TSTP Solution File: NUM742^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM742^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nOeIYcClQT true
% Computer : n019.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 12:43:50 EDT 2023
% Result : Theorem 0.19s 0.80s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 48 ( 13 unt; 6 typ; 0 def)
% Number of atoms : 117 ( 0 equ; 1 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 305 ( 20 ~; 16 |; 0 &; 211 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 75 ( 20 ^; 55 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(frac_type,type,
frac: $tType ).
thf(lessf_type,type,
lessf: frac > frac > $o ).
thf(y_type,type,
y: frac ).
thf(eq_type,type,
eq: frac > frac > $o ).
thf(z_type,type,
z: frac ).
thf(x_type,type,
x: frac ).
thf(satz51a,conjecture,
lessf @ x @ z ).
thf(zf_stmt_0,negated_conjecture,
~ ( lessf @ x @ z ),
inference('cnf.neg',[status(esa)],[satz51a]) ).
thf(zip_derived_cl7,plain,
~ ( lessf @ x @ z ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l,axiom,
( ~ ( lessf @ x @ y )
=> ( eq @ x @ y ) ) ).
thf(zip_derived_cl0,plain,
( ( (~) @ ( lessf @ x @ y ) )
=> ( eq @ x @ y ) ),
inference(cnf,[status(esa)],[l]) ).
thf(zip_derived_cl8,plain,
( ( lessf @ x @ y )
| ( eq @ x @ y ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(satz38,axiom,
! [Xx: frac,Xy: frac] :
( ( eq @ Xx @ Xy )
=> ( eq @ Xy @ Xx ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( eq @ Y0 @ Y1 )
=> ( eq @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz38]) ).
thf(zip_derived_cl11,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( ( eq @ X2 @ Y0 )
=> ( eq @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X2: frac,X4: frac] :
( ( eq @ X2 @ X4 )
=> ( eq @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
! [X2: frac,X4: frac] :
( ~ ( eq @ X2 @ X4 )
| ( eq @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
( ( lessf @ x @ y )
| ( eq @ y @ x ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl13]) ).
thf(k,axiom,
lessf @ y @ z ).
thf(zip_derived_cl1,plain,
lessf @ y @ z,
inference(cnf,[status(esa)],[k]) ).
thf(satz50,axiom,
! [Xx: frac,Xy: frac,Xz: frac] :
( ( lessf @ Xx @ Xy )
=> ( ( lessf @ Xy @ Xz )
=> ( lessf @ Xx @ Xz ) ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( ( lessf @ Y0 @ Y1 )
=> ( ( lessf @ Y1 @ Y2 )
=> ( lessf @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz50]) ).
thf(zip_derived_cl43,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( lessf @ X2 @ Y0 )
=> ( ( lessf @ Y0 @ Y1 )
=> ( lessf @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl44,plain,
! [X2: frac,X4: frac] :
( !!
@ ^ [Y0: frac] :
( ( lessf @ X2 @ X4 )
=> ( ( lessf @ X4 @ Y0 )
=> ( lessf @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl45,plain,
! [X2: frac,X4: frac,X6: frac] :
( ( lessf @ X2 @ X4 )
=> ( ( lessf @ X4 @ X6 )
=> ( lessf @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
! [X2: frac,X4: frac,X6: frac] :
( ~ ( lessf @ X2 @ X4 )
| ( ( lessf @ X4 @ X6 )
=> ( lessf @ X2 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl47,plain,
! [X2: frac,X4: frac,X6: frac] :
( ~ ( lessf @ X4 @ X6 )
| ( lessf @ X2 @ X6 )
| ~ ( lessf @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl48,plain,
! [X0: frac] :
( ~ ( lessf @ X0 @ y )
| ( lessf @ X0 @ z ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl47]) ).
thf(zip_derived_cl7_001,plain,
~ ( lessf @ x @ z ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
~ ( lessf @ x @ y ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl7]) ).
thf(zip_derived_cl61,plain,
eq @ y @ x,
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl54]) ).
thf(satz37,axiom,
! [Xx: frac] : ( eq @ Xx @ Xx ) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: frac] : ( eq @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[satz37]) ).
thf(zip_derived_cl10,plain,
! [X2: frac] : ( eq @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(satz45,axiom,
! [Xx: frac,Xy: frac,Xz: frac,Xu: frac] :
( ( lessf @ Xx @ Xy )
=> ( ( eq @ Xx @ Xz )
=> ( ( eq @ Xy @ Xu )
=> ( lessf @ Xz @ Xu ) ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( !!
