TSTP Solution File: SEU736^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU736^2 : 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.fOMZ3SPwxb true
% Computer : n004.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 19:16:51 EDT 2023
% Result : Theorem 1.26s 0.78s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 32 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 94 ( 4 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 315 ( 27 ~; 15 |; 0 &; 224 @)
% ( 0 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(setminusI_type,type,
setminusI: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(contrasubsetT_type,type,
contrasubsetT: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(contrasubsetT,axiom,
( contrasubsetT
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( subset @ X @ ( setminus @ A @ Y ) )
=> ( ( in @ Xx @ Y )
=> ~ ( in @ Xx @ X ) ) ) ) ) ) ) ) ).
thf('0',plain,
( contrasubsetT
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( subset @ X6 @ ( setminus @ X4 @ X8 ) )
=> ( ( in @ X10 @ X8 )
=> ~ ( in @ X10 @ X6 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(setminusI,axiom,
( setminusI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
thf('1',plain,
( setminusI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(contraSubsetComplement,conjecture,
( setminusI
=> ( contrasubsetT
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ( subset @ X @ ( setminus @ A @ Y ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ Y )
=> ( in @ Xx @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ! [X16: $i] :
( ( in @ X16 @ X10 )
=> ( ( subset @ X12 @ ( setminus @ X10 @ X14 ) )
=> ( ( in @ X16 @ X14 )
=> ~ ( in @ X16 @ X12 ) ) ) ) ) )
=> ! [X18: $i,X20: $i] :
( ( in @ X20 @ ( powerset @ X18 ) )
=> ! [X22: $i] :
( ( in @ X22 @ ( powerset @ X18 ) )
=> ( ( subset @ X20 @ ( setminus @ X18 @ X22 ) )
=> ! [X24: $i] :
( ( in @ X24 @ X18 )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ ( setminus @ X18 @ X20 ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ! [X16: $i] :
( ( in @ X16 @ X10 )
=> ( ( subset @ X12 @ ( setminus @ X10 @ X14 ) )
=> ( ( in @ X16 @ X14 )
=> ~ ( in @ X16 @ X12 ) ) ) ) ) )
=> ! [X18: $i,X20: $i] :
( ( in @ X20 @ ( powerset @ X18 ) )
=> ! [X22: $i] :
( ( in @ X22 @ ( powerset @ X18 ) )
=> ( ( subset @ X20 @ ( setminus @ X18 @ X22 ) )
=> ! [X24: $i] :
( ( in @ X24 @ X18 )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ ( setminus @ X18 @ X20 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
in @ sk__10 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
subset @ sk__8 @ ( setminus @ sk__7 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( in @ X3 @ ( powerset @ X4 ) )
| ~ ( subset @ X5 @ ( setminus @ X4 @ X3 ) )
| ~ ( in @ X6 @ X5 )
| ~ ( in @ X6 @ X3 )
| ~ ( in @ X6 @ X4 )
| ~ ( in @ X5 @ ( powerset @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( in @ sk__8 @ ( powerset @ sk__7 ) )
| ~ ( in @ X0 @ sk__7 )
| ~ ( in @ X0 @ sk__9 )
| ~ ( in @ X0 @ sk__8 )
| ~ ( in @ sk__9 @ ( powerset @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl6,plain,
in @ sk__8 @ ( powerset @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
in @ sk__9 @ ( powerset @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__7 )
| ~ ( in @ X0 @ sk__9 )
| ~ ( in @ X0 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl28,plain,
( ~ ( in @ sk__10 @ sk__8 )
| ~ ( in @ sk__10 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl26]) ).
thf(zip_derived_cl4_001,plain,
in @ sk__10 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ( in @ X0 @ ( setminus @ X2 @ X1 ) )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( in @ sk__10 @ ( setminus @ sk__7 @ X0 ) )
| ( in @ sk__10 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( in @ sk__10 @ ( setminus @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl18,plain,
in @ sk__10 @ sk__8,
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
in @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl30,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl18,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU736^2 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fOMZ3SPwxb true
% 0.13/0.34 % Computer : n004.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 20:01:23 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.62 % Total configuration time : 828
% 0.21/0.62 % Estimated wc time : 1656
% 0.21/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.26/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.26/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.26/0.78 % Solved by lams/40_c.s.sh.
% 1.26/0.78 % done 14 iterations in 0.013s
% 1.26/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.26/0.78 % SZS output start Refutation
% See solution above
% 1.26/0.78
% 1.26/0.78
% 1.26/0.78 % Terminating...
% 1.26/0.84 % Runner terminated.
% 1.26/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------