TSTP Solution File: NUM686^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM686^1 : 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.Ql2G1yHvaU 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 12:43:26 EDT 2023
% Result : Theorem 1.46s 0.89s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 50 ( 4 unt; 13 typ; 0 def)
% Number of atoms : 155 ( 6 equ; 11 cnn)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 454 ( 15 ~; 9 |; 0 &; 388 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 12 usr; 8 con; 0-6 aty)
% ( 23 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 79 ( 25 ^; 42 !; 0 ?; 79 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(u_type,type,
u: nat ).
thf(y_type,type,
y: nat ).
thf(diffprop_type,type,
diffprop: nat > nat > nat > $o ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(some_type,type,
some: ( nat > $o ) > $o ).
thf(z_type,type,
z: nat ).
thf(x_type,type,
x: nat ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(satz6,axiom,
! [Xx: nat,Xy: nat] :
( ( pl @ Xx @ Xy )
= ( pl @ Xy @ Xx ) ) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( pl @ Y0 @ Y1 )
= ( pl @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz6]) ).
thf(zip_derived_cl9,plain,
!! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=) ) @ pl ) ) @ ( '#C' @ pl ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: nat] : ( !! @ ( '#S' @ ( '#B' @ (=) @ ( pl @ X2 ) ) @ ( '#C' @ pl @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
! [X2: nat,X4: nat] :
( ( pl @ X2 @ X4 )
= ( pl @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X2: nat,X4: nat] :
( ( pl @ X2 @ X4 )
= ( pl @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(satz19a,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( some
@ ^ [Xu: nat] : ( diffprop @ Xx @ Xy @ Xu ) )
=> ( some
@ ^ [Xu: nat] : ( diffprop @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xz ) @ Xu ) ) ) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( some
@ ^ [Y3: nat] : ( diffprop @ Y0 @ Y1 @ Y3 ) )
=> ( some
@ ^ [Y3: nat] : ( diffprop @ ( pl @ Y0 @ Y2 ) @ ( pl @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz19a]) ).
thf(zip_derived_cl7,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ some ) @ diffprop ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ some ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ diffprop ) @ pl ) ) ) @ pl ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X2: nat] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ ( '#B' @ some @ ( diffprop @ X2 ) ) ) ) @ ( '#B' @ ( '#B' @ some ) @ ( '#B' @ ( '#S' @ ( '#B' @ diffprop @ ( pl @ X2 ) ) ) @ pl ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: nat,X4: nat] : ( !! @ ( '#B' @ ( (=>) @ ( some @ ( diffprop @ X2 @ X4 ) ) ) @ ( '#B' @ some @ ( '#S' @ ( '#B' @ diffprop @ ( pl @ X2 ) ) @ ( pl @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( some @ ( diffprop @ X2 @ X4 ) )
=> ( some @ ( diffprop @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( some @ ( diffprop @ X2 @ X4 ) )
| ( some @ ( diffprop @ ( pl @ X2 @ X6 ) @ ( pl @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( some @ ( diffprop @ ( pl @ X2 @ X1 ) @ ( pl @ X1 @ X0 ) ) )
| ~ ( some @ ( diffprop @ X2 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).
thf(zip_derived_cl24_001,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( some @ ( diffprop @ ( pl @ X2 @ X1 ) @ ( pl @ X1 @ X0 ) ) )
| ~ ( some @ ( diffprop @ X2 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).
thf(satz15,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( some
@ ^ [Xv: nat] : ( diffprop @ Xy @ Xx @ Xv ) )
=> ( ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xy @ Xv ) )
=> ( some
@ ^ [Xv: nat] : ( diffprop @ Xz @ Xx @ Xv ) ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( some
@ ^ [Y3: nat] : ( diffprop @ Y1 @ Y0 @ Y3 ) )
=> ( ( some
@ ^ [Y3: nat] : ( diffprop @ Y2 @ Y1 @ Y3 ) )
=> ( some
@ ^ [Y3: nat] : ( diffprop @ Y2 @ Y0 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz15]) ).
