TSTP Solution File: COM023+4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM023+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PbOdHUBmKU true
% Computer : n032.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 18:49:11 EDT 2023
% Result : Theorem 1.14s 0.77s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 34
% Syntax : Number of formulae : 61 ( 15 unt; 24 typ; 0 def)
% Number of atoms : 190 ( 16 equ; 0 cnn)
% Maximal formula atoms : 33 ( 5 avg)
% Number of connectives : 608 ( 24 ~; 70 |; 72 &; 431 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 68 ( 0 ^; 48 !; 20 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(isConfluent0_type,type,
isConfluent0: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i > $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sdtmndtasgtdt0_type,type,
sdtmndtasgtdt0: $i > $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(aReductOfIn0_type,type,
aReductOfIn0: $i > $i > $i > $o ).
thf(xR_type,type,
xR: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sdtmndtplgtdt0_type,type,
sdtmndtplgtdt0: $i > $i > $i > $o ).
thf(m__,conjecture,
( ( isConfluent0 @ xR )
| ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( ( W0 = W1 )
| ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ xR @ W1 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( aElement0 @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
& ( ( W0 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( aElement0 @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) )
=> ? [W3: $i] :
( ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
| ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
| ? [W4: $i] :
( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( aElement0 @ W4 ) )
| ( aReductOfIn0 @ W3 @ W2 @ xR )
| ( W2 = W3 ) )
& ( ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
| ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
| ? [W4: $i] :
( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( aElement0 @ W4 ) )
| ( aReductOfIn0 @ W3 @ W1 @ xR )
| ( W1 = W3 ) )
& ( aElement0 @ W3 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( isConfluent0 @ xR )
| ! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( ( W0 = W1 )
| ( ( ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ xR @ W1 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( aElement0 @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ W1 ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
& ( ( W0 = W2 )
| ( ( ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( aElement0 @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W0 @ xR @ W2 ) ) )
& ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) )
=> ? [W3: $i] :
( ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
| ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
| ? [W4: $i] :
( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( aElement0 @ W4 ) )
| ( aReductOfIn0 @ W3 @ W2 @ xR )
| ( W2 = W3 ) )
& ( ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
| ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
| ? [W4: $i] :
( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( aElement0 @ W4 ) )
| ( aReductOfIn0 @ W3 @ W1 @ xR )
| ( W1 = W3 ) )
& ( aElement0 @ W3 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl98,plain,
sdtmndtasgtdt0 @ sk__19 @ xR @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__715,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( ( sdtmndtasgtdt0 @ W0 @ xR @ W2 )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W2 ) )
| ( aReductOfIn0 @ W2 @ W0 @ xR )
| ( W0 = W2 ) )
& ( ( sdtmndtasgtdt0 @ W0 @ xR @ W1 )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ? [W3: $i] :
( ( aElement0 @ W3 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( sdtmndtplgtdt0 @ W3 @ xR @ W1 ) )
| ( aReductOfIn0 @ W1 @ W0 @ xR )
| ( W0 = W1 ) )
& ( aElement0 @ W2 )
& ( aElement0 @ W1 )
& ( aElement0 @ W0 ) )
=> ? [W3: $i] :
( ( aElement0 @ W3 )
& ( ( W1 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W1 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W1 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( W2 = W3 )
| ( ( ( aReductOfIn0 @ W3 @ W2 @ xR )
| ? [W4: $i] :
( ( aElement0 @ W4 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( sdtmndtplgtdt0 @ W4 @ xR @ W3 ) ) )
& ( sdtmndtplgtdt0 @ W2 @ xR @ W3 ) ) )
& ( sdtmndtasgtdt0 @ W2 @ xR @ W3 ) ) ) ).
thf(zf_stmt_1,axiom,
! [W2: $i,W0: $i] :
( ( ( W0 = W2 )
| ( aReductOfIn0 @ W2 @ W0 @ xR )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ xR @ W2 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( aElement0 @ W3 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W2 )
| ( sdtmndtasgtdt0 @ W0 @ xR @ W2 ) )
=> ( zip_tseitin_0 @ W2 @ W0 ) ) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl192,plain,
zip_tseitin_0 @ sk__22 @ sk__19,
inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl64]) ).
thf(zip_derived_cl86,plain,
sdtmndtasgtdt0 @ sk__19 @ xR @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_2,axiom,
! [W1: $i,W0: $i] :
( ( ( W0 = W1 )
| ( aReductOfIn0 @ W1 @ W0 @ xR )
| ? [W3: $i] :
( ( sdtmndtplgtdt0 @ W3 @ xR @ W1 )
& ( aReductOfIn0 @ W3 @ W0 @ xR )
& ( aElement0 @ W3 ) )
| ( sdtmndtplgtdt0 @ W0 @ xR @ W1 )
| ( sdtmndtasgtdt0 @ W0 @ xR @ W1 ) )
=> ( zip_tseitin_1 @ W1 @ W0 ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( sdtmndtasgtdt0 @ X1 @ xR @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl204,plain,
zip_tseitin_1 @ sk__20 @ sk__19,
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl69]) ).
