TSTP Solution File: SEV091^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV091^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w8nO2JYN3c 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 Aug 31 19:59:34 EDT 2023
% Result : Theorem 1.51s 0.83s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 191 ( 0 equ; 0 cnn)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 493 ( 24 ~; 33 |; 30 &; 328 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-2 aty)
% ( 52 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 141 ( 52 ^; 89 !; 0 ?; 141 :)
% Comments :
%------------------------------------------------------------------------------
thf(cQ_type,type,
cQ: $i > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(cP_type,type,
cP: $i > $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(cCADE13_pme,conjecture,
( ( ! [Xx: $i,Xy: $i] :
( ( cP @ Xx @ Xy )
| ( cQ @ Xx @ Xy ) )
& ! [Xx: $i,Xy: $i] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cQ @ Xy @ Xz )
& ( cQ @ Xx @ Xy ) )
=> ( cQ @ Xx @ Xz ) )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cP @ Xy @ Xz )
& ( cP @ Xx @ Xy ) )
=> ( cP @ Xx @ Xz ) ) )
=> ( ! [Xx: $i,Xy: $i] : ( cQ @ Xx @ Xy )
| ! [Xx: $i,Xy: $i] : ( cP @ Xx @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xx: $i,Xy: $i] :
( ( cP @ Xx @ Xy )
| ( cQ @ Xx @ Xy ) )
& ! [Xx: $i,Xy: $i] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cQ @ Xy @ Xz )
& ( cQ @ Xx @ Xy ) )
=> ( cQ @ Xx @ Xz ) )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cP @ Xy @ Xz )
& ( cP @ Xx @ Xy ) )
=> ( cP @ Xx @ Xz ) ) )
=> ( ! [Xx: $i,Xy: $i] : ( cQ @ Xx @ Xy )
| ! [Xx: $i,Xy: $i] : ( cP @ Xx @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cCADE13_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cP @ Y0 @ Y1 )
| ( cQ @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cQ @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cP @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cQ @ Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cP @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cQ @ Y0 @ Y1 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl13,plain,
~ ( !!
@ ^ [Y0: $i] : ( cQ @ '#sk1' @ Y0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl19,plain,
~ ( cQ @ '#sk1' @ '#sk3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cP @ Y0 @ Y1 )
| ( cQ @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cP @ Y0 @ Y1 )
| ( cQ @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( cP @ X2 @ Y0 )
| ( cQ @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i] :
( ( cP @ X2 @ X4 )
| ( cQ @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ( cP @ X2 @ X4 )
| ( cQ @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21_001,plain,
! [X2: $i,X4: $i] :
( ( cP @ X2 @ X4 )
| ( cQ @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( cP @ Y0 @ Y1 )
& ( cP @ X2 @ Y0 ) )
=> ( cP @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( cP @ X4 @ Y0 )
& ( cP @ X2 @ X4 ) )
=> ( cP @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( cP @ X4 @ X6 )
& ( cP @ X2 @ X4 ) )
=> ( cP @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( cP @ X4 @ X6 )
& ( cP @ X2 @ X4 ) )
| ( cP @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( cP @ X4 @ X6 )
| ~ ( cP @ X2 @ X4 )
| ( cP @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cQ @ X1 @ X0 )
| ( cP @ X2 @ X0 )
| ~ ( cP @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl28]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cQ @ X1 @ X0 )
| ( cP @ X1 @ X2 )
| ( cQ @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl63]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( cP @ Y0 @ Y1 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl14,plain,
~ ( !!
@ ^ [Y0: $i] : ( cP @ '#sk2' @ Y0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl20,plain,
~ ( cP @ '#sk2' @ '#sk4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ( cQ @ X0 @ '#sk4' )
| ( cQ @ '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl20]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( cQ @ X2 @ Y0 )
=> ( cQ @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ( cQ @ X2 @ X4 )
=> ( cQ @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i] :
( ~ ( cQ @ X2 @ X4 )
| ( cQ @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( cQ @ X0 @ '#sk4' )
| ( cQ @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl22]) ).
thf(zip_derived_cl21_002,plain,
! [X2: $i,X4: $i] :
( ( cP @ X2 @ X4 )
| ( cQ @ X2 @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20_003,plain,
~ ( cP @ '#sk2' @ '#sk4' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl31,plain,
cQ @ '#sk2' @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl20]) ).
thf(zip_derived_cl22_004,plain,
! [X2: $i,X4: $i] :
( ~ ( cQ @ X2 @ X4 )
| ( cQ @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl35,plain,
cQ @ '#sk4' @ '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl22]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( cQ @ Y0 @ Y1 )
& ( cQ @ X2 @ Y0 ) )
=> ( cQ @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( cQ @ X4 @ Y0 )
& ( cQ @ X2 @ X4 ) )
=> ( cQ @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( cQ @ X4 @ X6 )
& ( cQ @ X2 @ X4 ) )
=> ( cQ @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( cQ @ X4 @ X6 )
& ( cQ @ X2 @ X4 ) )
| ( cQ @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( cQ @ X4 @ X6 )
| ~ ( cQ @ X2 @ X4 )
| ( cQ @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( cQ @ X0 @ '#sk2' )
| ~ ( cQ @ X0 @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl27]) ).
thf(zip_derived_cl111,plain,
! [X0: $i] : ( cQ @ X0 @ '#sk2' ),
inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl39]) ).
thf(zip_derived_cl22_005,plain,
! [X2: $i,X4: $i] :
( ~ ( cQ @ X2 @ X4 )
| ( cQ @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl114,plain,
! [X0: $i] : ( cQ @ '#sk2' @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl22]) ).
thf(zip_derived_cl27_006,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( cQ @ X4 @ X6 )
| ~ ( cQ @ X2 @ X4 )
| ( cQ @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ( cQ @ X1 @ X0 )
| ~ ( cQ @ X1 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl27]) ).
thf(zip_derived_cl111_007,plain,
! [X0: $i] : ( cQ @ X0 @ '#sk2' ),
inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl39]) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i] : ( cQ @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl111]) ).
thf(zip_derived_cl133,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV091^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.w8nO2JYN3c true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 01:56:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.51/0.83 % Solved by lams/35_full_unif4.sh.
% 1.51/0.83 % done 52 iterations in 0.030s
% 1.51/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.51/0.83 % SZS output start Refutation
% See solution above
% 1.51/0.83
% 1.51/0.83
% 1.51/0.83 % Terminating...
% 1.51/0.87 % Runner terminated.
% 1.91/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------