TSTP Solution File: SET722+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET722+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0WHH4b8C4D true
% Computer : n018.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 Aug 31 16:15:44 EDT 2023
% Result : Theorem 25.91s 4.39s
% Output : Refutation 25.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 42 ( 5 unt; 13 typ; 0 def)
% Number of atoms : 78 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 514 ( 35 ~; 35 |; 8 &; 430 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 6 con; 0-5 aty)
% Number of variables : 66 ( 0 ^; 64 !; 2 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i > $i ).
thf(compose_function_type,type,
compose_function: $i > $i > $i > $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(maps_type,type,
maps: $i > $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(surjective_type,type,
surjective: $i > $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i > $i > $i > $i ).
thf(thII13,conjecture,
! [F: $i,G: $i,A: $i,B: $i,C: $i] :
( ( ( maps @ F @ A @ B )
& ( maps @ G @ B @ C )
& ( surjective @ ( compose_function @ G @ F @ A @ B @ C ) @ A @ C ) )
=> ( surjective @ G @ B @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [F: $i,G: $i,A: $i,B: $i,C: $i] :
( ( ( maps @ F @ A @ B )
& ( maps @ G @ B @ C )
& ( surjective @ ( compose_function @ G @ F @ A @ B @ C ) @ A @ C ) )
=> ( surjective @ G @ B @ C ) ),
inference('cnf.neg',[status(esa)],[thII13]) ).
thf(zip_derived_cl27,plain,
~ ( surjective @ sk__9 @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(surjective,axiom,
! [F: $i,A: $i,B: $i] :
( ( surjective @ F @ A @ B )
<=> ! [Y: $i] :
( ( member @ Y @ B )
=> ? [E: $i] :
( ( apply @ F @ E @ Y )
& ( member @ E @ A ) ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( surjective @ X0 @ X1 @ X2 )
| ( member @ ( sk__6 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[surjective]) ).
thf(zip_derived_cl28,plain,
surjective @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) @ sk__10 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ ( sk__7 @ X0 @ X3 @ X2 ) @ X0 )
| ~ ( surjective @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[surjective]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( apply @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ X0 )
| ~ ( member @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl21]) ).
thf(compose_function,axiom,
! [G: $i,F: $i,A: $i,B: $i,C: $i,X: $i,Z: $i] :
( ( ( member @ X @ A )
& ( member @ Z @ C ) )
=> ( ( apply @ ( compose_function @ G @ F @ A @ B @ C ) @ X @ Z )
<=> ? [Y: $i] :
( ( apply @ G @ Y @ Z )
& ( apply @ F @ X @ Y )
& ( member @ Y @ B ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X2 @ X3 )
| ( member @ ( sk__5 @ X2 @ X0 @ X4 @ X5 @ X6 ) @ X4 )
| ~ ( apply @ ( compose_function @ X6 @ X5 @ X1 @ X4 @ X3 ) @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[compose_function]) ).
thf(zip_derived_cl254,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__12 )
| ( member @ ( sk__5 @ X0 @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__11 @ sk__8 @ sk__9 ) @ sk__11 )
| ~ ( member @ X0 @ sk__12 )
| ~ ( member @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl18]) ).
thf(zip_derived_cl257,plain,
! [X0: $i] :
( ~ ( member @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__10 )
| ( member @ ( sk__5 @ X0 @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__11 @ sk__8 @ sk__9 ) @ sk__11 )
| ~ ( member @ X0 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl254]) ).
thf(zip_derived_cl28_001,plain,
surjective @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) @ sk__10 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ ( sk__7 @ X0 @ X2 @ X3 ) @ X2 )
| ~ ( surjective @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[surjective]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( member @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__10 )
| ~ ( member @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl20]) ).
thf(zip_derived_cl4669,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__12 )
| ( member @ ( sk__5 @ X0 @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__11 @ sk__8 @ sk__9 ) @ sk__11 ) ),
inference(clc,[status(thm)],[zip_derived_cl257,zip_derived_cl41]) ).
thf(zip_derived_cl42_002,plain,
! [X0: $i] :
( ( apply @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ X0 )
| ~ ( member @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl21]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X2 @ X3 )
| ( apply @ X4 @ ( sk__5 @ X2 @ X0 @ X5 @ X6 @ X4 ) @ X2 )
| ~ ( apply @ ( compose_function @ X4 @ X6 @ X1 @ X5 @ X3 ) @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[compose_function]) ).
thf(zip_derived_cl252,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__12 )
| ( apply @ sk__9 @ ( sk__5 @ X0 @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__11 @ sk__8 @ sk__9 ) @ X0 )
| ~ ( member @ X0 @ sk__12 )
| ~ ( member @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl16]) ).
thf(zip_derived_cl255,plain,
! [X0: $i] :
( ~ ( member @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__10 )
| ( apply @ sk__9 @ ( sk__5 @ X0 @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__11 @ sk__8 @ sk__9 ) @ X0 )
| ~ ( member @ X0 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl252]) ).
thf(zip_derived_cl41_003,plain,
! [X0: $i] :
( ( member @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__10 )
| ~ ( member @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl20]) ).
thf(zip_derived_cl6116,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__12 )
| ( apply @ sk__9 @ ( sk__5 @ X0 @ ( sk__7 @ X0 @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__11 @ sk__8 @ sk__9 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl255,zip_derived_cl41]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( surjective @ X0 @ X1 @ X2 )
| ~ ( apply @ X0 @ X3 @ ( sk__6 @ X2 @ X1 @ X0 ) )
| ~ ( member @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[surjective]) ).
thf(zip_derived_cl6125,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__6 @ X1 @ X0 @ sk__9 ) @ sk__12 )
| ~ ( member @ ( sk__5 @ ( sk__6 @ X1 @ X0 @ sk__9 ) @ ( sk__7 @ ( sk__6 @ X1 @ X0 @ sk__9 ) @ sk__10 @ ( compose_function @ sk__9 @ sk__8 @ sk__10 @ sk__11 @ sk__12 ) ) @ sk__11 @ sk__8 @ sk__9 ) @ X0 )
| ( surjective @ sk__9 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6116,zip_derived_cl22]) ).
thf(zip_derived_cl6444,plain,
! [X0: $i] :
( ~ ( member @ ( sk__6 @ X0 @ sk__11 @ sk__9 ) @ sk__12 )
| ( surjective @ sk__9 @ sk__11 @ X0 )
| ~ ( member @ ( sk__6 @ X0 @ sk__11 @ sk__9 ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4669,zip_derived_cl6125]) ).
thf(zip_derived_cl6453,plain,
! [X0: $i] :
( ( surjective @ sk__9 @ sk__11 @ X0 )
| ~ ( member @ ( sk__6 @ X0 @ sk__11 @ sk__9 ) @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6444]) ).
thf(zip_derived_cl6458,plain,
( ( surjective @ sk__9 @ sk__11 @ sk__12 )
| ( surjective @ sk__9 @ sk__11 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl6453]) ).
thf(zip_derived_cl6461,plain,
surjective @ sk__9 @ sk__11 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl6458]) ).
thf(zip_derived_cl6464,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl6461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET722+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0WHH4b8C4D true
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat Aug 26 10:57:59 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.22/0.37 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 25.91/4.39 % Solved by fo/fo4.sh.
% 25.91/4.39 % done 679 iterations in 3.585s
% 25.91/4.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 25.91/4.39 % SZS output start Refutation
% See solution above
% 25.91/4.39
% 25.91/4.39
% 25.91/4.39 % Terminating...
% 26.58/4.49 % Runner terminated.
% 26.58/4.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------