TSTP Solution File: SEU681^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU681^2 : 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.gk4wOfhUUh true
% Computer : n015.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 19:16:07 EDT 2023
% Result : Theorem 0.11s 0.52s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 44 ( 12 unt; 14 typ; 0 def)
% Number of atoms : 118 ( 13 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 434 ( 39 ~; 36 |; 8 &; 315 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 96 ( 9 ^; 79 !; 8 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__8_type,type,
sk__8: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartprodmempair1_type,type,
cartprodmempair1: $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__13_type,type,
sk__13: $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('0',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('1',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
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('2',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(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('3',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(brelnall1,conjecture,
( subsetE
=> ( cartprodmempair1
=> ! [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 @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( cartprod @ X10 @ X12 ) )
=> ? [X16: $i] :
( ? [X18: $i] :
( ( X14
= ( kpair @ X16 @ X18 ) )
& ( in @ X18 @ X12 ) )
& ( in @ X16 @ X10 ) ) )
=> ! [X20: $i,X22: $i,X24: $i] :
( ( subset @ X24 @ ( cartprod @ X20 @ X22 ) )
=> ! [X26: $i > $o] :
( ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ! [X30: $i] :
( ( in @ X30 @ X22 )
=> ( ( in @ ( kpair @ X28 @ X30 ) @ X24 )
=> ( X26 @ ( kpair @ X28 @ X30 ) ) ) ) )
=> ! [X32: $i] :
( ( in @ X32 @ X24 )
=> ( X26 @ X32 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ ( cartprod @ X10 @ X12 ) )
=> ? [X16: $i] :
( ? [X18: $i] :
( ( X14
= ( kpair @ X16 @ X18 ) )
& ( in @ X18 @ X12 ) )
& ( in @ X16 @ X10 ) ) )
=> ! [X20: $i,X22: $i,X24: $i] :
( ( subset @ X24 @ ( cartprod @ X20 @ X22 ) )
=> ! [X26: $i > $o] :
( ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ! [X30: $i] :
( ( in @ X30 @ X22 )
=> ( ( in @ ( kpair @ X28 @ X30 ) @ X24 )
=> ( X26 @ ( kpair @ X28 @ X30 ) ) ) ) )
=> ! [X32: $i] :
( ( in @ X32 @ X24 )
=> ( X26 @ X32 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X5: $i,X6: $i,X7: $i] :
( ( in @ ( sk__9 @ X5 @ X6 @ X7 ) @ X6 )
| ~ ( in @ X5 @ ( cartprod @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X5: $i,X6: $i,X7: $i] :
( ( in @ ( sk__8 @ X5 @ X6 @ X7 ) @ X7 )
| ~ ( in @ X5 @ ( cartprod @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X5: $i,X6: $i,X7: $i] :
( ( X5
= ( kpair @ ( sk__8 @ X5 @ X6 @ X7 ) @ ( sk__9 @ X5 @ X6 @ X7 ) ) )
| ~ ( in @ X5 @ ( cartprod @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_001,plain,
! [X5: $i,X6: $i,X7: $i] :
( ( X5
= ( kpair @ ( sk__8 @ X5 @ X6 @ X7 ) @ ( sk__9 @ X5 @ X6 @ X7 ) ) )
| ~ ( in @ X5 @ ( cartprod @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i] :
( ~ ( in @ X3 @ sk__11 )
| ( sk__13 @ ( kpair @ X4 @ X3 ) )
| ~ ( in @ ( kpair @ X4 @ X3 ) @ sk__12 )
| ~ ( in @ X4 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk__13 @ X0 )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ~ ( in @ ( sk__8 @ X0 @ X2 @ X1 ) @ sk__10 )
| ~ ( in @ ( kpair @ ( sk__8 @ X0 @ X2 @ X1 ) @ ( sk__9 @ X0 @ X2 @ X1 ) ) @ sk__12 )
| ~ ( in @ ( sk__9 @ X0 @ X2 @ X1 ) @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ sk__12 )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ~ ( in @ ( sk__9 @ X0 @ X2 @ X1 ) @ sk__11 )
| ~ ( in @ ( sk__8 @ X0 @ X2 @ X1 ) @ sk__10 )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ( sk__13 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk__13 @ X0 )
| ~ ( in @ ( sk__8 @ X0 @ X2 @ X1 ) @ sk__10 )
| ~ ( in @ ( sk__9 @ X0 @ X2 @ X1 ) @ sk__11 )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ~ ( in @ X0 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( cartprod @ sk__10 @ X0 ) )
| ~ ( in @ X1 @ sk__12 )
| ~ ( in @ X1 @ ( cartprod @ sk__10 @ X0 ) )
| ~ ( in @ ( sk__9 @ X1 @ X0 @ sk__10 ) @ sk__11 )
| ( sk__13 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( sk__13 @ X1 )
| ~ ( in @ ( sk__9 @ X1 @ X0 @ sk__10 ) @ sk__11 )
| ~ ( in @ X1 @ sk__12 )
| ~ ( in @ X1 @ ( cartprod @ sk__10 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( cartprod @ sk__10 @ sk__11 ) )
| ~ ( in @ X0 @ ( cartprod @ sk__10 @ sk__11 ) )
| ~ ( in @ X0 @ sk__12 )
| ( sk__13 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
| ~ ( in @ X0 @ sk__12 )
| ~ ( in @ X0 @ ( cartprod @ sk__10 @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl4,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X2 @ X1 )
| ~ ( in @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__12 )
| ( in @ X0 @ ( cartprod @ sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__12 )
| ( sk__13 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl8]) ).
thf(zip_derived_cl2,plain,
~ ( sk__13 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
~ ( in @ sk__14 @ sk__12 ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
in @ sk__14 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU681^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gk4wOfhUUh true
% 0.07/0.26 % Computer : n015.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Wed Aug 23 13:15:04 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Running portfolio for 300 s
% 0.07/0.26 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.26 % Python version: Python 3.6.8
% 0.07/0.27 % Running in HO mode
% 0.11/0.42 % Total configuration time : 828
% 0.11/0.42 % Estimated wc time : 1656
% 0.11/0.42 % Estimated cpu time (8 cpus) : 207.0
% 0.11/0.48 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.11/0.48 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.11/0.49 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.11/0.50 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.11/0.50 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.11/0.52 % Solved by lams/40_c.s.sh.
% 0.11/0.52 % done 14 iterations in 0.018s
% 0.11/0.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.11/0.52 % SZS output start Refutation
% See solution above
% 0.11/0.52
% 0.11/0.52
% 0.11/0.52 % Terminating...
% 0.11/0.63 % Runner terminated.
% 0.11/0.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------