TSTP Solution File: SYO385^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO385^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bx5cDIPWcZ true
% Computer : n017.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 : Fri Sep 1 05:50:56 EDT 2023
% Result : Theorem 1.40s 0.85s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 10 unt; 10 typ; 0 def)
% Number of atoms : 396 ( 0 equ; 76 cnn)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 1228 ( 167 ~; 149 |; 39 &; 798 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-3 aty)
% ( 75 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 250 ( 75 ^; 175 !; 0 ?; 250 :)
% Comments :
%------------------------------------------------------------------------------
thf(d_type,type,
d: $i ).
thf(cQ_3_type,type,
cQ_3: $i > $i > $i > $o ).
thf(cP_1_type,type,
cP_1: $i > $i > $o ).
thf(cP_2_type,type,
cP_2: $i > $i > $o ).
thf(b_type,type,
b: $i ).
thf(cQ_1_type,type,
cQ_1: $i > $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(c_type,type,
c: $i ).
thf(cQ_2_type,type,
cQ_2: $i > $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(cTHM409_2,conjecture,
~ ( ! [Xx: $i,Xy: $i,Xz: $i] :
~ ( cQ_3 @ Xx @ Xy @ Xz )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_2 @ Xx @ Xy @ Xz )
| ~ ( cP_2 @ ( f @ Xx ) @ Xu )
| ~ ( cP_2 @ ( f @ Xy ) @ Xv )
| ~ ( cP_2 @ ( f @ Xz ) @ Xw )
| ( cQ_3 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_2 @ Xx @ Xy )
| ( cP_2 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_2 @ d @ Xx )
& ( cP_2 @ c @ c )
& ( cP_2 @ b @ b )
& ( cP_2 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_1 @ Xx @ Xy @ Xz )
| ~ ( cP_1 @ ( f @ Xx ) @ Xu )
| ~ ( cP_1 @ ( f @ Xy ) @ Xv )
| ~ ( cP_1 @ ( f @ Xz ) @ Xw )
| ( cQ_2 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_1 @ Xx @ Xy )
| ( cP_1 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_1 @ d @ Xx )
& ( cP_1 @ c @ c )
& ( cP_1 @ b @ b )
& ( cP_1 @ a @ a )
& ( cQ_1 @ a @ b @ c ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ! [Xx: $i,Xy: $i,Xz: $i] :
~ ( cQ_3 @ Xx @ Xy @ Xz )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_2 @ Xx @ Xy @ Xz )
| ~ ( cP_2 @ ( f @ Xx ) @ Xu )
| ~ ( cP_2 @ ( f @ Xy ) @ Xv )
| ~ ( cP_2 @ ( f @ Xz ) @ Xw )
| ( cQ_3 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_2 @ Xx @ Xy )
| ( cP_2 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_2 @ d @ Xx )
& ( cP_2 @ c @ c )
& ( cP_2 @ b @ b )
& ( cP_2 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_1 @ Xx @ Xy @ Xz )
| ~ ( cP_1 @ ( f @ Xx ) @ Xu )
| ~ ( cP_1 @ ( f @ Xy ) @ Xv )
| ~ ( cP_1 @ ( f @ Xz ) @ Xw )
| ( cQ_2 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_1 @ Xx @ Xy )
| ( cP_1 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_1 @ d @ Xx )
& ( cP_1 @ c @ c )
& ( cP_1 @ b @ b )
& ( cP_1 @ a @ a )
& ( cQ_1 @ a @ b @ c ) ),
inference('cnf.neg',[status(esa)],[cTHM409_2]) ).
thf(zip_derived_cl0,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] : ( (~) @ ( cQ_3 @ Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_2 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_2 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_2 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_2 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_3 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_2 @ Y0 @ Y1 ) )
| ( cP_2 @ ( f @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP_2 @ d @ Y0 ) )
& ( cP_2 @ c @ c )
& ( cP_2 @ b @ b )
& ( cP_2 @ a @ a )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_1 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_1 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_1 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_1 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_2 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_1 @ Y0 @ Y1 ) )
| ( cP_1 @ ( f @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP_1 @ d @ Y0 ) )
& ( cP_1 @ c @ c )
& ( cP_1 @ b @ b )
& ( cP_1 @ a @ a )
& ( cQ_1 @ a @ b @ c ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
cP_1 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
cP_2 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
cP_2 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_2 @ Y0 @ Y1 ) )
| ( cP_2 @ ( f @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_2 @ X2 @ Y0 ) )
| ( cP_2 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_2 @ X2 @ X4 ) )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29_001,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_1 @ Y0 @ Y1 ) )
| ( cP_1 @ ( f @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_1 @ X2 @ Y0 ) )
| ( cP_1 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_1 @ X2 @ X4 ) )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl31_002,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl31_003,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl14,plain,
cQ_1 @ a @ b @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_1 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_1 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_1 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_1 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_2 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( cQ_1 @ X2 @ Y0 @ Y1 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ Y2 ) )
| ( (~) @ ( cP_1 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_1 @ ( f @ Y1 ) @ Y4 ) )
| ( cQ_2 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ Y0 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ Y1 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ Y2 ) )
| ( (~) @ ( cP_1 @ ( f @ Y0 ) @ Y3 ) )
| ( cQ_2 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ Y0 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ Y1 ) )
| ( (~) @ ( cP_1 @ ( f @ X6 ) @ Y2 ) )
| ( cQ_2 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ Y0 ) )
| ( (~) @ ( cP_1 @ ( f @ X6 ) @ Y1 ) )
| ( cQ_2 @ X8 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_1 @ ( f @ X6 ) @ Y0 ) )
| ( cQ_2 @ X8 @ X10 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_1 @ ( f @ X6 ) @ X12 ) )
| ( cQ_2 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cQ_1 @ X2 @ X4 @ X6 )
| ~ ( cP_1 @ ( f @ X2 ) @ X8 )
| ~ ( cP_1 @ ( f @ X4 ) @ X10 )
| ~ ( cP_1 @ ( f @ X6 ) @ X12 )
| ( cQ_2 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cQ_2 @ X2 @ X1 @ X0 )
| ~ ( cP_1 @ ( f @ c ) @ X0 )
| ~ ( cP_1 @ ( f @ b ) @ X1 )
| ~ ( cP_1 @ ( f @ a ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl39]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_1 @ c @ X0 )
| ~ ( cP_1 @ ( f @ a ) @ X1 )
| ~ ( cP_1 @ ( f @ b ) @ X2 )
| ( cQ_2 @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl47]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_1 @ a @ X0 )
| ( cQ_2 @ X0 @ X2 @ X1 )
| ~ ( cP_1 @ ( f @ b ) @ X2 )
| ~ ( cP_1 @ c @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl49]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_1 @ b @ X0 )
| ~ ( cP_1 @ c @ X1 )
| ( cQ_2 @ X2 @ X0 @ X1 )
| ~ ( cP_1 @ a @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl51]) ).