thf(zip_derived_cl5,plain,
!! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ some ) @ ( '#C' @ diffprop ) ) ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ some ) @ ( '#C' @ diffprop ) ) ) ) ) @ ( '#B' @ ( '#B' @ some ) @ ( '#C' @ diffprop ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl19,plain,
! [X2: nat] : ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ ( '#B' @ some @ ( '#C' @ diffprop @ X2 ) ) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ some ) @ ( '#C' @ diffprop ) ) ) ) @ ( '#B' @ some @ ( '#C' @ diffprop @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl20,plain,
! [X2: nat,X4: nat] : ( !! @ ( '#B' @ ( (=>) @ ( some @ ( diffprop @ X4 @ X2 ) ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ some @ ( '#C' @ diffprop @ X4 ) ) ) @ ( '#B' @ some @ ( '#C' @ diffprop @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( some @ ( diffprop @ X4 @ X2 ) )
=> ( ( some @ ( diffprop @ X6 @ X4 ) )
=> ( some @ ( diffprop @ X6 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( some @ ( diffprop @ X4 @ X2 ) )
| ( ( some @ ( diffprop @ X6 @ X4 ) )
=> ( some @ ( diffprop @ X6 @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( some @ ( diffprop @ X6 @ X4 ) )
| ( some @ ( diffprop @ X6 @ X2 ) )
| ~ ( some @ ( diffprop @ X4 @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(satz21,conjecture,
( some
@ ^ [Xu_0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Xu_0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( some
@ ^ [Xu_0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Xu_0 ) ),
inference('cnf.neg',[status(esa)],[satz21]) ).
thf(zip_derived_cl10,plain,
~ ( some
@ ^ [Y0: nat] : ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
~ ( some @ ( diffprop @ ( pl @ x @ z ) @ ( pl @ y @ u ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl32,plain,
! [X0: nat] :
( ~ ( some @ ( diffprop @ X0 @ ( pl @ y @ u ) ) )
| ~ ( some @ ( diffprop @ ( pl @ x @ z ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl11]) ).
thf(zip_derived_cl84,plain,
! [X0: nat] :
( ~ ( some @ ( diffprop @ X0 @ u ) )
| ~ ( some @ ( diffprop @ ( pl @ x @ z ) @ ( pl @ X0 @ y ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl32]) ).
thf(zip_derived_cl164,plain,
( ~ ( some @ ( diffprop @ x @ y ) )
| ~ ( some @ ( diffprop @ z @ u ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl84]) ).
thf(m,axiom,
( some
@ ^ [Xu: nat] : ( diffprop @ x @ y @ Xu ) ) ).
thf(zip_derived_cl0,plain,
( some
@ ^ [Y0: nat] : ( diffprop @ x @ y @ Y0 ) ),
inference(cnf,[status(esa)],[m]) ).
thf(zip_derived_cl1,plain,
some @ ( diffprop @ x @ y ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(n,axiom,
( some
@ ^ [Xu_0: nat] : ( diffprop @ z @ u @ Xu_0 ) ) ).
thf(zip_derived_cl2,plain,
( some
@ ^ [Y0: nat] : ( diffprop @ z @ u @ Y0 ) ),
inference(cnf,[status(esa)],[n]) ).
thf(zip_derived_cl3,plain,
some @ ( diffprop @ z @ u ),
inference(lams2combs,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl167,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl1,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM686^1 : TPTP v8.1.2. Released v3.7.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ql2G1yHvaU true
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 13:24:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % 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
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.31/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.45/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/0.89 % Solved by lams/40_b.comb.sh.
% 1.46/0.89 % done 38 iterations in 0.079s
% 1.46/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/0.89 % SZS output start Refutation
% See solution above
% 1.46/0.89
% 1.46/0.89
% 1.46/0.89 % Terminating...
% 1.65/0.97 % Runner terminated.
% 1.65/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------