TSTP Solution File: PHI008^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PHI008^4 : TPTP v8.1.2. Released v6.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sJh3Qn17Xv true
% Computer : n004.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 12:58:50 EDT 2023
% Result : Theorem 1.37s 0.87s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 27 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 111 ( 15 ~; 13 |; 1 &; 78 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 52 ( 10 ^; 41 !; 1 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(qML_i_type,type,
qML_i: $tType ).
thf(qML_mu_type,type,
qML_mu: $tType ).
thf(sk__12_type,type,
sk__12: qML_i ).
thf(sk__1_type,type,
sk__1: qML_i > qML_mu ).
thf(scott_G_type,type,
scott_G: qML_mu > qML_i > $o ).
thf(sk__11_type,type,
sk__11: qML_i > $o ).
thf(scott_ess_QML_mu_type,type,
scott_ess_QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).
thf(sk__10_type,type,
sk__10: qML_i ).
thf(conj_0,conjecture,
! [W3: qML_i,X3: qML_i > $o] :
( ! [V3: qML_i] : ( X3 @ V3 )
| ~ ( X3 @ W3 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [W3: qML_i,X3: qML_i > $o] :
( ! [V3: qML_i] : ( X3 @ V3 )
| ~ ( X3 @ W3 ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl21,plain,
~ ( sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_2_T3,axiom,
! [W2: qML_i,V: qML_i] :
? [X3: qML_mu] : ( scott_G @ X3 @ V ) ).
thf(zip_derived_cl4,plain,
! [X0: qML_i] : ( scott_G @ ( sk__1 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[fact_2_T3]) ).
thf(fact_9_T2,axiom,
! [W2: qML_i,X2: qML_mu] :
( ( scott_G @ X2 @ W2 )
=> ( scott_ess_QML_mu @ scott_G @ X2 @ W2 ) ) ).
thf(zip_derived_cl16,plain,
! [X0: qML_mu,X1: qML_i] :
( ( scott_ess_QML_mu @ scott_G @ X0 @ X1 )
| ~ ( scott_G @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_9_T2]) ).
thf(zip_derived_cl4_001,plain,
! [X0: qML_i] : ( scott_G @ ( sk__1 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[fact_2_T3]) ).
thf(zip_derived_cl20,plain,
sk__11 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_4_ess__def,axiom,
! [Phi: qML_mu > qML_i > $o,X: qML_mu,W: qML_i] :
( ( scott_ess_QML_mu @ Phi @ X @ W )
<=> ( ( Phi @ X @ W )
& ! [Y: qML_mu > qML_i > $o] :
( ( Y @ X @ W )
=> ! [V2: qML_i,Z: qML_mu] :
( ( Phi @ Z @ V2 )
=> ( Y @ Z @ V2 ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: qML_mu > qML_i > $o,X1: qML_mu,X2: qML_i,X3: qML_mu,X4: qML_i,X5: qML_mu > qML_i > $o] :
( ~ ( X0 @ X1 @ X2 )
| ( X0 @ X3 @ X4 )
| ~ ( X5 @ X3 @ X4 )
| ~ ( scott_ess_QML_mu @ X5 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[fact_4_ess__def]) ).
thf(zip_derived_cl136,plain,
! [X0: qML_mu,X1: qML_mu > qML_i > $o,X2: qML_i,X3: qML_mu] :
( ~ ( scott_ess_QML_mu @ X1 @ X0 @ sk__10 )
| ~ ( X1 @ X3 @ X2 )
| ( ^ [Y0: qML_mu,Y1: qML_i] :
( sk__11
@ ( ^ [Y2: qML_mu,Y3: qML_i] : Y3
@ Y0
@ Y1 ) )
@ X3
@ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl7]) ).
thf(zip_derived_cl187,plain,
! [X0: qML_mu,X1: qML_mu > qML_i > $o,X2: qML_i,X3: qML_mu] :
( ~ ( scott_ess_QML_mu @ X1 @ X0 @ sk__10 )
| ~ ( X1 @ X3 @ X2 )
| ( sk__11 @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl194,plain,
! [X0: qML_i,X1: qML_mu] :
( ( sk__11 @ X0 )
| ~ ( scott_ess_QML_mu
@ ^ [Y0: qML_mu,Y1: qML_i] :
( scott_G
@ ( ^ [Y2: qML_mu,Y3: qML_i] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: qML_mu,Y3: qML_i] : Y3
@ Y0
@ Y1 ) )
@ X1
@ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl187]) ).
thf(zip_derived_cl204,plain,
! [X0: qML_i,X1: qML_mu] :
( ( sk__11 @ X0 )
| ~ ( scott_ess_QML_mu @ scott_G @ X1 @ sk__10 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl329,plain,
! [X0: qML_mu,X1: qML_i] :
( ~ ( scott_G @ X0 @ sk__10 )
| ( sk__11 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl204]) ).
thf(zip_derived_cl335,plain,
! [X0: qML_i] : ( sk__11 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl329]) ).
thf(zip_derived_cl342,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PHI008^4 : TPTP v8.1.2. Released v6.4.0.
% 0.14/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sJh3Qn17Xv true
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 08:47:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.22/0.64 % Total configuration time : 828
% 0.22/0.64 % Estimated wc time : 1656
% 0.22/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.99/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/0.87 % Solved by lams/40_noforms.sh.
% 1.37/0.87 % done 44 iterations in 0.123s
% 1.37/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.87 % SZS output start Refutation
% See solution above
% 1.37/0.87
% 1.37/0.87
% 1.37/0.87 % Terminating...
% 1.54/0.95 % Runner terminated.
% 1.54/0.96 % Zipperpin 1.5 exiting
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