TSTP Solution File: ALG270^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG270^5 : 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.NWqGrPtF0p true
% Computer : n005.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 : Wed Aug 30 17:12:40 EDT 2023
% Result : Theorem 0.20s 0.72s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 44 ( 20 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 258 ( 9 ~; 0 |; 0 &; 223 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% ( 23 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 52 ( 23 ^; 29 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk1_type',type,
'#sk1': a ).
thf(c_star_type,type,
c_star: a > a > a ).
thf('#sk3_type',type,
'#sk3': a ).
thf(cTHM23_pme,conjecture,
( ! [Xx: a,Xy: a,Xz: a] :
( ( c_star @ ( c_star @ Xx @ Xy ) @ Xz )
= ( c_star @ Xx @ ( c_star @ Xy @ Xz ) ) )
=> ! [W: a,X: a,Y: a,Z: a] :
( ( c_star @ ( c_star @ ( c_star @ W @ X ) @ Y ) @ Z )
= ( c_star @ W @ ( c_star @ X @ ( c_star @ Y @ Z ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xx: a,Xy: a,Xz: a] :
( ( c_star @ ( c_star @ Xx @ Xy ) @ Xz )
= ( c_star @ Xx @ ( c_star @ Xy @ Xz ) ) )
=> ! [W: a,X: a,Y: a,Z: a] :
( ( c_star @ ( c_star @ ( c_star @ W @ X ) @ Y ) @ Z )
= ( c_star @ W @ ( c_star @ X @ ( c_star @ Y @ Z ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM23_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( c_star @ ( c_star @ Y0 @ Y1 ) @ Y2 )
= ( c_star @ Y0 @ ( c_star @ Y1 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( c_star @ ( c_star @ ( c_star @ Y0 @ Y1 ) @ Y2 ) @ Y3 )
= ( c_star @ Y0 @ ( c_star @ Y1 @ ( c_star @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( c_star @ ( c_star @ ( c_star @ Y0 @ Y1 ) @ Y2 ) @ Y3 )
= ( c_star @ Y0 @ ( c_star @ Y1 @ ( c_star @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( c_star @ ( c_star @ ( c_star @ '#sk1' @ Y0 ) @ Y1 ) @ Y2 )
= ( c_star @ '#sk1' @ ( c_star @ Y0 @ ( c_star @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( c_star @ ( c_star @ ( c_star @ '#sk1' @ '#sk2' ) @ Y0 ) @ Y1 )
= ( c_star @ '#sk1' @ ( c_star @ '#sk2' @ ( c_star @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: a] :
( ( c_star @ ( c_star @ ( c_star @ '#sk1' @ '#sk2' ) @ '#sk3' ) @ Y0 )
= ( c_star @ '#sk1' @ ( c_star @ '#sk2' @ ( c_star @ '#sk3' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( ( c_star @ ( c_star @ ( c_star @ '#sk1' @ '#sk2' ) @ '#sk3' ) @ '#sk4' )
!= ( c_star @ '#sk1' @ ( c_star @ '#sk2' @ ( c_star @ '#sk3' @ '#sk4' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl11,plain,
( ( c_star @ ( c_star @ ( c_star @ '#sk1' @ '#sk2' ) @ '#sk3' ) @ '#sk4' )
!= ( c_star @ '#sk1' @ ( c_star @ '#sk2' @ ( c_star @ '#sk3' @ '#sk4' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( c_star @ ( c_star @ Y0 @ Y1 ) @ Y2 )
= ( c_star @ Y0 @ ( c_star @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( c_star @ ( c_star @ X2 @ Y0 ) @ Y1 )
= ( c_star @ X2 @ ( c_star @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( c_star @ ( c_star @ X2 @ X4 ) @ Y0 )
= ( c_star @ X2 @ ( c_star @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: a,X4: a,X6: a] :
( ( c_star @ ( c_star @ X2 @ X4 ) @ X6 )
= ( c_star @ X2 @ ( c_star @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: a,X4: a,X6: a] :
( ( c_star @ ( c_star @ X2 @ X4 ) @ X6 )
= ( c_star @ X2 @ ( c_star @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9_001,plain,
! [X2: a,X4: a,X6: a] :
( ( c_star @ ( c_star @ X2 @ X4 ) @ X6 )
= ( c_star @ X2 @ ( c_star @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9_002,plain,
! [X2: a,X4: a,X6: a] :
( ( c_star @ ( c_star @ X2 @ X4 ) @ X6 )
= ( c_star @ X2 @ ( c_star @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl20,plain,
( ( c_star @ '#sk1' @ ( c_star @ '#sk2' @ ( c_star @ '#sk3' @ '#sk4' ) ) )
!= ( c_star @ '#sk1' @ ( c_star @ '#sk2' @ ( c_star @ '#sk3' @ '#sk4' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl9,zip_derived_cl9,zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG270^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NWqGrPtF0p true
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:20:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.62 % Total configuration time : 828
% 0.20/0.62 % Estimated wc time : 1656
% 0.20/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.72 % Solved by lams/35_full_unif4.sh.
% 0.20/0.72 % done 1 iterations in 0.009s
% 0.20/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.72 % SZS output start Refutation
% See solution above
% 0.20/0.72
% 0.20/0.72
% 0.20/0.72 % Terminating...
% 1.61/0.82 % Runner terminated.
% 1.61/0.83 % Zipperpin 1.5 exiting
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