TSTP Solution File: SEU787^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU787^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qvyNKHAMe8 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 19:17:40 EDT 2023
% Result : Theorem 0.19s 0.73s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 33 ( 12 unt; 11 typ; 0 def)
% Number of atoms : 93 ( 2 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 351 ( 27 ~; 26 |; 0 &; 248 @)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln1unionE_type,type,
breln1unionE: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__10_type,type,
sk__10: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(breln1unionE,axiom,
( breln1unionE
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
| ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( breln1unionE
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
| ( in @ ( kpair @ X10 @ X12 ) @ X8 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1unionEcases,conjecture,
( breln1unionE
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( binunion @ R @ S ) )
=> ! [Xphi: $o] :
( ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> Xphi )
=> ( ( ( in @ ( kpair @ Xx @ Xy ) @ S )
=> Xphi )
=> Xphi ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
| ( in @ ( kpair @ X10 @ X12 ) @ X8 ) ) ) ) ) ) )
=> ! [X14: $i,X16: $i] :
( ( breln1 @ X14 @ X16 )
=> ! [X18: $i] :
( ( breln1 @ X14 @ X18 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X22 ) @ ( binunion @ X16 @ X18 ) )
=> ! [X24: $o] :
( ( ( in @ ( kpair @ X20 @ X22 ) @ X16 )
=> X24 )
=> ( ( ( in @ ( kpair @ X20 @ X22 ) @ X18 )
=> X24 )
=> X24 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( binunion @ X6 @ X8 ) )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ X6 )
| ( in @ ( kpair @ X10 @ X12 ) @ X8 ) ) ) ) ) ) )
=> ! [X14: $i,X16: $i] :
( ( breln1 @ X14 @ X16 )
=> ! [X18: $i] :
( ( breln1 @ X14 @ X18 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X22 ) @ ( binunion @ X16 @ X18 ) )
=> ! [X24: $o] :
( ( ( in @ ( kpair @ X20 @ X22 ) @ X16 )
=> X24 )
=> ( ( ( in @ ( kpair @ X20 @ X22 ) @ X18 )
=> X24 )
=> X24 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
breln1 @ sk__5 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ ( kpair @ sk__8 @ sk__9 ) @ ( binunion @ sk__6 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( breln1 @ X0 @ X1 )
| ~ ( in @ X2 @ X0 )
| ( in @ ( kpair @ X3 @ X2 ) @ X1 )
| ( in @ ( kpair @ X3 @ X2 ) @ X4 )
| ~ ( in @ ( kpair @ X3 @ X2 ) @ ( binunion @ X4 @ X1 ) )
| ~ ( in @ X3 @ X0 )
| ~ ( breln1 @ X0 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( breln1 @ X0 @ sk__6 )
| ~ ( in @ sk__8 @ X0 )
| ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__6 )
| ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__7 )
| ~ ( in @ sk__9 @ X0 )
| ~ ( breln1 @ X0 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
( sk__10
| ~ ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
~ ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ~ ( breln1 @ X0 @ sk__6 )
| ~ ( in @ sk__8 @ X0 )
| ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__7 )
| ~ ( in @ sk__9 @ X0 )
| ~ ( breln1 @ X0 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl10]) ).
thf(zip_derived_cl3,plain,
( sk__10
| ~ ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_001,plain,
~ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
~ ( in @ ( kpair @ sk__8 @ sk__9 ) @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( breln1 @ X0 @ sk__7 )
| ~ ( in @ sk__9 @ X0 )
| ~ ( in @ sk__8 @ X0 )
| ~ ( breln1 @ X0 @ sk__6 ) ),
inference(clc,[status(thm)],[zip_derived_cl13,zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
( ~ ( breln1 @ sk__5 @ sk__6 )
| ~ ( in @ sk__8 @ sk__5 )
| ~ ( in @ sk__9 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).
thf(zip_derived_cl8,plain,
breln1 @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
in @ sk__8 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
in @ sk__9 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl8,zip_derived_cl7,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU787^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qvyNKHAMe8 true
% 0.13/0.34 % Computer : n018.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 : Wed Aug 23 16:18:11 EDT 2023
% 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
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in HO mode
% 0.19/0.65 % Total configuration time : 828
% 0.19/0.65 % Estimated wc time : 1656
% 0.19/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.73 % Solved by lams/40_c.s.sh.
% 0.19/0.73 % done 9 iterations in 0.021s
% 0.19/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.73 % SZS output start Refutation
% See solution above
% 0.19/0.73
% 0.19/0.73
% 0.19/0.73 % Terminating...
% 0.19/0.85 % Runner terminated.
% 0.19/0.86 % Zipperpin 1.5 exiting
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