TSTP Solution File: NUM741^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM741^1 : 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.nXeeMZXG1W true
% Computer : n026.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 12:43:49 EDT 2023
% Result : Theorem 75.66s 10.46s
% Output : Refutation 75.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 48 ( 22 unt; 9 typ; 0 def)
% Number of atoms : 75 ( 21 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 351 ( 5 ~; 3 |; 0 &; 310 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% ( 24 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 86 ( 24 ^; 62 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(frac_type,type,
frac: $tType ).
thf(den_type,type,
den: frac > nat ).
thf(y_type,type,
y: frac ).
thf(ts_type,type,
ts: nat > nat > nat ).
thf(num_type,type,
num: frac > nat ).
thf(less_type,type,
less: nat > nat > $o ).
thf(z_type,type,
z: frac ).
thf(x_type,type,
x: frac ).
thf(satz50,conjecture,
less @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ x ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( less @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ x ) ) ),
inference('cnf.neg',[status(esa)],[satz50]) ).
thf(zip_derived_cl6,plain,
~ ( less @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ x ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(k,axiom,
less @ ( ts @ ( num @ y ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ y ) ) ).
thf(zip_derived_cl1,plain,
less @ ( ts @ ( num @ y ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ y ) ),
inference(cnf,[status(esa)],[k]) ).
thf(satz31,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ ( ts @ Xx @ Xy ) @ Xz )
= ( ts @ Xx @ ( ts @ Xy @ Xz ) ) ) ).
thf(zip_derived_cl5,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_cl96,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_cl5]) ).
thf(zip_derived_cl97,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_cl96]) ).
thf(zip_derived_cl98,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_cl97]) ).
thf(zip_derived_cl99,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_cl98]) ).
thf(satz29,axiom,
! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ Y0 @ Y1 )
= ( ts @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl27,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ts @ X2 @ Y0 )
= ( ts @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl28,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl29,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl106,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( ts @ X2 @ X1 ) )
= ( ts @ X2 @ ( ts @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl29]) ).
thf(zip_derived_cl106_001,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X0 @ ( ts @ X2 @ X1 ) )
= ( ts @ X2 @ ( ts @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl29]) ).
thf(zip_derived_cl251,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ X1 @ ( ts @ X0 @ X2 ) )
= ( ts @ X2 @ ( ts @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl106,zip_derived_cl106]) ).
thf(l,axiom,
less @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ).
thf(zip_derived_cl0,plain,
less @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ),
inference(cnf,[status(esa)],[l]) ).
thf(satz34a,axiom,
! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
( ( less @ Xx @ Xy )
=> ( ( less @ Xz @ Xu )
=> ( less @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xu ) ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( !!
@ ^ [Y3: nat] :
( ( less @ Y0 @ Y1 )
=> ( ( less @ Y2 @ Y3 )
=> ( less @ ( ts @ Y0 @ Y2 ) @ ( ts @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[satz34a]) ).
thf(zip_derived_cl4_002,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ts @ Y0 @ Y1 )
= ( ts @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[satz29]) ).
thf(zip_derived_cl29_003,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl99_004,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_cl98]) ).
thf(zip_derived_cl110,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( ts @ ( ts @ X1 @ X0 ) @ X2 )
= ( ts @ X0 @ ( ts @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl99]) ).
thf(zip_derived_cl5_005,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_cl29_006,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl29_007,plain,
! [X2: nat,X4: nat] :
( ( ts @ X2 @ X4 )
= ( ts @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(satz33c,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( less @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xz ) )
=> ( less @ Xx @ Xy ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat] :
( ( less @ ( ts @ Y0 @ Y2 ) @ ( ts @ Y1 @ Y2 ) )
=> ( less @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz33c]) ).
thf(zip_derived_cl42,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( less @ ( ts @ X2 @ Y1 ) @ ( ts @ Y0 @ Y1 ) )
=> ( less @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl43,plain,
! [X2: nat,X4: nat] :
( !!
@ ^ [Y0: nat] :
( ( less @ ( ts @ X2 @ Y0 ) @ ( ts @ X4 @ Y0 ) )
=> ( less @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
! [X2: nat,X4: nat,X6: nat] :
( ( less @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ X6 ) )
=> ( less @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl45,plain,
! [X2: nat,X4: nat,X6: nat] :
( ~ ( less @ ( ts @ X2 @ X6 ) @ ( ts @ X4 @ X6 ) )
| ( less @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
! [X0: nat,X1: nat,X2: nat] :
( ~ ( less @ ( ts @ X1 @ X0 ) @ ( ts @ X2 @ X1 ) )
| ( less @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl45]) ).
thf(zip_derived_cl60,plain,
! [X0: nat,X1: nat,X2: nat] :
( ~ ( less @ ( ts @ X1 @ X2 ) @ ( ts @ X1 @ X0 ) )
| ( less @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl46]) ).
thf(zip_derived_cl3928,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6,zip_derived_cl1,zip_derived_cl251,zip_derived_cl0,zip_derived_cl3,zip_derived_cl4,zip_derived_cl110,zip_derived_cl5,zip_derived_cl60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM741^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nXeeMZXG1W true
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 14:40:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.20/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 75.66/10.46 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 75.66/10.46 % Solved by lams/15_e_short1.sh.
% 75.66/10.46 % done 165 iterations in 9.631s
% 75.66/10.46 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 75.66/10.46 % SZS output start Refutation
% See solution above
% 75.66/10.46
% 75.66/10.46
% 75.66/10.46 % Terminating...
% 76.41/10.61 % Runner terminated.
% 76.43/10.63 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------