TSTP Solution File: NUM727^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM727^1 : 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.bkz40yuz0g true
% Computer : n018.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 12:43:44 EDT 2023
% Result : Theorem 1.68s 1.09s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 26 unt; 8 typ; 0 def)
% Number of atoms : 64 ( 48 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 335 ( 12 ~; 4 |; 0 &; 299 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 77 ( 15 ^; 62 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(frac_type,type,
frac: $tType ).
thf(y_type,type,
y: frac ).
thf(num_type,type,
num: frac > nat ).
thf(den_type,type,
den: frac > nat ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(z_type,type,
z: frac ).
thf(x_type,type,
x: frac ).
thf(e,axiom,
( ( ts @ ( num @ x ) @ ( den @ y ) )
= ( ts @ ( num @ y ) @ ( den @ x ) ) ) ).
thf(zip_derived_cl0,plain,
( ( ts @ ( num @ x ) @ ( den @ y ) )
= ( ts @ ( num @ y ) @ ( den @ x ) ) ),
inference(cnf,[status(esa)],[e]) ).
thf(satz33b,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ( ts @ Xx @ Xz )
= ( ts @ Xy @ Xz ) )
=> ( Xx = Xy ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( ( ts @ Y0 @ Y2 )
= ( ts @ Y1 @ Y2 ) )
=> ( Y0 = Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz33b]) ).
thf(zip_derived_cl203,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ( ts @ X2 @ Y1 )
= ( ts @ Y0 @ Y1 ) )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl204,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( ( ( ts @ X2 @ Y0 )
= ( ts @ X4 @ Y0 ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl205,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ( ts @ X2 @ X6 )
= ( ts @ X4 @ X6 ) )
=> ( X2 = X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl206,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ( ts @ X2 @ X6 )
!= ( ts @ X4 @ X6 ) )
| ( X2 = X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl207,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ( ts @ X2 @ X6 )
!= ( ts @ X4 @ X6 ) )
| ( X2 = X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl206]) ).
thf(satz39,conjecture,
( ( ts @ ( num @ x ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ x ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ts @ ( num @ x ) @ ( den @ z ) )
!= ( ts @ ( num @ z ) @ ( den @ x ) ) ),
inference('cnf.neg',[status(esa)],[satz39]) ).
thf(zip_derived_cl5,plain,
( ( ts @ ( num @ x ) @ ( den @ z ) )
!= ( ts @ ( num @ z ) @ ( den @ x ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl216,plain,
! [X0: nat,X1: nat] :
( ( ( ts @ ( num @ x ) @ ( den @ z ) )
!= X0 )
| ( ( ts @ ( ts @ ( num @ z ) @ ( den @ x ) ) @ X1 )
!= ( ts @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl5]) ).
thf(satz29,axiom,
! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ Y0 @ Y1 )
= ( ts @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl34,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ts @ X2 @ Y0 )
= ( ts @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl35,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(satz31,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ ( ts @ Xx @ Xy ) @ Xz )
= ( ts @ Xx @ ( ts @ Xy @ Xz ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( ts @ ( ts @ Y0 @ Y1 ) @ Y2 )
= ( ts @ Y0 @ ( ts @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz31]) ).
thf(zip_derived_cl41,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ ( ts @ X2 @ Y0 ) @ Y1 )
= ( ts @ X2 @ ( ts @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl42,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ Y0 )
= ( ts @ X2 @ ( ts @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl43,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl51,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ ( ts @ X1 @ X0 ) @ X2 )
= ( ts @ X0 @ ( ts @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl44]) ).
thf(zip_derived_cl44_001,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ ( ts @ X2 @ X4 ) @ X6 )
= ( ts @ X2 @ ( ts @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl36_002,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl45,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( ts @ X2 @ X1 ) )
= ( ts @ X2 @ ( ts @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl36]) ).
thf(zip_derived_cl290,plain,
! [X0: nat,X1: nat] :
( ( ( ts @ ( num @ x ) @ ( den @ z ) )
!= X0 )
| ( ( ts @ ( num @ z ) @ ( ts @ X1 @ ( den @ x ) ) )
!= ( ts @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl51,zip_derived_cl45]) ).
thf(zip_derived_cl291,plain,
! [X1: nat] :
( ( ts @ ( num @ z ) @ ( ts @ X1 @ ( den @ x ) ) )
!= ( ts @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl290]) ).
thf(zip_derived_cl51_003,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ ( ts @ X1 @ X0 ) @ X2 )
= ( ts @ X0 @ ( ts @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl44]) ).
thf(zip_derived_cl45_004,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( ts @ X2 @ X1 ) )
= ( ts @ X2 @ ( ts @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl36]) ).
thf(zip_derived_cl292,plain,
! [X1: nat] :
( ( ts @ ( num @ z ) @ ( ts @ X1 @ ( den @ x ) ) )
!= ( ts @ ( num @ x ) @ ( ts @ X1 @ ( den @ z ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl51,zip_derived_cl45]) ).
thf(zip_derived_cl338,plain,
( ( ts @ ( num @ z ) @ ( ts @ ( num @ x ) @ ( den @ y ) ) )
!= ( ts @ ( num @ x ) @ ( ts @ ( num @ y ) @ ( den @ z ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl292]) ).
thf(zip_derived_cl45_005,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( ts @ X2 @ X1 ) )
= ( ts @ X2 @ ( ts @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl36]) ).
thf(zip_derived_cl36_006,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(f,axiom,
( ( ts @ ( num @ y ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ y ) ) ) ).
thf(zip_derived_cl1,plain,
( ( ts @ ( num @ y ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ y ) ) ),
inference(cnf,[status(esa)],[f]) ).
thf(zip_derived_cl403,plain,
( ( ts @ ( num @ x ) @ ( ts @ ( num @ y ) @ ( den @ z ) ) )
!= ( ts @ ( num @ x ) @ ( ts @ ( num @ y ) @ ( den @ z ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl45,zip_derived_cl36,zip_derived_cl1]) ).
thf(zip_derived_cl404,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM727^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bkz40yuz0g true
% 0.13/0.35 % Computer : n018.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 : Fri Aug 25 12:07:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.68/1.09 % Solved by lams/15_e_short1.sh.
% 1.68/1.09 % done 11 iterations in 0.288s
% 1.68/1.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.68/1.09 % SZS output start Refutation
% See solution above
% 1.68/1.09
% 1.68/1.09
% 1.68/1.09 % Terminating...
% 2.05/1.16 % Runner terminated.
% 2.05/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------