TSTP Solution File: SEU781^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU781^2 : 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.pFjc76EWgn true
% Computer : n003.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 19:17:34 EDT 2023
% Result : Theorem 1.16s 0.82s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 47 ( 20 unt; 15 typ; 0 def)
% Number of atoms : 150 ( 8 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 661 ( 57 ~; 50 |; 8 &; 496 @)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-5 aty)
% Number of variables : 82 ( 15 ^; 63 !; 4 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__11_type,type,
sk__11: $o ).
thf(breln1compset_type,type,
breln1compset: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__12_type,type,
sk__12: $i > $i > $i > $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(breln1compE_type,type,
breln1compE: $o ).
thf(breln1compE,axiom,
( breln1compE
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
=> ? [Xz: $i] :
( ( in @ ( kpair @ Xz @ Xy ) @ S )
& ( in @ ( kpair @ Xx @ Xz ) @ R )
& ( in @ Xz @ A ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( breln1compE
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( breln1compset @ X4 @ X6 @ X8 ) )
=> ? [X14: $i] :
( ( in @ ( kpair @ X14 @ X12 ) @ X8 )
& ( in @ ( kpair @ X10 @ X14 ) @ X6 )
& ( in @ X14 @ X4 ) ) ) ) ) ) ) ) ),
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('1',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('2',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('3',plain,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1,'2']) ).
thf('4',plain,
( breln1
= ( ^ [V_1: $i,V_2: $i] : ( breln @ V_1 @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(breln1compEex,conjecture,
( breln1compE
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ ( breln1compset @ A @ R @ S ) )
=> ! [Xphi: $o] :
( ! [Xz: $i] :
( ( in @ Xz @ A )
=> ( ( in @ ( kpair @ Xx @ Xz ) @ R )
=> ( ( in @ ( kpair @ Xz @ Xy ) @ S )
=> Xphi ) ) )
=> Xphi ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ ( cartprod @ X4 @ X4 ) )
=> ! [X8: $i] :
( ( subset @ X8 @ ( cartprod @ X4 @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( breln1compset @ X4 @ X6 @ X8 ) )
=> ? [X14: $i] :
( ( in @ ( kpair @ X14 @ X12 ) @ X8 )
& ( in @ ( kpair @ X10 @ X14 ) @ X6 )
& ( in @ X14 @ X4 ) ) ) ) ) ) )
=> ! [X16: $i,X18: $i] :
( ( subset @ X18 @ ( cartprod @ X16 @ X16 ) )
=> ! [X20: $i] :
( ( subset @ X20 @ ( cartprod @ X16 @ X16 ) )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ! [X24: $i] :
( ( in @ X24 @ X16 )
=> ( ( in @ ( kpair @ X22 @ X24 ) @ ( breln1compset @ X16 @ X18 @ X20 ) )
=> ! [X26: $o] :
( ! [X28: $i] :
( ( in @ X28 @ X16 )
=> ( ( in @ ( kpair @ X22 @ X28 ) @ X18 )
=> ( ( in @ ( kpair @ X28 @ X24 ) @ X20 )
=> X26 ) ) )
=> X26 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( subset @ X6 @ ( cartprod @ X4 @ X4 ) )
=> ! [X8: $i] :
( ( subset @ X8 @ ( cartprod @ X4 @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ( ( in @ ( kpair @ X10 @ X12 ) @ ( breln1compset @ X4 @ X6 @ X8 ) )
=> ? [X14: $i] :
( ( in @ ( kpair @ X14 @ X12 ) @ X8 )
& ( in @ ( kpair @ X10 @ X14 ) @ X6 )
& ( in @ X14 @ X4 ) ) ) ) ) ) )
=> ! [X16: $i,X18: $i] :
( ( subset @ X18 @ ( cartprod @ X16 @ X16 ) )
=> ! [X20: $i] :
( ( subset @ X20 @ ( cartprod @ X16 @ X16 ) )
=> ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ! [X24: $i] :
( ( in @ X24 @ X16 )
=> ( ( in @ ( kpair @ X22 @ X24 ) @ ( breln1compset @ X16 @ X18 @ X20 ) )
=> ! [X26: $o] :
( ! [X28: $i] :
( ( in @ X28 @ X16 )
=> ( ( in @ ( kpair @ X22 @ X28 ) @ X18 )
=> ( ( in @ ( kpair @ X28 @ X24 ) @ X20 )
=> X26 ) ) )
=> X26 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( subset @ X0 @ ( cartprod @ X1 @ X1 ) )
| ~ ( in @ X2 @ X1 )
| ( in @ ( sk__12 @ X2 @ X3 @ X0 @ X4 @ X1 ) @ X1 )
| ~ ( in @ ( kpair @ X3 @ X2 ) @ ( breln1compset @ X1 @ X4 @ X0 ) )
| ~ ( in @ X3 @ X1 )
| ~ ( subset @ X4 @ ( cartprod @ X1 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( subset @ X0 @ ( cartprod @ X1 @ X1 ) )
| ~ ( in @ X2 @ X1 )
| ( in @ ( kpair @ X3 @ ( sk__12 @ X2 @ X3 @ X0 @ X4 @ X1 ) ) @ X4 )
| ~ ( in @ ( kpair @ X3 @ X2 ) @ ( breln1compset @ X1 @ X4 @ X0 ) )
| ~ ( in @ X3 @ X1 )
| ~ ( subset @ X4 @ ( cartprod @ X1 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( subset @ X0 @ ( cartprod @ X1 @ X1 ) )
| ~ ( in @ X2 @ X1 )
| ( in @ ( kpair @ ( sk__12 @ X2 @ X3 @ X0 @ X4 @ X1 ) @ X2 ) @ X0 )
