 @ X0 ) )
| ~ ( incident_c @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3]) ).
thf(c9,axiom,
! [C: $i,C1: $i] :
( ! [P: $i] :
( ( incident_c @ P @ C )
<=> ( incident_c @ P @ C1 ) )
=> ( C = C1 ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( incident_c @ ( sk__12 @ X0 @ X1 ) @ X0 )
| ~ ( incident_c @ ( sk__12 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[c9]) ).
thf(zip_derived_cl324,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( incident_c @ ( sk__12 @ ( sum @ X1 @ X0 ) @ X2 ) @ X0 )
| ( X2
= ( sum @ X1 @ X0 ) )
| ~ ( incident_c @ ( sk__12 @ ( sum @ X1 @ X0 ) @ X2 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl41]) ).
thf(zip_derived_cl1437,plain,
! [X0: $i] :
( ~ ( incident_c @ ( sk__12 @ sk__13 @ X0 ) @ sk__14 )
| ( X0 = sk__13 )
| ~ ( incident_c @ ( sk__12 @ sk__13 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl880,zip_derived_cl324]) ).
thf(zip_derived_cl1458,plain,
( ~ ( incident_c @ ( sk__12 @ sk__13 @ sk__14 ) @ sk__14 )
| ( sk__14 = sk__13 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1437]) ).
thf(zip_derived_cl45,plain,
sk__13 != sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1459,plain,
~ ( incident_c @ ( sk__12 @ sk__13 @ sk__14 ) @ sk__14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1458,zip_derived_cl45]) ).
thf(zip_derived_cl1465,plain,
~ ( incident_c @ ( sk__12 @ sk__13 @ sk__14 ) @ sk__13 ),
inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl1459]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( incident_c @ ( sk__12 @ X0 @ X1 ) @ X0 )
| ( incident_c @ ( sk__12 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[c9]) ).
thf(zip_derived_cl1437_003,plain,
! [X0: $i] :
( ~ ( incident_c @ ( sk__12 @ sk__13 @ X0 ) @ sk__14 )
| ( X0 = sk__13 )
| ~ ( incident_c @ ( sk__12 @ sk__13 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl880,zip_derived_cl324]) ).
thf(zip_derived_cl1457,plain,
( ( incident_c @ ( sk__12 @ sk__13 @ sk__14 ) @ sk__13 )
| ( sk__14 = sk__13 )
| ( sk__14 = sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1437]) ).
thf(zip_derived_cl1460,plain,
( ( sk__14 = sk__13 )
| ( incident_c @ ( sk__12 @ sk__13 @ sk__14 ) @ sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1457]) ).
thf(zip_derived_cl45_004,plain,
sk__13 != sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1461,plain,
incident_c @ ( sk__12 @ sk__13 @ sk__14 ) @ sk__13,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1460,zip_derived_cl45]) ).
thf(zip_derived_cl1493,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1465,zip_derived_cl1461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vm0Zv8DVQz true
% 0.13/0.34 % Computer : n024.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 20:05:08 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
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.99/0.97 % Solved by fo/fo6_bce.sh.
% 1.99/0.97 % BCE start: 46
% 1.99/0.97 % BCE eliminated: 0
% 1.99/0.97 % PE start: 46
% 1.99/0.97 logic: eq
% 1.99/0.97 % PE eliminated: 4
% 1.99/0.97 % done 238 iterations in 0.264s
% 1.99/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.99/0.97 % SZS output start Refutation
% See solution above
% 1.99/0.97
% 1.99/0.97
% 1.99/0.97 % Terminating...
% 2.32/1.08 % Runner terminated.
% 2.34/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------