TSTP Solution File: SEU777^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU777^2 : 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.YFji6Ec7Um true
% Computer : n031.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 19:17:30 EDT 2023
% Result : Theorem 1.22s 0.82s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 34 ( 17 unt; 13 typ; 0 def)
% Number of atoms : 58 ( 11 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 218 ( 4 ~; 2 |; 0 &; 193 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 87 ( 45 ^; 42 !; 0 ?; 87 :)
% 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(kpair_type,type,
kpair: $i > $i > $i ).
thf(dpsetconstrER_type,type,
dpsetconstrER: $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(breln1invset_type,type,
breln1invset: $i > $i > $i ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(breln1invset,axiom,
( breln1invset
= ( ^ [A: $i,R: $i] :
( dpsetconstr @ A @ A
@ ^ [Xx: $i,Xy: $i] : ( in @ ( kpair @ Xy @ Xx ) @ R ) ) ) ) ).
thf('0',plain,
( breln1invset
= ( ^ [A: $i,R: $i] :
( dpsetconstr @ A @ A
@ ^ [Xx: $i,Xy: $i] : ( in @ ( kpair @ Xy @ Xx ) @ R ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1invset]) ).
thf('1',plain,
( breln1invset
= ( ^ [V_1: $i,V_2: $i] :
( dpsetconstr @ V_1 @ V_1
@ ^ [V_3: $i,V_4: $i] : ( in @ ( kpair @ V_4 @ V_3 ) @ V_2 ) ) ) ),
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(dpsetconstrER,axiom,
( dpsetconstrER
= ( ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy )
@ ( dpsetconstr @ A @ B
@ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
=> ( Xphi @ Xx @ Xy ) ) ) ) ).
thf('6',plain,
( dpsetconstrER
= ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i,X12: $i] :
( ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) )
=> ( X8 @ X10 @ X12 ) ) ) ),
define([status(thm)]) ).
thf(breln1invE,conjecture,
( dpsetconstrER
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xy @ Xx ) @ ( breln1invset @ A @ R ) )
=> ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i,X12: $i] :
( ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) )
=> ( X8 @ X10 @ X12 ) )
=> ! [X14: $i,X16: $i] :
( ( subset @ X16 @ ( cartprod @ X14 @ X14 ) )
=> ! [X18: $i] :
( ( in @ X18 @ X14 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X18 )
@ ( dpsetconstr @ X14 @ X14
@ ^ [V_3: $i,V_4: $i] : ( in @ ( kpair @ V_4 @ V_3 ) @ X16 ) ) )
=> ( in @ ( kpair @ X18 @ X20 ) @ X16 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i > $i > $o,X10: $i,X12: $i] :
( ( in @ ( kpair @ X10 @ X12 )
@ ( dpsetconstr @ X4 @ X6
@ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) )
=> ( X8 @ X10 @ X12 ) )
=> ! [X14: $i,X16: $i] :
( ( subset @ X16 @ ( cartprod @ X14 @ X14 ) )
=> ! [X18: $i] :
( ( in @ X18 @ X14 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ( ( in @ ( kpair @ X20 @ X18 )
@ ( dpsetconstr @ X14 @ X14
@ ^ [V_3: $i,V_4: $i] : ( in @ ( kpair @ V_4 @ V_3 ) @ X16 ) ) )
=> ( in @ ( kpair @ X18 @ X20 ) @ X16 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( in @ ( kpair @ sk__7 @ sk__8 ) @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
( in @ ( kpair @ sk__8 @ sk__7 )
@ ( dpsetconstr @ sk__5 @ sk__5
@ ^ [Y0: $i,Y1: $i] : ( in @ ( kpair @ Y1 @ Y0 ) @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 @ X1 @ X2 )
| ~ ( in @ ( kpair @ X1 @ X2 )
@ ( dpsetconstr @ X3 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 @ X1 @ X2 )
| ~ ( in @ ( kpair @ X1 @ X2 ) @ ( dpsetconstr @ X3 @ X4 @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
( ^ [Y0: $i,Y1: $i] : ( in @ ( kpair @ Y1 @ Y0 ) @ sk__6 )
@ sk__8
@ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl16,plain,
in @ ( kpair @ sk__7 @ sk__8 ) @ sk__6,
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEU777^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YFji6Ec7Um true
% 0.16/0.37 % Computer : n031.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 23 18:36:20 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.38 % Running in HO mode
% 0.23/0.69 % Total configuration time : 828
% 0.23/0.69 % Estimated wc time : 1656
% 0.23/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.22/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.22/0.82 % Solved by lams/40_c_ic.sh.
% 1.22/0.82 % done 6 iterations in 0.026s
% 1.22/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.82 % SZS output start Refutation
% See solution above
% 1.22/0.82
% 1.22/0.82
% 1.22/0.82 % Terminating...
% 1.22/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.59/0.90 % Runner terminated.
% 1.79/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------