TSTP Solution File: PHI004^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PHI004^4 : TPTP v8.1.2. Released v6.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KIJKQnTZ4O true
% Computer : n001.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 12:58:48 EDT 2023
% Result : Theorem 47.83s 6.86s
% Output : Refutation 47.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 130 ( 11 equ; 17 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 369 ( 37 ~; 18 |; 4 &; 259 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 86 ( 86 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 5 con; 0-3 aty)
% ( 27 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 126 ( 60 ^; 66 !; 0 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
thf(qML_i_type,type,
qML_i: $tType ).
thf(qML_mu_type,type,
qML_mu: $tType ).
thf(scott_P_type,type,
scott_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).
thf('#sk15_type',type,
'#sk15': qML_mu ).
thf(scott_G_type,type,
scott_G: qML_mu > qML_i > $o ).
thf('#sk14_type',type,
'#sk14': qML_i ).
thf(scott_ess_QML_mu_type,type,
scott_ess_QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf('#l_lift17477_type',type,
'#l_lift17477': ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(fact_0_G__def,axiom,
( scott_G
= ( ^ [X: qML_mu,W: qML_i] :
! [Y: qML_mu > qML_i > $o] :
( ( scott_P @ Y @ W )
=> ( Y @ X @ W ) ) ) ) ).
thf(zip_derived_cl0,plain,
( scott_G
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !!
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_0_G__def]) ).
thf(zip_derived_cl22,plain,
! [X2: qML_mu,X3: qML_i] :
( ( scott_G @ X2 @ X3 )
= ( ^ [Y0: qML_mu,Y1: qML_i] :
( !!
@ ^ [Y2: qML_mu > qML_i > $o] :
( ( scott_P @ Y2 @ Y1 )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X2
@ X3 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl23,plain,
! [X2: qML_mu,X3: qML_i] :
( ( scott_G @ X2 @ X3 )
= ( !!
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ X3 )
=> ( Y0 @ X2 @ X3 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).
thf(conj_0,conjecture,
! [W3: qML_i,X2: qML_mu] :
( ~ ( scott_G @ X2 @ W3 )
| ( scott_ess_QML_mu @ scott_G @ X2 @ W3 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W3: qML_i,X2: qML_mu] :
( ~ ( scott_G @ X2 @ W3 )
| ( scott_ess_QML_mu @ scott_G @ X2 @ W3 ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl10,plain,
~ ( !!
@ ^ [Y0: qML_i] :
( !!
@ ^ [Y1: qML_mu] :
( ( (~) @ ( scott_G @ Y1 @ Y0 ) )
| ( scott_ess_QML_mu @ scott_G @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
~ ( !!
@ ^ [Y0: qML_mu] :
( ( (~) @ ( scott_G @ Y0 @ '#sk14' ) )
| ( scott_ess_QML_mu @ scott_G @ Y0 @ '#sk14' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl33,plain,
~ ( ( (~) @ ( scott_G @ '#sk15' @ '#sk14' ) )
| ( scott_ess_QML_mu @ scott_G @ '#sk15' @ '#sk14' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl35,plain,
~ ( scott_ess_QML_mu @ scott_G @ '#sk15' @ '#sk14' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl33]) ).
thf(fact_4_ess__def,axiom,
( scott_ess_QML_mu
= ( ^ [Phi: qML_mu > qML_i > $o,X: qML_mu,W: qML_i] :
( ! [Y: qML_mu > qML_i > $o] :
( ( Y @ X @ W )
=> ! [V2: qML_i,Z: qML_mu] :
( ( Phi @ Z @ V2 )
=> ( Y @ Z @ V2 ) ) )
& ( Phi @ X @ W ) ) ) ) ).
thf(zip_derived_cl4,plain,
( scott_ess_QML_mu
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( ( !!
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !!
@ ^ [Y4: qML_i] :
( !!
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) )
& ( Y0 @ Y1 @ Y2 ) ) ) ),
inference(cnf,[status(esa)],[fact_4_ess__def]) ).
thf(zip_derived_cl64,plain,
! [X2: qML_mu > qML_i > $o,X3: qML_mu,X4: qML_i] :
( ( scott_ess_QML_mu @ X2 @ X3 @ X4 )
= ( ^ [Y0: qML_mu > qML_i > $o,Y1: qML_mu,Y2: qML_i] :
( ( !!
@ ^ [Y3: qML_mu > qML_i > $o] :
( ( Y3 @ Y1 @ Y2 )
=> ( !!
@ ^ [Y4: qML_i] :
( !!
@ ^ [Y5: qML_mu] :
( ( Y0 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) ) )
& ( Y0 @ Y1 @ Y2 ) )
@ X2
@ X3
@ X4 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl65,plain,
! [X2: qML_mu > qML_i > $o,X3: qML_mu,X4: qML_i] :
( ( scott_ess_QML_mu @ X2 @ X3 @ X4 )
= ( ( !!
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( Y0 @ X3 @ X4 )
=> ( !!
@ ^ [Y1: qML_i] :
( !!
@ ^ [Y2: qML_mu] :
( ( X2 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) )
& ( X2 @ X3 @ X4 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl34,plain,
scott_G @ '#sk15' @ '#sk14',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl33]) ).
thf(fact_5_A1b,axiom,
! [W2: qML_i,X3: qML_mu > qML_i > $o] :
( ~ ( scott_P @ X3 @ W2 )
=> ( scott_P
@ ^ [Y: qML_mu,Z: qML_i] :
~ ( X3 @ Y @ Z )
@ W2 ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: qML_i] :
( !!
