TSTP Solution File: NUM713^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM713^1 : 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.811N6slhwm true
% Computer : n024.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 12:43:42 EDT 2023
% Result : Theorem 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 19 unt; 7 typ; 0 def)
% Number of atoms : 37 ( 25 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 182 ( 14 ~; 0 |; 0 &; 157 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% ( 11 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 41 ( 11 ^; 30 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf('#sk1_type',type,
'#sk1': nat ).
thf(y_type,type,
y: nat ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(z_type,type,
z: nat ).
thf(x_type,type,
x: nat ).
thf(m,axiom,
~ ! [Xx_0: nat] :
( x
!= ( pl @ y @ Xx_0 ) ) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: nat] :
( x
!= ( pl @ y @ Y0 ) ) ),
inference(cnf,[status(esa)],[m]) ).
thf(zip_derived_cl6,plain,
( x
!= ( pl @ y @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
( x
= ( pl @ y @ '#sk1' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(satz29,axiom,
! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ Y0 @ Y1 )
= ( ts @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl10,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ts @ X2 @ Y0 )
= ( ts @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl11,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(satz30,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ Xx @ ( pl @ Xy @ Xz ) )
= ( pl @ ( ts @ Xx @ Xy ) @ ( ts @ Xx @ Xz ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( ts @ Y0 @ ( pl @ Y1 @ Y2 ) )
= ( pl @ ( ts @ Y0 @ Y1 ) @ ( ts @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz30]) ).
thf(zip_derived_cl13,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ X2 @ ( pl @ Y0 @ Y1 ) )
= ( pl @ ( ts @ X2 @ Y0 ) @ ( ts @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl14,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( ( ts @ X2 @ ( pl @ X4 @ Y0 ) )
= ( pl @ ( ts @ X2 @ X4 ) @ ( ts @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ X2 @ ( pl @ X4 @ X6 ) )
= ( pl @ ( ts @ X2 @ X4 ) @ ( ts @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( ts @ X2 @ ( pl @ X4 @ X6 ) )
= ( pl @ ( ts @ X2 @ X4 ) @ ( ts @ X2 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( pl @ X1 @ X2 ) )
= ( pl @ ( ts @ X1 @ X0 ) @ ( ts @ X0 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl16]) ).
thf(satz32a,conjecture,
~ ! [Xx_0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ Xx_0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
! [Xx_0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ Xx_0 ) ),
inference('cnf.neg',[status(esa)],[satz32a]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ Y0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
! [X2: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: nat] :
( ( ts @ x @ z )
!= ( pl @ ( ts @ y @ z ) @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl27,plain,
! [X0: nat] :
( ( ts @ x @ z )
!= ( ts @ z @ ( pl @ y @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl9]) ).
thf(zip_derived_cl37,plain,
( ( ts @ x @ z )
!= ( ts @ z @ x ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl27]) ).
thf(zip_derived_cl12_001,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl39,plain,
( ( ts @ x @ z )
!= ( ts @ x @ z ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl12]) ).
thf(zip_derived_cl40,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM713^1 : TPTP v8.1.2. Released v3.7.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.811N6slhwm true
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 08:54:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.48/0.63 % Total configuration time : 828
% 0.48/0.63 % Estimated wc time : 1656
% 0.48/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74 % Solved by lams/35_full_unif4.sh.
% 0.53/0.74 % done 8 iterations in 0.011s
% 0.53/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.74 % SZS output start Refutation
% See solution above
% 0.53/0.74
% 0.53/0.74
% 0.53/0.74 % Terminating...
% 0.58/0.85 % Runner terminated.
% 0.58/0.86 % Zipperpin 1.5 exiting
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