TSTP Solution File: SEU584^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU584^2 : 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.1kfy9Znj0g true
% Computer : n001.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 19:14:09 EDT 2023
% Result : Theorem 0.23s 0.77s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of formulae : 27 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 45 ( 7 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 150 ( 6 ~; 3 |; 0 &; 124 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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 : 41 ( 6 ^; 35 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(setunionI_type,type,
setunionI: $o ).
thf(upairset2IR_type,type,
upairset2IR: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(upairset2IR,axiom,
( upairset2IR
= ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
thf('0',plain,
( upairset2IR
= ( ! [X4: $i,X6: $i] : ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(binunion,axiom,
( binunion
= ( ^ [Xx: $i,Xy: $i] : ( setunion @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
thf('1',plain,
( binunion
= ( ^ [Xx: $i,Xy: $i] : ( setunion @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[binunion]) ).
thf('2',plain,
( binunion
= ( ^ [V_1: $i,V_2: $i] : ( setunion @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(setunionI,axiom,
( setunionI
= ( ! [A: $i,Xx: $i,B: $i] :
( ( in @ Xx @ B )
=> ( ( in @ B @ A )
=> ( in @ Xx @ ( setunion @ A ) ) ) ) ) ) ).
thf('3',plain,
( setunionI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ X8 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X6 @ ( setunion @ X4 ) ) ) ) ) ),
define([status(thm)]) ).
thf(binunionIR,conjecture,
( setunionI
=> ( upairset2IR
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ X8 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X6 @ ( setunion @ X4 ) ) ) )
=> ( ! [X10: $i,X12: $i] : ( in @ X12 @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) )
=> ! [X14: $i,X16: $i,X18: $i] :
( ( in @ X18 @ X16 )
=> ( in @ X18 @ ( setunion @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ X8 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X6 @ ( setunion @ X4 ) ) ) )
=> ( ! [X10: $i,X12: $i] : ( in @ X12 @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) )
=> ! [X14: $i,X16: $i,X18: $i] :
( ( in @ X18 @ X16 )
=> ( in @ X18 @ ( setunion @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
in @ sk__7 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( setunion @ X1 ) )
| ~ ( in @ X0 @ X2 )
| ~ ( in @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( in @ sk__6 @ X0 )
| ( in @ sk__7 @ ( setunion @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
~ ( in @ sk__7 @ ( setunion @ ( setadjoin @ sk__5 @ ( setadjoin @ sk__6 @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
~ ( in @ sk__6 @ ( setadjoin @ sk__5 @ ( setadjoin @ sk__6 @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X3: $i,X4: $i] : ( in @ X3 @ ( setadjoin @ X4 @ ( setadjoin @ X3 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU584^2 : 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.1kfy9Znj0g true
% 0.19/0.35 % Computer : n001.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Wed Aug 23 22:09:10 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.19/0.36 % Running portfolio for 300 s
% 0.19/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.36 % Running in HO mode
% 0.23/0.67 % Total configuration time : 828
% 0.23/0.67 % Estimated wc time : 1656
% 0.23/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.23/0.77 % Solved by lams/40_c.s.sh.
% 0.23/0.77 % done 4 iterations in 0.010s
% 0.23/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.77 % SZS output start Refutation
% See solution above
% 0.23/0.77
% 0.23/0.77
% 0.23/0.77 % Terminating...
% 0.23/0.87 % Runner terminated.
% 0.23/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------