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( (~) @ ( scott_P @ Y1 @ Y0 ) )
=> ( scott_P
@ ^ [Y2: qML_mu,Y3: qML_i] : ( (~) @ ( Y1 @ Y2 @ Y3 ) )
@ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_5_A1b]) ).
thf(zip_derived_cl36,plain,
! [X2: qML_i] :
( !!
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( (~) @ ( scott_P @ Y0 @ X2 ) )
=> ( scott_P
@ ^ [Y1: qML_mu,Y2: qML_i] : ( (~) @ ( Y0 @ Y1 @ Y2 ) )
@ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl37,plain,
! [X2: qML_i,X4: qML_mu > qML_i > $o] :
( ( (~) @ ( scott_P @ X4 @ X2 ) )
=> ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : ( (~) @ ( X4 @ Y0 @ Y1 ) )
@ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl40,plain,
! [X2: qML_i,X4: qML_mu > qML_i > $o] :
( ( scott_P @ X4 @ X2 )
| ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : ( (~) @ ( X4 @ Y0 @ Y1 ) )
@ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(fact_2_A4,axiom,
! [W2: qML_i,X3: qML_mu > qML_i > $o] :
( ( scott_P @ X3 @ W2 )
=> ! [X_1: qML_i] : ( scott_P @ X3 @ X_1 ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: qML_i] :
( !!
@ ^ [Y1: qML_mu > qML_i > $o] :
( ( scott_P @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: qML_i] : ( scott_P @ Y1 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_2_A4]) ).
thf(zip_derived_cl16,plain,
! [X2: qML_i] :
( !!
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: qML_i] : ( scott_P @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl17,plain,
! [X2: qML_i,X4: qML_mu > qML_i > $o] :
( ( scott_P @ X4 @ X2 )
=> ( !!
@ ^ [Y0: qML_i] : ( scott_P @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: qML_i,X4: qML_mu > qML_i > $o] :
( ~ ( scott_P @ X4 @ X2 )
| ( !!
@ ^ [Y0: qML_i] : ( scott_P @ X4 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
! [X2: qML_i,X4: qML_mu > qML_i > $o,X6: qML_i] :
( ( scott_P @ X4 @ X6 )
| ~ ( scott_P @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl216,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ( scott_P @ X1 @ X0 )
| ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : ( (~) @ ( X1 @ Y0 @ Y1 ) )
@ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl21]) ).
thf(zip_derived_cl40_001,plain,
! [X2: qML_i,X4: qML_mu > qML_i > $o] :
( ( scott_P @ X4 @ X2 )
| ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : ( (~) @ ( X4 @ Y0 @ Y1 ) )
@ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl6397,plain,
! [X4: qML_mu > qML_i > $o,X5: qML_mu,X6: qML_i] :
( ( '#l_lift17477' @ X4 @ X5 @ X6 )
= ( (~) @ ( X4 @ X5 @ X6 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6417,plain,
! [X0: qML_i,X1: qML_mu > qML_i > $o,X2: qML_i] :
( ( scott_P @ X1 @ X0 )
| ( scott_P @ ( '#l_lift17477' @ X1 ) @ X2 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl216,zip_derived_cl6397]) ).
thf(zip_derived_cl23_002,plain,
! [X2: qML_mu,X3: qML_i] :
( ( scott_G @ X2 @ X3 )
= ( !!
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ X3 )
=> ( Y0 @ X2 @ X3 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl212,plain,
! [X2: qML_mu,X3: qML_i] :
( ~ ( scott_G @ X2 @ X3 )
| ( !!
@ ^ [Y0: qML_mu > qML_i > $o] :
( ( scott_P @ Y0 @ X3 )
=> ( Y0 @ X2 @ X3 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl249,plain,
! [X2: qML_mu,X3: qML_i,X5: qML_mu > qML_i > $o] :
( ( ( scott_P @ X5 @ X3 )
=> ( X5 @ X2 @ X3 ) )
| ~ ( scott_G @ X2 @ X3 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl250,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu] :
( ( ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : ( (~) @ ( X0 @ Y0 @ Y1 ) )
@ X1 )
=> ( (~) @ ( X0 @ X2 @ X1 ) ) )
| ~ ( scott_G @ X2 @ X1 ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl249]) ).
thf(zip_derived_cl2670,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu] :
( ~ ( scott_P
@ ^ [Y0: qML_mu,Y1: qML_i] : ( (~) @ ( X0 @ Y0 @ Y1 ) )
@ X1 )
| ~ ( X0 @ X2 @ X1 )
| ~ ( scott_G @ X2 @ X1 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl6397_003,plain,
! [X4: qML_mu > qML_i > $o,X5: qML_mu,X6: qML_i] :
( ( '#l_lift17477' @ X4 @ X5 @ X6 )
= ( (~) @ ( X4 @ X5 @ X6 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl6416,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_i,X2: qML_mu] :
( ~ ( scott_P @ ( '#l_lift17477' @ X0 ) @ X1 )
| ~ ( X0 @ X2 @ X1 )
| ~ ( scott_G @ X2 @ X1 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl2670,zip_derived_cl6397]) ).
thf(zip_derived_cl6422,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl23,zip_derived_cl35,zip_derived_cl65,zip_derived_cl34,zip_derived_cl6417,zip_derived_cl6416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PHI004^4 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KIJKQnTZ4O true
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 09:25:32 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.23/0.68 % Total configuration time : 828
% 0.23/0.68 % Estimated wc time : 1656
% 0.23/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 47.83/6.86 % Solved by lams/20_acsne_simpl.sh.
% 47.83/6.86 % done 739 iterations in 6.038s
% 47.83/6.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 47.83/6.86 % SZS output start Refutation
% See solution above
% 47.83/6.86
% 47.83/6.86
% 47.83/6.86 % Terminating...
% 47.84/6.90 % Runner terminated.
% 47.84/6.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------