%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU778^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0VOknwAu0F true
% Computer : n022.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 Oct 2 04:56:19 PM UTC 2025
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 11 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 209 ( 2 ~; 0 |; 12 &; 185 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 6 con; 0-3 aty)
% ( 0 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 73 ( 47 ^; 21 !; 5 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(breln1compset_type,type,
breln1compset: $i > $i > $i > $i ).
thf(setOfPairsIsBReln1_type,type,
setOfPairsIsBReln1: $o ).
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(setOfPairsIsBReln1,axiom,
( setOfPairsIsBReln1
= ( ! [A: $i,Xphi: $i > $i > $o] :
( breln1 @ A
@ ( dpsetconstr @ A @ A
@ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ) ).
thf('2',plain,
( setOfPairsIsBReln1
= ( ! [X4: $i,X6: $i > $i > $o] :
( breln1 @ X4
@ ( dpsetconstr @ X4 @ X4
@ ^ [V_1: $i,V_2: $i] : ( X6 @ V_1 @ 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('3',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('4',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf('5',plain,
( breln1
= ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln1,'4']) ).
thf('6',plain,
( breln1
= ( ^ [V_1: $i,V_2: $i] : ( breln @ V_1 @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(breln1compprop,conjecture,
( setOfPairsIsBReln1
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $i > $o] :
( subset
@ ( dpsetconstr @ X4 @ X4
@ ^ [V_1: $i,V_2: $i] : ( X6 @ V_1 @ V_2 ) )
@ ( cartprod @ X4 @ X4 ) )
=> ! [X8: $i,X10: $i] :
( ( subset @ X10 @ ( cartprod @ X8 @ X8 ) )
=> ! [X12: $i] :
( ( subset @ X12 @ ( cartprod @ X8 @ X8 ) )
=> ( subset
@ ( dpsetconstr @ X8 @ X8
@ ^ [V_3: $i,V_4: $i] :
? [X14: $i] :
( ( in @ X14 @ X8 )
& ( in @ ( kpair @ V_3 @ X14 ) @ X10 )
& ( in @ ( kpair @ X14 @ V_4 ) @ X12 ) ) )
@ ( cartprod @ X8 @ X8 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $i > $o] :
( subset
@ ( dpsetconstr @ X4 @ X4
@ ^ [V_1: $i,V_2: $i] : ( X6 @ V_1 @ V_2 ) )
@ ( cartprod @ X4 @ X4 ) )
=> ! [X8: $i,X10: $i] :
( ( subset @ X10 @ ( cartprod @ X8 @ X8 ) )
=> ! [X12: $i] :
( ( subset @ X12 @ ( cartprod @ X8 @ X8 ) )
=> ( subset
@ ( dpsetconstr @ X8 @ X8
@ ^ [V_3: $i,V_4: $i] :
? [X14: $i] :
( ( in @ X14 @ X8 )
& ( in @ ( kpair @ V_3 @ X14 ) @ X10 )
& ( in @ ( kpair @ X14 @ V_4 ) @ X12 ) ) )
@ ( cartprod @ X8 @ X8 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( subset
@ ( dpsetconstr @ sk__2 @ sk__2
@ ^ [Y0: $i,Y1: $i] :
( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__2 )
& ( in @ ( kpair @ Y0 @ Y2 ) @ sk__3 )
& ( in @ ( kpair @ Y2 @ Y1 ) @ sk__4 ) ) ) )
@ ( cartprod @ sk__2 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i > $i > $o] :
( subset
@ ( dpsetconstr @ X0 @ X0
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) )
@ ( cartprod @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i > $i > $o] : ( subset @ ( dpsetconstr @ X0 @ X0 @ X1 ) @ ( cartprod @ X0 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU778^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0VOknwAu0F true
% 0.14/0.35 % Computer : n022.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 Oct 1 16:03:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.82 % Solved by lams/40_c_ic.sh.
% 0.61/0.82 % done 3 iterations in 0.008s
% 0.61/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.82 % SZS output start Refutation
% See solution above
% 0.61/0.82
% 0.61/0.82
% 0.61/0.82 % Terminating...
% 0.63/0.87 % Runner terminated.
% 0.63/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------