TSTP Solution File: NUM692^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM692^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JkAal3f579 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 : Thu Aug 31 12:43:30 EDT 2023
% Result : Theorem 0.19s 0.74s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 40 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 79 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 251 ( 16 ~; 10 |; 0 &; 188 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 58 ( 16 ^; 42 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(u_type,type,
u: nat ).
thf(y_type,type,
y: nat ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(moreis_type,type,
moreis: nat > nat > $o ).
thf(lessis_type,type,
lessis: nat > nat > $o ).
thf(z_type,type,
z: nat ).
thf(x_type,type,
x: nat ).
thf(satz14,axiom,
! [Xx: nat,Xy: nat] :
( ( lessis @ Xx @ Xy )
=> ( moreis @ Xy @ Xx ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( lessis @ Y0 @ Y1 )
=> ( moreis @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz14]) ).
thf(zip_derived_cl9,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( lessis @ X2 @ Y0 )
=> ( moreis @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: nat,X4: nat] :
( ( lessis @ X2 @ X4 )
=> ( moreis @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: nat,X4: nat] :
( ~ ( lessis @ X2 @ X4 )
| ( moreis @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl11_001,plain,
! [X2: nat,X4: nat] :
( ~ ( lessis @ X2 @ X4 )
| ( moreis @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(satz23,axiom,
! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
( ( moreis @ Xx @ Xy )
=> ( ( moreis @ Xz @ Xu )
=> ( moreis @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xu ) ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( !!
@ ^ [Y3: nat] :
( ( moreis @ Y0 @ Y1 )
=> ( ( moreis @ Y2 @ Y3 )
=> ( moreis @ ( ts @ Y0 @ Y2 ) @ ( ts @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz23]) ).
thf(zip_derived_cl16,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( moreis @ X2 @ Y0 )
=> ( ( moreis @ Y1 @ Y2 )
=> ( moreis @ ( ts @ X2 @ Y1 ) @ ( ts @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl17,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( moreis @ X2 @ X4 )
=> ( ( moreis @ Y0 @ Y1 )
=> ( moreis @ ( ts @ X2 @ Y0 ) @ ( ts @ X4 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: nat,X4: nat,X6: nat] :
( !!
@ ^ [Y0: nat] :
( ( moreis @ X2 @ X4 )
=> ( ( moreis @ X6 @ Y0 )
=> ( moreis @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ( moreis @ X2 @ X4 )
=> ( ( moreis @ X6 @ X8 )
=> ( moreis @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ X8 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ~ ( moreis @ X2 @ X4 )
| ( ( moreis @ X6 @ X8 )
=> ( moreis @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ X8 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: nat,X4: nat,X6: nat,X8: nat] :
( ~ ( moreis @ X6 @ X8 )
| ( moreis @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ X8 ) )
| ~ ( moreis @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(satz13,axiom,
! [Xx: nat,Xy: nat] :
( ( moreis @ Xx @ Xy )
=> ( lessis @ Xy @ Xx ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( moreis @ Y0 @ Y1 )
=> ( lessis @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz13]) ).
thf(zip_derived_cl6,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( moreis @ X2 @ Y0 )
=> ( lessis @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: nat,X4: nat] :
( ( moreis @ X2 @ X4 )
=> ( lessis @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: nat,X4: nat] :
( ~ ( moreis @ X2 @ X4 )
| ( lessis @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl22,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ~ ( moreis @ X3 @ X1 )
| ~ ( moreis @ X2 @ X0 )
| ( lessis @ ( ts @ X1 @ X0 ) @ ( ts @ X3 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).
thf(satz23a,conjecture,
lessis @ ( ts @ x @ z ) @ ( ts @ y @ u ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( lessis @ ( ts @ x @ z ) @ ( ts @ y @ u ) ),
inference('cnf.neg',[status(esa)],[satz23a]) ).
thf(zip_derived_cl5,plain,
~ ( lessis @ ( ts @ x @ z ) @ ( ts @ y @ u ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
( ~ ( moreis @ u @ z )
| ~ ( moreis @ y @ x ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl5]) ).
thf(zip_derived_cl31,plain,
( ~ ( lessis @ z @ u )
| ~ ( moreis @ y @ x ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl26]) ).
thf(k,axiom,
lessis @ z @ u ).
thf(zip_derived_cl1,plain,
lessis @ z @ u,
inference(cnf,[status(esa)],[k]) ).
thf(zip_derived_cl34,plain,
~ ( moreis @ y @ x ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl1]) ).
thf(zip_derived_cl39,plain,
~ ( lessis @ x @ y ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl34]) ).
thf(l,axiom,
lessis @ x @ y ).
thf(zip_derived_cl0,plain,
lessis @ x @ y,
inference(cnf,[status(esa)],[l]) ).
thf(zip_derived_cl42,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM692^1 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JkAal3f579 true
% 0.13/0.34 % Computer : n017.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 : Fri Aug 25 17:30:55 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
% 0.19/0.63 % Total configuration time : 828
% 0.19/0.63 % Estimated wc time : 1656
% 0.19/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.74 % Solved by lams/35_full_unif4.sh.
% 0.19/0.74 % done 8 iterations in 0.012s
% 0.19/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.74 % SZS output start Refutation
% See solution above
% 0.19/0.74
% 0.19/0.74
% 0.19/0.75 % Terminating...
% 1.40/0.85 % Runner terminated.
% 1.40/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------