| ~ ( in @ ( kpair @ X3 @ X2 ) @ ( breln1compset @ X1 @ X4 @ X0 ) )
| ~ ( in @ X3 @ X1 )
| ~ ( subset @ X4 @ ( cartprod @ X1 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X5: $i] :
( sk__11
| ~ ( in @ X5 @ sk__6 )
| ~ ( in @ ( kpair @ X5 @ sk__10 ) @ sk__8 )
| ~ ( in @ ( kpair @ sk__9 @ X5 ) @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
~ sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X5: $i] :
( ~ ( in @ X5 @ sk__6 )
| ~ ( in @ ( kpair @ X5 @ sk__10 ) @ sk__8 )
| ~ ( in @ ( kpair @ sk__9 @ X5 ) @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ ( cartprod @ X0 @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ ( kpair @ X2 @ sk__10 ) @ ( breln1compset @ X0 @ X1 @ sk__8 ) )
| ~ ( in @ sk__10 @ X0 )
| ~ ( subset @ sk__8 @ ( cartprod @ X0 @ X0 ) )
| ~ ( in @ ( kpair @ sk__9 @ ( sk__12 @ sk__10 @ X2 @ sk__8 @ X1 @ X0 ) ) @ sk__7 )
| ~ ( in @ ( sk__12 @ sk__10 @ X2 @ sk__8 @ X1 @ X0 ) @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl10]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ~ ( subset @ sk__7 @ ( cartprod @ X0 @ X0 ) )
| ~ ( in @ sk__9 @ X0 )
| ~ ( in @ ( kpair @ sk__9 @ sk__10 ) @ ( breln1compset @ X0 @ sk__7 @ sk__8 ) )
| ~ ( in @ sk__10 @ X0 )
| ~ ( subset @ sk__8 @ ( cartprod @ X0 @ X0 ) )
| ~ ( in @ ( sk__12 @ sk__10 @ sk__9 @ sk__8 @ sk__7 @ X0 ) @ sk__6 )
| ~ ( subset @ sk__8 @ ( cartprod @ X0 @ X0 ) )
| ~ ( in @ sk__10 @ X0 )
| ~ ( in @ ( kpair @ sk__9 @ sk__10 ) @ ( breln1compset @ X0 @ sk__7 @ sk__8 ) )
| ~ ( in @ sk__9 @ X0 )
| ~ ( subset @ sk__7 @ ( cartprod @ X0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl11]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ~ ( in @ ( sk__12 @ sk__10 @ sk__9 @ sk__8 @ sk__7 @ X0 ) @ sk__6 )
| ~ ( subset @ sk__8 @ ( cartprod @ X0 @ X0 ) )
| ~ ( in @ sk__10 @ X0 )
| ~ ( in @ ( kpair @ sk__9 @ sk__10 ) @ ( breln1compset @ X0 @ sk__7 @ sk__8 ) )
| ~ ( in @ sk__9 @ X0 )
| ~ ( subset @ sk__7 @ ( cartprod @ X0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
( ~ ( subset @ sk__7 @ ( cartprod @ sk__6 @ sk__6 ) )
| ~ ( in @ sk__9 @ sk__6 )
| ~ ( in @ ( kpair @ sk__9 @ sk__10 ) @ ( breln1compset @ sk__6 @ sk__7 @ sk__8 ) )
| ~ ( in @ sk__10 @ sk__6 )
| ~ ( subset @ sk__8 @ ( cartprod @ sk__6 @ sk__6 ) )
| ~ ( subset @ sk__7 @ ( cartprod @ sk__6 @ sk__6 ) )
| ~ ( in @ sk__9 @ sk__6 )
| ~ ( in @ ( kpair @ sk__9 @ sk__10 ) @ ( breln1compset @ sk__6 @ sk__7 @ sk__8 ) )
| ~ ( in @ sk__10 @ sk__6 )
| ~ ( subset @ sk__8 @ ( cartprod @ sk__6 @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl25]) ).
thf(zip_derived_cl9,plain,
subset @ sk__7 @ ( cartprod @ sk__6 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
in @ sk__9 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
in @ ( kpair @ sk__9 @ sk__10 ) @ ( breln1compset @ sk__6 @ sk__7 @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
in @ sk__10 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
subset @ sk__8 @ ( cartprod @ sk__6 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9_001,plain,
subset @ sk__7 @ ( cartprod @ sk__6 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8_002,plain,
in @ sk__9 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_003,plain,
in @ ( kpair @ sk__9 @ sk__10 ) @ ( breln1compset @ sk__6 @ sk__7 @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_004,plain,
in @ sk__10 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_005,plain,
subset @ sk__8 @ ( cartprod @ sk__6 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl9,zip_derived_cl8,zip_derived_cl7,zip_derived_cl4,zip_derived_cl3,zip_derived_cl9,zip_derived_cl8,zip_derived_cl7,zip_derived_cl4,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU781^2 : 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.pFjc76EWgn true
% 0.15/0.35 % Computer : n003.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 : Thu Aug 24 01:42:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.16/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.16/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.16/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.16/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.16/0.82 % Solved by lams/40_c.s.sh.
% 1.16/0.82 % done 21 iterations in 0.038s
% 1.16/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.16/0.82 % SZS output start Refutation
% See solution above
% 1.16/0.82
% 1.16/0.82
% 1.16/0.82 % Terminating...
% 1.66/0.86 % Runner terminated.
% 1.66/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------