TSTP Solution File: SEU682^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU682^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JpbuizzW42 true
% Computer : n012.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 19:16:08 EDT 2023
% Result : Theorem 0.20s 0.75s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 16 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 74 ( 5 equ; 0 cnn)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 259 ( 2 ~; 0 |; 0 &; 185 @)
% ( 0 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-3 aty)
% ( 14 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 72 ( 23 ^; 49 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(brelnall1_type,type,
brelnall1: $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(brelnall1,axiom,
( brelnall1
= ( ! [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
=> ! [Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ R )
=> ( Xphi @ Xx ) ) ) ) ) ) ).
thf('0',plain,
( brelnall1
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( breln @ X4 @ X6 @ X8 )
=> ! [X10: $i > $o] :
( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X6 )
=> ( ( in @ ( kpair @ X12 @ X14 ) @ X8 )
=> ( X10 @ ( kpair @ X12 @ X14 ) ) ) ) )
=> ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ( X10 @ X16 ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('1',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('2',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(brelnall2,conjecture,
( brelnall1
=> ! [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
=> ! [Xphi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( Xphi @ ( kpair @ Xx @ Xy ) ) ) ) )
=> ! [Xx: $i] :
( ( in @ Xx @ R )
=> ( Xphi @ Xx ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ! [X10: $i > $o] :
( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X6 )
=> ( ( in @ ( kpair @ X12 @ X14 ) @ X8 )
=> ( X10 @ ( kpair @ X12 @ X14 ) ) ) ) )
=> ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ( X10 @ X16 ) ) ) )
=> ! [X18: $i,X20: $i,X22: $i] :
( ( subset @ X22 @ ( cartprod @ X18 @ X20 ) )
=> ! [X24: $i > $o] :
( ! [X26: $i] :
( ( in @ X26 @ X18 )
=> ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ( ( in @ ( kpair @ X26 @ X28 ) @ X22 )
=> ( X24 @ ( kpair @ X26 @ X28 ) ) ) ) )
=> ! [X30: $i] :
( ( in @ X30 @ X22 )
=> ( X24 @ X30 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ! [X10: $i > $o] :
( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X6 )
=> ( ( in @ ( kpair @ X12 @ X14 ) @ X8 )
=> ( X10 @ ( kpair @ X12 @ X14 ) ) ) ) )
=> ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ( X10 @ X16 ) ) ) )
=> ! [X18: $i,X20: $i,X22: $i] :
( ( subset @ X22 @ ( cartprod @ X18 @ X20 ) )
=> ! [X24: $i > $o] :
( ! [X26: $i] :
( ( in @ X26 @ X18 )
=> ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ( ( in @ ( kpair @ X26 @ X28 ) @ X22 )
=> ( X24 @ ( kpair @ X26 @ X28 ) ) ) ) )
=> ! [X30: $i] :
( ( in @ X30 @ X22 )
=> ( X24 @ X30 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
=> ( ( in @ ( kpair @ Y4 @ Y5 ) @ Y2 )
=> ( Y3 @ ( kpair @ Y4 @ Y5 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y2 )
=> ( Y3 @ Y4 ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
=> ( ( in @ ( kpair @ Y4 @ Y5 ) @ Y2 )
=> ( Y3 @ ( kpair @ Y4 @ Y5 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y2 )
=> ( Y3 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU682^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JpbuizzW42 true
% 0.13/0.34 % Computer : n012.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 14:33:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.20/0.63 % Total configuration time : 828
% 0.20/0.63 % Estimated wc time : 1656
% 0.20/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % Solved by lams/35_full_unif4.sh.
% 0.20/0.75 % done 0 iterations in 0.006s
% 0.20/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.75 % SZS output start Refutation
% See solution above
% 0.20/0.75
% 0.20/0.75
% 0.20/0.75 % Terminating...
% 1.36/0.85 % Runner terminated.
% 1.36/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------