thf(zip_derived_cl29_004,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_2 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_2 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_2 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_2 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_3 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( cQ_2 @ X2 @ Y0 @ Y1 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ Y2 ) )
| ( (~) @ ( cP_2 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_2 @ ( f @ Y1 ) @ Y4 ) )
| ( cQ_3 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ Y0 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ Y1 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ Y2 ) )
| ( (~) @ ( cP_2 @ ( f @ Y0 ) @ Y3 ) )
| ( cQ_3 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ Y0 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ Y1 ) )
| ( (~) @ ( cP_2 @ ( f @ X6 ) @ Y2 ) )
| ( cQ_3 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ Y0 ) )
| ( (~) @ ( cP_2 @ ( f @ X6 ) @ Y1 ) )
| ( cQ_3 @ X8 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl34,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_2 @ ( f @ X6 ) @ Y0 ) )
| ( cQ_3 @ X8 @ X10 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_2 @ ( f @ X6 ) @ X12 ) )
| ( cQ_3 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl38,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cQ_2 @ X2 @ X4 @ X6 )
| ~ ( cP_2 @ ( f @ X2 ) @ X8 )
| ~ ( cP_2 @ ( f @ X4 ) @ X10 )
| ~ ( cP_2 @ ( f @ X6 ) @ X12 )
| ( cQ_3 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] : ( (~) @ ( cQ_3 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl15,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( (~) @ ( cQ_3 @ X2 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] : ( (~) @ ( cQ_3 @ X2 @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
~ ( cQ_3 @ X2 @ X4 @ X6 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cP_2 @ ( f @ X6 ) @ X12 )
| ~ ( cP_2 @ ( f @ X4 ) @ X10 )
| ~ ( cP_2 @ ( f @ X2 ) @ X8 )
| ~ ( cQ_2 @ X2 @ X4 @ X6 ) ),
inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl27]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cQ_2 @ X3 @ X2 @ X1 )
| ~ ( cP_2 @ ( f @ X3 ) @ X4 )
| ~ ( cP_2 @ ( f @ X2 ) @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl40]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_1 @ a @ X2 )
| ~ ( cP_1 @ c @ X0 )
| ~ ( cP_1 @ b @ X1 )
| ~ ( cP_2 @ ( f @ X1 ) @ X3 )
| ~ ( cP_2 @ ( f @ X2 ) @ X4 )
| ~ ( cP_2 @ X0 @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl41]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_2 @ X3 @ X2 )
| ~ ( cP_2 @ ( f @ X5 ) @ X4 )
| ~ ( cP_1 @ b @ X1 )
| ~ ( cP_1 @ c @ X3 )
| ~ ( cP_1 @ a @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl57]) ).
thf(zip_derived_cl179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_1 @ a @ X1 )
| ~ ( cP_1 @ c @ X2 )
| ~ ( cP_1 @ b @ X3 )
| ~ ( cP_2 @ X2 @ X4 )
| ~ ( cP_2 @ X3 @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl119]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_2 @ X3 @ X2 )
| ~ ( cP_1 @ b @ X1 )
| ~ ( cP_1 @ c @ X3 )
| ~ ( cP_1 @ a @ a ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl179]) ).
thf(zip_derived_cl13,plain,
cP_1 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_2 @ X3 @ X2 )
| ~ ( cP_1 @ b @ X1 )
| ~ ( cP_1 @ c @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl13]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_1 @ c @ X0 )
| ~ ( cP_1 @ b @ b )
| ~ ( cP_2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl199]) ).
thf(zip_derived_cl12,plain,
cP_1 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_1 @ c @ X0 )
| ~ ( cP_2 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl12]) ).
thf(zip_derived_cl215,plain,
! [X0: $i] :
~ ( cP_2 @ c @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl213]) ).
thf(zip_derived_cl5,plain,
cP_2 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl217,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO385^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bx5cDIPWcZ true
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 07:05:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.32/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.32/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.40/0.85 % Solved by lams/35_full_unif4.sh.
% 1.40/0.85 % done 113 iterations in 0.106s
% 1.40/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/0.85 % SZS output start Refutation
% See solution above
% 1.40/0.86
% 1.40/0.86
% 1.40/0.86 % Terminating...
% 2.34/0.94 % Runner terminated.
% 2.36/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------