thf(zf_stmt_3,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [W3: $i,W2: $i,W1: $i] :
( ( zip_tseitin_6 @ W3 @ W2 @ W1 )
=> ( ( sdtmndtasgtdt0 @ W2 @ xR @ W3 )
& ( ( zip_tseitin_5 @ W3 @ W2 )
| ( W2 = W3 ) )
& ( sdtmndtasgtdt0 @ W1 @ xR @ W3 )
& ( ( zip_tseitin_3 @ W3 @ W1 )
| ( W1 = W3 ) )
& ( aElement0 @ W3 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [W3: $i,W2: $i] :
( ( zip_tseitin_5 @ W3 @ W2 )
=> ( ( sdtmndtplgtdt0 @ W2 @ xR @ W3 )
& ( ? [W4: $i] : ( zip_tseitin_4 @ W4 @ W3 @ W2 )
| ( aReductOfIn0 @ W3 @ W2 @ xR ) ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [W4: $i,W3: $i,W2: $i] :
( ( zip_tseitin_4 @ W4 @ W3 @ W2 )
=> ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W2 @ xR )
& ( aElement0 @ W4 ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [W3: $i,W1: $i] :
( ( zip_tseitin_3 @ W3 @ W1 )
=> ( ( sdtmndtplgtdt0 @ W1 @ xR @ W3 )
& ( ? [W4: $i] : ( zip_tseitin_2 @ W4 @ W3 @ W1 )
| ( aReductOfIn0 @ W3 @ W1 @ xR ) ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [W4: $i,W3: $i,W1: $i] :
( ( zip_tseitin_2 @ W4 @ W3 @ W1 )
=> ( ( sdtmndtplgtdt0 @ W4 @ xR @ W3 )
& ( aReductOfIn0 @ W4 @ W1 @ xR )
& ( aElement0 @ W4 ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_14,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_15,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 )
& ( aElement0 @ W2 )
& ( zip_tseitin_1 @ W1 @ W0 )
& ( zip_tseitin_0 @ W2 @ W0 ) )
=> ? [W3: $i] : ( zip_tseitin_6 @ W3 @ W2 @ W1 ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ~ ( aElement0 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X1 )
| ( zip_tseitin_6 @ ( sk__18 @ X2 @ X0 ) @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl768,plain,
! [X0: $i] :
( ~ ( aElement0 @ sk__20 )
| ~ ( aElement0 @ sk__19 )
| ~ ( aElement0 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ sk__19 )
| ( zip_tseitin_6 @ ( sk__18 @ X0 @ sk__20 ) @ X0 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl85]) ).
thf(zip_derived_cl91,plain,
aElement0 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92,plain,
aElement0 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl777,plain,
! [X0: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ sk__19 )
| ( zip_tseitin_6 @ ( sk__18 @ X0 @ sk__20 ) @ X0 @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl768,zip_derived_cl91,zip_derived_cl92]) ).
thf(zip_derived_cl786,plain,
( ~ ( aElement0 @ sk__22 )
| ( zip_tseitin_6 @ ( sk__18 @ sk__22 @ sk__20 ) @ sk__22 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl777]) ).
thf(zip_derived_cl93,plain,
aElement0 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl790,plain,
zip_tseitin_6 @ ( sk__18 @ sk__22 @ sk__20 ) @ sk__22 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl93]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( zip_tseitin_6 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl913,plain,
sdtmndtasgtdt0 @ sk__22 @ xR @ ( sk__18 @ sk__22 @ sk__20 ),
inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl80]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
( ~ ( sdtmndtasgtdt0 @ sk__22 @ xR @ X0 )
| ~ ( sdtmndtasgtdt0 @ sk__20 @ xR @ X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl929,plain,
( ~ ( sdtmndtasgtdt0 @ sk__20 @ xR @ ( sk__18 @ sk__22 @ sk__20 ) )
| ~ ( aElement0 @ ( sk__18 @ sk__22 @ sk__20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl913,zip_derived_cl103]) ).
thf(zip_derived_cl790_001,plain,
zip_tseitin_6 @ ( sk__18 @ sk__22 @ sk__20 ) @ sk__22 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl93]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aElement0 @ X0 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl915,plain,
aElement0 @ ( sk__18 @ sk__22 @ sk__20 ),
inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl84]) ).
thf(zip_derived_cl940,plain,
~ ( sdtmndtasgtdt0 @ sk__20 @ xR @ ( sk__18 @ sk__22 @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl929,zip_derived_cl915]) ).
thf(zip_derived_cl790_002,plain,
zip_tseitin_6 @ ( sk__18 @ sk__22 @ sk__20 ) @ sk__22 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl786,zip_derived_cl93]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndtasgtdt0 @ X0 @ xR @ X1 )
| ~ ( zip_tseitin_6 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl916,plain,
sdtmndtasgtdt0 @ sk__20 @ xR @ ( sk__18 @ sk__22 @ sk__20 ),
inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl82]) ).
thf(zip_derived_cl958,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl940,zip_derived_cl916]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : COM023+4 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PbOdHUBmKU true
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Aug 29 13:29:31 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in FO mode
% 0.14/0.49 % Total configuration time : 435
% 0.14/0.49 % Estimated wc time : 1092
% 0.14/0.49 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.55 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.59 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.14/0.77 % Solved by fo/fo13.sh.
% 1.14/0.77 % done 252 iterations in 0.190s
% 1.14/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.14/0.77 % SZS output start Refutation
% See solution above
% 1.14/0.77
% 1.14/0.77
% 1.14/0.77 % Terminating...
% 1.14/0.79 % Runner terminated.
% 1.14/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------