%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU775^2 : 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.Ah1YcAu0fp true
% Computer : n008.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 04:56:18 PM UTC 2025
% Result : Theorem 0.52s 0.79s
% Output : Refutation 0.52s
% 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 : 46 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 145 ( 2 ~; 0 |; 0 &; 137 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 61 ( 43 ^; 18 !; 0 ?; 61 :)
% 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(breln1_type,type,
breln1: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(breln1invset_type,type,
breln1invset: $i > $i > $i ).
thf(setOfPairsIsBReln1_type,type,
setOfPairsIsBReln1: $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(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(breln1invprop,conjecture,
( setOfPairsIsBReln1
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( breln1 @ A @ ( breln1invset @ A @ R ) ) ) ) ).
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 ) )
=> ( subset
@ ( dpsetconstr @ X8 @ X8
@ ^ [V_3: $i,V_4: $i] : ( in @ ( kpair @ V_4 @ V_3 ) @ X10 ) )
@ ( 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 ) )
=> ( subset
@ ( dpsetconstr @ X8 @ X8
@ ^ [V_3: $i,V_4: $i] : ( in @ ( kpair @ V_4 @ V_3 ) @ X10 ) )
@ ( cartprod @ X8 @ X8 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( subset
@ ( dpsetconstr @ sk__2 @ sk__2
@ ^ [Y0: $i,Y1: $i] : ( in @ ( kpair @ Y1 @ Y0 ) @ sk__3 ) )
@ ( 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_cl3,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_cl4,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU775^2 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ah1YcAu0fp true
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 16:11:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in HO mode
% 0.51/0.63 % Total configuration time : 828
% 0.51/0.63 % Estimated wc time : 1656
% 0.51/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.79 % Solved by lams/40_c.s.sh.
% 0.52/0.79 % done 2 iterations in 0.011s
% 0.52/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.79 % SZS output start Refutation
% See solution above
% 0.52/0.79
% 0.52/0.79
% 0.52/0.79 % Terminating...
% 0.52/0.84 % Runner terminated.
% 1.66/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------