TSTP Solution File: SEU779^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU779^2 : 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.VXDPgJAkR2 true
% Computer : n002.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 19:17:33 EDT 2023
% Result : Theorem 0.22s 0.80s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 43 ( 17 unt; 15 typ; 0 def)
% Number of atoms : 115 ( 11 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 433 ( 20 ~; 13 |; 18 &; 342 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 9 con; 0-3 aty)
% ( 0 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 106 ( 52 ^; 49 !; 5 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(dpsetconstrI_type,type,
dpsetconstrI: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(breln1compset_type,type,
breln1compset: $i > $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(breln1compset,axiom,
( breln1compset
= ( ^ [A: $i,R: $i,S: $i] :
( dpsetconstr @ A @ A
@ ^ [Xx: $i,Xy: $i] :
? [Xz: $i] :
( ( in @ ( kpair @ Xz @ Xy ) @ S )
& ( in @ ( kpair @ Xx @ Xz ) @ R )
& ( in @ Xz @ A ) ) ) ) ) ).
thf('0',plain,
( breln1compset
= ( ^ [A: $i,R: $i,S: $i] :
( dpsetconstr @ A @ A
@ ^ [Xx: $i,Xy: $i] :
? [Xz: $i] :
( ( in @ ( kpair @ Xz @ Xy ) @ S )
& ( in @ ( kpair @ Xx @ Xz ) @ R )
& ( in @ Xz @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1compset]) ).
thf('1',plain,
( breln1compset
= ( ^ [V_1: $i,V_2: $i,V_3: $i] :
( dpsetconstr @ V_1 @ V_1
@ ^ [V_4: $i,V_5: $i] :
? [X4: $i] :
( ( in @ ( kpair @ X4 @ V_5 ) @ V_3 )
& ( in @ ( kpair @ V_4 @ X4 ) @ V_2 )
& ( in @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(breln1,axiom,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('2',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('3',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1,'3']) ).
thf('5',plain,
( breln1
= ( ^ [V_1: $i,V_2: $i] : ( breln @ V_1 @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(dpsetconstrI,axiom,
( dpsetconstrI
= ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xphi @ Xx @ Xy )
=> ( in @ ( kpair @ Xx @ Xy )
@ ( dpsetconstr @ A @ B
@ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) ) ) ) ) ) ) ).
thf('6',plain,
( dpsetconstrI
= ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( ( X8 @ X10 @ X12 )
=> ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1compI,conjecture,
( dpsetconstrI
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ! [Xz: $i] :
( ( in @ Xz @ A )
=> ( ( in @ ( kpair @ Xx @ Xz ) @ R )
=> ( ( in @ ( kpair @ Xz @ Xy ) @ S )
=> ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( ( X8 @ X10 @ X12 )
=> ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ) )
=> ! [X14: $i,X16: $i] :
( ( subset @ X16 @ ( cartprod @ X14 @ X14 ) )
=> ! [X18: $i] :
( ( subset @ X18 @ ( cartprod @ X14 @ X14 ) )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ! [X24: $i] :
( ( in @ X24 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X24 ) @ X16 )
=> ( ( in @ ( kpair @ X24 @ X22 ) @ X18 )
=> ( in @ ( kpair @ X20 @ X22 )
@ ( dpsetconstr @ X14 @ X14
@ ^ [V_3: $i,V_4: $i] :
? [X26: $i] :
( ( in @ X26 @ X14 )
& ( in @ ( kpair @ V_3 @ X26 ) @ X16 )
& ( in @ ( kpair @ X26 @ V_4 ) @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( ( X8 @ X10 @ X12 )
=> ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ) )
=> ! [X14: $i,X16: $i] :
( ( subset @ X16 @ ( cartprod @ X14 @ X14 ) )
=> ! [X18: $i] :
( ( subset @ X18 @ ( cartprod @ X14 @ X14 ) )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ! [X24: $i] :
( ( in @ X24 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X24 ) @ X16 )
=> ( ( in @ ( kpair @ X24 @ X22 ) @ X18 )
=> ( in @ ( kpair @ X20 @ X22 )
@ ( dpsetconstr @ X14 @ X14
@ ^ [V_3: $i,V_4: $i] :
? [X26: $i] :
( ( in @ X26 @ X14 )
& ( in @ ( kpair @ V_3 @ X26 ) @ X16 )
& ( in @ ( kpair @ X26 @ V_4 ) @ X18 ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
in @ ( kpair @ sk__10 @ sk__9 ) @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( kpair @ X2 @ X0 )
@ ( dpsetconstr @ X3 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) )
| ~ ( X4 @ X2 @ X0 )
| ~ ( in @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( kpair @ X2 @ X0 ) @ ( dpsetconstr @ X3 @ X1 @ X4 ) )
| ~ ( X4 @ X2 @ X0 )
| ~ ( in @ X2 @ X3 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( in @ ( kpair @ sk__8 @ sk__9 )
@ ( dpsetconstr @ sk__5 @ sk__5
@ ^ [Y0: $i,Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__5 )
& ( in @ ( kpair @ Y0 @ Y2 ) @ sk__6 )
& ( in @ ( kpair @ Y2 @ Y1 ) @ sk__7 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
( ~ ( in @ sk__8 @ sk__5 )
| ~ ( ^ [Y0: $i,Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__5 )
& ( in @ ( kpair @ Y0 @ Y2 ) @ sk__6 )
& ( in @ ( kpair @ Y2 @ Y1 ) @ sk__7 ) ) )
@ sk__8
@ sk__9 )
| ~ ( in @ sk__9 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).
thf(zip_derived_cl41,plain,
( ~ ( in @ sk__8 @ sk__5 )
| ~ ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__5 )
& ( in @ ( kpair @ sk__8 @ Y0 ) @ sk__6 )
& ( in @ ( kpair @ Y0 @ sk__9 ) @ sk__7 ) ) )
| ~ ( in @ sk__9 @ sk__5 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl10]) ).
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_cl42,plain,
~ ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ sk__5 )
& ( in @ ( kpair @ sk__8 @ Y0 ) @ sk__6 )
& ( in @ ( kpair @ Y0 @ sk__9 ) @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ~ ( in @ ( kpair @ X0 @ sk__9 ) @ sk__7 )
| ~ ( in @ ( kpair @ sk__8 @ X0 ) @ sk__6 )
| ~ ( in @ X0 @ sk__5 ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl49,plain,
( ~ ( in @ sk__10 @ sk__5 )
| ~ ( in @ ( kpair @ sk__8 @ sk__10 ) @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl48]) ).
thf(zip_derived_cl6,plain,
in @ sk__10 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
in @ ( kpair @ sk__8 @ sk__10 ) @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl51,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl6,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU779^2 : 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.VXDPgJAkR2 true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 16:20:01 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.69 % Total configuration time : 828
% 0.22/0.69 % Estimated wc time : 1656
% 0.22/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.80 % Solved by lams/40_c.s.sh.
% 0.22/0.80 % done 9 iterations in 0.050s
% 0.22/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.80 % SZS output start Refutation
% See solution above
% 0.22/0.80
% 0.22/0.80
% 0.22/0.80 % Terminating...
% 1.53/0.88 % Runner terminated.
% 1.74/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------