%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO169^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hbu0diOd3p true
% Computer : n007.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 05:06:34 PM UTC 2025
% Result : Theorem 0.59s 0.82s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 1
% Syntax : Number of formulae : 34 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 155 ( 6 equ; 0 cnn)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 463 ( 15 ~; 12 |; 25 &; 339 @)
% ( 12 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-3 aty)
% ( 42 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 133 ( 42 ^; 91 !; 0 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
thf(cPx_type,type,
cPx: $i > $i > $o ).
thf(ab_type,type,
ab: $i ).
thf(b_type,type,
b: $i ).
thf(e_type,type,
e: $i ).
thf(cP_type,type,
cP: $i > $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(cGRP_COMM,conjecture,
( ( ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i,Xyz: $i,Xxyz: $i] :
( ( ( cP @ Xy @ Xz @ Xyz )
& ( cP @ Xx @ Xy @ Xxy ) )
=> ( ( cP @ Xxy @ Xz @ Xxyz )
<=> ( cPx @ Xyz @ Xxyz ) ) )
& ! [Xz: $i] : ( cP @ Xz @ Xz @ e )
& ! [Xy: $i] : ( cP @ Xy @ e @ Xy )
& ! [Xx: $i] : ( cP @ e @ Xx @ Xx ) )
=> ( ( cP @ a @ b @ ab )
=> ( cP @ b @ a @ ab ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xx: $i,Xy: $i,Xz: $i,Xxy: $i,Xyz: $i,Xxyz: $i] :
( ( ( cP @ Xy @ Xz @ Xyz )
& ( cP @ Xx @ Xy @ Xxy ) )
=> ( ( cP @ Xxy @ Xz @ Xxyz )
<=> ( cPx @ Xyz @ Xxyz ) ) )
& ! [Xz: $i] : ( cP @ Xz @ Xz @ e )
& ! [Xy: $i] : ( cP @ Xy @ e @ Xy )
& ! [Xx: $i] : ( cP @ e @ Xx @ Xx ) )
=> ( ( cP @ a @ b @ ab )
=> ( cP @ b @ a @ ab ) ) ),
inference('cnf.neg',[status(esa)],[cGRP_COMM]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( cP @ Y1 @ Y2 @ Y4 )
& ( cP @ Y0 @ Y1 @ Y3 ) )
=> ( ( cP @ Y3 @ Y2 @ Y5 )
<=> ( cPx @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP @ Y0 @ Y0 @ e ) )
& ( !!
@ ^ [Y0: $i] : ( cP @ Y0 @ e @ Y0 ) )
& ( !!
@ ^ [Y0: $i] : ( cP @ e @ Y0 @ Y0 ) ) )
=> ( ( cP @ a @ b @ ab )
=> ( cP @ b @ a @ ab ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( ( cP @ a @ b @ ab )
=> ( cP @ b @ a @ ab ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
~ ( cP @ b @ a @ ab ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( cP @ Y1 @ Y2 @ Y4 )
& ( cP @ Y0 @ Y1 @ Y3 ) )
=> ( ( cP @ Y3 @ Y2 @ Y5 )
<=> ( cPx @ Y4 @ Y5 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP @ Y0 @ Y0 @ e ) )
& ( !!
@ ^ [Y0: $i] : ( cP @ Y0 @ e @ Y0 ) )
& ( !!
