TSTP Solution File: SEU667^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU667^2 : 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.LcbVoaxHlQ true
% Computer : n014.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 19:15:55 EDT 2023
% Result : Theorem 0.22s 0.76s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 19
% Syntax : Number of formulae : 25 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 59 ( 17 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 210 ( 2 ~; 0 |; 27 &; 174 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-3 aty)
% ( 0 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 75 ( 37 ^; 24 !; 14 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(dpsetconstrSub_type,type,
dpsetconstrSub: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $o ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(dpsetconstrSub,axiom,
( dpsetconstrSub
= ( ! [A: $i,B: $i,Xphi: $i > $i > $o] :
( subset
@ ( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) )
@ ( cartprod @ A @ B ) ) ) ) ).
thf('0',plain,
( dpsetconstrSub
= ( ! [X4: $i,X6: $i,X8: $i > $i > $o] :
( subset
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) )
@ ( cartprod @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(dpsetconstr,axiom,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('1',plain,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[dpsetconstr]) ).
thf('2',plain,
( dpsetconstr
= ( ^ [V_1: $i,V_2: $i,V_3: $i > $i > $o] :
( dsetconstr @ ( cartprod @ V_1 @ V_2 )
@ ^ [V_4: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_4
= ( kpair @ X4 @ X6 ) )
& ( V_3 @ X4 @ X6 )
& ( in @ X6 @ V_2 ) )
& ( in @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('3',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('4',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(setOfPairsIsBReln,conjecture,
( dpsetconstrSub
=> ! [A: $i,B: $i,Xphi: $i > $i > $o] :
( breln @ A @ B
@ ( dpsetconstr @ A @ B
@ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i > $i > $o] :
( subset
@ ( dsetconstr @ ( cartprod @ X4 @ X6 )
@ ^ [V_1: $i] :
? [X10: $i] :
( ( in @ X10 @ X4 )
& ? [X12: $i] :
( ( in @ X12 @ X6 )
& ( X8 @ X10 @ X12 )
& ( V_1
= ( kpair @ X10 @ X12 ) ) ) ) )
@ ( cartprod @ X4 @ X6 ) )
=> ! [X14: $i,X16: $i,X18: $i > $i > $o] :
( subset
@ ( dsetconstr @ ( cartprod @ X14 @ X16 )
@ ^ [V_2: $i] :
? [X20: $i] :
( ( in @ X20 @ X14 )
& ? [X22: $i] :
( ( in @ X22 @ X16 )
& ( X18 @ X20 @ X22 )
& ( V_2
= ( kpair @ X20 @ X22 ) ) ) ) )
@ ( cartprod @ X14 @ X16 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i > $i > $o] :
( subset
@ ( dsetconstr @ ( cartprod @ X4 @ X6 )
@ ^ [V_1: $i] :
? [X10: $i] :
( ( in @ X10 @ X4 )
& ? [X12: $i] :
( ( in @ X12 @ X6 )
& ( X8 @ X10 @ X12 )
& ( V_1
= ( kpair @ X10 @ X12 ) ) ) ) )
@ ( cartprod @ X4 @ X6 ) )
=> ! [X14: $i,X16: $i,X18: $i > $i > $o] :
( subset
@ ( dsetconstr @ ( cartprod @ X14 @ X16 )
@ ^ [V_2: $i] :
? [X20: $i] :
( ( in @ X20 @ X14 )
& ? [X22: $i] :
( ( in @ X22 @ X16 )
& ( X18 @ X20 @ X22 )
& ( V_2
= ( kpair @ X20 @ X22 ) ) ) ) )
@ ( cartprod @ X14 @ X16 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( subset
@ ( dsetconstr @ ( cartprod @ sk__3 @ sk__4 )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__3 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__4 )
& ( sk__5 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) ) )
@ ( cartprod @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i > $i > $o] :
( subset
@ ( dsetconstr @ ( cartprod @ X0 @ X1 )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ X0 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ X1 )
& ( X2 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) ) )
@ ( cartprod @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU667^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LcbVoaxHlQ true
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 14:53:19 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % Solved by lams/40_c.s.sh.
% 0.22/0.76 % done 1 iterations in 0.009s
% 0.22/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.76 % SZS output start Refutation
% See solution above
% 0.22/0.76
% 0.22/0.76
% 0.22/0.77 % Terminating...
% 0.58/0.87 % Runner terminated.
% 1.62/0.88 % Zipperpin 1.5 exiting
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