TSTP Solution File: SEU659^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU659^2 : 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.TcFCFKB8uI true
% Computer : n025.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 19:15:37 EDT 2023
% Result : Theorem 0.20s 0.78s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 31 ( 10 unt; 12 typ; 0 def)
% Number of atoms : 59 ( 22 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 191 ( 9 ~; 7 |; 8 &; 150 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 71 ( 0 ^; 63 !; 8 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__14_type,type,
sk__14: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(setukpairinjL_type,type,
setukpairinjL: $o ).
thf(sk__13_type,type,
sk__13: $i > $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(cartprodmempair1_type,type,
cartprodmempair1: $o ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': $i > $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(setukpairinjL,axiom,
( setukpairinjL
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xx = Xz ) ) ) ) ).
thf('0',plain,
( setukpairinjL
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( kpair @ X4 @ X6 )
= ( kpair @ X8 @ X10 ) )
=> ( X4 = X8 ) ) ) ),
define([status(thm)]) ).
thf(cartprodmempair1,axiom,
( cartprodmempair1
= ( ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('1',plain,
( cartprodmempair1
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( kpair @ X10 @ X12 ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(cartprodpairmemEL,conjecture,
( cartprodmempair1
=> ( setukpairinjL
=> ! [A: $i,B: $i,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( kpair @ X10 @ X12 ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) )
=> ( ! [X14: $i,X16: $i,X18: $i,X20: $i] :
( ( ( kpair @ X14 @ X16 )
= ( kpair @ X18 @ X20 ) )
=> ( X14 = X18 ) )
=> ! [X22: $i,X24: $i,X26: $i,X28: $i] :
( ( in @ ( kpair @ X26 @ X28 ) @ ( cartprod @ X22 @ X24 ) )
=> ( in @ X26 @ X22 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( kpair @ X10 @ X12 ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) )
=> ( ! [X14: $i,X16: $i,X18: $i,X20: $i] :
( ( ( kpair @ X14 @ X16 )
= ( kpair @ X18 @ X20 ) )
=> ( X14 = X18 ) )
=> ! [X22: $i,X24: $i,X26: $i,X28: $i] :
( ( in @ ( kpair @ X26 @ X28 ) @ ( cartprod @ X22 @ X24 ) )
=> ( in @ X26 @ X22 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
in @ ( kpair @ sk__11 @ sk__12 ) @ ( cartprod @ sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( kpair @ ( sk__13 @ X0 @ X1 @ X2 ) @ ( sk__14 @ X0 @ X1 @ X2 ) ) )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X4 = X3 )
| ( ( kpair @ X4 @ X6 )
!= ( kpair @ X3 @ X5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl43,plain,
! [X4: $i,X6: $i] :
( ( '#_fresh_sk1' @ ( kpair @ X4 @ X6 ) )
= X4 ),
inference(inj_rec,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( '#_fresh_sk1' @ X0 )
= ( sk__13 @ X0 @ X2 @ X1 ) )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl43]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__13 @ X0 @ X1 @ X2 ) @ X2 )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( '#_fresh_sk1' @ X0 ) @ X1 )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl2]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ( in @ ( '#_fresh_sk1' @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl91,plain,
in @ ( '#_fresh_sk1' @ ( kpair @ sk__11 @ sk__12 ) ) @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl75]) ).
thf(zip_derived_cl43_001,plain,
! [X4: $i,X6: $i] :
( ( '#_fresh_sk1' @ ( kpair @ X4 @ X6 ) )
= X4 ),
inference(inj_rec,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl3,plain,
~ ( in @ sk__11 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl95,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl43,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU659^2 : 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.TcFCFKB8uI true
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 17:14:35 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78 % Solved by lams/40_c_ic.sh.
% 0.20/0.78 % done 13 iterations in 0.029s
% 0.20/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.78 % SZS output start Refutation
% See solution above
% 0.20/0.78
% 0.20/0.78
% 0.20/0.78 % Terminating...
% 1.74/0.85 % Runner terminated.
% 1.74/0.86 % Zipperpin 1.5 exiting
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