@ ^ [Y0: $i] : ( cP @ e @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] : ( cP @ e @ Y0 @ Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] : ( cP @ e @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] : ( cP @ Y0 @ Y0 @ e ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] : ( cP @ X2 @ X2 @ e ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( cP @ Y1 @ Y2 @ Y4 )
& ( cP @ Y0 @ Y1 @ Y3 ) )
=> ( ( cP @ Y3 @ Y2 @ Y5 )
<=> ( cPx @ Y4 @ Y5 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( cP @ Y0 @ Y1 @ Y3 )
& ( cP @ X2 @ Y0 @ Y2 ) )
=> ( ( cP @ Y2 @ Y1 @ Y4 )
<=> ( cPx @ Y3 @ Y4 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( cP @ X4 @ Y0 @ Y2 )
& ( cP @ X2 @ X4 @ Y1 ) )
=> ( ( cP @ Y1 @ Y0 @ Y3 )
<=> ( cPx @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( cP @ X4 @ X6 @ Y1 )
& ( cP @ X2 @ X4 @ Y0 ) )
=> ( ( cP @ Y0 @ X6 @ Y2 )
<=> ( cPx @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( cP @ X4 @ X6 @ Y0 )
& ( cP @ X2 @ X4 @ X8 ) )
=> ( ( cP @ X8 @ X6 @ Y1 )
<=> ( cPx @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( cP @ X4 @ X6 @ X10 )
& ( cP @ X2 @ X4 @ X8 ) )
=> ( ( cP @ X8 @ X6 @ Y0 )
<=> ( cPx @ X10 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( ( cP @ X4 @ X6 @ X10 )
& ( cP @ X2 @ X4 @ X8 ) )
=> ( ( cP @ X8 @ X6 @ X12 )
<=> ( cPx @ X10 @ X12 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( ( cP @ X4 @ X6 @ X10 )
& ( cP @ X2 @ X4 @ X8 ) )
| ( ( cP @ X8 @ X6 @ X12 )
<=> ( cPx @ X10 @ X12 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( ( cP @ X4 @ X6 @ X10 )
& ( cP @ X2 @ X4 @ X8 ) )
| ( ( cP @ X8 @ X6 @ X12 )
= ( cPx @ X10 @ X12 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cP @ X4 @ X6 @ X10 )
| ~ ( cP @ X2 @ X4 @ X8 )
| ( ( cP @ X8 @ X6 @ X12 )
= ( cPx @ X10 @ X12 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cP @ X2 @ X0 @ X1 )
= ( cPx @ e @ X1 ) )
| ~ ( cP @ X3 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl20]) ).
thf(zip_derived_cl12_001,plain,
! [X2: $i] : ( cP @ e @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl20_002,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cP @ X4 @ X6 @ X10 )
| ~ ( cP @ X2 @ X4 @ X8 )
| ( ( cP @ X8 @ X6 @ X12 )
= ( cPx @ X10 @ X12 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cP @ X2 @ X0 @ X1 )
= ( cPx @ X0 @ X1 ) )
| ~ ( cP @ X3 @ e @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl20]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( cPx @ e @ X0 )
| ( ( cP @ X0 @ e @ X0 )
= ( cPx @ e @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( cPx @ e @ X0 )
| ~ ( cP @ X0 @ e @ X0 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] : ( cP @ Y0 @ e @ Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] : ( cP @ X2 @ e @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] : ( cPx @ e @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl11]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cP @ X2 @ X0 @ X1 )
| ~ ( cP @ X3 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl69]) ).
thf(zip_derived_cl162,plain,
! [X0: $i,X1: $i] : ( cP @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl159]) ).
thf(zip_derived_cl159_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cP @ X2 @ X0 @ X1 )
| ~ ( cP @ X3 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl69]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i,X2: $i] : ( cP @ X0 @ X1 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl159]) ).
thf(zip_derived_cl233,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO169^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hbu0diOd3p true
% 0.14/0.35 % Computer : n007.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 18:16:53 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
% 0.56/0.68 % Total configuration time : 828
% 0.56/0.68 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.82 % Solved by lams/35_full_unif4.sh.
% 0.59/0.82 % done 57 iterations in 0.058s
% 0.59/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.82 % SZS output start Refutation
% See solution above
% 0.59/0.82
% 0.59/0.82
% 0.59/0.82 % Terminating...
% 1.82/0.86 % Runner terminated.
% 1.82/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------