@ ^ [Y3: frac] :
( ( lessf @ Y0 @ Y1 )
=> ( ( eq @ Y0 @ Y2 )
=> ( ( eq @ Y1 @ Y3 )
=> ( lessf @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz45]) ).
thf(zip_derived_cl22,plain,
! [X2: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( !!
@ ^ [Y2: frac] :
( ( lessf @ X2 @ Y0 )
=> ( ( eq @ X2 @ Y1 )
=> ( ( eq @ Y0 @ Y2 )
=> ( lessf @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl23,plain,
! [X2: frac,X4: frac] :
( !!
@ ^ [Y0: frac] :
( !!
@ ^ [Y1: frac] :
( ( lessf @ X2 @ X4 )
=> ( ( eq @ X2 @ Y0 )
=> ( ( eq @ X4 @ Y1 )
=> ( lessf @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,plain,
! [X2: frac,X4: frac,X6: frac] :
( !!
@ ^ [Y0: frac] :
( ( lessf @ X2 @ X4 )
=> ( ( eq @ X2 @ X6 )
=> ( ( eq @ X4 @ Y0 )
=> ( lessf @ X6 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl25,plain,
! [X2: frac,X4: frac,X6: frac,X8: frac] :
( ( lessf @ X2 @ X4 )
=> ( ( eq @ X2 @ X6 )
=> ( ( eq @ X4 @ X8 )
=> ( lessf @ X6 @ X8 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl26,plain,
! [X2: frac,X4: frac,X6: frac,X8: frac] :
( ~ ( lessf @ X2 @ X4 )
| ( ( eq @ X2 @ X6 )
=> ( ( eq @ X4 @ X8 )
=> ( lessf @ X6 @ X8 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
! [X2: frac,X4: frac,X6: frac,X8: frac] :
( ~ ( eq @ X2 @ X6 )
| ( ( eq @ X4 @ X8 )
=> ( lessf @ X6 @ X8 ) )
| ~ ( lessf @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
! [X2: frac,X4: frac,X6: frac,X8: frac] :
( ~ ( eq @ X4 @ X8 )
| ( lessf @ X6 @ X8 )
| ~ ( lessf @ X2 @ X4 )
| ~ ( eq @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
! [X0: frac,X1: frac,X2: frac] :
( ~ ( eq @ X2 @ X1 )
| ~ ( lessf @ X2 @ X0 )
| ( lessf @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl28]) ).
thf(zip_derived_cl75,plain,
! [X0: frac] :
( ( lessf @ x @ X0 )
| ~ ( lessf @ y @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl31]) ).
thf(zip_derived_cl1_002,plain,
lessf @ y @ z,
inference(cnf,[status(esa)],[k]) ).
thf(zip_derived_cl87,plain,
lessf @ x @ z,
inference('sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl1]) ).
thf(zip_derived_cl99,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM742^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nOeIYcClQT true
% 0.13/0.34 % Computer : n019.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 12:17:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.19/0.64 % Total configuration time : 828
% 0.19/0.64 % Estimated wc time : 1656
% 0.19/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.19/0.80 % Solved by lams/35_full_unif4.sh.
% 0.19/0.80 % done 35 iterations in 0.031s
% 0.19/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.80 % SZS output start Refutation
% See solution above
% 0.19/0.80
% 0.19/0.80
% 0.19/0.80 % Terminating...
% 1.47/0.84 % Runner terminated.
% 1.47/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------